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ddb514a2c6cbfa4cf808cb15ba1e3a97
RECAP: Nuptials For Edith On 'Downton Abbey'?
by UInterviewJanuary 14, 2013, 12:00 amJanuary 14, 2013, 12:00 amJanuary 14, 2013, 12:00 amNews >
Downton Abbey is back for American audiences, and episode two of season three had another wedding — almost — in store for fans. Edith (Laura Carmichael) and Anthony Strallan (Robert Bathurst) are set to tie the knot and, in Edith's words, be "so terribly, terribly happy," in spite of the fact that Edith is dull and the one-armed Strallan is twice her age.
The episode begins with Downton prepping for the wedding festivities, even while suffering under the pall of bankruptcy. Everyone is cautiously happy for Edith's big day, which elicits such comments as, "At my age, one must ration one's excitement," from Dowager Countess Crawley (Maggie Smith).
Even Mary (Michelle Dockery), who had her own wedding to Matthew (Dan Stevens) earlier this season, puts aside her differences with her sister for the occasion. "I know we always haven't gotten along and I doubt things change in the future," she tells Edith before she walks down the aisle. "But today I wish you all the luck in the world," she said, kissing her.
Even Lord Grantham (Hugh Bonneville), who initially disapproved of Strallan, formerly warning him, "Don't you dare marry my daughter," changes his tune, saying that his previous threat was "nothing personal."
But at the end of the day, it is Strallan himself who stands in the way of the couple's happiness. "I can't do this," he tells Edith in front of the whole village who has gathered to see them make their lifelong commitment. "I can't do it. You know it's wrong."
Edith is prepared to argue with him, trying to assure him that he is what she really wants, when the dowager steps in to help her avoid the scene. "He's doing the most sensible thing he's done in months," she tells her granddaughter. "Let him go."
Anthony's comforting words to his wife-to-be-no-longer: "I pray that you are going to be happy. As long as you don't waste your life on me."
On a lighter note in the episode, Lord Grantham, making jokes about the family's predicament, suggests that the downgrade from Downton Abbey after they are forced to sell it should be called "Downton Place." Well, at least all that honeymoon money Edith was planning to spend in Venice, Paris and Rome won't go to waste.
Downton Abbey's season three continues next Sunday on PBS at 9 p.m. EST.
SPOILERS: 'Downton Abbey' Returns To British TV, Shirley MacLaine Debuts
SPOILERS: Two New 'Downton Abbey' Trailers Debut
SPOILERS: Characters Will Celebrate A Big Day On 'Downton Abbey'
SPOILERS: 'Downton Abbey' To Explored The British / American Dynamic
SPOILERS: 'Downton Abbey' Producer Dishes About Season 3
Shirley MacLaine To Join Cast Of 'Downton Abbey'
Anthony Strallan Dan Stevens Dowager Countess Crawley Downton Abbey Edith Hugh Bonneville Laura Carmichael Lord Grantham Maggie Smith Michelle Dockery Robert Bathurst
More Information Revealed About 'Downton Abbey: A New Era'
'Beauty And The Beast' Prequel Series On Disney+ In The Works
'Downton Abbey 2,' A Movie Sequel, Will Be Released On Christmas


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It (2017): Film Review
In a world of cheap horror movies with lackluster plots and terrible acting, there are only a few good horror movies per year. Ones that combine loads of good scares, laughs, and a great plot. One of Stephen King's scariest and most famous novels, just got the movie treatment (besides the film that came out in 1990), and thankfully, it has all aspects of a good horror movie.  The film is pretty scary (it is about a killer clown), but surprisingly, there was a lot of humor mixed up throughout the film. The film tells the story of the "Losers Club", a group of seven unpopular kids, as they take on the battle of their lives: an evil shapeshifter who takes the form of what you fear most, and uses it to kill you. The plot sounds iffy, but the result is an impressive movie. The film feels more like a Stranger Things episode than a clown movie, and that's one of the reasons it works so well. The actors water down the scariness with constant humor, and jokes are cracked all the time through the movie. The film is scary enough, walking the fine line between being too scary and too little scary. Overall, It shows that in a world of low-budget, lackluster plot horror movies, there are still a few hidden gems.

redpajama_set_name: RedPajamaCommonCrawl


The Gaines/Oldham Black Culture Center is a 12,000 square foot facility located on the University of Missouri campus. Space within the facility can be reserved by University departments, student organizations, and the Columbia community. To make a reservation, please visit our reservations page.
Large Multipurpose Room (Room 116) – Seating of 78 banquet style, 141 theater style or 84 classroom style. Partitions are available for breakout sessions and/or small group discussions.
Small Multipurpose Room (Room 102) – Seating capacity of 24 conference style, 42 seminar style or 49 theater style.
Alumni Conference Room (Room 117) – Small conference room with a seating capacity of 8.
Kitchen – A full kitchen is provided for programs that will serve food and/or beverages. There is a deposit for all such programs and you must bring your own supplies. A $25 fee is required for all events using the kitchen or serving food. All food items must be removed or discarded and the kitchen must be cleaned.


Central Valley Vintage Base Ball (CVVBB) is part recreation and part re-creation, preserving, promoting and celebrating the history of California's Central Valley and the game of baseball by playing America's pastime with its 19th Century rules, equipment, uniforms and customs.
CVVBB is an award-winning program that provides an opportunity for people to enjoy America's pastime as it was played in its formative years. The association aims to showcase the history, culture and community of the Sacramento region and beyond by pulling history out of the classroom and creating something that is both informative and entertaining.
The spring schedule is in! ALL FOUR CLUBS with CVVBB will participate at each event in back-to-back games. The first game will start promptly at 10:00 am (players must arrive no later than 9:15). The second game will start 15 minutes after the first game has concluded.
Vintage Base Ball is a program that showcases a small piece of history in a unique way. It allows people of all skill levels, ages, genders, races and ethnicities to participate in America's pastime, with a emphasis on teaching the rich history of the early game in the Central Valley, good sportsmanship and appropriate behavior. Vintage base ball champions the principles of fairness, honesty, courtesy, respect, honor and virtue by setting a good example for the community and educating the public about the culture and customs of the region in the mid-19th Century.
The pitching is underhanded, and generally slower than your typical college-level softball hurlers, though "swift pitching" is sometimes exercised.
We do not wear gloves in this game, but we allow one bound of the ball for the fielder to retrieve the ball if needed. If the ball is caught in the air or on one bound, or bounce, the striker is called "dead" (out, by modern vernacular).
Any ball that hits the ground fair is a fair ball, regardless of where it rolls after it touches the ground initially. So you could hit the ball straight down and watch it roll backwards past the catcher and run towards first base.
These three rules, along with the many others found here, level the playing field, allowing novices to any stick-and-ball game compete with seasoned veterans of modern baseball. This means that anyone and everyone can and should play!
Players, as well as umpires, scorekeepers, sponsors, and official historians are needed. If you're interested in participating in any of those roles, please fill out our contact form or contact Director Matt "Brandywine" Stone directly at CentralValleyVintageBaseBall@gmail.com and we'll get back to you as soon as possible.
Baseball in California's Central Valley has a rich history that can be traced back to the founding of the sport itself. One of the founding members of the New York Knickerbocker Base Ball Club, Alexander Cartwright, moved west around 1849 to mine for gold and in doing so, brought the game to the Sacramento region, teaching the rules to everyone he met. The first recorded professional game was played in 1860, and by the 1880s, local clubs had sprung up in towns like Davis, Woodland, Dixon, and Marysville. CVVBB aims to celebrate this history by re-creating these clubs as part of a new association. You can read more about this history here.
A full list of past and upoming events can be found here.
Stay up-to-date with everything that's happening with CVVBB.


An Order Receipt will be shown on screen. This will include your License Key details and a download link.
Additionally, an Order Confirmation email will be dispatched to the email address provided when placing the order.
You can review your Order History at any time.


Watch Naagin 3 online. Watch video Naagin 3 26th January 2019 Full Episode 69 Colors TV Serial full video hd episode. Indian Channel Voot Shows Naagin 3 Watch online Complete episode in hd. Watch Naagin 3 26 January 2019 episode online. Naagin 3 26th jan 2019 .


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The intellectual origins of the modern-day community land trust begin in the United States with a home-grown, self-educated political economist named Henry George.
During the period before the Second World War, two influential experiments in community landholding were established in the United States. Arthur E. Morgan was the godfather of both.
Ralph Borsodi went further than George, saying that land should never be individually owned. Indeed, he insisted that land should not even be called "property."
Koinonia Farm was founded as an intentional, interracial community where wealth would be shared in a common purse and where blacks and whites could live, work, and worship together in a spirit of equality.
Unconventional ideas and intentional communities native to the United States did as much to seed and to shape the modern CLT as ideas imported from abroad. Even before there was a United States, Native Americans believed that land was a resource that was given by God to all, not "property" to bought and sold. This was a view shared by many of the new republic's greatest thinkers and leaders.
The American thinker who took this concept the furthest, believing that land should be treated differently than the buildings upon it was Henry George. His writings inspired the formation of a number of single-tax colonies during the opening decades of the 20th Century. The land in these communities was owned by a nonprofit corporation. The buildings were individually owned by families, businesses, or cooperatives.
A new crop of intentional communities, established on community-owned lands that were leased to the individual owners of any buildings on these lands, sprang up in the 1930s and 1940s. They were started or inspired by Ralph Borsodi, Mildred Loomis, and Arthur Morgan. It was Borsodi who first described these leased-land experiments as "land trusts." He believed that land should never be individually owned and was quite vehement in insisting that land not even be called "property." He preferred a term that he had coined himself: "trustery."
Another intentional community was to have a major influence on CLT development. This was Koinonia Farm, a Christian community in southwest Georgia founded in 1942 by the Reverend Clarence Jordan. Among the many supporters who visited Koinonia in the 1950s and 1960s, as it faced of an economic boycott and violent harassment by racist neighbors, were men and women who later helped to create the first rural and urban CLTs. Kononia may have been the place where many of them initially met and hatched their plans, with Jordan in the middle of their conversation.
This chapter of Roots & Branches is a collection of historical materials about people, places, and ideas inside the United States that directly or indirectly influenced the later theory and practice of CLT practitioners.


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News in brief, Oct. 22
Middle School Band Day in Miller Concert Hall today
The annual Middle School Band Day, hosted by the Wichita State School of Music and Senseney Music, Inc., is taking place until 4 p.m. today.
Band Day takes place in Miller Concert Hall inside Duerksen Fine Arts Center. This day of music allows middle school students an opportunity to play music alongside members of WSU bands.
Tickets for Band Day are free.
For more information, contact Victor Markovich, director of bands, [email protected]
Brown Bag gallery tour at Ulrich Museum
Wichita State students have a chance to tour the fall exhibition, "Bruce Conner: Somebody Else's Prints," at the Ulrich Museum of Art today.
Students are asked to bring their lunch to eat on the sculpture terrace of Ulrich. After, they will join curator Jodi Throckmorton for a gallery tour of the exhibition.
The exhibition features nearly 100 works on paper spanning about 60 years.
The tour is free for WSU students and Ulrich Museum members. Tickets for the general public are $10.
For more information, call 978-3664 or email [email protected]
Annual WSU baseball world series kicks off Friday
The annual Wichita State baseball Fall World Series begins at 2 p.m. Friday at Eck Stadium.
The series divides the roster into two teams, the black and gold.
Students can pick up free tickets with a WSU ID at the University Bookstore, Heskett Center, or the ticket office in Charles Koch Arena.
Tickets are $12 for field box, $10 for concourse box, $8 for chair back, $10 for outfield, $8 for adult grandstand, with a discounted price of $6 for children 2-12 and adults older than 65 and $5 for outfield.
For more information, contact the WSU athletics ticket office at 978-FANS.


