text:
More efficient operations and 20% inventory reduction with the Plex Manufacturing Cloud.
Inventory Visibility and Control
Not only did Wisco eliminate annual physical inventory count but they gained real-time visibility into operations. (3:42)
Reduced overall inventory by 20% and raw material inventory by 15%.
Shop floor operations are more efficient with live scheduling and insight into production.
Greater inventory control on what's in stock as well as what is at subcontracts and on order.
One, comprehensive ERP system with built-in quality and EDI has improved communication and turned compliance into an operational strategy.
Wisco Industries is made up of two divisions at three locations totaling 300,000 square feet of manufacturing and assembly operations. The Metal Stamping and Fabrication Division, founded in 1946, supplies OEMs in many industries with precision metal stampings, fabrications, sub-assemblies, and complete products. The Food Service Equipment Division, established in 1968, manufactures and distributes pizza ovens, convection ovens, and heated merchandisers. Manufacturing facilities are located in Oregon, Wisconsin (Headquarters) and Cullman, Alabama.
Business Challenges:
Multiple systems, like quality documentation and EDI, did not interface with the company's on-premise ERP system making it difficult to meet customer demands.
Lost production time due to upgrading locally-hosted ERP software and database servers.
Costs to upgrade to the current ERP version and add more users became prohibitive.
Annual physical inventory processes were manual, labor-intensive, time-consuming, and not accurate.
Solution Benefits:
One, comprehensive ERP system with built-in quality and EDI that makes communication and compliance an operational strategy.
Always current, versionless software with unlimited users and no additional IT infrastructure investments.
Reduced overall inventory by 20% and raw material inventory reduced by 15%.
More efficient shop floor operations with live scheduling and insight into production.
Losing production time to upgrade a complex ERP system is something that would make any manufacturer cringe. Yet, it happens. But for Wisco Industries the pain didn't stop there. Along with the complicated upgrades, the company also had a lot of external systems that didn't interface at all—like quality documentation, SPC, and even human resources information like employee vacation time.
Wisco Industries is made up of two divisions: one that manufactures food service equipment and the other does metal stamping and fabrication. When customers requested capabilities like integrated quality and EDI, that's when the company knew it needed a new ERP.
"We were looking for a system that would not only get rid of all these little islands of information but also something in the cloud," said Bob Hartung, Director of Information Technology.
Wisco came across the Plex Manufacturing Cloud in Fabricator Magazine, and what stood out about the system was a unified database.
"When we were first looking at Plex, I was impressed because everything seemed to be self-contained within the system. Centralization of data, EDI, the portals—all these things improve communication and build relationship with the customer where needed," said John Brayshaw, Operations Manager.
A Great Partnership (Control+M)
Soon after connecting with Plex, the Wisco team met Patti Nowak from Control+M Solutions, LLC.—a former Plex customer turned consultant. Patti and her team guide manufacturing companies through Plex implementations leveraging solution architect experience and expertise to ensure a successful outcome.
"Wisco really focused on their implementation project and had excellent leadership with the core team and upper management that encouraged discipline and thoughtful work. Those qualities when you're managing a project are key—especially with an ERP change," said Nowak.
Wisco saw the value the Control+M team brought to the table in helping the company focus on optimizing its Plex implementation.
"Patti was the captain of the ship leading us in the right direction. We didn't have a person like Patti on our team and needed her to come in and kind of steer us in that area. It's been really helpful," said Mike O'Malley, Controller.
"I think the teamwork between Wisco and Control+M is why we came up with such a great solution that's positively impacted their business. The adage, 'Plan the work and work the plan,' was really well executed at Wisco."
Smoother Shop Floor Operations
The live scheduling and visibility Wisco gained with the Plex Manufacturing Cloud has had a great effect on shop floor operations. Employees are using the Control Panel to record production of all materials, and this has dramatically improved efficiency.
"Materials are now flowing better through the shop floor instead of having all this inventory sitting there waiting for something to happen. Plex has definitely made us more efficient," said John Brayshaw.
Now the company can use live scheduling to respond quicker to customer requests without affecting other customer orders or stopping and re-starting production. Wisco can see at any moment what's being done at any workcenter on the shop floor, who the employee is, levels of production rates or quality, and the checks that are in progress or completed.
"A big improvement that I see with Plex is the fact that we can do live scheduling. We can now move a job and schedule it in front of another job at a whim or a customer's request. We couldn't do that before."
Tighter Inventory Control
As the company has seen inventory move more efficiently from each step in the production process, inventory control has improved. Gone are the days of the annual physical inventory that involved manually tagging up to 9,000 materials—and spending the Fourth of July holiday weekend in the warehouse. No more searching for materials on the floor that could last up to 20 minutes to locate something.
For Wisco, tighter inventory control has resulted in less inventory on the shop floor, better material handling, and faster lead times. The company can also leverage buying power with its suppliers. Instead of purchasing one material at a time, Wisco can place an order for multiple items from one supplier to drive costs down.
"What surprised me after we implemented Plex was more accurate close-out and costing. On the sales side, I've been able to hold our pricing without an increase due to that fact that our close-outs are more accurate and our costs of goods are better now than in our previous system," said Ryan Kjellstrom.
"Our inventory is down at least 20%, and our finished goods and raw material inventory is down by 15%. We're reducing our inventory, and our cash flow is the best it's ever been by far."
A More Competitive Company
No matter what happens within the manufacturing industry, Wisco feels ready to respond. Mike O'Malley says most of that is out of the company's control but Plex puts Wisco in a much better position to boost sales.
"Better quality, more efficiencies, and enhanced communication. All those things help us build better relationships with our customers—and that's what Plex gives us. At the end of the day, I think it's going to make our future brighter and more competitive as we go forward," said O'Malley.
Related Wisco Industries Videos
Customer Data at their Fingertips
Meeting demands of your customers is important. See how Wisco Industries leverages the Plex Manufacturing Cloud to respond to their customers' needs. (0:55)
Inventory Reduction
Since going live with Plex, Wisco Industries has realized a 20% overall reduction in inventory. Spending less on inventory means they can spend more elsewhere. (0:50)
Managing Quality and Accounting in One Reliable System
Prior to Plex, Wisco managed quality, accounting, and production in separate systems. Now, they manage it all in the cloud. (1:00)
Contact us for a product demo.


