Have you ever wished that somebody could just reach out to you, right now? They wouldn't need to be given your life story, because they would know what you need automatically. They could help you through some of the hardest situations. They could make your life easier to deal with. There would be no need to feel like you're just going to be spinning your wheels forever. The time to act is definitely today — but where do you get started?
The truth is that you can start with a free psychic reading. You will be amazed at what the psychics can reveal about your life. They work on a higher level than you can interpret right now. Reading the energy of your life and looking forward is part of what they do. Psychics are master intuitive types, being able to understand a person's pain even without looking at them. No wonder that free psychic readings have exploded in popularity. It never hurts to really feel like someone is reaching out for you, reading out to you, and needing you to just trust them for a little bit.
Trust is interesting because it tend sot make us feel calmer. Once you know that the psychic accepts you and wants to help you, don't be surprised to find that you're a lot less stressed out. We're all walking around with so much stress these days, and it's something that can really hurt you in the long run. For example, stress is linked to heart disease, which in turn is linked to dying at a younger age than what you would have expected to before.
The time to break out of stress is today. If you're going to go for that psychic reading, you might as well make sure that you check out a free Tarot reading. The psychic can use the tarot cards to give you an even deeper understanding of where you're going in life. Wouldn't it be nice to finally feel like there's some new clarity entering your life? Of course it would. You just need to make sure that you're taking as much action as you utterly can as soon as you possibly can. That's really the best perspective to take when it comes to something like this. Good luck and remember: give it a chance, because you just never know what could come of it!
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1Axalta Coating Systems, Front Royal, Virginia, USA.
2Systems Engineering Department, Donaghey College of Engineering & Information Technology, University of Arkansas at Little Rock, Little Rock, Arkansas, USA.
One of the most interesting applications of genetic algorithms falls into the area of decision support. Decision support problems involve a series of decisions, each of which is influenced by all decisions made prior to that point. This class of problems occurs often in enterprise management, particularly in the area of scheduling or resource allocation. In order to demonstrate the formulation of this class of problems, a series of maze problems will be presented. The complexity of the mazes is intensified as each new maze is introduced. Two solving scenarios are introduced and comparison results are provided. The first scenario incorporated the traditional genetic algorithm procedure for the intended purpose of acquiring a solution based upon a purely evolutionary approach. The second scenario utilized the genetic algorithm in conjunction with embedded domain specific knowledge in the form of decision rules. The implementation of domain specific knowledge is intended to enhance solution convergence time and improve the overall quality of offspring produced which significantly increases the probability of acquiring a more accurate and consistent solution. Results are provided below for all mazes considered. These results include the traditional genetic algorithm final result and the genetic algorithm optimization approach with embedded rules result. Both results were incorporated for comparison purposes. Overall, the incorporation of domain specific knowledge outperformed the traditional genetic algorithm in both performance and computation time. Specifically, the traditional genetic algorithm failed to adequately find an acceptable solution for each example presented and prematurely converged on average within 54% of their specified generations. Additionally, the most complex maze generated an optimal path directional sequence (i.e. N, S, E, W) via a traditional genetic algorithm which possessed only 50% of the required allowable path sequences for maze completion. The incorporation of embedded rules enabled the genetic algorithm to locate the optimum path for all examples considered within 5% of the traditional genetic algorithm computation time.
Decision support has developed into a broad spectrum of applications encompassing optimization through a variety of methods including genetic algorithms  . The traditional genetic algorithm is an evolutionary approach where problem characteristics are encoded to initially form random chromosome strings where strings are paired and the exchange of essential data is passed to create offspring. This offspring is evaluated against an objective function and potential optimization constraints which determine the success of the derived offspring. Additional key factors in the genetic algorithm evolutionary process include penalty factors which minimize the occurrence of poor offspring and mutation which randomly alters the encoded string to produce designs potentially unattainable within a small population size. Extensive background and theory regarding the fundamental methodology of the genetic algorithm can be found in  and  .
The aim of this research is to illustrate the use of domain specific knowledge to enhance the genetic algorithm search through the minimization of computation time for solution convergence. Domain specific knowledge has been introduced into the genetic algorithm in the form of a two-phase rule approach to enhance both topological and structural optimization problems as demonstrated by Webb, et al.  and  .
This study determines the appropriate path sequence to effectively negotiate a series of mazes within this prescribed research. Similarly to this optimization initiative, the use of domain specific knowledge was demonstrated by Alobaidi, et al.  to determine the optimal travel path sequences for the Traveling Salesman problem through the use of a rule based genetic optimization algorithm. Overall, the incorporation of a rule based enhancement to the genetic algorithm can be introduced within a variety of methods which includes a phased based rule encoding scheme as proposed by Sandgren et al.  . Phase one mimics the formulation of a traditional genetic algorithm string; however the second phase utilizes rule based chromosome strings to determine what domain specific knowledge or rule executes to ultimately improve the outcome of phase one. This research exposes embedded rules within the traditional genetic algorithm to further illustrate an alternative means for utilizing domain specific knowledge while enhancing the traditional genetic algorithm process.
Figure 1. 10 × 10 grid maze.
Table 1. Character representation values for travel sequence string.
Table 2. Genetic input parameters.
utilized in the problem formulation for all mazes considered.
A random population of travel sequences is generated and evaluated by the objective function as illustrated in Equation (1). If deemed a legitimate move within the maze, the objective function calculates the total distance of each travel sequence, however the final result is path and distance weighted as illustrated in Equation (2), for the directional moves within the travel sequence are theoretically legitimate, but actual distances may not be calculated in the event N-S or E-W moves are introduced into the travel sequence. Once evaluated by the objective function, the best travel sequences are selected and placed within a mating pool, where travel sequences are randomly paired and genetic chromosome cross over commences. Chromosome cross over is the process of mating two parent travel sequence strings by the random selection of a numbered character shared by both strings. Once a shared character between both strings is selected, each chromosome string exchanges characteristics the right of the selected gene until the end of both chromosome strings has been reached. Subsequent to genetic cross over, each offspring produced is evaluated by the objective function, where directional moves within the new travel sequence are only implemented if legitimate within the maze. Illegitimate moves within travel sequences are simply ignored by the objective function and the travel sequence string is reduced in total length. This process continues until a predetermined number of generations of offspring have been produced. Mutation, or the random alteration of genes of a parent travel sequence string within the mating pool occurs, however the probability is minimal. Mutation introduces randomness, which provides the design or decision chromosomes with characteristics normally unattainable subsequent to a number of generated offspring. Upon the completion of a user specified number of generations, the genetic algorithm has potentially created a travel sequence string which encompasses the total or partial path which unites both start and end cells.
where, n p a t h = total number of paths each cell move possesses that culminates the defined path.
Domain specific knowledge in the form of rules were embedded within scenario one. These rules are governed by each travel sequence and the travel sequence is controlled by the genetic algorithm.
The cells which compose of the maze are initially predefined by how many exits each cell possesses and if the cell possesses only one exit, information is provided to which direction the available exit is located (i.e. N, E, S or W). When a cell is located within the travel sequence and only one exit is available, the genetic code is provided with what direction out the cell possesses. With this information, a wall is created to block off the cell, creating a block, so that no future travel sequences may enter. All cells are updated with the creation of this new wall and the process continues whenever a travel sequence encounters a one exit cell. This prescribed embedded rule is attributed by prior knowledge acquired from Williams  . Additionally, when the objective function evaluates each move within a specific travel sequence, redundant moves are removed such as N-S and E-W, so that every move accepted creates an actual distance.
The implementation of rules within the objective function subroutine which eliminate redundant moves before being drawn is controlled by the genetic code, since the travel sequence is governed by the genetic algorithm and rules are applied as travel sequences are introduced to the embedded rules. This also holds true for walls created when travel sequences encounter a cell with only one exit. The rule for the implementation of a wall is only executed if the genetic code generates a travel sequence which leads to a cell with only one exit. Computation time for solving all mazes considered was minimal with the inclusion of embedded rules.
Three mazes were investigated and solved by the use of both a traditional genetic algorithm and a genetic algorithm with embedded rules. Each maze scenario presented was programmed in Visual Basic  . Genetic algorithm parameters utilized in the formulation of the provided results are illustrated in Table 3. The mazes constructed were 10 × 10, 20 × 20, and 50 × 50 cell mazes, which demonstrated a gradual progression in maze complexity as each maze was examined and solved. Overall, the genetic algorithm which incorporated embedded rules was the most effective optimization approach. The injection of domain specific knowledge into a genetic algorithm significantly enhanced computation time and the quality of genetic offspring produced. Genetic results for both optimization approaches initially appear at the end of the second generation, for both optimization techniques generated new offspring travel sequence strings immediately following the construction of the initial random population. The generation of new offspring subsequent to the creation of an initial random population was implemented to immediately reduce any extraneous travel sequence strings from the random population to potentially improve genetic offspring and computation time. Lastly, graphical representations of objective function versus generation were constructed for each maze solving procedure considered.
Below illustrated in Figure 2 is the initial 10 × 10 cell maze before the commencement of genetic optimization. Notice that the complexity of the maze is fairly straightforward, but results below confirm that a conventional genetic algorithm was unable to locate an acceptable solution.
Table 3. Maze genetic parameters.
Figure 2. 10 × 10 cell maze.
Figure 3. Genetic algorithm result.
completion of fifty two generations and an initial population size of one hundred, the genetic algorithm was unable to locate an acceptable solution. Population and generation sizes must be largely increased to potentially locate the maze solution. The objective function versus generation graph provided in Figure 4 revealed an overall steady increase in objective function until generation forty five and remained constant throughout the remainder of the fifty two specified generations. An increase in these genetic input parameters would significantly hinder computation time, and would further reinforce the necessity to refine the genetic algorithm procedure. Theoretically, once a considerable number of generations of offspring have been produced an acceptable solution would be achieved. However, genetic input parameters were increased on several occasions, but an acceptable solution was still not acquired.
Figure 4. Objective function versus generation.
Figure 5. Embedded rules final result.
knowledge. Genetic input parameters were identical to the traditional genetic optimization result illustrated in Figure 3. An examination of Figure 5 revealed that not all travel paths were blocked, which clearly indicated for even the least complex of mazes that the embedded rules are travel sequence dependent, where each travel sequence is controlled by the genetic algorithm. Furthermore, the objective function versus generation graph illustrated in Figure 6 revealed that a solution was found upon the conclusion of the second generation of offspring produced. In comparison to Figure 4, the traditional genetic optimization approach spawned fifty two generations of offspring, yet was incapable of generating an acceptable solution. Clearly this approach is the optimal method for solving this class of problems.
Figure 6. Objective function versus generation.
Figure 7. 20 × 20 cell maze.
the traditional genetic algorithm technique, for the genetic algorithm is a global search method based upon an evolutionary approach.
Illustrated within Figure 8 is the traditional genetic algorithm result. Genetic input parameters consisted of a population size of two hundred with one hundred-two generations. Notice that an acceptable solution was unable to be located upon the conclusion of one hundred-two generations. Population and generation genetic input parameters were manipulated on several instances but, an acceptable solution remained unachievable.
An examination of Figure 9 revealed a steady increase in objective function over a period of eighty generations, however inactivity was apparent throughout the remaining twenty two generations.
Figure 8. Genetic algorithm result.
Figure 9. Objective function versus generation.
Figure 10. Embedded rules final result.
genetic algorithm with an embedded rules approach applied to the 20 × 20 cell maze. Notice that all routes were not blocked, for the genetic algorithm found the optimal path without traveling to every available location, which further reinforced that the rules embedded are executed based upon travel sequences controlled by the genetic algorithm. Figure 11 revealed that a solution was found within the second generation of offspring produced. A comparison with the result illustrated in Figure 8 showed that the traditional genetic algorithm solution generated a final result which was incomplete, and furthermore failed to locate the correct travel path concluding one hundred-two generations of offspring. Failure to locate the correct travel path upon the conclusion of the conventional genetic algorithm method further reinforces the necessity of a rule based scenario to enhance the traditional genetic algorithm. Potentially large phase two population and generation sizes would be considered to further refine this conventional genetic algorithm result, for a vast variety of rule sequences must be generated to correct the inadequately generated travel path.
The final maze investigated consisted of a 50 × 50 cell maze  . This maze incorporated the highest level of complexity among the mazes previously examined. Twenty five hundred cell blocks were manipulated in the formation of the maze illustrated below in Figure 12. The ability to utilize domain specific knowledge within a genetic algorithm to enhance solution time and the quality of offspring generated, while demonstrating that an acceptable solution can be located at this level of complexity, settles any disputes with regard to the need for rules within a genetic algorithm.
Figure 11. Objective function versus generation.
Figure 12. 50 × 50 cell maze.
Figure 13. Genetic algorithm result.
genetic algorithm result; the genetic algorithm was able to locate a portion of the optimal path. Genetic input parameters consisted of a population size of five hundred and a generation size of two hundred fifty-two. Since an acceptable portion of the path was located, an increase in genetic input parameters would potentially improve the probability of locating a more acceptable solution in comparison to the previous 20 × 20 and 10 × 10 maze results. Surprisingly, the conventional genetic algorithm procedure failed to locate the complete travel path for each maze considered.
An examination of Figure 14 shows a steady but minimal increase in objective function over a period of one hundred eighty-seven generations, yet remained inactive throughout the remaining sixty five generations.
Figure 14. Objective function versus generation.
The genetic algorithm which incorporated embedded rules was utilized to solve the 50 × 50 cell maze. Genetic input parameters remained identical to its counterpart. This optimization approach effectively solved the maze illustrated in Figure 15. Similar to previous results, this optimization approach successfully located the maze exit without traveling to every possible location within the maze, but only by travel sequences created by the genetic algorithm. The objective function versus generation graph within Figure 16 revealed that the final solution was located upon the completion of four generations of offspring. A comparison with Figure 14 clearly indicates that the incorporation of embedded rules significantly decreases computation time and enhances the quality of genetic offspring produced, since only four generations of offspring were required to achieve a solution, where two hundred fifty-two generations were completed using a traditional genetic algorithm approach, yet a complete solution remained unattainable.
Figure 15. Embedded rules result.
Figure 16. Objective function versus generation.
to locate an acceptable solution which effectively solved each maze.
 Gen, M. and Cheng, R. (1997) Genetic Algorithms & Engineering Design. John Wiley & Sons, Inc., New York.
 Webb, D., Liu, Q., Alobaidi, W. and Sandgren, E. (2017) Topological Design via a Rule Based Genetic Optimization Algorithm. American Journal of Computational Mathematics, 7, 291-320.
 Webb, D., Alobaidi, W. and Sandgren, E. (2017) Structural Design via Genetic Optimization. Modern Mechanical Engineering, 7, 73-90.
 Sandgren, E., Webb, D. and Pedersen, J.B. (n.d.) A Rule Based Evolutionary Algorithm for Intelligent Decision Support.
 Microsoft Corporation (1998) Microsoft Visual Basic Version 6.0.