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The Little Mix Experience
Cliffs Pavilion, Southend
Sat 10 November at 11am
Join The Little Mix Experience for a jam-packed concert of one of the X Factor's finest exports, presented by Sweeney Entertainments.
Four hugely talented girls pay tribute to one of the UK's finest girl bands, with breathtaking dance moves, replica costumes and some of the finest vocals in the UK. Bursting with personality, this is a high-energy show from beginning to end!
The Little Mix Experience bring you all of Little Mix's greatest hits including DNA, Wings, Salute, Black Magic, Love Me Like You, Secret Love Song and many, many more.
Sweeney Entertainments, co-founded by Julie and Peter Sweeney, has been providing a wide repertoire of top quality touring shows for theatre and corporate events for over fifteen years both in the UK and internationally. 2017 was the company's strongest year to date with more shows touring than ever before and 2018 brings even more new shows and UK tour dates. Julie Said "The Little Mix Experience faithfully recreates Little Mix's greatest hits, emulating the style, sound and dance moves in a concert environment that is suitable for all ages."
Shannan Cairns, performer (as Perrie Edwards), Choreographer and Creative Director for The Little Mix Experience, said "The audience can expect a high energy show for all the family to enjoy. All the hits from Little Mix from the very beginning until now, along with replicate dance routines and costumes. It really is the full "Little Mix" Experience."
They look like Little Mix, they Sound like Little Mix - you're sure to L.O.V.E. The Little Mix Experience!
Sat 10 Nov 11am
Book online: www.thecliffspavilion.co.uk
www.sweeneyentertainments.co.uk www.twitter.com/@sweeney_ents
Q & A WITH SHANNAN CAIRNS
Performer (as Perrie Edwards), Choreographer and Creative Director for The Little Mix Experience
1. How did you end up being part of the show?
"I have danced for many years so I wanted to branch out and become a singer. I have always been a fan of Little Mix so when the opportunity came around to join "The Little Mix Experience" it ticked all the boxes for me – I am able to do lead vocals as well as have the opportunity to choreograph the show."
2. When did you first get involved with the show?
"I first got involved with the show in January 2016 and since then, as a group, we have gone from strength to strength. We have been very lucky to play some incredible venues throughout the UK."
3. Have you ever seen any of the original artists live and if so how do they compare to your concerts?
"Unfortunately we haven't managed to see Little Mix live yet but we watch all their live performances and music videos in detail to make sure our show is as close as possible to the original."
4. Who do you perform as in the show?
"I play Perrie Edwards in the band. I really idolise Perrie as an artist, her vocal ability is incredible."
5. What preparation is involved in getting yourself ready to perform as each act in the show?
"Preparation for our show of course involves lots of make- up and hairspray. We also make sure we do a vocal warm-up and stretch before each show because of how physical our show is. It is very important to look after ourselves."
6. What is your favourite song that you perform?
"My favourite song to perform is "Power" because I thoroughly enjoy the high intensity of the dance routine that goes with the song but also the reaction from the audience when we perform it - you can tell it's a favourite amongst our fans."
7. Tell us a little more about the show members and how you got together.
"Aimee Horner plays Jesy Nelson, Belle Morgan who plays Leigh-Anne Pinnock and Derry Grey who plays Jade Thirlwall. The girls are very good at portraying their individual characters and we work even better as a team. We were brought together through an audition process similar to Little Mix themselves, where we each prepared a Little Mix song of our choice and learned some of the original choreography from their "Salute" video."
8. What can the audience expect from attending one of your shows?
"The audience can expect a high energy show for all the family to enjoy. All the hits from Little Mix from the very beginning until now along with replicate dance routines and costumes. It really is the full "Little Mix" Experience."
9. What do you enjoy most about the performances?
"When I see how happy all the children are and the smiles on their faces. Being able to give so many young kids their very first concert experience is a wonderful feeling."
10. What has been the highlight of your career so far?
"Every theatre we play is very different. Each performance has its own memorable moments so I don't think I
could possibly pick one. I've loved them all. We are very blessed to have the support and fan base that we do
and the reaction we get everywhere we've been is just incredible."


This ground-up garage design by Anthony Portillo, RA, features a first floor garage and second floor entertainment room. A compliment to the existing residence, this design focuses not only on vehicle housing but on providing ample outdoor space with water views. Reverse gables provide adequate second-floor headspace, as well as a flood of natural light, for an enjoyable extension to the family home.
Additionally, Mr. Portillo renovated and designed the sunroom and deck of the existing house.


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\section{Introduction}
It is well known that  time-reversal~(T) and CP violations are equivalent due to the CPT theorem~\cite{CPT}. The indirect and direct evidences of
CP violation (CPV) were found in 1964~\cite{Christenson:1964fg} and 2001~\cite{BaBar:2001ags,Belle:2001zzw}, respectively.
On the other hand, the first direct evidence on T violation (TV) was long-awaited until 2012 via the $B^0 - \overline{B}^0$ oscillation~\cite{BaBar:2012bwc}.
As  baryon-antibaryon oscillations are forbidden, a direct measurement on TV in baryon decays is still lacking. Nevertheless, we can study TV with the triple-vector product asymmetries~(TPAs), which can be viewed as indirect evidences on TV.
The TPAs have been intensively studied in the mesonic weak decays~\cite{ref1,ref4,ref7,ref5,ref6,ref8,Li:2010ra,Geng:BtoVV,Datta:2003mj,Kramer:1993yu,Valencia:1988it,Chiang:1999qn,London:2004ws,LondonBtoVT,Gronau:2011cf,Ali:1998gb,Kagan:2004uw}.
In terms of angular analyses, there are over 40 experimental values related to TPAs in $B\to VV'$ with $V^{(\prime)}= (\rho,\omega,K^*,\phi)$~\cite{LHCb:2012mid,pdg,LHCb:2014xzf,LHCb:2018hsm,LHCb:2019jgw}.
However, there is still no experimental evidence on a TPA in the bottom baryon decays.
 Our goal in this work is to seek  some measurable  large
T violating effects (TVEs) in the bottom baryon decays.

Compared to the spinless  mesons, the antitriplet bottom baryons~(${\bf B}_b$) are polarized, providing a possibility for observing TPAs
even in the two body decays of ${\bf B}_b \to {\bf B}_n (P,V,\gamma)$ with   ${\bf B}_n$, $P(V)$ and $\gamma$ being
the octet baryon, pseudoscalar (vector) meson and photon, respectively.
Recently, the lifetimes of ${\bf B}_b$  have been updated with high precision at LHCb~\cite{XibTau,XibmTau,CMS:2017ygm,pdg}, and CP violating effects have been studied~\cite{XibBr,XibCP,LbPK}.
In particular, a full angular analysis has been carried out in $\Lambda_b \to J/\psi \Lambda$~\cite{ExpPolarized1,ExpPolarized2,ExpPolarized3}.
Clearly, the experimental progresses on ${\bf B}_b$ result in a great
 opportunity for us to explore TV in the two-body decays of ${\bf B}_b$.
On the theoretical side for ${\bf B}_b$ decays, many efforts have been made~\cite{Dery:2020lbc,Franklin:2020bvb,Han:2021gkl,Roy:2019cky,Roy:2020nyx,GeneralGeng:2016kjv,GeneralGeng:2021nkl,GeneralHsiao:2017tif,GeneralModifiedBagModel,NaiveFacZhao:2018zcb,NaiveKhodjamirian:2011jp,KornerSM,KornerSM2,Boer:2019zmp,Zhu:2018jet,Lu:2009cm}, but only few of them have discussed TVEs~\cite{ref2,ref3,Lambdab to LambdaV,French0,French1,French2,Gronau:2015gha}.
For the weak transitions  described by the effective Hamiltonian~(${\cal H}_{eff}$)~\cite{Buras:1991jm},
based on the Hermitian nature of ${\cal H}_{eff}$ and  T-symmetry, we  have the complex phase approach with
\begin{equation}\label{complexphase}
H_\lambda =  \langle \lambda ; \text{``out''}  |{\cal H}_{eff} | {\bf B}_b \rangle = \langle {\bf B}_b | {\cal H}_{eff} | \lambda; \text{``in''} \rangle  \,,
\end{equation}
where  $\lambda$ are the helicities of the final states. By ignoring  the final state interactions~(FSIs),
``in'' and ``out'' are interchangable, such that Eq.~\eqref{complexphase} demands  $H_\lambda$ to be real
due to the anti-liner property of the T-transformation. This approach  is a common method in exploring  TV,
which has been shown closely related to the TPAs involving momentum and spin~\cite{ref2,ref3,French0,Lambdab to LambdaV,Gronau:2015gha,French1,French2}.
However, there are some defects in the complex phase approach. The relation between phases and TV is not intuitively understandable. In addition,
the analyses of the TPAs carried out in the  literature suffer a theoretical inconsistency~\cite{Lambdab to LambdaV}.

In this study, we use a different approach
to define an asymmetry parameter with a T-odd scalar operator $\hat{T}$ in the ${\bf B}_b$ decays,  given by
\begin{equation}
\Delta_{\hat{T}} \equiv \frac{\Gamma(\lambda_t
>0) - \Gamma(\lambda_t
<0) }{\Gamma(\lambda_t
>0) +\Gamma(\lambda_t
<0) }\,,
\end{equation}
where $\lambda_t$ are the eigenvalues of $\hat{T}$.
If ${\cal H}_{eff}$ respects T-symmetry, $\pm \lambda_t $  are related by
\begin{equation}\label{T-transform}
|\langle \lambda_t ; \text{``out''} | {\cal H}_{eff} | {\bf B}_b\rangle|^2 - |\langle {\bf B}_b | {\cal H}_{eff} | -\lambda_t ; \text{``in''}\rangle|^2=0\,.
\end{equation}

 Note that  if ``in'' and ``out''  are interchangable, the left-handed side of Eq.~\eqref{T-transform} is proportional to the numerator in $\Delta_{\hat{T}} $,
 leading to that a nonzero value of $\Delta_{\hat{T}}$ would be a signal of TV. Nonetheless,
 under FSIs, we have
 \begin{equation}
\langle \mp \lambda_t ; \text{``out''}  | \pm \lambda_t ; \text{``in''}\rangle \neq 0\,,
 \end{equation}
 describing the rescattering effects between $\pm \lambda_t$.
 In this case,  $\Delta_{\hat{T}} $ is referred to as a naive T-odd observable.
 To subtract the effects of FSIs, we utilize the CPT symmetry and thereby define a true T violating observable, which is also a CP violating one, as~\cite{Gronau:2011cf,Gronau:2015gha}
 \begin{equation}\label{True}
{\cal T} \equiv (\Delta _{\hat{T}}  - (\pm ) \overline{\Delta}_{\hat{T}} )/2 \,,
\end{equation}
where the overline denotes the charge conjugate and the sign corresponds to the parity of ${\hat T}$.
The most simple cases for $\hat{T}$ are the triple  products of the  spins~($\vec{s}$) and 3-momenta~($\vec{p}$) of the particles in the decays.
Since there is only one independent 3-momentum in the two-body decays of ${\bf B}_b \to {\bf B}_n (P,V,\gamma)$,
$\hat{T}$ contains at least two spins,  called as the spin correlations.
Consequently, to observe a TVE, a decay must involve at least two different helicities.
In this work, we explore  TV by concentrating on the T violating observables in ${\bf B}_b \to {\bf B}_n M$.

This paper is organized as follows. In Sec.~\MakeUppercase{\romannumeral 2}, we discuss TV in the two-body decays
of ${\bf B}_b \to {\bf B}_n (P,V,\gamma)$.
We also provide the numerical results in the standard model for ${\bf B}_b\to {\bf B}_n P$.
In Sec.~\MakeUppercase{\romannumeral 3}, we study the angular distributions of the ${\bf B}_b$ decays. We give our conclusions
in Sec.~\MakeUppercase{\romannumeral 4}.