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This article was published more than 1 year ago
Peloton stock plunges following report it will halt production
CNBC, citing internal documents, says the company will hit pause amid slowing demand for its bike and treadmill
By Aaron Gregg
Updated January 20, 2022 at 4:13 p.m. EST|Published January 20, 2022 at 2:32 p.m. EST
A Peloton bike for sale at in Dedham, Mass., last year. (Adam Glanzman/Bloomberg News)
Peloton stock lost about a quarter of its value Thursday after CNBC reported that it would halt production of its signature connected bikes and treadmills amid slowing demand.
Citing internal documents, the news outlet said the company would pause production of its Bike for two months starting in February. It will extend an earlier production freeze on its more expensive Bike+, and it won't produce its Tread treadmill for six weeks, CNBC reported.
The stock pared some of its losses before falling again. It closed at $24.22, down nearly 24 percent. The share price has tumbled 84 percent the past year.
Late Thursday the company published a letter chief executive John Foley had written to employees, in which he criticized "leaks containing confidential information that have led to a flurry of speculative articles in the press." He added that the company had identified a leaker is moving forward with legal action.
In the letter Foley said: "rumors that we are halting all production of bikes and Treads are false," although he did hint at production changes.
"We feel good about right-sizing our production, and, as we evolve to more seasonal demand curves, we are resetting our production levels for sustainable growth," Foley wrote.
Peloton was among a cadre of fitness-minded companies that benefited in the early days of the pandemic as consumers looked for new ways to work out at home. It ended 2020 playing offense, as it announced a $420 million acquisition of the equipment maker Precor that would add some 625,000 square feet of manufacturing space, including factories in North Carolina and Washington state.
But the company's fortunes took a turn in 2021 as large swaths of the workforce returned to the office and in-person gyms. Sales cratered. And those who already owned Pelotons began using them less: The company's average number of monthly workouts per subscriber dropped from 26 to 16 over three quarters, according to a letter to shareholders.
The company ran a net loss of $376 million on revenue of $805 million in the quarter ended Sept. 30, 2021.
It projected sales from $4.4 billion to $4.8 billion in the year ending June 30, a guidance that was edited down by roughly $1 billion from a previous estimate. It releases its next quarterly results on Feb. 8.
In its November earnings call, executives said its Tread treadmill would be a growth engine for it moving forward despite the return to gyms and an earlier product recall, and the company launched a fall marketing campaign to hype the product.
Meanwhile, the company is looking to cut costs to improve its financial condition over the next year. In a Nov. 4 call with investors, Chief Financial Officer Jill Woodworth said Peloton would make "significant adjustments to hiring plans" across the company, as well as revamp its product development teams and showrooms.
Everybody's Business
The basics of personal finance, like "How to save for a house." Figure out your next step toward financial freedom.
Do you have pressing tax questions? Ask Michelle Singletary.
Advice|Three moves to get your tax refund faster in 2023
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redpajama_set_name: RedPajamaCommonCrawl


It happened. Pictures are worth a thousand words, but there's no real denying what happened in the video.
After, Jay-Z left the Met Gala in one vehicle, while Beyonce and Solange left in another.
That same guy was fired from his job from the hotel.
Long story short, keep speculating world. As usual, Jay and Bey will keep letting you and your speculations will probably help earn them a nice piece of change in the process. Maybe this time, Solange will get a cut ;-).


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Discrimination in 20th Century
: Explain the practice of discrimination and the passage of discriminatory laws in the United States and their impact on the rights of African Americans, including the Jim Crow laws and the ruling in Plessy v. Ferguson.
Traditional Lesson
Career Explorations!
Law, Public Safety, Corrections & Security | Career Explorations
Equity in Education
1. What is discrimination and who worked to fight against discrimination?
2. Was discrimination legal? What laws impacted its legality?
White Water by Michael Bandy
The Other Side by Jacqueline Woodson
The School Is Not White! by Doreen Rappaport;
New Shoes by Susan Lynn Meyer
Newsela.com articles:
Primary Source: Plessy v. Ferguson
Jim Crow and the Great Migration
5-1 The student will demonstrate an understanding of Reconstruction and its impact on the United States.
Reconstruction was a period of great hope, incredible change, and efforts at rebuilding. To understand Reconstruction and race relations in the United States, the student will utilize the knowledge and skills set forth in the following indicators:
5-1.2 Explain the effects of Reconstruction, including new rights under the thirteenth, fourteenth, and fifteenth amendments; the actions of the Freedmen's Bureau; and the move from a plantation system to sharecropping.
Lesson Created By: LaurenBenton, Jarvais Jackson, CEEAAS teacher
Lesson Partners: Center for the Education & Equity of African American Students (CEEAAS)