text:
livingfree
realinvestigations
BardsFM: Elites seek control of Fourth Industrial Revolution, evolution of transhumanism – Brighteon.TV
01/12/2022 / By Kevin Hughes
The elites in America are trying to control the development of the Fourth Industrial Revolution and the evolution of transhumanism.
"The objectives of the elites are a common shared goal that the prize are the people and the last thing that they really want is too much independent thought and push towards an original setting of the Constitution," said "BardsFM" host Scott Kesterson during the January 6 episode of his show on Brighteon.TV.
Recalling the January 6, 2021 incident at Capitol Hill, Kesterson noted that a Fourth Industrial Revolution or Industrial Revolution 4.0 won't proceed without having transhumanism or the people evolving beyond their mental and physical limitations.
Kesterson believes that the moderate Masonic elites are going to play an important role going forward when they upend the Illuminati elites and assume a lot of global control. Soon, according to him, words like establishing independent republics, reestablishing the New Republic, universal basic income, redistributing the elites' wealth and quantum system will become familiar.
According to Kesterson, both group of elites will not step back from the progression towards gene editing, robotics and integration of humankind into the digital sphere, which he said are the foundation they are seeking to have control. (Related: Clay Clark digs into vaccines and transhumanism with Dr. Carrie Madej – Brighteon.TV.)
Case in point, said Kesterson, is the vaccination schemes to check the Wuhan coronavirus (COVID-19) pandemic.
"It truly is he who controls the vaccines, controls the world. And he who controls the narrative around the vaccine, controls the world. So the more people that comply to the injection, it's just a matter of who controls the backend of the influence and programming," Kesterson said.
The "BardsFM" host took note of the recent release of "The 355" movie and 5G network launching.
"The 355" takes its title from the code name given to a woman who spied for George Washington during the Revolutionary War. The globe-hopping action film directed by Simon Kinberg, who co-wrote it with Theresa Rebeck, highlights a handful of female spies, along with betrayals, double crosses and reversals of fortune, spiced up by thrilling action scenes. It is attractive to fans of beautiful women fighting the bad guys.
"The interesting thing about the film is at the center point, the Central Intelligence Agency (CIA) is once again its hero, the hero of the world, which doesn't surprise me since the CIA's main operational headquarters for domestic operations in the U.S., is rooted in Hollywood," Kesterson said.
He pointed out that the sudden appearance of "The 355" on the global market and in many theaters is stunning, especially for a film that only has a $70 million budget – which by Hollywood standards is not a massive blockbuster potential.
"This film suddenly has the resources, and most importantly, the backing influence to place it in major theaters across the entire nation and the world simultaneously," Kesterson noted. "As a simultaneous release plus translations in foreign language are very important benchmarks to look at when you're looking at this film, where it came from, who's funding it and what's causing this massive change."
New film is part of 5G network test
Kesterson thinks the film is a real indicator that something very significant is being done right now to influence and direct behavior of people.
"My premise is more towards the idea that it's part of a network test that's pushing people to track the sales and the attendance of a film that has had no advertising. So keep in mind, this film has had almost no advertising, the trailers just suddenly appeared. And all of a sudden, this film is global," he said. "That film shouldn't be able to do get the placement it has with its budget, and its lack of naming, and yet it does and has."
He believes "The 355" comes more likely from the moderate wing of the elites, and the film is some sort of message and has all the makings of being a systems test of influence.
"So whatever this film represents, my baseline theory is that with the rollout of 5G, which I believe is still happening. I think what we're witnessing here is a test to see the influence of the 5G network on those that have been vaccinated versus those that are unvaccinated," Kesterson pointed out.
Similarly, it tests the influence of those that are on social media versus those that are going to be influenced by whatever seeds are put into the 5G network. He added that once people are injected, they carry micro routers with little signaling processors that light up on the 5G network like a big beacon.
This makes it very easy to track the physical movements of people as well as the impact that it would have on their behavior by putting in stimulus that the 5G could push. Kesterson said this is the one thing about the new system in the transhumanist model that both elite sides agree on.
Stop looking at good guy versus bad guy theme
According to Kesterson, it's no longer "good guy versus bad guy theme" because this is the elites competing for power and the people trapped in-between.
To get free, people need to question everything.
"Don't ever stop questioning. Don't ever stop digging. There is a lot of confusion. It's very difficult to find truth these days, it's only gotten more so," Kesterson said.
"And as these factions fight, take a step back and ask yourself where you fit in. Where is your role with them? Not where your role is in this world because God has you here for a very intended reason. And it centers on your gifts and talents and using those each and every day. When you ask yourself where you fit in with these elites, you start to see what you are and where they see you."
Kesterson concluded the system is deeply broken beyond repair, deeply corrupted to its very core and has no desire to give power back to the people. He said that the Jan. 6, 2021 Capitol siege manifested the system's intention, and the people must face the situation.
Watch the full Jan. 6 episode of "BardsFM" with Scott Kesterson in the video below. Catch new episodes of the program every Thursday at 5-6 p.m. on Brighteon.TV.
Follow DeepState.news to know more about the globalist elites seeking to subjugate the world.
Tagged Under: 5G network, BardsFM, brainwashing, Brighteon.tv, CIA, covid-19, Fourth Industrial Revolution, globalist elites, hollywood, mind control, pandemic, Social media, transhumanism, vaccine, vaccines
The information battle of 2022 will be the war for what is left of America as big tech starts the year off with a devious new mass censorship campaign
mRNA inventor Dr. Malone describes FULL-ON MEDIA WARFARE as the Covidian Complex cons the majority of Americans into getting deadly Fauci Flu injections
Rep. Jim Jordan plans to take on Big Tech after Republicans regain control of the House in 2022 midterms
Anti-vaccine protesters in Amsterdam brutalized by law enforcement, police dogs
Dr. Robert Malone says he's been "multi-dimensionally red-pilled" on covid, Great Reset, Big Tech censorship and more
Filmmaker Mikki Willis calls on people to push back against government tyranny – Brighteon.TV
Rapid antigen tests for COVID-19 running out ahead of holidays
Jeff and Shady talk about resisting medical tyranny with Dr. Simone Gold – Brighteon.TV
Dr. Alan Keyes brands Democratic Party the anti-American party – Brighteon.TV
12/20/2021 / By Matthew Davis
There comes a time when there is no alternative to fighting for your life and liberty
Greg Caton urgently needs your prayers: On life support after suffering severe, prolonged heart attack
Your dominant DELUSION determines how you experience "reality" and how it all ends for you
Dr. Robert Malone warns of "mass formation psychosis" amid COVID pandemic
People long drowning in a sea of misinformation are slowly awakening as 'cognitive dissonance' strikes hard & the globalist 'Orwellian doublethink' masks melt away
People are WAKING UP to the truth that COVID vaccines don't work – Brighteon.TV
Matt Thayer talks about Hollywood and creating patriot films with Tom Renz – Brighteon.TV
UK government plans to recognize several marine animals as sentient beings
How many times must Facebook be caught censoring the truth?
The Health Ranger talks about humanity's awakening with Pastor Leon Benjamin – Brighteon.TV
COPYRIGHT © 2017 AWAKENING NEWS