\section{T-odd observables}
For the ${\bf B}_b$ decays,
 the effective Hamiltonian  is given by~\cite{Buras:1991jm}
\begin{eqnarray}
&&{\cal H}_{eff} = \frac{G_F}{\sqrt{2}}
\sum_{f=d,s}\left[
V_{ub}V_{uf}^* \left(
C_1O^f_1 + C_2 O^f_2
\right) - V_{tb}V_{tq}^* \sum_{i=3}^{10}C_i O^f_i
\right]\,,
\end{eqnarray}
with
\begin{eqnarray}
&&O_1^f =  (\overline{u}_\alpha \gamma^\mu L  b_\alpha) (\overline{f}_\beta \gamma_\mu L u_\beta) \,,\,\,\,\,~~~~~~~~~~O_2^f =(\overline{u}_\alpha \gamma^\mu L b_\beta) (\overline{f}_\beta \gamma_\mu L u_\alpha)\,,\nonumber\\
&&O_3^f = (\overline{f}_\alpha \gamma^\mu L b_\alpha) \sum_{q} (\overline{q}_\beta  \gamma_\mu L q_\beta)\,,\,\,\,\,~~~~~O_4^f = (\overline{f}_\alpha \gamma^\mu L b_\beta) \sum_{q}(\overline{q}_\beta \gamma_\mu L q_\alpha)\,,\nonumber\\
&&O_5^f = (\overline{f}_\alpha \gamma^\mu L b_\alpha) \sum_{q}(\overline{q}_\beta \gamma_\mu R q_\beta)\,,\,\,\,\,~~~~~O_6^f = (\overline{f}_\alpha \gamma^\mu L  b_\beta) \sum_{q}(\overline{q}_\beta \gamma_\mu R q_\alpha)\,,\nonumber\\
&&O_7^f = \frac{3}{2}(\overline{f}_\alpha \gamma^\mu L b_\alpha) \sum_{q}e_{q}(\overline{q}_\beta \gamma_\mu R q_\beta)\,,\,\,\,\,O_8^f =\frac{3}{2} (\overline{f}_\alpha  \gamma^\mu L  b_\beta) \sum_{q}e_{q}(\overline{q}_\beta \gamma_\mu R q_\alpha)\,,\nonumber\\
&&O_9^f = \frac{3}{2}(\overline{f}_\alpha  \gamma^\mu L b_\alpha) \sum_{q}e_{q} (\overline{q}_\beta \gamma_\mu L  q_\beta)\,,\,\,\,\,O_{10}^f =\frac{3}{2} (\overline{f}_\alpha \gamma^\mu L  b_\beta) \sum_{q}e_{q}(\overline{q}_\beta \gamma_\mu L  q_\alpha)\,,\nonumber\\
&&O^f_{7\gamma} = \frac{e}{8 \pi^{2}} m_{\mathrm{b}} \bar{f}_{\alpha} \sigma^{\mu \nu}  R b_{\alpha } F_{\mu \nu}\,,\,\,\,\,O_{8 G}=\frac{g}{8 \pi^{2}} m_{\mathrm{b}} \bar{f}_{\alpha} \sigma^{\mu \nu} T_{\alpha \beta}^{a}  R b_{\beta} G_{\mu \nu}^{a}\,,
\end{eqnarray}
where $O_{1,2}$, $O_{3,4,5,6}$, $O_{7,8,9,10}$ and $O_{7\gamma,8G}$ correspond to  tree, penguin, electroweak-penguin and magnetic-penguin operators, respectively, $G_F$ is the Fermi constant, $V$ represents the CKM quark mixing matrix,
$\alpha$ and $\beta$ denote the color, $q=(u,d,s)$, and $L ~(R)$ stands for the chiral structure of $1\mp \gamma_5 $.

  In the radiative decays of ${\bf B}_b \to {\bf B}_n \gamma$, the relevant operator is $O^f_{7\gamma}$, in which $f$ is essentially left handed.
As the decays are predominated by a single helicity state of $\lambda_n=-1/2$,  the T-violating effects are expected to be suppressed.
In the factorization approach for ${\bf B}_b \to {\bf B}_n (P,V)$, $O_{1,2,3,4, 9,10}$  can only produce left-handed ${\bf B}_n$
since they involve only left-handed currents.
On the other hand,
for $O_{5,6,7,8}$, based on the Fierz transformation,
one has that
 \begin{equation}
 (\overline{f} \gamma^\mu L b) \sum_{q}(\overline{q} \gamma_\mu R q) =  -2 (\overline{q} L b ) (\overline{f} R q) \,,
 \end{equation}
 in which the chiral structure of $(\overline{q} L b)$  leads to  a right-handed ${\bf B}_n$, given by
\begin{equation}
\langle {\bf B}_n | \overline{q}L b |{\bf B}_b\rangle = \overline{u}_n (f_s - g_a\gamma_5) u_b\,,
\end{equation}
where $u_{b(n)}$ represents the Dirac spinor for ${\bf B}_{b(n)}$, and   $f_s(g_a)$ corresponds to the (pseudo)scalar form factor
with $f_s = g_a$ in the heavy quark limit.
Here,  the color index has not been explicitly shown.
Clearly, the amplitudes between  $\lambda_n =-1/2$ and $\lambda_n =1/2$ from
	$O_{1,2,3,4,9,10}$ and $O_{5,6,7,8}$, respectively, can potentially have  interferences.
Furthermore, in ${\bf B}_b \to {\bf B}_n V$, the vector meson matrix elements of  (pseudo)scalar operators vanish, read as
\begin{equation}
\langle V | \overline{f} R q | 0 \rangle = 0\,,
\end{equation}
resulting in that  the TVEs  are suppressed because the decays are dominated by a single helicity state~\cite{Lambdab to LambdaV}.
In contrast, in ${\bf B}_b \to {\bf B}_n P$, the pseudoscalar meson matrix elements are enhanced by the smallness of the light quark masses, given by
\begin{equation}\label{enhancement}
 i \langle P | \overline{f} R q  | 0 \rangle = \frac{m_P^2}{m_f + m_q } f_P\,,
\end{equation}
with $m$ standing for the mass and $f_P$ the meson decay constants.
Since the denominators of the right side of Eq.~(\ref{enhancement})
are made of the light quark masses, $O_{5,6}$
 cause a  significant contribution to $\lambda_n = 1/2$, providing a  interference with $\lambda_n = -1/2$ from $O_{1,2}$.
We conclude that the decays of  ${\bf B}_b\to {\bf B}_n P$  are the most promising modes to  observe TVEs.