So what is Self Awareness?
It is simply 'knowing who you are' and understanding why you think, feel and behave the way you do.
Why is it so important? Because without it you are doomed to repeat the same old mistakes you made last week/month/year. Without it you can never get out of your own way and breakthrough the internal barriers to your own growth.
The three most skillful ways to increase your self awareness are to 1) learn to be "mindful". This is a special type of awareness practice which teaches you to recognize not what your are thinking but how your mind works. It teaches you to understand when you are caught in destructive patterns of thought and to be less attached to this thinking. Meditation practices are the best tool to develop mindfulness. 2) To give yourself a powerful, compassionate, wise no excuses type coach/mentor. 3) To surround yourself with a group of peers who will give you honest feedback.
Self-awareness requires honesty and courage. It is not easy to get in touch with what we are thinking and feeling and to face the truth about ourselves. Exploring our inner core is not for the faint hearted. The benefit however, is true freedom and peace of mind.
Self-management and empathy are prerequisites for being able to handle and inspire emotions in other people. Without this leaders will struggle to establish sustainable, authentic relationships.


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Q: Python Encode Special JSON characters when string contain regex? Does anyone know of a way to get json.dumps to properly encode a string that contains a regular expression?  Or if there is an alternative way to encode data for a JSON payload that doesn't utilize json.dumps that will correctly handle this?
For example:
import json
MyString = 'regex "Network\sInformation:[\s\S]+?Workstation\sName:\t+(?<src_host>[^\r]+)"'
data = {}
data['MyString'] = MyString
data['date'] = '2017-09-18T11:28:06'
json_data = json.dumps(data)
print json_data

Will generate:
{
    "date": "2017-09-18T11:28:06",
    "MyString": "regex \"Network\\sInformation:[\\s\\S]+?Workstation\\sName:\t+(?<src_host>[^\r]+)\""
}

However, you'll notice that the [^\r] isn't properly escaped, should be [^\\r], which when processed by the API results in a parse error.
In the end, the JSON payload I am building here will be submitted to a web API using requests, similar to this:
requests.post(url, auth=(uname, passwd), data=json_data, headers=headers)

Note:  I have considered simply creating a function that issues a bunch of replace commands to manually encode this myself, and this is my plan B at the moment, but I am hoping there is already a solution/module out there that I can utilize to do this.

A: Your regex definition is flawed, not the JSON output:
>>> MyString = 'regex "Network\sInformation:[\s\S]+?Workstation\sName:\t+(?<src_host>[^\r]+)"'
>>> MyString[-5:-4]
'\r'
>>> len(MyString[-5:-4])
1
>>> print(MyString[-5:-4])  # produces an empty line

You defined a carriage return, not a separate backslash and r character; Python interpreted the two as an escape sequence. JSON then encoded that carriage return with \r too:
>>> import json
>>> chr(13)  # ASCII code 13 is a carriage return
'\r'
>>> print(json.dumps(chr(13)))
"\r"

Use a raw string literal instead:
MyString = r'regex "Network\sInformation:[\s\S]+?Workstation\sName:\t+(?<src_host>[^\r]+)"'

Now you have two separate characters, \ and r:
>>> MyString = r'regex "Network\sInformation:[\s\S]+?Workstation\sName:\t+(?<src_host>[^\r]+)"'
>>> MyString[-6:-4]
'\\r'
>>> len(MyString[-6:-4])
2
>>> print(MyString[-6:-4])
\r

and those two characters produce your expected JSON output:
>>> import json
>>> print(json.dumps(MyString))
"regex \"Network\\sInformation:[\\s\\S]+?Workstation\\sName:\\t+(?<src_host>[^\\r]+)\""

redpajama_set_name: RedPajamaStackExchange


Souled American is an American alternative country band from Chicago, that was active mostly in the late 1980s and early 1990s. The band has its origins in Normal, a college town in central Illinois and revolves around vocalists Chris Grigoroff (also guitar) and Joe Adducci (also bass) who previously played in a band called The Uptown Rulers. Souled American recorded four albums for Rough Trade Records, which initially stirred a modicum of critical and popular attention both in North America and Europe. In 1991 drummer Jamey Barnard left the band, and in 1992 the band released its fourth album (and last for Rough Trade),"Sonny," eight of the ten songs on which are cover tunes. After four albums, a tour with Camper Van Beethoven, and a wealth of critical acclaim (though very little commercial success — one Rough Trade employee later claimed, "The band sold less and less records with each consecutive release") Rough Trade folded and Souled American seemingly disappeared. The band re-emerged in 1994 with "Frozen" and 1997's "Notes Campfire", both released on the obscure German label Moll Tonträger. Sometime after 1996 guitarist Scott Tuma also left the band leaving the duo of Adducci and Grigoroff still intact. The remaining two members have since made sporadic appearances in their hometown and brief tours including shows in New York City, Chicago, and Ohio but new studio material has been sparse. A re-release of their first four albums on Tumult Records in 1999 brought some belated attention. In 1997, New York artist Camden Joy created a poster project called "Fifty Posters About Souled American" (the ultimate number exceeded the originally planned 50), consisting of typewritten comments and stories by various artists and musicians on the mostly forgotten band. Joy then distributed the posters around Greenwich Village.