redpajama_set_name: RedPajamaCommonCrawl


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text:
\section{Introduction}

One of the  outstanding problems of modern theoretical physics is
the construction of quantum theory of gravity \cite{reviews}. Indeed,
it have been
claimed many times that various unsolved problems like the
cosmological
constant problem, the problem of origin of the universe, the problem
of
black holes radiation will find their ultimate solution once this
theory
is finally constructed and properly understood. Some \cite{Emperor},
claim that the theory of quantum gravity will also shed some light on
the
fundamental problems of quantum mechanics and even on the origin of
mind.
These all prospects are very exciting indeed, however, up to now,
the shapes of the future theory are still very obscured.

Nowadays there are two major ways of approaching the problem of
quantum gravity. The first one is associated with the broad term
`superstrings'. In this approach the starting point is a
two-dimensional quantum field theory which yields quantum gravity as
a part
of the resulting low-energy  effective theories. It is clear that in
superstrings, like in other, less
developed approaches in whose gravity appears as an effective theory,
it
does not make sense to try to ``quantize'' classical gravity.

In the
canonical approach one does something opposite: the idea is to pick
up
some structures which appear already at the classical level and then
promote them to define the quantum theory. In both the standard
canonical approach in metric representation, which we will follow
here,
and
in the approach based
on loop variables \cite{loop}, these fundamental structures are
constraints
of the  classical canonical formalism reflecting the symmetries and
dynamics of the
theory,  and their algebra. There are good
reasons for such an approach. The equivalence principle is the main
physical principle behind the classical theory of gravity; this
principle leads to the general co-ordinate invariance and selects the
Einstein--Hilbert action as the simplest possible one.

Another building block of quantum theory is the quantization
procedure. Here one encounters the problem as to if a generalisation
of
the standard Dirac procedure of quantization of gauge theories in
hamiltonian
language is
necessary. This would be the case if one shows that the standard
approach
is not capable of producing any interesting results. It is not
excluded
that this may be eventually the result of possible failure of
investigations using standard techniques, however, in our opinion, at
the moment there
is no reason to modify the basic principles of quantum theory.

Our starting point consists therefore of
\begin{itemize}
\item[(i)] The classical constraints of Einstein's gravity: the
diffeomorphism constraint generating diffeomorphism of the spatial
three-surface ``of constant time''
\begin{equation}
{\cal D}_a=\nabla_b\, \pi^{ab}
\end{equation}
and the hamiltonian constraint generating ``pushes in time
direction'':
\begin{equation}
{\cal H} = \kappa^2 G_{abcd}\pi^{ab}\pi^{cd} - \frac1{\kappa^2}\sqrt
h
(R +2\Lambda)
\end{equation}
In the formulas above $\pi^{ab}$ are momenta associated with the
three-metric $h_{ab}$,
$$
G_{abcd}=\frac1{2\sqrt
h}\left(h_{ac}h_{bd}+h_{ad}h_{bc}-h_{ab}h_{cd}\right)
$$
is the Wheeler--De Witt metric, $R$ is the three-dimensional
curvature scalar, $\kappa$ is the gravitational constant, and
$\Lambda$
the
cosmological constant. The constraints satisfy the following Poisson
bracket algebra
\begin{equation}
[{\cal D}, {\cal D}] \sim {\cal D},\label{difdif}
\end{equation}
\begin{equation}
[{\cal D}, {\cal H}] \sim {\cal H},\label{difham}
\end{equation}
\begin{equation}
[{\cal H}, {\cal H}] \sim {\cal D}. \label{hamham}
\end{equation}
\item[(ii)] The rules of quantization given by the metric
representation
of the canonical commutational relations
$$
\left[\pi^{ab}(x),h_{cd}(y)\right]=-i\delta^{(a}_c\delta^{b)}_d
\delta(x,y),
$$
$$
\pi^{ab}(x)=-i\frac{\delta}{\delta h_{ab}(x)}.
$$
\item[(iii)] The Dirac procedure according to which one imposes
constraints quantum mechanically by demanding that they (or, better,
the
corresponding operators) annihilate the subspace of the Hilbert space
called the set of physical states. Bearing in mind the notorious
regularisation and renormalization problems of quantum field theory,
one
should clearly state what the phrase ``corresponding operators''
means.
In general, different choices of such operators could result in
different quantum theories.
\end{itemize}

In the canonical approach, the points (i) to (iii) above
encompass the whole of the input in our disposal in construction of
the
quantum theory. In particular, we do not know what is the correct
physical inner product, and thus we do not know if the relevant
operators
are hermitean or not. Besides, we do not even know if, in the case of
quantum gravity, we should demand
these operators to be hermitean: the hamiltonian annihilates the
physical states (the famous time
problem \cite{ishamtime}) and thus unitary evolution does not play
any
privileged role anymore. It follows that, perhaps, we cannot
distinguish
``relevant''
wave functions by demanding that they are normalizable, as in the
case
of quantum mechanics, in fact, since the probabilistic interpretation
of
the ``wavefunction of the universe'' is doubtful, it is not clear at
all if
the
norm of this wavefunction is to be $1$.

In the recent paper \cite{JK} a class of exact solutions of the
Wheeler--De Witt equation was found. In that paper we used the heat
kernel to regularise the hamiltonian operator and inserted the
particular operator ordering. The question arises what is the level
of
arbitrariness in this construction. In other words, could we
construct
other (possibly simpler) regularised hamiltonian operators and what
would be their
properties? This question is the subject of the present paper.
\newline

It is clear from the discussion above that the only principle, we can
base our construction on is the principle that the algebra of
constraints is to be anomaly--free, that is, the corresponding
algebra
of commutators of quantum constraints is weakly identical with the
classical one. This means that the structure of the
Poisson bracket
algebra (\ref{difdif}--\ref{hamham}) is to be preserved, in the sense
which will be explained below, on the quantum level. The following
section is devoted to the analysis of this problem.
In section 3 we investigate solutions of the resulting equations.
Some more technical results are presented in the Appendix.

\section{The commutator algebra and construction of regularised
operators}

As explained in Introduction, our starting point in construction of
the quantum hamiltonian operator (the Wheeler--De Witt operator) is
the
algebra (\ref{difdif}--\ref{hamham}) and we demand that the same
algebra
holds on the quantum level. At this point one should ask the question
why we impose such a condition. One of the possible answers is that
the closure
of the algebra is the only principle which makes it possible to find
operators corresponding to classical constraints, required by the
Dirac
procedure. Another
argument to be found in the literature is that if the algebra is
anomalous (that is, if there are additional
terms resulting from the commutators of the constraint operators) one

cannot find any solutions of
the  quantum constraints. This does not apply
here since we know explicitly that for a particular
regularisation/regularisation prescription introduced in \cite{JK} a
class
of solutions exist, and on  solutions the algebra closes identically.
The above argument can be therefore rephrased
as follows. We want the algebra to close because if it does not, then
the
solutions we find will have to be in the
kernel of the anomaly (we know that the kernel is non-empty because
solutions
do exist) which would mean that
the conditions we impose will be more restrictive than the ones
imported from
the classical theory. This by itself is not a disaster, since, in any
case,
the classical limit will be the same, but we would like to depart
from the
classical theory as little as we possibly could.

From our point of view there is another important argument in favour
of
preserving the constraint algebra
structure. The vanishing of anomaly is, as it turns out, a quite
restrictive
condition which makes it possible to
restrict the form of the employed regulator. The idea is therefore to
find
a regularisation/renormalization
procedure consistent with the symmetries dictated by the classical
general
relativity and to restrict it further by demanding that there are
solutions
of the theory in a class of natural wavefunctions.