\begin{figure}
		\captionsetup{justification=raggedright,
		singlelinecheck=false
	}
	\includegraphics[width=.3\linewidth]{Tree.eps}
	~~~~~~~~~~
	\includegraphics[width=.3\linewidth]{Penguin.eps}
	\caption{
Topological diagrams for the color enhanced processes in ${\bf B}_b\to {\bf B}_n P$, where the left and right figures are associated with
 the CKM coefficients of $V_{ub}V_{us}^*$ and $V_{tb}V_{ts}^*$, respectively.

\end{figure}

In  ${\bf B}_b\to {\bf B}_n P$, as $P$ are spinless,  the spin correlations only happen between ${\bf B}_b$ and ${\bf B}_n$. The most simple T-odd observables
are  then described by
\begin{equation}\label{T3}
\hat{T} \equiv  (\hat{p} \times \vec{s} ) \cdot \vec{J}\,,
\end{equation}
where $\hat{ p}~(\vec{ s})$ are the 3-momenta~(spins) of ${\bf B}_n$, and $\vec{ J}$ are the angular momenta in  the final states. Since $\vec{ J}$ are always conserved, one can identify them as the spins of ${\bf B}_b$.
The  eigenstates of $\hat{T}$  are related to the helicity ones as~\cite{Lambdab to LambdaV}
\begin{equation}
|\lambda_{t}= \pm \frac{1}{2}\rangle = \frac{1}{\sqrt{2}}\left(
|H_+\rangle \pm i | H_-\rangle
\right)\,,
\end{equation}
with $J = 1/2$ in both sides.
The naive T-odd observable is then given by the asymmetry between $\lambda_t= \pm 1/2$, read as~\cite{HXG}
\begin{equation}\label{beta}
\beta \equiv \frac{\Gamma(\lambda_t
	=\frac{1}{2}) - \Gamma(\lambda_t
	=-\frac{1}{2}) }{\Gamma(\lambda_t
	=\frac{1}{2}) +\Gamma(\lambda_t
	=-\frac{1}{2}) } =  \frac{2\Im(H_+H_-^*)}{|H_+|^2+|H_-|^2}=\frac{2\Im({\cal P}{\cal S}^*)}{|{\cal S}|^2+|{\cal P}|^2}\,,\end{equation}
where ${\cal S}$ and ${\cal P}$ are the amplitudes with negative and positive parities, respectively, and $H_\pm$ stand for the amplitudes with $\lambda_n= \pm 1/2$.
Thereby, from Eq.~\eqref{True}, we can define the true and fake T-odd observables as~\cite{Gronau:2015gha}
\begin{equation}\label{TrueT3}
\beta_w = (\beta + \overline{\beta})/2\,,\,\,\,\,\,\,\,\beta_s = (\beta - \overline{\beta})/2\,,
\end{equation}
 related by the CP-odd and even phases, respectively.
 We emphasize that
 a nonzero value of $\beta_w$ implies not only TV but also CPV.
  To have a complete study
in ${\bf B}_b\to {\bf B}_n P$,
 we also  define the direct CP and up-down asymmetries by~\cite{HXG}
\begin{eqnarray}
A_{\text{CP}} & \equiv &\frac{\Gamma -\overline{\Gamma}}{\Gamma+ \overline{\Gamma}}\,,
\\
\alpha_b &\equiv& \frac{\Gamma(\lambda_{n}=\frac{1}{2})-\Gamma(\lambda_{n}=-\frac{1}{2})}{\Gamma(\lambda_{n}=\frac{1}{2})+\Gamma(\lambda_{n}=-\frac{1}{2})}= \frac{2\Re({\cal P}{\cal S}^*)}{|{\cal S}|^2 + |{\cal P}|^2}\,,
\end{eqnarray}
respectively.
The linear combinations of $\alpha_b$ and $\overline{\alpha}_b$ with the overline denoting the charge conjugate are given by
\begin{eqnarray}
\alpha_{\text{av}} \equiv (\alpha_b - \overline{\alpha}_b)/2 \,,\,\,\,\,\,\,\,\,\,\,\,\Delta \alpha = \frac{\alpha_b + \overline{\alpha}_b}{\alpha_b - \overline{\alpha}_b}\,,
\end{eqnarray}
in which $\Delta \alpha$ is a CP-odd quantity.

It is well known that to have nonzero values of $A_{\text{CP}}$  and $\Delta \alpha$, nonvanishing  strong phases are both required.
Explicitly, one has that
\begin{equation}
A_{\text{CP}} , \Delta \alpha \sim \sin \phi_s \sin \phi _w \,,
\end{equation}
where $\phi_s$ and $\phi_w$ correspond to  the CP-even and CP-odd phases between ${\cal S}$ and ${\cal P}$, respectively.
On the other hand, one can show that
\begin{equation}
\beta_w \propto \cos \phi_s \sin \phi_w \,,\,\,\,\,\,\,\beta_s \propto \cos \phi_w \sin \phi_s\,.
\end{equation}
Clearly, a nonzero strong phase is not necessary in   $\beta_w$. In fact, when $\phi_s\to 0$, $\beta_w$ becomes maximal, whereas
$(A_{\text{CP}},\Delta \alpha)\to 0$.
Since the strong phases are much less understood compared to  the weak ones, $\beta_w$ could be  a more promising T and CP violating observable compared to the others.

In ${\bf B}_b \to {\bf B}_n P$,  TV depends   on the relative CP-odd phase between $V_{ub}V_{uf}^*$ and $V_{tb}V_{tf}^*$ in the different helicity amplitudes~(see Eq.~\eqref{beta} and FIG.~1), related to  the interferences between $O_{1,2}^f$ and $O_{5,6}^f$. Since $C_{1,6}$  are much larger compared to $C_{2,5}$, respectively, one expects that  large T-asymmetries can be induced  in the color-enhanced decays.

In practice,
	the decays are often dominated by one of the helicities.
	For $|H_\pm|^2/|H_\mp|^2\gg 0 $,
	we have the approximations, given by
	\begin{equation}\label{limit}
	\beta \approx 2 \Im\left(\frac{H_+H_-^*}{H_\pm H_\pm^*}\right) = \mp 2 \Im\left(
	\frac{H_\mp}{H_\pm}
	\right)\,.
	\end{equation}
As we will see subsequently,	in ${\bf B}_b \to {\bf B}_n P$, the transitions associated with
$b\to s$ and $b\to d $  are predominated by  $H_+$ and $H_-$, respectively. Using the estimations of
$H_-\propto c_1V_{ub}V_{uf}^*$ and $H_+ \propto -c_6 V_{tb}V_{tf}^*$, we have
	\begin{equation}\label{newadd1}
	\beta_w \approx 2\Im \left(
	\frac{V_{ub}V_{us}^*c_1}{V_{tb}V_{ts}^* c_6}
	\right) = \frac{2 c_1}{c_6}  \lambda^2 \eta \approx -0.7 \,,
	\end{equation}
	and
	\begin{equation}\label{newadd2}
\beta_w \approx -2\Im \left(
\frac{V_{tb}V_{td}^*c_6}{V_{ub}V_{ud}^* c_1}
\right)\approx -\frac{2c_6}{c_1} \frac{\eta }{\rho^2 + \eta^2}\approx 0.2\,,
\end{equation}
for $b\to s $ and $b\to d$ transitions, respectively.
Here, we have used $c_6/c_1=0.04$~\cite{Buras:1991jm} and the Wolfenstein parametrization for the CKM matrix, given by~\cite{Wolfenstein:1983yz}
\begin{equation}
\left[\begin{array}{lll}
V_{u d} & V_{u s} & V_{u b} \\
V_{c d} & V_{c s} & V_{c b} \\
V_{t d} & V_{t s} & V_{t b}
\end{array}\right] =
\left[\begin{array}{ccc}
1-\lambda^{2} / 2 & \lambda & A \lambda^{3}(\rho-i \eta) \\
-\lambda & 1-\lambda^{2} / 2 & A \lambda^{2} \\
A \lambda^{3}(1-\rho-i \eta) & -A \lambda^{2} & 1
\end{array}\right] + O(\lambda^4) \,.
\end{equation}
It is interesting to point out that although $|V_{ub}V_{us}^*/V_{tb}V^*_{ts}|$  and  $|V_{ub}V_{ud}^*/V_{tb}V^*_{td}|$ are very different, $|\beta_w|$ are in the same size for $b\to s$ and $b\to d$ transitions. It is due to that they are applied at the different limits of Eq.~\eqref{limit}, allowing them to be both sizable.

It is known that the factorization approach works well in the color-enhanced channels~\cite{EffectiveWilson}.
To get the more precise results, we adopt the generalized factorization approach, in which the renormalization dependency in the naive factorization has been absorbed into the effective Wilson coefficients to the next to leading log precision~\cite{EffectiveWilson}. Accordingly, the color-enhanced amplitudes are  given as~\cite{GeneralModifiedBagModel,GeneralGeng:2021nkl,GeneralGeng:2016kjv,GeneralHsiao:2017tif}
\begin{equation}
\langle {\bf B}_n P | {\cal H}_{eff} | {\bf B}_b\rangle = i
 \overline{u}_n (A +B\gamma_5) u_b\,,
\end{equation}
with
\begin{eqnarray}\label{calcula}
&&A= \frac{G_F}{\sqrt{2}} f_P\left\{ m_b V_{ub} V_{uf}^*a_1 -  V_{tb} V_{tf}^*\left[m_b (a_4 + a_{10} )   +  \frac{2m_P^2 }{m_u+m_f} (a_6+a_8) \right] \right\}f_s\,,\nonumber\\
&&B = \frac{G_F}{\sqrt{2}} f_P \left\{ m_b V_{ub} V_{uf}^*a_1 -  V_{tb} V_{tf}^*\left[m_b (a_4 + a_{10} )   - \frac{2m_P^2 }{m_u+m_f} (a_6+a_8) \right] \right\}g_a\,,
\end{eqnarray}
where  $a_i$ are the effective Wilson coefficients~\cite{GeneralGeng:2021nkl,GeneralGeng:2016kjv,GeneralHsiao:2017tif}.
The helicity amplitudes with definite angular momenta are then given as~\cite{Korner:1992wi}
\begin{equation}
H_\pm = \sqrt{Q_+} A \mp \sqrt{Q_-} B\,,
\end{equation}
with $Q_\pm = \sqrt{(m_{{\bf B}_b} \pm m_{{\bf B}_n})^2 - m_P^2}$, and the decay widths are  given by
\begin{equation}
\Gamma = \frac{|\vec{p}_c|}{16\pi m_{{\bf B}_b^2} }\left(
	|H_+|^2 +| H_-|^2
	\right)\,,
\end{equation}
where $\vec{p}_c$ are the 3-momenta of ${\bf B}_n$ in the central mass frames.
At the heavy quark limit, we have that $Q_+ = Q_-$. It is straight forward to see that the terms associated with $(a_6+a_8)$ contribute to $H_+$,
 while the others $H_-$ only.

We evaluate
the form factors of $f_s$ and $g_a$ in Eq.~\eqref{calcula}
 from the modified bag model~\cite{GeneralModifiedBagModel} with the numerical results given in Table~\MakeUppercase{\romannumeral 1}~\cite{footnote1}, where the first and second uncertainties in the branching ratios come from the bag radius of $R = (4.8 \pm 0.2$ GeV)$^{-1}$~\cite{GeneralModifiedBagModel} and   CKM elements~\cite{pdg}, respectively.
\begin{table}\label{table}
\begin{center}
		\captionsetup{justification=raggedright,
		singlelinecheck=false
	}
	\caption{Numerical results in ${\bf B}_b \to {\bf B}_n P$,
	where the first and second  uncertainties in the branching ratios come from the bag radius~\cite{GeneralModifiedBagModel} and  CKM elements~\cite{pdg}, respectively.
	 }
	\begin{tabular}{l c|ccccc }
		\hline
		\multicolumn{2}{c|}{\multirow{2}{*}{channels}} &$10^6{\cal B}$&$\alpha_{\text{av}}$&$\beta_s$&$\phi_s$\\
		&&$A_{\text{CP}}$&$\Delta \alpha $&$\beta_w$&$\phi_w$\\
		\hline
		\hline
	 \multirow{4}{*}{$\Xi_b^0 \to $} & \multirow{2}{*}{$\Sigma^+ K^ -$}&$ 7.52 \pm 1.29 \pm 0.27 $&$ 0.40 \pm 0.01 $&$ -0.04 \pm 0.02 $&$ 0.15 \pm 0.00 $\\
		&&$ 0.06 \pm 0.00 $&$ 0.18 \pm  0.00 $&$ -0.38 \pm 0.01 $&$ 0.76 \pm 0.01 $\\\cline{3-6}
		& \multirow{2}{*}{$\Sigma^+ \pi^ -$}&$ 6.62 \pm 1.09 \pm 0.86 $&$- 0.93 \pm 0.01 $&$ 0.08 \pm 0.04 $&$ 0.08 \pm 0.00 $\\
		&&$ -0.05 \pm 0.00 $&$ -0.01 \pm  0.00 $&$ 0.25 \pm 0.02 $&$ -2.88 \pm 0.02 $\\
		\hline
		\multirow{8}{*}{$\Xi_b^- \to $}&\multirow{2}{*}{$\Lambda^0 K^-$}& $ 1.10 \pm 0.27 \pm 0.04 $&$ 0.41 \pm 0.01 $&$ -0.04 \pm 0.02 $&$ 0.15 \pm 0.00 $\\
		&&$ 0.06 \pm 0.00 $&$ 0.18 \pm  0.00 $&$ -0.39 \pm 0.01 $&$ 0.76 \pm 0.01 $\\\cline{3-6}
		&\multirow{2}{*}{$\Sigma^0 K^-$}		&$ 4.00 \pm 0.68 \pm 0.14 $&$ 0.40 \pm 0.01 $&$- 0.04 \pm 0.02 $&$ 0.15 \pm 0.00 $\\
		&&$ 0.06 \pm 0.00 $&$ 0.18 \pm  0.00 $&$ -0.38 \pm 0.01 $&$ 0.76 \pm 0.01 $\\\cline{3-6}
		&\multirow{2}{*}{$\Lambda^0 \pi^-$} & $ 0.98 \pm 0.24 \pm 0.13 $&$ -0.93 \pm 0.01 $&$ 0.08 \pm 0.04 $&$ 0.08 \pm 0.00 $\\
		&&$ -0.05 \pm 0.00 $&$- 0.01 \pm  0.00 $&$ 0.25 \pm 0.02 $&$ -2.88 \pm 0.02 $\\\cline{3-6}
		&\multirow{2}{*}{$\Sigma^0 \pi^-$}		&$ 3.52 \pm 0.58 \pm 0.46 $&$ -0.93 \pm 0.01 $&$ 0.08 \pm 0.00 $&$ 0.08 \pm 0.00 $\\
		&&$ -0.05 \pm 0.00 $&$ -0.01 \pm  0.00 $&$ 0.25 \pm 0.02 $&$ -2.88 \pm 0.02 $\\
		\hline
		\multirow{4}{*}{$\Lambda_b^0 \to $} & \multirow{2}{*}{$p K^ -$}&$ 5.52 \pm 0.65 \pm 0.19 $&$ 0.37 \pm 0.01 $&$ -0.04 \pm 0.02 $&$ 0.15 \pm 0.00 $\\
		&&$ 0.06 \pm 0.00 $&$ 0.18 \pm  0.00 $&$ -0.35 \pm 0.01 $&$ 0.76 \pm 0.01 $\\\cline{3-6}
		& \multirow{2}{*}{$p \pi^ -$}&$ 4.62 \pm 0.52 \pm 0.60 $&$- 0.91 \pm 0.006 $&$ 0.09 \pm 0.04 $&$ 0.08 \pm 0.00 $\\
		&&$ -0.05 \pm 0.00 $&$ -0.03 \pm  0.00 $&$ 0.25 \pm 0.02 $&$-2.88 \pm 0.02 $\\
		\hline
	\end{tabular}
	\end{center}
\end{table}
 In particular, the T violating asymmetries are found to be
 \begin{eqnarray}
 && \beta_w(\Xi_b^0 \to \Sigma^+ K^ -\,, \Xi_b^- \to \Lambda^0 K^-\,,  \Xi_b^- \to \Sigma^0 K^-\,, \Lambda_b^0 \to p K^ -)
 \nonumber\\\label{result1}
 &=&
 - 0.38 \pm 0.01\,,  - 0.39 \pm 0.01\,,   -0.38 \pm 0.01\,,   -0.35 \pm 0.01\,, \\
  && \beta_w(\Xi_b^0 \to \Sigma^+ \pi^ -\,, \Xi_b^- \to \Lambda^0 \pi^-\,,  \Xi_b^- \to \Sigma^0 \pi^-\,, \Lambda_b^0 \to p \pi^ -)
  \nonumber\\\label{result2}
  &=&
  0.25 \pm 0.02\,,   0.25 \pm 0.02\,,   0.25 \pm 0.01\,,   0.25 \pm 0.02\,,
 \end{eqnarray}

 for $b\to d$ and $b\to s$ transitions in the standard model, respectively.
  As the absolute values of the asymmetries can be as large as $40\%$ and $25\%
   , they can be measured in the experiments at LHCb,
  which provide a great opportunity to directly observe  TV.
The main differences compared to the naive estimations in Eqs.~(\ref{newadd1}) and (\ref{newadd2}) are caused by the corrections from the effective Wilson coefficients, given by $|a_6/c_6| \approx 1.5$~\cite{GeneralModifiedBagModel,GeneralGeng:2021nkl,GeneralGeng:2016kjv,GeneralHsiao:2017tif,EffectiveWilson}.  Note that the results of $\alpha$ and $\beta$ have small uncertainties due to the correlations between $f_s$ and $g_a$, {\it i.e.} their ratios depend little on the model parameters. Nonetheless, it must be emphasized that the uncertainties from  the nonfactorizable effects
are not considered as they  can not be reliably calculated. However, the $\Xi_b^-$ decays are free from the W-exchange diagrams, making the results reliable.

\section{Cascade decay angular distributions}
We now concentrate on  the effects of the T-odd spin correlations.
Although the cascade decays of ${\bf B}_n$ conserve  T-symmetry,
the T-odd spin correlations in ${\bf B}_b \to {\bf B}_n P$ are handed down to the angular distributions of the sequential particles.
For  the  level-2 cascade decays of
$\Xi_b^- \to \Lambda (\to p \pi ^ - )  K^- / \pi ^-$ and $\Xi_b^0 \to \Sigma^+(\to p \pi^0 ) K^- / \pi ^- $,
 the angular distributions are given by
\begin{eqnarray}\label{level2}
&&{\cal D} _2 ( \vec{\Omega}) = \frac{1}{\Gamma}\frac{\partial^3 \Gamma }{\partial \cos \theta \partial \cos\theta_1 \partial \phi }=
\nonumber\\