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BIAFRA: OHA - NA - EZE
Oha and Eze are two Igbo words co-joined to mean what can simply be explained as democracy. In other words, "government of the people, by the people, and for the people", without the "Oha" (people), there will be no "EZE" (ruler). While Biafra, as we know, comprises of various states and ethnic groups order than the Igbo, Ohaneze is purely an Igbo group, therefore, cannot be the mouthpiece of Biafra and hence do not have the authorization to represent Biafra in any form. The Igbo tribe as part of Biafra isn't more Biafran than other tribes, hence it would be wrong to view Biafra as an Igbo agitation. Ohaneze is supposed to be the mouthpiece of the Igbo, fighting for the rights and interests of Ndigbo, but they have never made any impact nor a single achievement, past nor present. Many atrocities have been committed against the Igbo tribe consistently and not once have they spoken out against any of it, let alone act in defense of their people. Igbos are being constantly harassed and killed in Northern Nigeria but the so-called Ohaneze Ndigbo would never make even a comment to condemn these misdeeds.
The Igbo land remains under developed and neglected, Infrastructures are nonexistent, no functional federal government structures in place and yet Ohaneze claims to be representing the interest of Ndigbo. Igbo youths struggle too hard to make ends meet, they're scattered all over other lands, they hawk around and sweat it out in order to survive, they're made to face deportation as destitute even within the same country that is claimed to be one-Nigeria, yet Ohaneze concerns themselves only with sharing state allocations and stuffing their pockets, while selling out their kinsmen rather than ensuring they have essential needs.
Since October 2015, the Buhari led administration has continued a consistent onslaught on unarmed Biafrans - children, youngsters, men and women for seeking their rights, for peacefully protesting for the release of Nnamdi Kanu and for the restoration of Biafra among who are also Igbos, yet the Ohaneze has remained mute. Instead they seek to take the glory for the relentless hard work and achievements of the Indigenous people of Biafra. Their sole concern as usual is their pockets, they seem to forget that Biafra is neither their jurisdiction nor a pet project.
Ohaneze Ndigbo have never stood up for Ndigbo nor done any positive thing in the interest of the generality of the Igbo people. They have never added value to the creativity that is vastly inherent in Igbo land. They only scout for already made platforms to take undue advantage of, exposing their feebleness in the process. Out of greediness and selfish gains, they would prefer to fight against their own people, rather than remaining courageous with integrity to better their lots. Biafrans, among who are Igbos, have enough reasons to want a separate identity different from that of Nigeria. How then can a handful of men who lack honour and dignity, think they can overshadow the numerous people and tribes of Biafra clamouring for freedom and self-determination? It is practically impossible and should never be allowed.
Talking about hate speeches, do they refer to the exposure of the atrocities in Nigeria and the pitiable state of Biafrans in Nigeria as hate speeches? Radio Biafra is simply exposing the iniquitous nature of Nigeria, should that be regarded as hatred? It is reviving faith and hope in a people long oppressed, should that be called hate speeches? What is the essence in the freedom of speech if one cannot even express displeasure when he is being oppressed? Why should the Ohaneze continually play hanky-panky to the detriment of their own people? It should be noted by all and sundry that the quest for Biafra is not an Igbo-only project, hence Ohaneze has no right to and should never be allowed to speak on behalf of Biafrans in any capacity whatsoever. Any discussions or negotiations about Biafra involving Ohaneze should be regarded as a plot that is dead on arrival, as it is completely futile and deceptive. Nnamdi Kanu remains the leader of the Indigenous people of Biafra and the director of Radio Biafra and Biafra Television, while there are designated spokespersons in the persons of Engr. Dr Clifford Chukwuemeka Iroanya and Barrister Emma Nmezu, therefore any discussions or talks that does not go through this channel is not for Biafrans. And anyone doing so is on his own. IPOB has stated explicitly that Ohaneze Ndigbo does not speak for them and should not be regarded as part of the quest for Biafra restoration as they are out as traitors to destabilize the hard work done by the IPOB.
Written By Victoria. O. C. Agangan
Edited By Ikechukwu Nwaorisa
By BIAFRA WRITERS