The problem of commutator algebra has been analysed in
\cite{algebra},
\cite{algebra1} (and recently in
\cite{Maeda}) with the result that formal manipulations involving
point
splitting lead to ambiguous final
expressions. This conclusion is hardly surprising: It is well known
\cite{Jackiw} that
to compute an anomaly one should first
define the space of states on which the operator in question act. Then
one should clearly state what is the
procedure of extracting the finite part of formally divergent
expressions.
Thus the right question to ask is {\em
not} what is the formal commutator of constraints but: Given a space
of
states, does it exist a
regularisation/renormalization prescription such that the renormalized
action of the operators on the states closes?
It should be stressed that this question is based on the
basic physical interpretation of the relevant operators; indeed,
the constraints operators are  generators of physical transformations
which make sense
only in terms of results of their action
on appropriate states.
As it will be seen below,
the condition guaranteeing the absence  of anomalies, not
surprisingly,
becomes different when
the operators act on different states. The technical reason is simply
that
different
states pick up different parts of the regulator. This fact is, of
course, well known in investigation of anomalies in quantum field
theory
in canonical quantization language (cf.\ \cite{Jackiw}).
\newline

As stressed above, we must start with  choosing the initial
space of wave functionals. We assume that this space of states is the
space
of functions of Riemannian functionals, i.e.,
integrals over compact three-space $M$ of scalar densities built of
polynomials in  Ricci tensor, like ${\cal
V}=\int_M\sqrt h$, ${\cal
R}=\int_M\sqrt h R$, etc.:
\begin{equation}
\Psi = \Psi({\cal V}, {\cal R}, \ldots).
\end{equation}

We choose the following representation of the diffeomorphism
constraint
\begin{equation}
{\cal D}_a(x)=-i\nabla_b^{x} \frac{\delta}{\delta h_{ab}(x)},
\label{diffeom}
\end{equation}
where we employed the notation $\nabla_b^{x}$ meaning that the
covariant
derivative acts at the point $x$. Then we see that diffeomorphism
constraint annihilates all the states and the commutator relation
(\ref{difdif}) is identically satisfied. This is the reason for a
particular, natural ordering in (\ref{diffeom}). Moreover we see that
the
relation
(\ref{difham}) reduces to the {\em formal} relation
\begin{equation}
{\cal D}({\cal H}\Psi)\sim {\cal H}\Psi.\label{difham1}
\end{equation}

Now we must turn to the heart of the problem, the construction of the
Wheeler--De Witt operator. It is well known that second functional
derivative acting at the same point on a local functional
produces divergent result. We
deal with this problem by making the point split in the kinetic term,
to wit
$$
G_{abcd}(x)\pi^{ab}(x)\pi^{cd}(x) \Longrightarrow
\int\, dx'\, K_{abcd}(x,x';t)
\frac{\delta}{\delta h_{ab}(x)}\frac{\delta}{\delta h_{cd}(x')},
$$
where $K_{abcd}(x,x';t)$ satisfies
$$
\lim_{t\rightarrow 0^+}K_{abcd}(x,x';t)= G_{abcd}(x')\delta(x,x').
$$
By virtue of the correspondence principle, we take
\begin{equation}
K_{abcd}(x,x';t)=G_{abcd}(x')\triangle(x,x';t)\left(1 +
K(x,t)\right),
\end{equation}
where
$$
\triangle(x,x';t)=\frac{\exp\left(-\frac1{4t}
N_{ab}(x)(x-x')^a(x-x')^b\right)}{4\pi t^{3/2}}
$$
and $K(x,t)$ is a power series in $t$ vanishing at $t=0$.
Using the fact that $t$ has dimension $m^{-2}$ we make the following
expansion for $K$ and $N_{ab}$
\begin{equation}
K(x,t)=a_0tR+(a_1 R^2 + b_1 R_{ab}R^{ab}) + \ldots, \label{kexp}
\end{equation}
\begin{equation}
N_{ab}(x) = h_{ab} + 2t(A_0 R_{ab} + B_0 h_{ab}R)
+ t^2( B_1 R_a^cR_{cb} + A_1 R_{ab} R + C_1 h_{ab} R^2) + \ldots,
\label{nexp}
\end{equation}
where \ldots denote the higher order terms which will not concern us,
and $a$, $b$,  $A$, $B$, $C$ are the free parameters to be fixed.

Next we must resolve the ordering ambiguity in the operator
${\cal H}$. To
this end we add the new term $L_{ab}(x)\frac{\delta}{\delta
h_{ab}(x)}$,
where
\begin{equation}
L_{ab}= \alpha h_{ab} + \beta h_{ab} R + \gamma R_{ab} + \ldots
\label{lexp}
\end{equation}
contains free coefficients  do be fixed along with the coefficients
in $K$
and $N_{ab}$. Thus the
final form of the Wheeler--De Witt operator is\footnote{In the paper
\cite{JK} we took $\tilde K_{abcd}(x,x')=G_{abcd}(x) \tilde K(x,x')$,
where $\tilde
K$ was a heat kernel, and $L_{ab}$ was taken to be the functional
derivative of $\tilde K_{abcd}$ with respect to $h_{cd}$. }
$$
{\cal H}(x)=\kappa^2\int\, dx'\, K_{abcd}(x,x';t)
\frac{\delta}{\delta h_{ab}(x)}\frac{\delta}{\delta h_{cd}(x')} +
$$
\begin{equation}
+ \kappa^2 L_{ab}(x)\frac{\delta}{\delta h_{ab}(x)}
+ \frac1{\kappa^2}\sqrt h
(R +2\Lambda).\label{qham}
\end{equation}

To set the stage, we still need to define the action of operators on
states. To this end we must discuss the issue of regularisation
and renormalization. The operator (\ref{qham}) acting on a state
(defined as an integral of a scalar density) produces, in general,
terms
with arbitrary (positive and negative) powers of $t$. This provides
the
regularised version of the operator since all the terms are finite,
and
singularities of the form $\delta(0)$, $\delta'(0)$, etc.\ are traded
for
terms which are
singular for $t\rightarrow0$. Observe that the
singular
part of the action of the operator on a state depends on this state.
 To
renormalize, we follow the procedure
proposed by Mansfield \cite{Mansfield}, based on analytic
continuation,
 which result in the following:
the terms with positive powers of $t$ are dropped, and the singular
terms of the form $\frac{1}{(4\pi)^{3/2}}t^{-k/2}$ are replaced by the
renormalization
coefficients $\rho^k$.  Thus we are given a finite
action of
the Wheeler--De Witt operator on any state.

There is a number of important comments that must be made at this
point.
It is
easy to see that the singular part of the regularised action, and thus
the renormalized action of the Wheeler--De Witt
operator on a state does depend on the state (cf.\ (\ref{eqforV}) and
(\ref{eqforR}) in the Appendix.) This is clearly a natural feature of
any
regularisation technique.   Thus, as already stressed above, the
condition
for anomaly cancellation should be analysed state-by-state.

Next, the coefficients in the regulator
$K$ are metric dependent. This should not be understood as an
indication
that the regulator depends on a background metric. It was observed by
many that a wonderful feature of the metric formulation is that the
metric (and its derivatives) appearing in the commutator is to be
understood as result of action
of the metric operator on a state. But in the metric representation
the
metric acts by multiplication ($\hat h_{ab}(x)| \ast> =  h_{ab}(x)|
\ast>$),  and thus we can always use $h_{ab}(x)$ instead of
$\hat h_{ab}(x)$. Also, the regulator seemingly depends on a
background
structure through the presence of the explicit $x^a$ terms in the
exponents. Such terms are necessarily present in any regulator based
on
point splitting technique. However it will be shown below that there
is
no anomaly in the
quantum mechanical commutator of hamiltonian and diffeomorphism
constraints and this means that the background structure dependence
disappears in the final results.
\newline

Now we can turn to the interpretation of equation (\ref{difham1}).
According to our general philosophy
explained above, we
understand it in the following way. A constraint operator acts on a
state and
after renormalization gives another state depending on
renormalization
constants and the parameters of the regulator. On this resulting
state the
second operator acts. Thus the
formal relation (7) is defined to mean (the state $\Psi$ is, by
definition,
diffeomorphism-invariant)
\begin{equation}
{\cal D}\,({\cal H}\Psi)_{ren}\sim ({\cal
H}\Psi)_{ren},\label{difhamf}
\end{equation}
and, similarly, for the hamiltonian--hamiltonian commutator
\begin{equation}
\left({\cal H}[N]\,\,({\cal H}[M]\Psi)_{ren}\right)_{ren}
- \left({\cal H}[M]\,\,({\cal H}[N]\Psi)_{ren}\right)_{ren}=0
\label{hamhamf}
\end{equation}
for all $M$ and $N$. In the formula above we used
the smeared form of the Wheeler--De Witt operator
$$
{\cal H}[M]=\int dx\, M(x){\cal H}(x).
$$

Let us turn back to equation (\ref{difhamf}). Since the action of
diffeomorphism is standard, it suffices to check that $({\cal
H}\Psi)_{ren}$ is a scalar density. But this is clearly the case: the
first functional derivative acting on a state produces a tensor
density
${\sf T}^{ab}(x')$. After acting by the second derivative and
contracting indices, we obtain the terms of the form
$$
{\sf T}_0(x')\delta(x',x) + {\sf T}_1(x')\circ \nabla^{x'}\circ
\nabla^{x'}
\delta(x',x) + {\sf T}_2(x')\circ \nabla^{x'}\circ \nabla^{x'}\circ
\nabla^{x'}\circ \nabla^{x'}\delta(x',x) + \ldots
$$
where $\circ$ denotes various indices contractions, and ${\sf T}_n$
are
tensor densities. These terms are multiplied by $\triangle(x,x';t)$
and integrated over $x'$. Now we integrate by parts which results in
replacing
covariant derivatives acting on $K$ with appropriate powers of
$t^{-1}$
multiplied by some coefficients. After renormalization we obtain a
scalar density as required. The action of the $L$ term clearly gives
the
same result. Thus
\newline

{\em For the states being integrals of scalar densities there is no
anomaly in the diffeomorphism --- hamiltonian commutator}
\newline

This result is quite important because the anomaly in the string
theory
appears in the diffeomorphism --- hamiltonian commutator. It proves
also
that, in spite of implicit co-ordinate system present in the
construction
of the regulator, the three dimensional diffeomorphisms are not
broken by
quantum corrections.
\newline

Now we turn to the most complicated problem, the hamiltonian
--- hamiltonian commutator (\ref{hamhamf}). Our goal will be to
use this equation to partially fix the  free coefficients in $K$,
$N_{ab}$, $L_{ab}$. These coefficients will be
further fixed by demanding existence of solutions of Wheeler--De Witt
equation. In what follows we will be
interested in solutions of the form $\Psi({\cal V}, {\cal R})$.
Therefore we check explicitly the closure of the
algebra only for the states of this form. We will comment on
the general case at the end of this section.