&&\frac{1}{8\pi} \left[1 +P_b \alpha \cos \theta \cos \theta_1   + \alpha_b (\alpha \cos \theta_1 + P_b \cos \theta)+P_b \alpha(\beta \sin \phi
-\gamma' \cos \phi
)  \sin \theta \sin \theta_1\right],\,
\end{eqnarray}
where $P_b$ describe the $\Xi_b$ polarization fractions,
$\alpha (= \alpha_{\Lambda ,\Sigma^+})$  represent the up-down asymmetry parameters in $\Lambda\to p \pi^-$ and $\Sigma^+ \to p \pi ^0$, and
\begin{equation}
\gamma' \equiv \frac{|{\cal S}|^2 - |{\cal P}|^2}{|{\cal S}|^2 + |{\cal P}|^2}\,.
\end{equation}
Here, $\theta$ and $\phi$ stand for the polar and azimuthal angles in the level-1 decays,
while $\theta_1$ is the polar angle in the level-2 decays~(see FIGs.~2a and 2b, in which we have taken $P=K^-$ as an example).

\begin{figure}

	\begin{subfigure}{.48\textwidth}
		\centering

		\includegraphics[width=1\linewidth]{Lambda.eps}
		\caption{ Cascade decays with $\Xi_b^-\to \Lambda(\to p \pi^-) K^-$.}

	\end{subfigure}
	\begin{subfigure}{.48\textwidth}
		\centering

		\includegraphics[width=1\linewidth]{Sigmap.eps}
		\caption{Cascade decays with $\Xi_b^0\to \Sigma^+(\to p \pi^0) K^-$.}

	\end{subfigure}
	\newline

	\begin{subfigure}{.48\textwidth}
		\centering

		\includegraphics[width=1\linewidth]{Sigma1.eps}
		\caption{Cascade decays with $\Xi_b^-\to \Sigma^0(\to \Lambda \gamma) K^-$.}

	\end{subfigure}
	\begin{subfigure}{.48\textwidth}
		\centering

		\includegraphics[width=1\linewidth]{Sigma2.eps}
		\caption{Cascade decays with $\Sigma^0\to \Lambda(\to p \pi^-) \gamma$. }

	\end{subfigure}
	\centering
	\caption{
		Angles in ${\cal D}(\vec{ \Omega})$ for cascade decays.

\end{figure}

We see that the T-odd spin correlations indeed manifest themselves in ${\cal D}_2(\vec{ \Omega})$ and therefore can be observed in the experiments
at LHCb.
	They are described by the asymmetries of  the dihedral angles between the initial and  cascade decay planes. To probe them, it is sufficient to consider the $\phi$-dependence only.
	Based on the numbers of events,
	we define the naive T-odd observable as
	\begin{equation}\label{simple}
	{\cal T}(N_+,N_-) = \frac{N_+ -  N_-}{N_+ + N_-}\,,
	\end{equation}
	where $N_\pm$ are the numbers of events with $\pi>\phi\ge0$ and $2\pi > \phi\ge\pi$, respectively.
	For sufficient data points, we have
	\begin{equation}
	\lim\limits_{N_\pm\to \infty} {\cal T}(N+,N_-) =\frac{1}{\Gamma} \left(
	\int^\pi _ 0  \frac{\partial \Gamma}{\partial \phi} - 	\int^{2\pi} _\pi  \frac{\partial \Gamma}{\partial \phi}\right)
	=\frac{\pi}{8}P_b \alpha \beta \,.
	\end{equation}
Nonetheless, $\beta$ are always followed by $P_b$, requiring that $\Xi_b$ should be  polarized.
This is a reasonable result since $\beta$ shall be able to  trace back to the spin correlations, and naturally demands that $P_b\neq 0$.

On the other hand,
$\Xi_b^ - \to \Sigma^0( \to \Lambda ( \to p \pi^ - )  \gamma) K^- / \pi ^-$ is  a  level-3 cascade decay with the angular distribution,  given by
\begin{eqnarray}\label{level3}
{\cal D}_3 (\vec{\Omega})  &=& \frac{1}{\Gamma} \frac{\partial^5 \Gamma }{\partial \cos \theta \partial \cos\theta_1 \partial \cos \theta_2  \partial \phi  \partial \phi_1 }
\nonumber\\
&=&\frac{1}{32\pi^2}\left[1 -P_b \alpha_\Lambda \cos\theta \cos \theta_1 \cos \theta_2 +\alpha_b(P_b \cos \theta - \alpha_\Lambda \cos \theta_1 \cos \theta_2) \right.\nonumber\\
&&\left.+ P_b \alpha_\Lambda ( \gamma' \cos \phi - \beta \sin \phi ) \sin \theta \sin \theta_1 \cos \theta_2 \right] \,,
\end{eqnarray}
where the definitions of $\theta,\,\theta_1$ and $\phi$ are same as the previous ones, while
$\phi_1~(\theta_2)$ stands for the  polar~(azimuthal) angle in the level-2~(3) decays, shown in FIGs.~2c and 2d.
Due to the angular momentum conservation,
${\cal D} _3(\vec{ \Omega})$ is independent of $\phi_1$.

Similar to ${\cal D}_2(\vec{ \Omega} ),$ $\beta$ are also followed by $P_b$ in ${\cal D}_3(\vec{\Omega})$, which is a sensible result. Notably, to observe $\beta$, it is necessary to include the  cascade  decays of $\Lambda$. To see this,  by  integrating ${\cal D}_3(\vec{ \Omega})$ over $\phi_1$ and $\cos \theta_2$,
we find that
\begin{equation}
\int^{2\pi}_0 \int^1_{-1}   {\cal D}_3(\vec{\Omega}) d\cos \theta_2 d \phi_1=
\frac{1}{8\pi} \left(
1 + \alpha_b P_b \cos \theta
\right)\,,
\end{equation}
which is identical to ${\cal D}_2(\Omega)$ by setting $\alpha=0$. Due to this reason, as opposed to ${\cal D}_2(\vec{ \Omega})$, it is {\it not} sufficient to merely consider the $\phi$-dependence for observing TVEs, and there is no simple T violating observable as the one defined in Eq.~\eqref{simple}.

Note that  $\alpha_{\Lambda , \Sigma^+}$ can be determined by the experiments in the hyperon decays, given by~\cite{pdg,BESIII:2018cnd}
\begin{equation}
\alpha_\Lambda = 0.731 \pm 0.014\,,\,\,\,\,\,\,\,\alpha_{\Sigma^+} = -0.982\pm 0.014\,.
\end{equation}
However, the values of $P_b$  depend on the production method of the bottom baryons, which are  ${\cal O}(10\%)$
at LHCb~\cite{ExpPolarized3, Hiller:2007ur}.
Theoretically, it has been   suggested that $P_b$ can be as large as 20\%~\cite{French0}.
Their actual values could be measured  from the decays with enough data points~\cite{BESIII:2017kqg,BESIII:2019odb}.
For instances,  we can obtain $P_b$  from the angular distributions of $\Xi_b^{0,+} \to \Xi^{0,+} J/\psi(\to l^+ l^-)$,  similar to  $\Lambda_b\to \Lambda  J/\psi(\to l^+ l^-)$~\cite{ExpPolarized1,ExpPolarized2,ExpPolarized3},
in which $P_b$ is found to be
	$[-0.06, 0.05]$, $[-0.04, 0.05]$ and $[-0.01, 0.07]$ at the central energies of 7, 8 and 13~TeV of proton-proton collisions, respectively, with 68\% credibility level intervals~\cite{ExpPolarized3}.
Finally, we note that the branching ratios of $\Xi_b^{0,+} \to \Xi^{0,+} J/\psi$ are found to be  around  $10^{-4}$ in terms of the $SU(3)$ flavor symmetry with the experimental input of ${\cal B}(\Lambda_b\to \Lambda  J/\psi) = (5.8 \pm 0.8 )\times 10^{-5}$~\cite{pdg}. A large decay branching ratio
can enhance
 the experiments to extract $P_b$ with high precision.

\section{Conclusions}
Aiming on probing TV, we have analyzed  the most simple cases in
the charmless two-body decays of  ${\bf B}_b \to {\bf B}_n M$ with $M= (P,V,\gamma)$,   in which the TVEs are described by the T-odd spin correlations.
We have found that the T violating parameters of
$ \beta_w(\Xi_b^{0,-} \to \Sigma^{+,0} K^ -\,, \Xi_b^{-,0} \to (\Lambda^0,p) K^-)$
and
$ \beta_w(\Xi_b^{0,-} \to \Sigma^{+,0} \pi^ -\,, \Xi_b^{-,0} \to (\Lambda^0,p) \pi^-)$
are around $-40\%$ and $25\%$ with small uncertainties in  the standard model,
which can be measured by the experiments at LHCb, respectively.
We emphasize that in contrast to other CP asymmetries, the signs of $\beta_w$ are insensitive to the strong phases which can not be reliably calculated. Hence, if the experiments obtain opposite signs of $\beta_w$,
it would be a smoking gun for new physics, such as the right-handed current beyond the standard model.

We have studied the angular distributions of the $\Xi_b$ cascade decays and identified the TVEs, in which polarized $\Xi_b$ are needed
in order to observe TV.
We have also shown that
  $P_b$ can be obtained from  the angular distributions of  $\Xi_b \to \Xi J/\psi(\to l^+ l^-)$
   in the experiments at LHCb since their decay branching ratios are
   predicted to be around $10^{-4}$ by virtual of  the $SU(3)$ flavor symmetry.

redpajama_set_name: RedPajamaArXiv


text:
{-# LANGUAGE ConstraintKinds #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TupleSections #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE TypeSynonymInstances #-}

module HERMIT.Shell.Proof
    ( externals
    , UserProofTechnique
    , userProofTechnique
    , withProofExternals
    , performProofShellCommand
    , forceProofs
    , ProofShellCommand(PCEnd)
    , ProofReason(UserProof, UserAssume, Reflexivity)

      -- ** Exposed for hermit-shell:
    , interactiveProof
    ) where

import Control.Arrow hiding (loop, (<+>))
import Control.Concurrent.STM
import Control.Monad
import Control.Monad.Error.Class (MonadError(..))
import Control.Monad.IO.Class
import Control.Monad.Reader (asks)
import Control.Monad.State (MonadState(get), modify, gets)

import Data.Function (on)
import Data.List (nubBy)

import HERMIT.Context
import HERMIT.External
import HERMIT.GHC
import HERMIT.Kernel
import HERMIT.Kure
import HERMIT.Lemma
import HERMIT.Parser
import HERMIT.Syntax

import HERMIT.Dictionary.Reasoning hiding (externals)

import HERMIT.Plugin.Types
import HERMIT.Shell.ShellEffect
import HERMIT.Shell.Types

--------------------------------------------------------------------------------------------------------

-- | Externals that get us into the prover shell.
externals :: [External]
externals = map (.+ Proof)
    [ external "prove-lemma" (\nm -> CLSModify $ interactiveProof nm >> printWindow Nothing)
        [ "Proof a lemma interactively." ]
    ]

-- | Externals that are added to the dictionary only when in interactive proof mode.
proof_externals :: [External]
proof_externals = map (.+ Proof)
    [ external "end-proof" (PCEnd Reflexivity)
        [ "check for alpha-equality, marking the lemma as proven" ]
    , external "end-case" (PCEnd Reflexivity)
        [ "check for alpha-equality, marking the proof case as proven" ]
    , external "assume" (PCEnd UserAssume)
        [ "mark lemma as assumed" ]
    ]

--------------------------------------------------------------------------------------------------------

-- | Top level entry point!
interactiveProof :: LemmaName -> CLT IO ()
interactiveProof nm = do
    ps <- getProofStackEmpty
    let t :: TransformH x (HermitC,Lemma)
        t = contextT &&& getLemmaByNameT nm
    (c,l) <- case ps of
                [] -> queryInFocus (t :: TransformH Core (HermitC,Lemma))
                                   (Always $ "prove-lemma " ++ quoteShow nm)
                todo : _ -> queryInFocus (inProofFocusT todo t) Never
    pushProofStack $ Unproven nm l c mempty

withProofExternals :: (MonadError CLException m, MonadState CommandLineState m) => m a -> m a
withProofExternals comp = do
    (es,sf) <- gets (cl_externals &&& cl_safety)
    let pes = filterSafety sf proof_externals
        -- commands with same same in proof_externals will override those in normal externals
        newEs = pes ++ filter ((`notElem` (map externName pes)) . externName) es
        reset s = s { cl_externals = es }
    modify $ \ s -> s { cl_externals = newEs }
    r <- comp `catchError` (\case CLContinue s -> continue (reset s)
                                  other        -> modify reset >> throwError other)
    modify reset
    return r

forceProofs :: (MonadCatch m, CLMonad m) => m ()
forceProofs = do
    k <- asks pr_kernel
    st <- get
    ls <- liftIO $ atomically $ swapTVar (cl_templemmas st) []
    let snd3 (_,y,_) = y
        nls = nubBy ((==) `on` snd3) ls
    unless (null nls) $ do
        (_,topc) <- queryK k (arr topLevelHermitC) Never (cl_kernel_env st) (cl_cursor st)
        let chooseC c cl = if all (inScope topc) (varSetElems (freeVarsClause cl)) then (True,topc) else (False,c)
            nls' = [ (chooseC c (lemmaC l), nm, l) | (c,nm,l) <- nls ]
            nonTemp = [ (nm,l) | ((True,_),nm,l) <- nls' ]
        unless (null nonTemp) $
            queryInFocus (insertLemmasT nonTemp :: TransformH LCore ())
                         (Always $ "-- recording obligations as lemmas : " ++ unwords (map (show.fst) (reverse nonTemp)))
        forM_ nls' $ \ ((_,c),nm,l) -> do
            cl_putStrLn $ "Forcing obligation: " ++ show nm
            pushProofStack (Unproven nm l c mempty)
        printWindow Nothing

-- | Verify that the lemma has been proven. Throws an exception if it has not.
endProof :: (MonadCatch m, CLMonad m) => ProofReason -> ExprH -> m ()
endProof reason expr = do
    Unproven nm (Lemma q _ _) c _ : _ <- getProofStack
    let msg = "The two sides of " ++ quoteShow nm ++ " are not alpha-equivalent."
        t = case reason of
                UserAssume -> markLemmaProvenT nm Assumed
                Reflexivity -> setFailMsg msg (do tryR (extractR simplifyClauseR) >>> verifyClauseT
                                                  markLemmaProvenT nm Proven)
                UserProof up -> let UserProofTechnique tr = up
                                in extractT tr >> markLemmaProvenT nm Proven
    queryInFocus (constT (applyT t c q) :: TransformH Core ())
                 (Always $ unparseExprH expr ++ " -- proven " ++ quoteShow nm)
    _ <- popProofStack
    cl_putStrLn $ "Successfully proven: " ++ show nm

-- Note [Query]
-- We want to do our proof in the current context of the shell, whatever that is,
-- so we run them using queryInFocus below. This has the benefit that proof commands
-- can generate additional lemmas, and add to the version history.
performProofShellCommand :: (MonadCatch m, CLMonad m)
                         => ProofShellCommand -> ExprH -> m ()
performProofShellCommand cmd expr = go cmd >> printWindow Nothing
    where go (PCEnd why)          = endProof why expr

data ProofShellCommand