Why have I been placed on Probation?
Probation is when your Troy University Institutional GPA has fallen below the required 2.0. Institutional GPA is calculated using only the classes you have taken with Troy University. Once you have been placed on probation, you will remain on probation until your institutional GPA reaches 2.0 or higher.
If your institutional GPA falls below 2.0 more than 2 semesters (Troy Campus Students Only) or 2 terms while on probation, you will then be placed on Academic Suspension.
Troy Campus students must meet with Tamara Jones, assistant dean of first year studies and student success, prior to the start of the following semester. She can be reached at 334-670-3537 or tjones@troy.edu or by visiting 115 Eldridge Hall. This counseling can lead to better understanding of how to be academically successful.
Why have I been placed on Suspension?
Suspension is when your Institutional GPA has fallen below the required 2.0 two semesters (Troy Campus Students Only) or two terms while on probation. The first time you are placed on suspension it is for one semester (Troy Campus Students Only) or one term, and you cannot take classes during that period.
Once you have served your first suspension and you fall below a 2.0 again, you will then be placed on a Two Term Suspension, and cannot take courses for two semesters (Troy Campus Students Only) or two terms.
Once you have served your second suspension and you fall below a 2.0 again, you will then be placed on Indefinite Suspension, and cannot take courses for an entire academic year.
Any courses taken through a different institution while you are on Academic Suspension from Troy University will not be accepted as transfer credit because you are not in good academic standing with Troy University.
Why have I been placed on Indefinite Suspension?
Indefinite Suspension is when your Institutional GPA have fallen 2.0 below three or more times while on Academic Probation. This occurs after you have already been placed on suspension twice. Once placed on Indefinite Suspension you will have to wait and entire academic year before returning.
What do I need to do to be readmitted after Academic/Indefinite Suspension?
In order to return after being academically suspended, you must complete a readmission process with your home location. You can do this by contacting your locations Records Office (Alabama Campuses) or your Student Services Advisor (Global Campus/TROY Online).
If you would like to appeal your suspension or return before you have served your entire suspension, you will need to contact your locations Records Office (Alabama Campuses) or your Student Services Advisor (Global Campus/TROY Online).
Please see the appropriate campus below.
All students returning from suspension must see the Assistant Dean before registering. Counseling will take place during this time for a path to academic success. All questions and comments should be directed to Tamara Jones, Assistant Dean of First-Year Studies and Student Success.


What can You expect at The Orchard?
We believe that worshiping the Living God ought to be an authentic experience and so when you arrive at The Orchard you'll find us to be fairly casual in our appearance and contemporary in our style. Despite that however, we take our calling to be followers of Jesus Christ very seriously.
As you come in you can expect to find a member of our Welcome Team to greet you and to help you find your way around and get your kids registered for one of our children's ministry classes.
You'll then have the opportunity to grab some coffee and a great snack before making your way way to some seats in our auditorium.
We usually kick off our Sunday worship service with some upbeat and uplifting music and you'll get to know one of our leadership team as they introduce some of the exciting events and activities that are coming up. We encourage everyone who attends The Orchard, whether regulars or visitors to take a few minutes to fill out a communication card which we make available. This card simply lets us know who you are and how we can best be of service to you.
After about 20 minutes or so of great music during which we invite you to participate as the words are projected onto a big screen - we will often spend a couple of minutes interviewing somebody about what God is doing in their life, or we'll move straight into a time of relevant teaching right from the Bible. At this time we dismiss our kids to fun, age appropriate classrooms in our children's ministry area.
Toward the end of the service we give our regular attenders the opportunity to give in support of the work of the church and its ministry throughout our local area and around the world. Then we wrap up with a final song.
You can usually expect our worship services to last between 75-80 minutes. Then afterwards you can grab something else to drink, pick up your kids from their classrooms and spend some time getting to know some of the people here.
We also encourage our visitors to stop by our Resource Desk where we have a free gift for you - something to simply say thanks for coming!
We hope to have you join us soon.
There are lots of ways to get connected at The Orchard - here are just a few ways you'll want to get engaged!
Welcome Cafe: This is great opportunity for those who are newer to the Church to connect with others as well as one of our pastors. These events are held periodically following our Sunday worship service and are a fun and informal environment where you can ask questions and learn more about us.
Growth Groups: These are our small groups at The Orchard usually consisting of between 6-12 people and meeting at various locations around the area during the course of the week.
Serving: A great way to connect and to make a difference is by plugging in to one of our ministry teams. There are a wide variety of service opportunities available - and we guarantee that you'll love putting your God-given gifts, talents and abilities to work alongside of others.
Become a Member: Becoming a member of a local church is a way in which you actively and publicly identify yourself with Christ and His people. Members at The Orchard are those who announce "we're part of the team" and who energetically engage in serving the body, encouraging one another, faithfully giving and allowing themselves to receive encouragement and ministry from others. We'd love to talk with you more about becoming a member at The Orchard and how it can be an important step in your spiritual growth.


text:
A maritime injury lawyer is a legal professional who specializes in representing individuals who have been injured while working on a vessel or offshore platform. These attorneys have a deep understanding of the specific hazards and risks associated with the maritime industry and can provide valuable legal representation to those who have been hurt in an accident.
Maritime workers, including those working on ships, boats, and offshore platforms, are at risk of a wide range of injuries. These can include injuries caused by falls, equipment failure, and exposure to hazardous materials. Common injuries sustained by maritime workers include broken bones, head injuries, spinal cord injuries, and amputations.
When a maritime worker is injured, they may be entitled to compensation for their medical expenses, lost wages, and other damages. However, obtaining this compensation can be a complex and difficult process. This is where a maritime injury lawyer can help.
A maritime injury lawyer can help injured workers navigate the legal system and ensure that they receive the compensation they deserve. This may involve investigating the accident and gathering evidence, such as photos of the scene, witness statements, and medical records. The attorney will then use this evidence to build a strong case to present to the employer or in court.
One of the key roles of a maritime injury lawyer is to negotiate with employers on behalf of their clients. Employers often try to minimize the amount of compensation they have to pay out, and an attorney can help ensure that their client receives a fair settlement.
Another important role of a maritime injury lawyer is to hold the employer or shipowner accountable for the accident. They will investigate the employer's safety record, the qualifications and experience of the crew, and the condition of the vessel to determine if they were at fault for the accident. If negligence is found, the attorney will take legal action against the employer to hold them responsible for the accident.
Maritime injury law is governed by a number of federal laws and regulations, including the Jones Act and the Longshore and Harbor Workers' Compensation Act. A maritime injury lawyer will have a deep understanding of these laws and regulations and will be able to advise their clients on the best course of action.
If a settlement cannot be reached with the employer, a maritime injury lawyer may need to take the case to court. This can be a complex and time-consuming process, but an attorney with experience in maritime injury cases will be able to guide their clients through the legal system and fight for their rights.
When choosing a maritime injury lawyer, it is important to find someone who has experience handling cases similar to yours. This can be done by checking their website and asking for references from past clients. It is also important to find an attorney who is responsive, communicative, and dedicated to fighting for the rights of their clients.
In summary, a maritime injury lawyer is a legal professional who specializes in representing individuals who have been injured while working on a vessel or offshore platform. They have a deep understanding of the specific hazards and risks associated with the maritime industry, and can provide valuable legal representation to those who have been hurt in an accident. They can help injured workers navigate the legal system and ensure that they receive the compensation they deserve. They can investigate the accident, negotiate with employers, hold employer or shipowner accountable for the accident and take legal action if necessary.