Let us start with the
simplest state $\Psi=1$. The action of the first smeared operator
gives simply
\begin{equation}
({\cal H}[M]\Psi)_{ren} = \frac{1}{\kappa^2}\int dx\, \sqrt h(x) M(x)
(R(x) +2\Lambda). \label{actionofh}
\end{equation}
Now we have to act on the right hand side of the above equation with
the operator $({\cal H}[N]$, then
renormalize the result, and finally subtract the result of the same
calculation with $N$ interchanged with $M$.
After rather tedious computation one finds in the commutator the
term proportional to $[N,M]^a=N\nabla^a M-M\nabla^a M$ which must
vanish, to wit
\begin{equation}
\rho^{(1)}a_0\frac32\nabla_a R - \left(\nabla_a L -
\nabla_b L_a^b\right)
=0,
\end{equation}
where $L= h_{ab}L^{ab}$. Using Bianchi identity and the expansion
(\ref{lexp})
we find the first relation
between coefficients, to wit (it will soon turn out that \ldots terms
in $L_{ab}$ vanish)
\begin{equation}
\frac12 (3\rho^{(1)} a_0 - \gamma) -2\beta=0.\label{coeff1}
\end{equation}

Now let us turn to the states depending of ${\cal V}=\int_M d^3x\,
\sqrt h$.
Let ${\cal H}[M]$ act on this state. From Eq.\ (\ref{eqforV}) we see
that we
have an equation
which is  of the form
(\ref{actionofh}) (with different coefficients which will include
${\cal V}$.) Therefore
the condition for vanishing of the commutator  is the same as
above, (\ref{coeff1}).

Let us pause for a moment with investigation of the algebra to make an
important observation. We want some $\Psi({\cal V})$ to be a solution
of
the Wheeler--De Witt equation. From the computations above we see that
the double derivative term in ${\cal H}$ will produce terms up to
order
$R$. It follows that, while solving the equation, we would not be
able to
cancel terms of higher
order in $R$ (like $R^2$.) Therefore, all the terms in $L_{ab}$
expansion
(\ref{lexp}) denoted by \ldots \  must vanish. Thus we take
 $$
L_{ab}=\alpha h_{ab} + (\gamma R_{ab}+\beta h_{ab} R),
$$
where the coefficients $\beta$ and $\gamma$ are subject to the
condition
(\ref{coeff1}).

Now we turn to the wavefunction $\Psi=\Psi({\cal R})$.
Let us  analyse the action of the commutator of hamiltonian in a
number of
steps. The first
observation follows from the $\Psi''$ term in (\ref{eqforR}). It can
be
checked that after acting on this term by ${\cal H}[N]$ one obtains a
term proportional to $\Psi'''$ which contains unremovable anomaly of
the
form
$$
[N,M]^a\left(\frac38 R_{ab}\nabla^b R -\frac{3}{16}R\nabla_a R\right).
$$
 Till
this point we assumed that the wavefunction $\Psi({\cal R})$ was
arbitrary, thus anomaly multiplying $\Psi'''$  was to vanish
independently of possible anomalies multiplying different derivatives
of
$\Psi$. But this is, clearly, cannot be accomplished. We thus have no
choice but
to restrict $\Psi$. It would seem that fixing the background geometry
\begin{equation}
-\frac38 R^2 + R_{ab}R^{ab}=0
\end{equation}
would do, but this cannot be done because some external condition may
be
applied only after the commutator is computed, and not at the first
step.
The only way out is to make $\Psi''=0$, or proportional to $\Psi'$
(where the terms quadratic in curvature are already present.) This
means
that either $\Psi({\cal R})=A {\cal R}$ or $\Psi({\cal R})$ is a
linear
combinations of exponents $\exp (\omega {\cal R})$. It should be
stressed
that since solutions we are after will necessarily have the form of
exponents, the restriction we are making is not as severe as it would
seem at the first sight\footnote{It is sufficient to check that there
is
no anomaly in an neighbourhood of solutions.}.
The inspection of equation (\ref{eqforR}) clearly shows that the most
economic way is to take ${\cal B}=-\frac38 {\cal J}$. In this way we
can
cancel the anomaly for arbitrary $\omega$.

It turns out that the anomaly is proportional to
$[N,M]^a$ times a combination of five different tensorial objects. To
cancel the anomaly
proportional to $R_c^b\nabla_b R^c_a$ we must put $B_1=0$. Similarly,
the condition
for the anomaly proportional to $R_c^b\nabla_b R^c_a$ to vanish is
$b_1=0$.
From the conditions for $R_a^b\nabla_b R$ and $(\nabla_a R)R$, and the
equation ${\cal B}=-\frac38 {\cal J}$  we find
expressions for $A_1$, $C_1$, and $a_1$, to wit
\begin{equation}
A_1= - a_0 A_0 + \frac{11}{4} a_0 + \frac{1}{\rho^{(1)}}\left(
\frac54\gamma + \beta \right),
\end{equation}
\begin{equation}
C_1 = - \frac98 a_0A_0 - \frac{29}{16} a_0 - \frac78
\end{equation}
\begin{equation}
a_1=-\frac{29}{66}a_{0}-\frac{9}{11}a_{0}A_{0}-\frac{1}{\rho^{(1)}}
\left(\frac{14}{11}\beta+\frac{37}{33}\gamma\right)
\end{equation}
There is one equation remaining, being a coefficient of $\nabla_a R$
anomaly which relates ${}_0$ parameters to each other:
\begin{equation}
\rho^{(3)}\left( - \frac{3}{16} - \frac{1}{2} A_0 - \frac{11}{8}B_0 +
\frac{1}{2} a_0 \right) - \frac{3}{2}\alpha =0.\label{0coeff}
\end{equation}
We are left therefore with six free coefficients of the regularised
Wheeler--De Witt operator
$A_0$, $B_0$, $a_0$, $\alpha$, $\beta$, and $\gamma$ subject to two
linear equations (\ref{coeff1}) and (\ref{0coeff}).

Thus the final form of the regularised Wheeler--De  Witt operator
which
preserves the constraint algebra is (to linear order in $R$ and with
 included)
$$
{\cal H}(x)=\kappa^2\int\, dx'\, G_{abcd}(x')\triangle(x,x';t)(1+ a_0
tR
+ \ldots)
\frac{\delta}{\delta h_{ab}(x)}\frac{\delta}{\delta h_{cd}(x')} +
$$
\begin{equation}
+\kappa^2 \left(\alpha h_{ab}+ (\beta h_{ab}R
+ \gamma R_{ab})\right)(x)
\frac{\delta}{\delta h_{ab}(x)}+
 \frac1{\kappa^2}\sqrt h
(R +2\Lambda).\label{qhamf}
\end{equation}

The formula (\ref{qhamf}) completes our construction of the
Wheeler--De Witt operator. As compared to the choice made in the
paper
\cite{JK}, where we used the heat kernel and $L_{ab}$ was its
functional
derivative, here we gained much more freedom in the form of additional
free constants. These constant will be further fixed by demanding that
the Wheeler--De Witt equations possesses a maximal number of
solutions,
that is that there are solutions $\Psi({\cal V})$, $\Psi({\cal R})$,
and
$\Psi({\cal V},{\cal R})$.

It is possible to extend the above analysis to the states being
functionals of higher powers of curvatures. To this end one has to add
terms of order $t^3$ to the regulator $K$, compute the commutator, and
fix the coefficients as it was done above. It seems quite likely that
the
resulting equations could be solved. However, the computations are
becoming extremely tedious, and for that reason in this paper we were
not
able to address the question of anomalies for higher states.

\section{Solutions}

From the previous section we know that the most general form of the
Wheeler- De Witt operator satisfying our criteria is given by
equation
(\ref{qhamf}).
Now, employing this operator, we will try to find a class of
solutions of the
Wheeler--De Witt equation. It should be stressed at this point that
we
regard the existence of a maximal possible space of solutions as an
ultimate
condition fixing the operator completely. The reason for is that any
regulator defines a quantum theory with a certain set of solutions.
Clearly, a theory with  richest set of solutions is most interesting.
 Thus our goal is twofold: to
find solutions and to fix the operator as to allow for the maximal
possible number of them.

We will consider  the states of the form $\Psi = \Psi({\cal V},
{\cal R})$. It is clear from the form of the Wheeler--De Witt equation
that the resulting equations, multiplying various scalar functions
will
be linear, therefore, without loss of generality, we can assume that
$ \Psi({\cal V},
{\cal R}) = \exp(\sigma {\cal V} + \omega {\cal R})$.