    = PCEnd ProofReason

data ProofReason = UserProof UserProofTechnique -- ^ Run the technique, mark Proven if succeeds
                 | UserAssume                   -- ^ Assume
                 | Reflexivity                  -- ^ Check for alpha-equivalence first

-- keep abstract to avoid breaking things if we modify this later
newtype UserProofTechnique = UserProofTechnique (TransformH LCoreTC ())

userProofTechnique :: TransformH LCoreTC () -> UserProofTechnique
userProofTechnique = UserProofTechnique

instance Extern ProofShellCommand where
    type Box ProofShellCommand = ProofShellCommand
    box i = i
    unbox i = i

instance Extern UserProofTechnique where
    type Box UserProofTechnique = UserProofTechnique
    box i = i
    unbox i = i

redpajama_set_name: RedPajamaGithub


Basketball fans attending Loyola Marymount University's game against the University of Portland in March 1990 thought they were in for a spirited semifinal game. But then the unthinkable happened: 23-year-old Hank Gathers, a 6-foot 7-inch superstar, collapsed on the court. Stunned fans later learned that he died of sudden cardiac arrest — a condition that still kills between five and 10 NCAA athletes every year. Now, 26 years later, the NCAA has issued new guidance on how to prevent those kinds of deaths.
It's the result of a multi-year process initiated by the association, which convened a task force of cardiovascular and sports medicine experts, student athletes, and athletic trainers to decide what to do about sudden cardiac deaths in sports back in 2014. The group came up with a consensus statement recently published in the Journal of the American College of Cardiology. The document identifies the purpose of pre-participation evaluations, best practices for those screenings, and guidelines for how officials should plan for and handle emergency cardiac arrest when it's in progress.
Just how bad is the problem? In 2011, researchers from the University of Washington at Seattle used an NCAA database, public media reports, and catastrophic insurance claims to come up with an incidence rate for sudden cardiac death among students who died suddenly during exercise. They found that 75 percent of sudden deaths among student athletes who died during exercise could be traced to cardiovascular causes and that the current methods of collecting data underestimate the risk of sudden cardiac death.
The NCAA itself found that the risk of a male athlete dying from sudden cardiac arrest is one in 38,000 and only one in about 122,000 for female athletes. Basketball, soccer, and football players appear to be at the greatest risk — though only 4 percent of NCAA athletes are basketball players, they represent a full 20 percent of all sudden cardiac deaths.
But though the recommendations give guidelines on how to use electrocardiograms (ECGs) to predict those kinds of risks to student athletes, they stop short of actually recommending them. "We're not mandating or recommending that they be done across the board," says Brian Hainline, staff senior vice president and chief medical officer of the NCAA. In 2015, Hainline, who is the NCAA's first-ever chief medical officer, backtracked on a publicly announced plan to require all student athletes to receive ECGs when team physicians from over 100 universities protested.
"Look, people have been talking about electrocardiogram screening for a long time, but it's been so polarized that you have two camps and the two camps just keep saying the same thing and you're not moving forward in a consensus-driven manner," Hainline says. One camp insists that EKGs are a critical predictive tool that can identify cardiac conditions, like myocarditis, a disease that inflames and can damage the heart muscle and that is associated with sudden cardiac death. The other holds that since so few student athletes have the kinds of cardiac problems that can be detected by EKG and that put them at risk for sudden death, the procedure shouldn't be performed as a requirement for participation — a position held by organizations like the American Heart Association.
To that end, the statement insists that coaching staff, referees and other responders be trained, that emergency plans be in place, and that working automatic external defibrillators (AEDs) be available during practice and play. When Gathers collapsed back in 1990, CPR was initially not administered because he was responsive. However, an AED was unsuccessfully used to save his life, and once Gathers registered no pulse, CPR was unsuccessfully used.


Research Proves "Jews" are non-Israelite Asiatics!
In 1976 Random House published a book that should have hit Modern Christian Churches like a block buster, but instead they chose to totally ignore it. It dealt with the racial origin of the people in Communist and Christian countries throughout the globe, who call themselves "Jews," and whom many Churches (and Jews themselves) generally insist are "God's Chosen People," the descendants of Abraham.
Since the late 1800's several Bible Scholars, who were also students of History and Racial origins, have insisted the Church denominations were wrong; that instead of being descendants of Abraham, Israelites, these Jews from Eastern Europe and Western Asia were descended from Mongolians and other Asiatic peoples who had adopted Judaism as their "religion" about 1,000 years ago and have become known as "Jews."
These Bible scholars were for the most, ignored or condemned, and often called "cultists" or "anti-Semites."
Now, after many years of research, a well-known 'Jewish author', Arthur Koestler has published a 255 page book titled THE THIRTEENTH TRIBE in which he proves the same point of the earlier scholars; i.e. that these Eastern European "Jews" are neither Israelites nor "Semites," but are instead Khazars, Mongols, and people of Hun descent!
We cannot stress enough how absolutely imperative it is for all Christians to consider the startling proof in Arthur Koestler's book that today's Jews are not Israelites, and never have been. The Jewish influence on American life has reached such a stage that no student of contemporary history can ignore it. Not only the news media are Jewish monopolies, but top positions in the U.S. government are largely filled by Eastern European Jews. The magazine and book publishing houses are in Jewish hands; and movies, television, and the other entertainment industries are dominated by Jews in all phases. America's government and most of her people's sources of information are controlled and directed by Jews. If these people were really "God's Chosen People," perhaps Americans would have little cause for concern -- BUT IF THEY ARE REALLY THE "HUNS" THEY ARE THE ANCIENT ENEMIES OF CHRISTENDOM.
THE THIRTEENTH TRIBE by Arthur Koestler, Random House.
15 Khazars adopt Judaism as their religion in A.D. 740.
16 Majority of Eastern European Jews are Khazar and Japhetic in origin, not Semitic. Refers to 1973 Jewish Encyclopedia and A. N. Poliak, Professor, Medieval Jewish History, Tel Aviv University.
17 Jews are more closely related to Hun, Uigur, and Magyrs than to the seed of Abraham Isaac and Jacob.
18 Khazars exacted tribute from subject peoples.
20 Identified them with the hosts of Gog and Magog.
22 German word Ketzer is our word for Khazar and means heretic, i.e., Jew.
23 Khazars were with Attila the Hun in 4th century.
37-39 Some were phallic worshipers, killed anyone thought to be extra intelligent and called it an offering to god.
46 Quotes 1,000-year-old Arab historian, "The Khazars and their King are all Jews...some are of the opinion that Gog and Magog are the Khazars."
47-50 Khazars were re-exporters of foreign goods, middlemen, inspectors of trade, gold smiths, and silver smiths; and they exacted 10% tax on all trade.
59-63 Jews fled Rome and Greece to Khazaria to avoid forced conversion to Christianity. They adopted Islam when forced but repudiated it when safe.
72 Khazar King, in a letter, traced his people in Togarma and Japheth, the ancestors of all the Turkisk tribes.
81 In A.D. 864 a monk wrote "there exists a people under the sky in regions where no Christians can be found, whose name is Gog and Magog, and who are Huns; among them is one called Gazari [Khazari?], who are circumcised and observe a religion called jew-dah-ism." Koestler quoted another source that Christians were prisoners of these Jews.
93 Russian communists tried to hide Khazar-Jewish connection!
95-132 History of breaking up of Khazar Empire and integration of these Jews into Russia, Poland, etc.
135 Khazar kingdom known as a kingdom of "Red" Jews.
141 Khazars joined Ghengis Khan and retained their Jew-dah-ism.
151 Majority of Jews in Middle Ages were Khazars.
152-154 Jews were mint-masters, royal treasurers, tax collectors, and money lenders, money changers. Principal source of income was foreign trade and the levying of customs dues and they practiced communal life.
159-161 They lost the name of Khazars and became known as Jews. During Dark Ages commerce was largely in Jewish hands, including slave trade.
163-167 During Crusades whole families and towns of Jews committed suicide rather than accept Christianity.
167-171 Proves only a handful of Sephardim Jews were in Europe so the vast majority of Jews today are Khazar in origin.
172-174 Gives origin of Yiddish language. It is NOT Hebrew!
180-199 Quotes from many sources to prove Jews are NOT descended from Biblical Israelites, ending with this, ...evidence from anthropology concurs with history in refuting the popular belief in a Jewish race descended from the biblical tribe.
200-222 Refers to others who have written on the same subject.
THE THIRTEENTH TRIBE written by a Jew, supports the claim that modern Jews are not related to Biblical Israelites, and have no ethnic right to Palestine. Every church member in America should insist that his Pastor investigate these claims, and read the book. Are our Jewish politicians, publishers, movie makers, and opinion molders God's "Chosen People"? Or are they Mongol and Hun infiltrators, haters of Christendom. Are they the persecutors, and terrorists of the true residents of the Holy Land, the Palestinian people?
Is The Jewish "Chosen People" cliche and falsehood Masquerade Finally Over?
Shortly after World War I, Henry Ford, founder of the Ford Motor Company, assembled a staff of experts in Detroit to conduct research on the European Jews who had been entering America in large numbers since the 1880's. Ford provided the staff with several million dollars for this research, and in 1923 he published the results in a four-volume work titled "THE INTERNATIONAL JEW."
It was Henry Ford's conclusion that very few of these people, if any, who called themselves "Jews" were descendants of the Bible Israelites. Ford further proved that these Jews, while under the cloak of being the Chosen People of the Bible, were rapidly taking economic and political control of America.
In the religious field, Ford claimed THE JEWS HAD SECRETLY GAINED CONTROL OF MOST PROTESTANT SEMINARIES AND CHRISTIAN BOOK-PUBLISHING HOUSES and had been able to remove almost all criticism of Jews from Christian literature.
In summing up his findings, Henry Ford stated, "The Jews are not the Chosen People, though practically the entire Modern Church has succumbed to the propaganda which declares them to be so."
Ford's book caused a furor for a few years but soon disappeared from colleges, universities, and public libraries and became unobtainable at any price. The Churches continued to teach the falsehood, that "The Jews are God's Chosen People, Israel," and the (by then) Jewish-dominated news media began to refer to Jews as 'Israeli', or as 'Israelis'.
Anyone opposing the increasing Jewish control of the nations was immediately branded "anti-Semitic;" and Jewish dominated Seminaries taught new ministers to quote Genesis 12:1-3 and sternly warn their flocks that anyone speaking unfavorably of the Jews would be "cursed by God." Jewish control of American society, politics, and religions continued to increase.
In closing, "the term "anti-Semitism" should become void of meaning, since, as Mr. Koestler writes, it is based "on a misapprehension shared by both killers and their victims. The story of the Khazar Empire, as it slowly emerges from the past, begins to look like the most cruel hoax which history has ever perpetrated.""
"Fear them not therefore; for there is nothing covered that shall not be revealed: and hid, that shall not be known. What I tell you in darkness, that speak ye in light: and what ye hear in the ear, that preach ye upon the housetops." (Jesus, in Matthew 10:26,27).
Buy the book for yourselves and find yourself putting aside all the fallacies you once believed in.


text:
Jharkhand bans PFI for anti-national, communal activities
12 Feb 2019, 23:18 GMT+10
Ranchi (Jharkhand) [India], Feb 12 (ANI): Jharkhand government on Tuesday banned the Popular Front of India (PFI) in the state for its anti-national, communal and unconstitutional activities.