Warning: Only For The Smart Ones – Are You Smart Enough To Work For Google?
When we hear about how much these big tech companies pay their employees, we stand in awe and somehow wish that we could be in their shoes, at least, I wish that for myself, earn so much and enjoy the perks of being a Google employee.
In a bid to find out if your wishes align with reality, take this test to find out if you are really smart enough to work for Google (now Alphabet).
I must warn you, though, unlike the test we did earlier this year, this one is quite difficult, do not attempt this if you are not smart, it would be a waste of time.
MissTechy Readers' Choice Award 2016: Cast Your Vote for The Best Smartphone of the Year.
Do You Prefer On-screen Or Physical/Capacitive Buttons On Your Smartphone(s)?
you Re perfect for google is what i got. Whoop. I am smart!
your job application in order!, this is what I got, guess I passed?
Ahem………oh well, not all fingers r equal shey?….I wasn't perfect anyway. Sha….more than average!
You have exceptional problem-solving and analytical skills, impeccable judgment, and incredible attention to detail. You are able to assess problems as they arise in order to sketch, form, and implement appropriate solutions. Google would be lucky to have you on its team. Get your job application in order!
your job application in order!,…..Well I would have love to see my score cause I guessed about 2….
You can identify opportunities for business improvement, and define the success of such initiatives. You have strong mathematical acumen, and you think strategically. You are able to deliver high quality work against aggressive deadlines, and have a 50% chance of getting a job at Google. Give it a shot!
Hello Miss Techy, love your blog so so much…. keep it up. By the way since almost everyone is smart to enough to work at gooogle, can we all apply?
Yayy Nancee thank you sooooooo much.
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\section{Coincidence or not?}

Clifford algebras are
important for many areas of pure and applied mathematics and physics.
Real Clifford algebras were introduced~\cite{Cliff} by the
English mathematician and philosopher William Kingdon Clifford in 1878.
Clifford called them ``geometric algebras''.
They generalize
complex numbers and quaternions,
as well as multi-dimensional Grassmann algebras.
Real Clifford algebras and their representations appeared
independently in the work of Hurwitz on square identities~\cite{Hur1},
and still play an essential role in this subject.
Application of real Clifford algebras in topology was initiated in~\cite{ABS}.

Every real Clifford algebra is isomorphic to one of
the algebras of real, complex or quaternionic matrices
whose size is a power of~$2$,
or their ``double copies'', i.e., the direct sum of one of these matrix algebras
with itself.
More precisely, one has the following theorem
of Chevalley~\cite{Che}.

\begin{enumerate}
\item
There are exactly two real Clifford algebras of dimension
$2^n$ for $n=2k$, namely $\textup{Mat}(2^{k},\mathbb{R})$
and $\textup{Mat}(2^{k-1},\mathbb{H})$.

\item
There are exactly three real Clifford algebras of dimension
$2^n$ for $n=2k+1$: the algebra $\textup{Mat}(2^{k},\mathbb{C})$,
which is the only simple algebra in this case, and
two double copies of the above algebras of real and quaternionic matrices.
\end{enumerate}

\noindent
The usual modern way to obtain this classification uses periodicity results,
among which the Bott periodicity is the most famous one;
the reader is invited to consult the book~\cite{LM},
and an online course~\cite{FOF}.

The problem of classification of quadratic forms
over the field of two elements $\mathbb{F}_2$
was solved by Dickson~\cite{Dick}.
Recall that the vector space $\mathbb{F}_2^n$ consists in
$n$-tuples $x=(x_1,\ldots,x_n)$, where $x_i\in\{0,1\}$.
The classification result can be formulated as follows.

\begin{enumerate}
\item[(1')]
There are exactly two equivalence classes of
non-degenerate\footnote{
The terminology will be clarified in Section~\ref{DS}.}
quadratic forms on $\mathbb{F}_2^{2k}$,
these classes can be represented by the forms:
$$
\begin{array}{rcl}
{\bf q}_0(x)&=&x_1x_2+x_3x_4+\cdots+x_{2k-1}x_{2k},
\\[2pt]
{\bf q}_1(x)&=&x_1x_2+x_3x_4+\cdots+x_{2k-1}x_{2k}+x_{1}+x_{2},
\end{array}
$$
where the summation is performed modulo~$2$.
Note that the form ${\bf q}_1$ can also be written as a homogeneous quadratic form,
since $x_i^2=x_i$.