First we solve the equation for the coefficient $\omega$. From the
part
of the equation involving the square curvature terms,  (\ref{eqforR}),
we see easily that since ${\cal B}= -\frac38{\cal J}$,
$\omega = - {\cal J}=\gamma$. Let
us then turn to the coefficients multiplying $\sqrt h R$
\footnote{Observe
that
in addition to terms presented in appendix, (\ref{eqforR}),
(\ref{eqforV}), there is another term resulting from the action of
second functional derivative, one on ${\cal V}$, and one on ${\cal
R}$. }
\begin{equation}
\kappa^2 \left( \sigma {\cal X} + \omega {\cal Y} -
\frac14\omega\sigma \right) + \frac{1}{\kappa^2}=0,\label{25}
\end{equation}
where
$$
{\cal X} = - \frac{21}{8} a_0 \rho^{(1)} + \frac32\beta +
\frac12\gamma,\label{26}
$$$$
{\cal Y} = \rho^{(3)}\left( A_0 + 3B_0 - \frac32 a_0+\frac78\right) +
\frac12\alpha. \label{27}
$$
The coefficient multiplying the $\sqrt h$ term reads
\begin{equation}
\kappa^2 \left(- \frac38 \sigma^2  - \frac{21}{8}\sigma\rho^{(3)} +
\frac32 \sigma\alpha - \frac32\rho^{(5)}\omega \right) +
\frac{2\Lambda}{\kappa^2} =0.\label{28}
\end{equation}
\clearpage

{\em Solutions with $\Lambda\neq0$}
\newline

We consider three cases:
\newline

{\em Case I}. $\omega =0$. In this case we have
$$
\Psi=\exp(\tilde\sigma {\cal V}), \;\;\; \tilde\sigma =
-\frac{1}{\kappa^4 {\cal X}},
$$
and equation (\ref{28}) gives a condition for the parameters of the
regulator which can be solved for $\alpha$.

{\it Case II}. $\omega = \gamma$ and $\sigma=0$. We have
$$
{\cal Y}=-\frac{1}{\kappa^{4}\gamma}
$$
and the condition relating $\gamma$ to the bare coupling and
renormalization
constants
\begin{equation}
\gamma=\frac{4\Lambda}{3\kappa^{4}}\frac{1}
{\rho^{{(5)}}}.\label{eqforg}
\end{equation}

{\it Case III} $\omega = \gamma$ and $\sigma \neq 0$. We find
$\sigma = 4\alpha-7\rho^{(3)}$ and the condition ${\cal
X}=\frac{1}{4}\gamma$. This
condition can be solved along with conditions from the previous
section
to give expressions for the regulator parameters.

Collecting all results we finally have
\begin{eqnarray}
\Psi_I = \exp\left(-3\frac{\rho^{{(5)}}}{\Lambda}{\cal V}\right) &&
\mbox{Case I};\\
\Psi_{II} = \exp\left(\frac{4\Lambda}{3\kappa^{4}\rho^{{(5)}}}{\cal
R}\right) && \mbox{Case II};\\
\Psi_{III} = \exp\left(-3\frac{\rho^{{(5)}}}{\Lambda}{\cal V}+
\frac{4\Lambda}{3\kappa^{4}\rho^{{(5)}}}{\cal R}\right) && \mbox{Case
III}.
\end{eqnarray}
Observe that solution III is a product of solutions I and II. We will
return to this observation below.
\vspace{12pt}

{\em Solutions with $\Lambda=0$}
\newline

it is easy to see that (assuming $\rho^{{(5)}}\neq0$) in this case the
wavefunction $\Psi = \exp(\gamma {\cal R})$ does not solve the
Wheeler--De Witt equation. Taking ${\cal X}=\frac14\gamma$ as above we
find the solution
\begin{equation}
\Psi_{I_0} =\exp\left(-\frac{4}{\kappa^4\gamma}{\cal V}\right)
\end{equation}
The second solution is of the form
\begin{equation}
\Psi_{III_0} =\exp\left(\sigma{\cal V}+ \gamma {\cal R}\right),
\end{equation}
where $\sigma$ is a solution of the following quadratic equation
\begin{equation}
\sigma^2 + \frac{4}{\kappa^4\gamma}\sigma - 4 \rho^{{(5)}}\gamma=0.
\end{equation}
Depending on the value of
$$
\left(\frac{1}{\kappa^4\gamma}\right)^2 + \rho^{{(5)}}\gamma
$$
we have either two real, or two complex, or one real solution.
\newline

Thus we have three different wavefunctions (for both cases $\Lambda
=0$
and $\Lambda \neq 0$) being
solutions of the Wheeler--De Witt equation and containing functionals
of
order at most linear in $R$. It is very interesting that the solutions
depend on the bare coupling constants $\kappa$ and $\Lambda$ and only
on a
single renormalization constant $\rho^{(5)}$. Of course, any linear
combination (with complex coefficients) of the solution is a solution.
Such combinations will be called below ``Schr\"odinger cat
universes''.
It can be argued that, contrary to the real solutions, complex
solutions will in general possess a nontrivial time evolution.

\setcounter{equation}{0}
\renewcommand{\theequation}{A.\arabic{equation}}

redpajama_set_name: RedPajamaArXiv


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The Magicians are coming back, and here is where I would normally channel my magical homies Margo and Eliot but I probably should not swear. Oh heck, I will anyway! MAGIC IS BACK, B****ES! Well, not quite back, as it's not January and the library is much too political for my taste!


text:
CORRECTION: A New Generation of Mendacity
I swear, folks, I could do this 24/7, and I would still never be able to keep up with all of the mendacity:
I'm a teacher and a union member — and a member of the new majority. Not long after the Chicago teachers strike ended, I had dinner with lifelong Democrats. Instead of support for a revitalized union movement or sympathy for the plight of teachers, the conversation included such comments as: "The last thing teachers unions think about are students," "Teachers unions haven't addressed teacher-quality issues, especially with the weakest teachers" and "Teachers unions have to start focusing on something other than pay and tenure."
Dude, maybe you should have turned to your dinner companions and explained to them that the Chicago strike was not about "pay and tenure"! The CTU and CPS were actually very close on salary before the strike. And tenure was not an issue, as tenure is written into state law. The primary issues in Chicago were merit pay, using tests scores to evaluate teachers, and student learning conditions. It is deceptive to conflate the primary issues of the CTU's strike with "pay and tenure."
The thrust of this piece is to argue that old, burned out teachers (like me, I guess) are in command of the unions, which are keeping young, awesome teachers (like the author, Michael Stryer, I'm presuming) from spreading their awesomeness around the entire public education system.
Apparently, a sign of this new, hip, awesome unionism is the embrace of standardized test scores to evaluate teachers. Never mind the error rates are so high as to make using this method meaningless - even when judging the "Irreplaceables" who are supposed to be so awesome that they will shine no matter what. I guess it's supposed to be an improvement for teachers unions when they accept junk science; veteran teachers are just too wedded to "research" and "facts" and junk like that.
Stryer also points to Montgomery County's PAR program as a case of a "new generation" of union members shaking things up. Too bad he appears to have no idea of how PAR actually works:
The Montgomery County Public Schools system here has a highly regarded program for evaluating teachers, providing them extra support if they are performing poorly and getting rid of those who do not improve.
The program, Peer Assistance and Review — known as PAR — uses several hundred senior teachers to mentor both newcomers and struggling veterans. If the mentoring does not work, the PAR panel — made up of eight teachers and eight principals — can vote to fire the teacher. [emphasis mine]
Thank the lord this new generation of union members is bringing in veterans to change teacher evaluation. Of course, PAR started in Montgomery County in 1999; this "new generation" of union members must have used time machines to start the program back before they were even teachers...
Another of Stryer's signs of a generational shift in teachers unions is the contract recently approved in Newark - a contract negotiated by a 65 year-old man who has been president of the teachers union since the 1970's 1995*.
It seems Stryer could use a little history lesson in unionism. Here's his byline:
The writer, who is on leave as a high school teacher in Los Angeles, is a member of United Teachers Los Angeles and executive director of Teachers for a New Unionism.
TNU is actively encouraging like-minded teachers to take on leadership roles in their unions. I know this will come as a shock, but they are not exactly a grassroots organization:
Future Is Now is grateful for the support from philanthropic organizations dedicated to the amplification of teacher voice in the development of K-12 educational policy. Our supporters include the Ford Foundation, the Bill & Melinda Gates Foundation, the Moriah Fund and individual donors like you. [emphasis mine]
The Gateses! What are the odds?! Looks like TNU picked up a cool half-a-mil from Gates to spread dissension among the ranks of the unions. All so we can use test scores to evaluate teachers. Even as Gates himself backs away from the idea.
Stryer concludes:
The democratic system is at the heart of our unions' governance. The majority of teachers believe that student achievement comes first. It's only a matter of time until all teachers unions reflect that belief — and ardently work to support it.
Well, I do have to admit this: it certainly appears that TNU is making teachers unions more like the American political system. Wealthy plutocrats will soon be backing candidates for local presidents the same way they pay to elect politicians.
I'd love to hear Stryer explain how that puts student achievement first.
Hey, how'd you like to be the next president of your local? I can make that happen, you know...
* My mistake. Tom Moran's profile talks about Joe Del Grosso's involvement in the NTU since 1970, but he didn't actually take over until 1995. But the point stands: he's hardly a "new generation" of labor leader if he's been in the job 17 years.
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A Vested Interest In Selling Our Kids As Failures
The Lawsuit That Might Change Everything
Have An Un-Reformy Christmas!
See? Tenure Cases CAN Be Easy!
God Bless the Education Law Center
Closing Schools: NOT a White People Thing
Campbell Brown: Queen of the Pearl Clutchers
Reformy Pearl Clutchers
Reprehensibility
Marooned In a Blizzard of Lies
Bushmaster Charter School
Why Do Teachers Hate America?
"It's Politicizing If You Disagree With Me!"
StudentsFirst On Concealed Guns in Schools: "No Co...
A Bet For the Star-Ledger: Will Charters Take ALL ...
What Has StudentsFirst Ever Done To Improve School...
Bill Bennett's $10 Billion School Safety Plan
Do We Remember Heroes For Their Test Scores?
UPDATED: Obama & Romney: Bad Schools Cause Gun Vio...
Proud To Teach
His Majesty Eli Broad, King of New Jersey
International Test Score Freak Out!
Great News for Newark and Neptune, NJ!
The Tall Tales of Wendy Kopp
The Most Obvious Thing In The World
Put Up The Proof, TFA
Great Moments in Reformy Tantrum Throwing
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What You Need To Know About the NJ Charter School ...
KIPP: The New "Old Boys Network"
Chris Christie: Divisive Hypocrite
Joel Klein: Shameless
StudentsFirst: Wrong About Newark AND Chicago!
Hiring Mercenaries to Police Schools Teaches Compl...
Chris Christie and The Death of Hope in Newark
Corporate "Reformers" Make Teaching a Temp Job
Triumph Of the Incompetent
George Carlin on Education
Wimpy, Hypocritical Rep Govs Scared of Teachers
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Reformy Maniac Ben Chavis Update


What's new on Sportsinsights.com: Check updates and related news right now. Sports Insights has already delivered a few fresh articles to 351K users this month. It is generally safe for browsing, so you may click any item to proceed to the site.