The PFI has been banned under Section 16 of the Criminal Law Amendment Act, 1908.
The notification, released by the Jharkhand's department of Home, Jail and Disaster Management stated that the PFI indulge
in activities that are dangerous to the security of the state and the country, including disrupting its peace and secular structure.
It further said that according to the evidence presented by Jharkhand police, it seems that PFI is anti-national, unconstitutional, illegal, communal, and indulged fully in spreading social disaffection.
The state government cited four reasons to ban PFI: disrupting law and order and peace, encourage communalism and extremism, indulge in anti-national activities and relations with other terrorist organization.
As per the notification, PFI is active in states of Kerala, Telangana, Karnataka, Assam, West Bengal and Bihar. It also has reported that the PFI has relations with several extremist organisations like the ISIS and
JMB.
The Jharkhand government also provided the list of criminal cases against PFI in the notification.
In 2018, the Bhartiya Janta Party government in Jharkhand imposed on PFI which was later quashed by the court. The court observed that the government did not follow the procedures to ban the organisation. (ANI)


Since 1968, the American College of Surgeons has offered International Guest Scholarships (IGS) to outstanding young surgeons from countries other than the United States and Canada, who have demonstrated strong interests and accomplishments in teaching and research. Applications are now being accepted for the International Guest Scholarships for the year 2020.
Each Scholarship offers a stipend of $10,000 US, participation in the Clinical Congress, and the expectation of visits to several North American clinical and research sites of the Scholar's choice. A mentor will be assigned to assist the Scholar to plan his or her tour.
Please note that scholarship applications and additional documents must be submitted in English.
The Stavros Niarchos Foundation IGS is designated for a Greek or Greek heritage surgeon. The Dr. Murray Brennan IGS is designated for a surgical oncologist, preferably from Australia or New Zealand.
Please direct questions to the International Liaison, via email, at scholarships@facs.org, or fax: 312-202-5021.
The deadline for receipt of all application materials for both the International Guest Scholarships and the Community Surgeon Travel Awards is 1 July 2019 for attendance at the 2020 Clinical Congress.


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as the Lord may enable them to do.
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contained in the confession of faith.
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be appointed by this assembly.
the committee that may be appointed.
the Integrity of the reformed faith.
taught in the hqly scripture.
from the doctors could have done.
her condition is constantly improving.
I for the past few days, had disappeared.
tion, merely a respectful lifting of hats.
and in response • repeatedly lifted his hat.
carry the presidential party to the scene.
Miss Deshler and her sister.
Union Iron Works shortly after 10 o'clock.
menting them on their skill as workmen.
After an inspection of the works, Mr.
The Ohio Weds the Waves.
tied for a year or more until completed.
had arrived at the stand.
Atlas—Well, that takes a load off my shoulders, and how easily he seems to handle it.
foremost, and took her dip into the sea.
a saline Injection directly into the blood.
physicians that she wanted fried chicken.
is yet impossible to determine when Mrs.
for the consideration of affairs of state.
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model of a statesman's wife.
Ship Building and Dry Dock company.
6 inches, displaces 12,230 tons.
of the vessels to the barbett armor.
s>nd chromosphere with two spectrographs.
the corona hr.ye not succeeded.
has appointed Representative John K.
of the estate at $10,000,000.
have been found for breaking jail.
of block 3 to Judge C. M. Pond for $3,500.
and Seventh streets; lots 4, 5, 6 and 7.
eled at the expiration o fthe lease.
ranging from $1,000 to $5,000 In price .
A. C. Sutter to T. F. Feely, $3,400.
sale of a residence at $15,000.
occupancy by the first of September.
It Choose to Do So.
tem will be resumed at noon to-day.
several men received perhaps fatal burns.
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writ directing that the license be granted.
until July 1 in which to report.
Has a Mine in Sight.
Minneapolis, thinks he has an iron mine.
Manley's place looking over the prospects.
which the ore indications are good.
ered by a. Searching Party.
been missing two weeks, has been found.
burne county at public sale here to-day.
noon at an average of about $7 an acre.
house of commons and passed.
come of at least three hundred crowns.
plenary sitting of the storthing.
those guilty of unlawful or riotous acts.
the employers shall continue their work.
ment does not mention them.
--year-old son of James Driver Is missing.
injured seven are in a serious condition.
not yield an iota of their demands.
any amicable settlement of differences.
ate to-morrow morning at St. Paul's.
as strictly as its advocates would like.
—Bromley, Marshall county, Marshall A.
Elia, Rolette county, Andrew R. Thompson.
$1,300. Decrease: Madison, $1,900 to $1,800.


text:
CEO Facebook: Sheryl Sandberg
in CEO Interviews
Facebook COO Sheryl Sandberg has run the PR gamut from feminist spokesperson to scapegoat amid scandal.
Sheryl Sandberg, who is the CEO of Facebook, is frequently referred to as the real brain behind the Facebook empire, the adult supervisor to founder, Mark Zuckerberg, and the public relations face of the company.
The Facebook CEO, a billionaire who has made the Time 100 list of the world's most influential people, is also widely considered to be one of the most powerful women in the world, Her book, "Lean In: Women, Work, and the Will to Lead", has sold over 2.25 million copies worldwide. Yet like the rest of the Facebook family, Sandberg has come in for her fair share of criticism over the past year amid allegations surrounding the company's role in the 2016 U.S. election. Essentially, the CEO of Facebook came under fire in relation to issues such as user privacy concerns, the firm's advertising-driven business model, and censorship.
A rough ride for the company means additional scrutiny on Sandberg, the Facebook CEO, as well, whom many observers insist has been every bit as important to the social media giant's success as Zuckerberg himself.
Facebook CEO's Journey to the Top
Sherly Sandberg, CEO Facebook, was born in Washington, DC, in 1969. The daughter of an ophthalmologist and French teacher, she grew up in Miami Beach, Florida, where she excelled academically before graduating summa cum laude from Harvard College with a degree in economics in 1991.
Two years later, the Facebook CEO enrolled in Harvard Business School and earned her MBA with the highest distinction. Amid a period in which the lack of women in business leadership roles has been much debated, the world appeared to be Sandberg's oyster.
Between 1996 and 2001, Sandberg worked for her former Harvard mentor and then U.S. Treasury Secretary Larry Summers in the Bill Clinton administration, yet the tech world beckoned. Before she became CEO at Facebook, Sandberg first worked for Google, where she was responsible for online sales of advertising and publishing products, as well as for sales operations of Google's consumer products and Google Book Search.
Then came the opportunity to be Facebook's first Chief Operational Officer—legend has it that Mark Zuckerberg hadn't even been looking for a COO when he met Sandberg by chance at a party in 2007, but was sufficiently impressed to offer her the role.
Sandberg's first task as Facebook CEO was to figure out how to make the company profitable. She has written that before she joined, the company was "primarily interested in building a really cool site. They assumed profits would follow."
By spring 2008, the company leadership had agreed to embrace ads provided they were "discreetly presented," and by 2010, the company was indeed profitable with revenues of over a billion dollars
Sandberg's role as CEO of Facebook would expand to include overseeing the firm's sales, marketing, business development, human resources, public policy, and communications. She later became the first female member of Facebook's board of directors in 2012.
Who is the CEO of Facebook: Sheryl Sandberg the Role Model
As a woman and CEO of Facebook, Sheryl Sandberg belongs to a small group of female corporate executives in the U.S. More remarkably, she is among the even lower number of women in CEO positions in the tech companies such as Facebook. Consequently, it is important to highlight that Sandberg has long stood out as an example of a high achiever who broke down preconceptions of women in the workplace and has also been an outspoken champion of women's rights.
In 2013, the Facebook CEO published the bestselling book "Lean In: Women, Work, and the Will to Lead." The book focuses on issues such as the lack of women in government and business leadership positions, as well as feminism, and has since sold over 2 million copies.
In her book, the CEO of Facebook argues that there are still barriers preventing women from taking leadership roles in the workplace. Barriers such as discrimination, blatant and subtle sexism, as well as sexual harassment. In equal measure, she claims there are barriers that women create for themselves through internalizing systematic discrimination and societal gender roles. The Facebook CEO argues that in order for change to happen, women need to break down these societal and personal barriers by striving for and achieving leadership roles—the eponymous "leaning in."
Sandberg's activism is not limited to the US. Instead, the Facebook CEO has also tried to inspire women globally. In 2015, she signed an open letter published by the ONE Campaign addressed to Angela Merkel and Chair of the African Union Commission (AU), Nkosazana Dlamini-Zuma, urging them to focus on women as they served as the head of the G7 in Germany and the AU in South Africa respectively. According to Sandberg, CEO of Facebook, the goal of the open letter was to put women's empowerment among the development funding priorities at the UN.
Facebook CEO Sheryl Sandberg's TedTalk
At TEDWomen in 2010, Sandberg made the bold decision to talk about the experience of being one of the very few women at the C-level of business. The Facebook CEO opened her TedTalk by highlighting one of the core challenges women go through in the corporate world using her own experience: "I left San Francisco, where I live, on Monday, and I was getting on the plane for this conference. And my daughter, who's three, when I dropped her off at preschool, did that whole hugging-the-leg, crying, "Mommy, don't get on the plane" thing. This is hard. I feel guilty sometimes. I know no women, whether they're at home or whether they're in the workforce, who don't feel that sometimes."
The Facebook CEO's now-famous TED talk, Why We Have Too Few Women Leaders, helped to launch the movement which has sparked Lean In groups, events, as well as educational and corporate partnerships. What stood out about this TedTalk was the openness, honesty, and vulnerability with which Sandberg spoke.
Facebook CEO Sheryl Sandberg's, Controversies
Yet as one of the most powerful women in America, Sandberg has naturally come in for her fair share of criticism, both in terms of business decisions she has taken at Facebook as CEO and her public image in general.
Some feminists blasted her book, Lean In, as "too elitist" and claimed Sandberg was "tone-deaf" to the challenges facing ordinary women lower down the economy, although her supporters claim she makes clear reference to women of different socioeconomic backgrounds.
Then came the 2016 election scandal that shook up Facebook as a whole. According to The Wall Street Journal, during a meeting of the company's leadership Mark Zuckerberg blamed the Facebook CEO personally for the outcome of the Cambridge Analytica scandal. The publication stated that the company's founder "blamed her and her teams for the public fallout over Cambridge Analytica." In fact, the Facebook CEO "confided in friends that the exchange rattled her, and she wondered if she should be worried about her job."
By late 2018, investors were openly discussing the possibility of Sandberg's tenure as CEO of Facebook coming to an end.
Others reasoned that the problems at the company are much broader. Ultimately, the CEO of Facebook answers to Zuckerberg. He effectively controls the company thanks to the voting rights his Facebook shares give him, which allow him to direct the firm as he sees it. But more to the point, Zuckerberg is the one who determines how much of the company's resources and engineering personnel to devote to particular efforts or projects.