\item[(2')]
The form
$$
{\bf q}_2(x)=x_1x_2+x_3x_4+\cdots+x_{2k-1}x_{2k}+x_{2k+1},
$$
is the only regular
quadratic form on $\mathbb{F}_2^{2k+1}$.
There are exactly three equivalence classes of quadratic forms of rank $2k$
on $\mathbb{F}_2^{2k+1}$, those of
${\bf q}_0,{\bf q}_1$, trivially extended to $\mathbb{F}_2^{2k+1}$, and~${\bf q}_2$.
\end{enumerate}

Non-equivalence of the forms ${\bf q}_0$ and ${\bf q}_1$
follows from the {\it Arf invariant},
defined as follows:
$\mathrm{Arf}({\bf q})=1$ if the number of points $x\in\mathbb{F}_2^n$
such that ${\bf q}(x)=1$ is greater than the number of points at which ${\bf q}(x)=0$;
otherwise, $\mathrm{Arf}({\bf q})=0$.
An easy computation then shows that
$$
\mathrm{Arf}({\bf q}_0)=0,
\qquad
\mathrm{Arf}({\bf q}_1)=1.
$$
The proof of the above theorem is very simple, see Appendix~1.

The goal of this note is to explain that the noticeable similarity
of the above classification theorems is not a coincidence:
the problems are, indeed, equivalent.
This equivalence is quite surprising, and
can even be misunderstood.
Every Clifford algebra
is associated with a quadratic form, and every quadratic form
defines a Clifford algebra (the algebras and the forms are over the same ground field).
This is a classical and tautological relation,
which is not an equivalence as we will see.
Here, we compare Clifford algebras over $\mathbb{R}$ and quadratic forms over $\mathbb{F}_2$.

Quadratic forms over $\mathbb{F}_2$ are also very useful in topology, see, e.g.,~\cite{Kir}.
Can this be a reason or a consequence for equivalency
of two theories?
In particular, it is amusing to know that the difference between
real and quaternionic matrices is measured by the Arf invariant.
This could perhaps provide Clifford with some material as philosopher...

\section{Definition of real Clifford algebras}

The simplest definition of
a real Clifford algebra is the original definition of Clifford~\cite{Cliff}.

The real Clifford algebra $\mathrm{Cl}_{p,q}$
is the associative algebra with unit $\bf1$
and $n=p+q$ generators
$\iota_1,\ldots,\iota_n$ that anticommute:
\begin{equation}
\label{ClRel}
\iota_i\iota_j=-\iota_j\iota_i,\quad{}i\not=j,
\end{equation}
and square to $\bf1$ or $-\bf1$:
\begin{equation}
\label{ClRelBis}
\iota_i^2=\left\{
\begin{array}{rl}
\bf1,&1\leq{}i\leq{}p\\[2pt]
-\bf1,&p<i\leq{}n.
\end{array}
\right.
\end{equation}
The pair of numbers $(p,q)$ is called the signature.
The monomials
$$
\iota_I=\iota_{i_1}\cdots{}\iota_{i_k},
$$
where $1\leq{}i_1<\ldots<i_k\leq{}n$, and $I=\{i_1,\ldots,i_k\}$
 form a basis of $\mathrm{Cl}_{p,q}$
so that, $\dim\mathrm{Cl}_{p,q}=2^n$.

A more general definition of Clifford algebras
is as follows.
Given a vector space $V$ over a field~$\mathbb{F}$,
and a quadratic form $Q:V\to\mathbb{F}$,
the corresponding Clifford algebra is the quotient
of the tensor algebra $T(V)$ by the bilateral ideal
generated by the elements of the form
$$
v\otimes{}v-Q(v)\bf1,
$$
for all $v\in{}V$, and where $\bf1$ is the unit.

Choose a basis $\{\iota_1,\ldots,\iota_n\}$ of $V$, so that the Clifford algebra
is generated by $\iota_1,\ldots,\iota_n$, with relations
$$
\iota_i^2=Q(\iota_i){\bf1},
\qquad
\iota_i\iota_j+\iota_j\iota_i=B(\iota_i,\iota_j){\bf1},
$$
where $B$ is the {\it polar bilinear form} defined by
$$
B(u,v):=Q(u+v)-Q(u)-Q(v).
$$

We consider only the case where $\mathbb{F}=\mathbb{R}$
and the bilinear form $B$ is non-degenerate.
Choosing a basis in which $B(\iota_i,\iota_j)=\pm\delta_{i,j}$,
one then goes back to the above Clifford definition.
Note that, although real Clifford algebras are parametrized by two numbers $(p,q)$,
i.e., the signature of the quadratic form,
many of them are isomorphic.
Therefore, there is no equivalence between real quadratic forms and
real Clifford algebras.

\section{Quadratic forms over $\mathbb{F}_2$}\label{DS}

A quadratic form ${\bf q}:\mathbb{F}_2^n\to\mathbb{F}_2$ can be written in coordinates as follows:
$$
{\bf q}(x)=\sum_{1\leq{}i\leq{}j\leq{}n}q_{ij}\,x_ix_j,
$$
where the coefficients $q_{ij}\in\{0,1\}$,
and where the summation is modulo~$2$.
Note that the ``diagonal terms'' of ${\bf q}$:
$$
\sum_{1\leq{}i\leq{}n}q_{ii}\,x^2_i
$$
constitute its {\it linear part},
since $x_i^2=x_i$.