The winners of the second Energy Transition Trophies organized by L'Usine Nouvelle were unveiled on June 7, 2016. They were selected from the 21 nominees (out of 130 folder) by a jury of professionals and journalists chaired by Marie- Christine Korniloff, WWF France's Director of Economic Affairs.
NewGeneration-SR, for its NUVEA platform, won the "digitization" award.


The mere reference to taxes frequently inspires fear within the minds of taxpayers. Whether you are a person or perhaps a small business owner, filing a taxes is one thing you can't simply avoid. That old days when anybody could complete an easy return are fast disappearing. This is also true for those who have an elaborate return, multiple streams of earnings or intend to take several deductions. Tax help for business proprietors is really a critical necessity to make certain quarterly and finish of the season taxes are files precisely. Familiarizing yourself with the advantages of professional tax preparation can help you determine if it is the solution you're looking for.
When occasions are financially tough, every dollar counts. As a result, investing in a tax specialist may appear impossible, even though you begin to see the benefit by doing this. However, you might be surprised to understand that the price of getting a professional might be tax deductible. The mileage expended they are driving back and forth from your agent, postage for mailing tax forms to her or him, in addition to, the price of the preparation itself all can be deducted in case your expenses total 2 percent or even more of the adjusted gross earnings. These kinds of deductions are thought miscellaneous and really should be reported on Plan A of IRS Tax Form 1040. Make sure to have your accountant itemize your deductions if you wish to utilize this tax break. Not just that, but accounting professionals generally learn about deductions you will possibly not be familiar with to allow them to get improve your deductions, therefore cutting your taxed earnings.


Please call our office at any time to request an appointment. If, for any reason you cannot keep a scheduled appointment, or will be delayed, please call us as soon as possible.
Your insurance benefits are decided between your employer and the insurance company. Many needed services may not be covered. Our office will do everything possible to help you understand and make the most of your dental insurance benefits. As a courtesy, our office will complete and submit your insurance forms to achieve the maximum reimbursement to which you are entitled. Please remember that you are ultimately responsible for all expenses incurred. We urge you to read the policy so that you are fully aware of coverage and any limitations of the benefits provided.
The estimated balance due after insurance reimbursement is due from the patient the day services are rendered.
Financial options are discussed during the initial visit. We accept cash, check, Discover, Visa, Master card and American Express.


My definition of DE is institution-based education or corporate-based learning where most of the learning group is separated, and where telecommunications systems are used to connect learners with their instructors, other students, business associates, and colleagues.
The widely-accepted definition for DE is "institution-based, formal education where the learning group is separated, and where interactive telecommunications systems are used to connect learners, resources, and instructors" (Schlosser & Simonson, 2009, p.1).
Clark argues that "it is instructional design and not media that contribute to learning" (Shaughnessy, M., Fulgham, S., & Clark, R., 2009, p. 43); media are "mere vehicles" that deliver the instruction (Clark, 1983, p.445).
Reflection: At first, I totally disagreed with Clark's "mere vehicles" argument. My perception has slightly changed, as I now understand that content is the biggest influencer of learning, and not the technology. However, it is important to respect technology for it's support of DE. It's also importnat to note that the rapid growth of DE technology continues to challenge and evolve the definition of DE (Simonson, Smaldino, Zvacek, 2015). My definition of DE has slightly changed. I would incorporate OER resources into the definition, such as MOOCs. Also, I would remove the words "institution" and "corporate-based learning" and replace it with "organized learning and education".
Student to teacher interaction focuses on classroom dialogue between students and teachers/instructors. The instructors goal is to stimulate and keep the interest of the student, as well as motivate the student to learn (Moore, 1989). Asynchronous DE courses often lack this interaction, which is crucial to student success.
Lack of freedom to change course content and increased time to design online courses are two drawbacks to teaching online (Martinez, 2006).
Institutions are forced to decide how best to spend their budgets. Do they allocate resources to telecommunication systems or should they further invest in traditional infrastructure? The trend is leaning more towards telecommunications (Simonson, Smaldino, Zvacek, 2015).
Reflection: As a DE administrator and online instructor, the biggest hurdles for DE include the lack of student to teacher interaction, lack of freedom for DE faculty, and institutions' allocation of resources. As an asynchronous online instructor, lack of freedom to change course content is a drawback. I often feel like a course facilitator, rather than an instructor. In my opinion, institutions should expect online instructors to contribute more original content. This keeps the course fresh and ensures the instructor is engaged. The lack of student to teacher interaction remains an issue in asynchronous courses. The answer to this problem could be for DE programs to adopt more synchronous course instruction. Lastly, institutions have a hard time determining where to allocate their resources. Should they invest more in their DE program? Or, should they invest in traditional infrastructure? Either way, the process of determining budget allocation is often unclear, as DE continues to grow faster than institutions can keep up.
MOOCs have managed to evolve the concept of OER by gathering together teachers and students/learners around courses built on materials that are typically published using open licenses (Yuan &Powell, 2013).
Advancements in technology make effective educational experiences possible for learners, regardless of where they are located. Research has shown "when new technologies emerge, they often allow users to be more efficient (Simonson, Smaldino, Zvacek, 2015, p.13).
There is an equivalence of distance education programs to traditional programs (Martinez et al., 2006). Distance courses present the same level of challenge to students as traditional courses (Martinez, 2006).
Reflection: In my opinion, the biggest possibilities for DE are the incorporation of MOOCs into DE programs, improved equivalency, and continued technological advancements. MOOCs can have a viable future in DE and traditional college settings. MOOCs can be presented to potential students as a way to investigate their major or concentration, without the added cost of "trying out" a course. Initially, colleges and universities would lose some profits; however, this investment in student major and program satisfaction should help with overall retention. One MOOC course could spark a student's interest in a subject area they never considered. DE enrollment coaches and advisors could uses MOOCs as a tool to encourage and retain students who feel college may have been a mistake. Sometimes all a student needs is a point in the right direction. Also, transferMOOCs seem to be the most responsible option to present to students. At least the course material is vetted and has been applied to traditional learners. Also, I believe improved equivalency of DE to F2F traditional courses is possible. While researchers have said there is already equivalency, there is still an opportunity for growth to narrow the gap. I believe this possibly goes hand in hand with technological advancements. As companies like Blackboard, Cisco, and Adobe continue to tap into ways to create a better online learning experience, the distance between instructors and students will continue to decrease.
A consistent advantage of DE is the "improved flexibility that teaching online offers an instructor" and their students (Martinez, 2006, p.272).
The growth of distance education often exceeds the expectations of educational planners. Over 30% of college students are enrolled in an online course (Simonson, Smaldino, Zvacek, 2015).
Students prefer to learn face-to-face, yet they also demand to be permitted to learn at a distance (Simonson, Smaldino, Zvacek, 2015).
Reflection:In my opinion, flexibility is by far the biggest advantage of being an online instructor and student. Flexibility of proximity to the university and class times makes online teaching appealing to adjuncts and full-time faculty looking to open up their schedule. While most online schools require an instructor to have office hours, these hours are often virtual. Students also benefit from the option of taking course online vs. F2F. An online course is the only feasible way for some non-traditional students to pursue a college education. The rapid growth of DE is also very promising. While I do not believe DE will exceed F2F enrollments, I do believe DE will eventually match F2F enrollments within the next decade.


text:
Q: Resuming interrupted spinrite session Everytime I interrupt my spinrite session, it prompt me with a percentage telling me that I could resume the session at the point of interrupt, this is all great but I never knew how to resume it.
As the drive get larger and larger, more often than usual my spinrite would complete it stuff overnight like it use to.
Can someone please tell me how I could resume it with the percentage i was prompted.
Thanks in advance.

A: From the manual.

Command Line Options
SpinRite may be started by following the "SpinRite" command with a
  number of optional "command line" keywords to cause its normal
  operation to be altered in a number of ways.
...
Resume
When operating under "Auto" mode, SpinRite normally ignores
  whether any partitions might have been interrupted in the past and
  performs its work from the beginning of each hard disk partition, rather
  than resuming where the prior work was suspended. The "Resume"
  keyword causes SpinRite to pick up where it left off from the point of
  interruption on those partitions that had work suspended.
Example
The command line below will run SpinRite on partitions C: and D:,
  resuming operation on those partitions that had previously been
  suspended at depth level 7, without requiring interaction from the user:
A:SPINRITE Auto Resume Drive C: D: Level 7 (Enter)

redpajama_set_name: RedPajamaStackExchange


Everything below, except those noted with and *asterisk, were Record Store Day purchases last Saturday at Good Records.
*DEAD MEADOW – Three Kings Cd & DVD (artificial army) – The band releases the obligatory live album with a few new tracks and an accompanying DVD. The DVD, "Three Kings" follows the members on a spiritual and psychedelic journey through the fields, deserts and shady parts of the underworld.
*DISFEAR & DOOMRIDERS – Split 7" (deathwish) – 2008 split on Cream & Black vinyl. Sleeve doubles as a fairly large poster.
FUCKED UP – Daytrotter 7" (matador) – 11 variant covers for Record Store Day. I found 6. More info.
HAPPY BIRTHDAY – Shampoo/Alien 7" (sub pop) – Pressed in a run of 1,750 copies.
V/A – Trouble In Mind Records – 4-Way Covers Split 7" – Label release of four covers by Ty Segall (doing Bob Segar), CoCoComa, The White Wires and Charlie & The Moonhearts. White vinyl, 1,000 pressed and hand-numbered.
This entry was posted on April 21, 2010 at 12:10 am, filed under News and tagged Recently Acquired.