Thanks to the stream of recent scandals afflicting Facebook, the company has seen increased costs and decreased user growth, which in turn have hit its stock price hard in recent months. Regardless of what happens, the next couple of years promise to bring significant change to the company.
Whether Sheryl Sandberg will remain the Facebook CEO during the transformation remains to be seen, but the mark she will have left on the social media giant is indisputable.
Facebook CEO Sheryl Sandberg's Resiliency and Bravery
Sheryl Sandberg lost her husband unexpectedly during a vacation together in 2015.
She turned that terrible experience into her book, which reaches out to you and serves as a functional guide to healing our hearts and finding out that resilience is not something you have, but something you build.
You can read more about her resilience by clicking here.
Tags: CEOCEO NorthamExecutive InterviewPrinted issueSheryl Sandberg
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Well, there are several ways to do this.
One way is to drop to GDB and type "b -[NSException raise]".
and type in the same thing, "-[NSException raise]".
Simple, and easy! Let Xcode do a lot of the work for you.
2. Be sure to type the symbol name with the correct case and :'s.


This summer has been one like no other. I've made some incredible new friends, both at home and thousands of miles away. I've served God in Wales, then got detoured for two days in Ireland. I went to my first NFL game. I applied for college graduation. I said no to a lot of potential internships, and I said YES! to the perfect one. I got baptized. I saw the US Men's National Team take on Nigeria in a friendly before they left for Brazil for the World Cup. I witnessed the unveiling of the world's largest high-definition video boards. I took a tour of EverBank Field, where I got to walk out onto the field to be overwhelmed by those scoreboards. I met the Jaguars number one draft pick, Blake Bortles, twice! There was a lot of happy hour drinks, and late nights out with friends. I took a Disney cruise with my family! But most of all I learned a lot about myself and the world around me.
When looking for a new job, internship, places to hang out, or shoes you have to know exactly what you want.Committing to something you don't want is only going to end badly. You are your biggest worst enemy in this case. All of those old cliches your mom used to tell you "if things sound too good to be true, they probably are" are true in this case. Especially those shoes that say they are comfortable all day long- they aren't.
2. It's okay to go to events alone.
Before this summer, I had this immense fear of going to big events alone. And by big events, I mean sold-out concerts, sporting events, and things with a guest count over 10,000. If I didn't have a friend to go with me, I didn't go. Well that changed. I can't stop living my life because people are busy and can't go with me to things. I had to see the USMNT before they left for Brazil, so I bought my ticket and I went. ALONE! And you know what? I had a great time. I had planned on seeing those scoreboards that are bigger than the field itself by myself, until the guy who was supposed to sit next to me (a stranger) never showed up and I knew my aunt and uncle were at the same event and they came to sit with me in the front row. I take solo beach trips and lunch dates because some days you just have to do you.
3. Put your yes on the table.
God is going to call you to do weird stuff. I know that, otherwise I probably still would have no idea where Wales is at. Even outside of traveling to Wales again, God called me to do some really random things. But that's a post for another time. My point here is to say when God tells you to do something there should be no arguing, even though we all, myself including, do it all of the time. Putting that yes on the table for the world to see is one of the greatest, scariest, and most fulfilling things I have ever done.
4. Making new friends is the best.
This summer I got the chance to make new friends, not only at home, but in Wales. The new memories I made with those new friends are ones I'm going to keep forever. From riding in a taxi for the first time, to cheering on the USMNT while they were in Brazil, to hiking through a slate quarry, and hanging out in the kebab shop while dinner was being made. Wherever those friends are today, I forever want them to know that they are immensely and deeply loved.
5. The end of summer is the start of a new adventure.
With the end of summer also comes the start of the last semester of my college career. I have already applied for graduation, so it just got even more real for me that what people have been calling "the real world" since high school is getting closer. But that doesn't really mean much to me. I know that God has this grand epic laid out for me and I know that I just have to say yes. Whatever lies ahead, I am not going to fear because God has already gone before me. Whether that means continuing to live in Jacksonville for a little while, moving to a new city to work, or moving to Wales, my answer will be yes to whatever new adventure is laid out.
Currently listening too: DJ Earworm "Mashup For What"


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stephanie beatriz interview
I mean, I wasn't ready! Brooklyn Nine-Nine returns February 6, 2020, at 8 p.m. on NBC. The film picks up five years after The LEGO Movie and everything is decidedly not awesome in Bricksburg. But Stephanie Beatriz, who plays the no-nonsense detective Rosa Diaz, was more cleareyed. The LEGO Movie 2: The Second Part star Stephanie Beatriz sits down with Collider to discuss playing a pre-teen girl's Darth Vader and her LEGO-related scar. Making a Cinephile. Interview With Stephanie Beatriz, Star Of HALF MAGIC February 24, 2018 Posted by Alex Arabian Interviews, Professional Publications No Comments [Published at Film Inquiry] You may recognize her most notably as the tough, no-nonsense, mysterious, monotoned character Rosa on the hit television show Brooklyn Nine-Nine. (As was the grueling choreography she had to learn.) It will test their courage, creativity and Master Building skills, and reveal just how special they really are. The battle to defeat them and restore harmony to the LEGO universe will take Emmet, Lucy, Batman and their friends to faraway, unexplored worlds, including a strange galaxy where everything is a musical. © 2020 Collider Cryptomedia, Inc. All Rights Reserved. LEGO DUPLO from the great beyond have invaded—led by Queen Watevra Wa'Nabi (Tiffany Haddish) and her incredibly named henchman General Mayhem (Stephanie Beatriz)—and Emmet (Chris Pratt), Lucy (Elizabeth Banks), Batman (Will Arnett), Metalbeard (Nick Offerman), Benny (Charlie Day), and Unikitty (Alison Brie) will have to travel to the furthest reaches of the house galaxy to stop it. And while Beatriz is eager to see where Rosa's storylines go this season (don't expect many more tidbits about her personal life this time around, she cautions), she admits that she's most excited about audiences getting to see new facets of her co-stars. Stephanie Beatriz, who plays Detective Rosa Diaz in NBC's Brooklyn Nine-Nine, has no shortage of praise for her co-stars. I wasn't ready to get swept up in a project that felt like I have new family members now. Interview with Stephanie Beatriz from Brooklyn 99, by Gita Cellei. "Like, I did everything that I could to make it the best that I thought it could be. Click to share on Twitter (Opens in new window), Click to share on Facebook (Opens in new window), Click to share on Reddit (Opens in new window). Photo by Alberto E. Rodriguez/Getty Images New 'Split' Theory: 'Unbreakable' is Only One-Third of the Film Equation in Shyamalan's New Combined Universe, Interview With Samantha Mathis, Star Of THE CLOVEHITCH KILLER, Tom Hughes Gets Candid About REALIVE, Its Themes & His Career, The Roxie Theater, San Francisco: Arthouse Cinemas & The Timelessness Of Celluloid. Far from seeing "diversity" as some sort of empty buzzword, Beatriz stresses how such portrayals expand our own notions of what characters and what stories take center stage. Interview: 'Brooklyn Nine-Nine' Is Back, and Stephanie Beatriz Is Making the Most of It Posted by renee on 20 January 2019 with 0 Comments When Fox pulled the plug on "Brooklyn Nine-Nine" in May, many fans and critics were shocked. I wasn't ready to meet Daphne Rubin-Vega on the first day of rehearsal. "I think you're not ready. The actress most recently guest starred alongside Fumero on an episode of One Day at a Time all about the various ways queer Latinas decide to present themselves to the world. Theme by HB-Themes. Stephanie Beatriz Is Bi and Proud as Hell. By Stephanie Beatri z… John Gallagher Jr. on 'Come Play,' Acting with a Practical Movie Monster, & Working with Mike Flanagan, 'The Queen's Gambit': Harry Melling and Thomas Brodie-Sangster on Chess Sequences as Action Scenes, Guillermo del Toro's 'Frankenstein' Monster Was "Hauntingly Beautiful," Says Doug Jones, Gillian Jacobs on 'Come Play', the 'Community' Movie, and Directing an Episode of 'Marvel's 616', Exclusive: Filmmaker Jim Cummings on the Five Movies That Inspired 'The Wolf of Snow Hollow'. Here is the official synopsis for The Lego Movie 2: The much-anticipated sequel to the critically acclaimed, global box office phenomenon that started it all, "The LEGO Movie 2: The Second Part," reunites the heroes of Bricksburg in an all new action-packed adventure to save their beloved city. For her it was a beautiful whirlwind of a ride that she'll treasure forever. I think that every single cast member feels that way. "She is like a Latina Lucille Ball. Watch Late Night with Seth Meyers interview 'Stephanie Beatriz's Interactions with Brooklyn Nine-Nine Fans Are Weird' on NBC.com And yet here we are, it's 2019, Phil Lord and Chris Miller are miracle workers, and The LEGO Movie 2: The Second Part is an unadulterated delight. Is Jurassic World: Fallen Kingdom An Apocalyptic Film? Mike Mitchell and Trisha Gum direct from a script by Lord and Miller. It's like a kaleidoscope lens: it used to be this certain thing and now we've flipped and turned it, and now it's so many versions of what maybe was once only one thing.". Beatriz beams when I mention how much that episode has touched audiences. She goes even further by quoting the musical Mame ("Life is a banquet and most poor bastards are starving to death!") pointing out that the last decade does feel like, finally, the queer and Latinx communities are starting to find more shows and movies that nourish them. The LEGO Movie 2: The Second Part lands in theaters on February 8. When I tell Beatriz that — much like everyone else on the planet — I was floored by the film's first trailer and that I truly had not been ready for just how fabulous it looked, she smiles. But when they wrapped and she flew back home, she knew that she'd given it all. Knowing how much audiences around the world love the stage musical made wading into it a challenge. Jim Gaffigan on Teaming Up with Amazon for a Stand-Up Special &…, 'El Chicano' Poster Shows a Different Kind of Vigilante from Co-Writer Joe…. To her, the ability to play someone like Rosa, who came out as bisexual and got a love interest played by Gina Rodriguez, and to then play a lesbian cousin on One Day at a Time, is a reminder of how far conversations about visibility and representation have come. Before The LEGO Movie 2 hits theaters, I sat down with Stephanie Beatriz to chat about the film. 'Brooklyn Nine-Nine's Stephanie Beatriz Is Proud of Being at the Forefront of a New Era of Queer Latinx Visibility, who came out as bisexual and got a love interest played by Gina Rodriguez, Candace Valenzuela Is Ready To Make History as First Black Latina in Congress, Meet María Isabel, a Dominican Singer-Songwriter Who's in It for the Long Haul, On the Issues: An Election Guide on Where Biden & Trump Stand. She's particularly tickled about audiences seeing a different side of Andre Braugher's recently demoted captain Holt. Check out what she had to say in the player above. Up ahead, of course, is what promises to be one of the most lavish examples of such progress, the big-screen adaptation of Lin-Manuel Miranda's In the Heights musical, where Beatriz plays Carla, one of the girls who works at Daniela's salon. "She's absolutely brilliant," she gushes. Stephanie Beatriz and Melissa Fumero of "Brooklyn Nine-Nine" are sitting alfresco at a Hollywood restaurant on a windy February afternoon uttering phrases pretty common in conversations between women who are seeking new challenges in their work. And her face! But it's Melissa Fumero for whom Beatriz reserves her warmest admiration. We also discussed how her performance changed once she saw her character design, essentially playing a version of Darth Vader as imagined by a pre-teen girl, how she got her LEGO-related scar, and much more. 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