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Update: Funding from NEH for Educators Impacted by the Coronavirus
March 30, 2020 by JMC
The National Endowment for the Humanities (NEH) addresses the COVID-19 pandemic and what to do if your NEH funding and/or application has been affected.
higher educationgovernmentpublic educationresearch grantsNational Endowment for the HumanitiesFundingU.S. Department of Educationgrantscoronavirus
National Endowment for the Humanities: Funding from NEH for Educators Impacted by the Coronavirus
The National Endowment for the Humanities (NEH) has recently released a a FAQ page for those applicants and grantees impacted by the coronavirus. The document addresses frequently asked questions related to NEH funding under the Coronavirus Aid, Relief, and Economic Security (CARES) Act and the Office of Management and Budget memo M-20-17 "Administrative Relief for Recipients and Applicants of Federal Financial Assistance Directly Impacted by the Novel Coronavirus (COVID-19) due to Loss of Operations." The page addresses:
Eligible cultural organizations and humanists affected by the coronavirus seeking funding
Applicants for regular FY20 NEH funding opportunities
Current NEH grant and cooperative agreement recipients seeking administrative flexibilities and supplemental funding
About the National Endowment for the Humanities
The National Endowment for the Humanities (NEH) is an independent federal agency created in 1965. It is one of the largest funders of humanities programs in the United States. NEH promotes excellence in the humanities and civic education. The endowment accomplishes this mission by awarding grants for top-rated proposals examined by panels of independent, external reviewers.
Learn more about the National Endowment for the Humanities >>
Follow us on Facebook and Twitter for updates about lectures, publications, podcasts, and events related to American political thought, United States history, and the Western tradition!
Want to help the Jack Miller Center transform higher education? Donate today.
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Next: James Ceaser on U.S. Presidential Selection


One thing I forgot to mention is that about 6 months ago I made the leap to Linux from Windows XP… in particular Ubuntu Hardy Heron. It's been an interesting few months, and while I've made an effort to try and find suitable replacements for all my windows apps, I still have a few that I can't seem to ween myself off of just yet. However, I have my machine configured to dualboot, and Thunderbird is great as I share the same storage directory between windows and linux, meaning I'm always up to date with my emails regardless of which OS I'm using! Now for those periods when I don't have to do something for an extended period in windows I've setup an XP virtual machine in Virtualbox OSE. It does the job rather well, and I can just save the machine state and restart it in about 15sec whenever I need it.
All content © Copyright 2017 The Metal Net, unless otherwise stated.
Steal it and we'll hunt you down and beat you to death with a feather boa.


Making the cross-over from strictly a tournament team for the first time this summer, the GSSC (Greater Sudbury Soccer Club) Impact U15 Boys have endured a challenging entry into CSL (Central Soccer League) play.
In their first three games of the year, the locals were outscored by a combined margin of 17-0. Eight games into the season, coach Steph Legrand and the lads not only had tasted defeat eight straight times, they had yet to score a goal. The encounters, however, were much closer, showing signs of what was to come.
On July 14th, the team shook the collective monkey off their backs, breaking the goose-egg, albeit still on the wrong end of a 6-2 setback to Wexford. A week later, the Impact would collect their first point of the year, playing to a scoreless draw with King United. One more loss would ensue, as the boys prepared for a two game home stand last weekend.
Their resilience and commitment to improvement would finally pay dividends.
On Saturday, the GSSC crew would earn a 1-1 tie with USC Karpaty, an opponent that currently holds down fifth place in the 17-team circuit with a record of 7-2-1. The next day, the Sudbury reps were not to be denied, registering a solid 4-1 victory over Markham (2-7-2) and validating, to some extent, the belief in them from the team staff.
To boot, the CSL schedule maker did the Impact no favours. As it turns out, hindsight being 20/20, the early portion of the locals schedule was over-loaded with top end opponents, with the team finding adversaries with much greater parity in the latter stages of the summer, something they simply would not have known entering their inaugural season of play.
"The boys knew that there would be teams that were superior to us, but that there were some that were closer to the GSSC, in terms of numbers and quality," said Legrand. Through it all, the former captain of the Cambrian Golden Shield trusted the process. "Our team has always been a very defensive minded team, so we could keep things relatively close against some of the bigger teams," he noted.
"The big thing was when we scored our first goal of the year. That was something that our team had really struggled with." Thankfully, the Impact U15 squad is blessed with some absolute character individuals, those players who teammates rely on to keep the faith through thick and thin.
On a weekend of positives, Gervais might have been the best "feel good" story of all. His recreational soccer background amounted to playing in what is essentially a pick-up fun-first gathering at McFarland Lake Playground on a weekly basis. Attending Holy Cross Catholic Elementary School, the now 15 year old met some future teammates, eventually enticed to join in the fight midway through the 2017 schedule.
With their recent string of success, the Impact are now looking at a possible jump in the standings. Their 16th place residence is well within striking distance of at least two to three more teams, with a big match-up against North York Hearts (3-6-2) kicking off their final three game stretch for the summer.
The Impact will play host to the Hearts on Saturday at 2:00 p.m. at the Delki Dozzi Sports Complex, back on the road on September 9th when they battle Markham before closing things off against an undefeated Woodbridge side one week later.
In other GSSC news, the Impact U13 boys picked up perhaps their biggest win of the year, capturing the HDSL (Huronia District Soccer League) Cup with a 3-0 win, in Orillia, over the #1 ranked Barrie Spirit.
Demonstrating continuous progress over the course of the past few months under the guidance of head coach Nick Mancini, the Impact wasted little time setting the tone in this contest, breaking the ice just 11 minutes in as Nicholas McGee tapped in a volley from the corner.
Nearing the end of the opening half, it would be Nathan Cranston who would break through the central mid, following a lovely combo with the Impact midfielders, doubling the Sudbury advantage.
With the Spirit now on the ropes, the locals finished the task at hand as Luca Strangis drifted a shot from some 35 yards out that sailed up and over the Barrie keeper. A pleasant surprise at the other end of the pitch, Austin Rocca filled in admirably for GSSC starter Matthew Bodnar, with Rocca earning a second consecutive shutout in his absence.
"He was on his game, looking confident all game," said Mancini. "Austin moves very well in goal, staying one step ahead on through balls. It was a very impressive game for him." Not that the back-up netminder was the only player drawing praise from Mancini.
"The win was a true team effort," noted the long-time coach. "Braydon (Ethier-Perras) and Blake (Rosener) have been rock steady players on our back-line for the whole season. And in this game, the defensive group effort - Carter (Grenier), Julian (Mariotti), Malcolm (Teddy) and Santi (Santiago Campbell-Martinez) - was very effective in getting the ball out of danger quickly."


The Juanita location was our second Eastside Pagliacci Pizza. Proof of the excitement about Pagliacci was evident in The Seattle Times readers poll which awarded Pagliacci "Best Eastside Pizza" in both 1999 and 2000. When we moved into the neighborhood, the area was considered the "sleepy end" of Juanita. But now the area is full of life. With a renovated Juanita Beach Park and development allowing for more businesses, restaurants and dwellings, the once quiet neighborhood is now a hive of activity.


text:
By Jeff "Laca" Conway
Welcome to our new website! After 13 years, it was time for a new look and concept.
Our new domain new is pelotapress.com – a name being pulled out of the past. The original name, "Pelota Press" was used by Mark "Joey" Fox in the late 1980s when he printed up his own jai-alai newsletter. I resumed it on June 22, 1989 with a typewritten version that had a distribution of ten. A copy of it can be seen here and a copy of it is hanging in my museum.
The NJAA has a new logo along with a whole new look and concept. Instead of focusing on what's left of the St. Pete amateur court action, we are turning to jai-alai news in both professional and amateur venues in North America. I will be inviting over 30 people to become regular bloggers on this site with the goal of having fresh new stories going up all the time. We would like stories on what's going on at Dania jai-alai, Magic City along with the amateur courts like Matt's in Berlin Connecticut, North Miami and St. Pete. Any updates on the potentially new Edgewater and Pompano jai-alai frontons would be great to follow along with what is going on with Miami, Calder and Ft. Pierce frontons. We will also have stories by jai-alai betting expert "Straymar" who also introduced a new jai-alai called "sayhili.com". Be sure to check it out.
Check out the new "Jai-alai Chronology" link with perhaps the best one ever researched and produced. There may be changes required if there are any inaccuracies or additions that should be added.
Also check out the new "J Laca Museum" link. With the recent addition of artifacts from the Mark K collection, the museum has for the second time this year, a whole new look.
We have taken all the main stories from the old NJAA site and condensed it to one lone link.
The old original NJAA site will remain at national-jai-alai.com and tampabayjaialai.com.
We also acquired another domain name, seminolejaialai.com that will cover more extensive news when the J Laca court is complete.
July 1, 2020 /by Pelota Press
Jai-alai: It's All in the Stats


Learn how the Alpha Rho Mu Chapter at Lone Star College-Tomball in Texas clinched the Most Distinguished Chapter title two years in a row.
The keynote speaker reflects on his Phi Theta Kappa experience in National Harbor and the members he met.
NerdNation 2016 is Over — Now What?
Keep the momentum and excitement going with these tips from award-winning chapter advisors.
Awards were presented during the Second General Session of NerdNation 2016.
Six NerdNation 2016 attendees will receive $350 in scholarships.
The session opened with a parade of scholarship winners and featured a presentation by President and CEO Dr. Lynn Tincher-Ladner.
These students will serve in the highest leadership positions available to Phi Theta Kappa members.
Alpha Rho Mu Named 2016 Most Distinguished Chapter!
This is the highest honor given to a Phi Theta Kappa chapter.
The Third General Session also brought recognition of Individual Hallmark Award winners.
Elections were held for the Association of Chapter Advisors, the Board of Directors Regional Coordinator Representative and the Alumni Advisory Council.