A quadratic form on $\mathbb{F}_2^n$ also defines
the polar bilinear form\footnote{
Note that in characteristic $2$, there is no difference between the ``$+$'' and ``$-$'' signs.}
$$
{\bf b}(x,y):={\bf q}(x+y)+{\bf q}(x)+{\bf q}(y),
$$
which is {\it alternating}, i.e., ${\bf b}(x,x)={\bf q}(0)=0$.
This implies that
its rank is always even.

The relation between quadratic forms and
the corresponding polar bilinear alternating forms is
that the polar form ${\bf b}$ ``forgets'' about the linear part of ${\bf q}$.
Two quadratic forms ${\bf q}$ and ${\bf q}'$ on~$\mathbb{F}_2^n$ correspond to the same
polar form
if and only if ${\bf q}+{\bf q}'$ is a linear function.
This is the main difference with the real case where the quadratic form
can be reconstructed from the corresponding polar bilinear form.

The {\it rank} of a quadratic form on $\mathbb{F}_2^n$ is
defined as the rank of the corresponding
polar form.
Therefore, a quadratic form over $\mathbb{F}_2$ can be {\it non-degenerate}
(i.e., of full rank)
only if $n=2k$.
If $n=2k+1$, and a quadratic form has rank $n-1$,
then it makes sense to ask if it is
{\it regular}, i.e., not equivalent to a form written in less that $n$ variables.

\section{Equivalence}
We will now explain the equivalence of the theories of
real Clifford algebras and quadratic forms on~$\mathbb{F}_2^n$.
The following crucial idea was suggested by Albuquerque and Majid~\cite{AM1}.

Consider the vector space $\mathbb{R}[\mathbb{F}_2^n]\simeq\mathbb{R}^{2^n}$ with
natural basis $e_x$, where $x\in\mathbb{F}_2^n$.
Since $\mathbb{F}_2^n$ is an abelian group,
the space $\mathbb{R}[\mathbb{F}_2^n]$
has a structure of commutative algebra defined by
$$
e_xe_y=e_{x+y}.
$$
Identify the basis of $\mathrm{Cl}_{p,q}$
with the basis of $\mathbb{R}[\mathbb{F}_2^n]$ by
\begin{equation}
\label{IdentiF}
\iota_I\longleftrightarrow
e_{x_I},
\end{equation}
where $x_I=(x_1,\ldots,x_n)$, such that $x_i=1$, iff $i\in{}I$.
The algebra $\mathrm{Cl}_{p,q}$ is thus identified with~$\mathbb{R}[\mathbb{F}_2^n]$,
as a vector space.
However, the product in $\mathrm{Cl}_{p,q}$ and in~$\mathbb{R}[\mathbb{F}_2^n]$ differs by a sign.

Consider a new product in~$\mathbb{R}[\mathbb{F}_2^n]$:
$$
e_x\cdot{}e_y:=(-1)^{f(x,y)}e_{x+y},
$$
where $f:\mathbb{F}_2^n\times\mathbb{F}_2^n\to\mathbb{F}_2$ is a function of two arguments.
This new structure is an algebra called a {\it twisted group algebra},
we denote it $(\mathbb{R}[\mathbb{F}_2^n],f)$.

\begin{prop}~\cite{AM1}.
\label{SuPr}
The algebra $\mathrm{Cl}_{p,q}$ is isomorphic to $(\mathbb{R}[\mathbb{F}_2^n],f)$
where $f$ is the bilinear form
$$
f(x,y)=\sum_{1\leq{}j<i\leq{}n}x_iy_j+\sum_{p+1\leq{}i\leq{}n}x_iy_i.
$$
\end{prop}

\begin{proof}
Let us first check that the generators
$e_{{\bf x}_i}$, where
$$
{\bf x}_i=(0\ldots0\,1\,0\ldots0)
$$
with $1$ is at $i$th position,
satisfy the relations~(\ref{ClRel}) and~(\ref{ClRelBis}).
Indeed, $f({\bf x}_i,{\bf x}_j)=0$ and $f({\bf x}_j,{\bf x}_i)=1$, provided $i<j$,
so that the generators anticommute.
Furthermore, since $f({\bf x}_i,{\bf x}_i)=1$ for $i>p$,
the generators~$e_{{\bf x}_i}$ square to $-\bf1$ for $i>p$ and to $\bf1$ for $i\leq{}p$.

The algebra $(\mathbb{R}[\mathbb{F}_2^n],f)$ is associative,
as readily follows from the fact that $f$ is bilinear.
Therefore, the map (\ref{IdentiF}) is a homomorphism of $(\mathbb{R}[\mathbb{F}_2^n],f)$ to~$\mathrm{Cl}_{p,q}$
with trivial kernel.
\end{proof}

The above realization of real Clifford algebras as twisted group algebras
was used in~\cite{AM1} to recover structural results, such as periodicities.

Let us go one step further and address the question of isomorphism
of twisted group algebras with bilinear twisting functions.
Define the ``diagonal''  quadratic form
$$
\alpha(x):=f(x,x).
$$
It turns out that the algebra is completely determined by $\alpha$.

\begin{thm}
\label{EqClTh}
Two twisted group algebras $(\mathbb{R}[\mathbb{F}_2^n],f_1)$ and $(\mathbb{R}[\mathbb{F}_2^n],f_2)$ with bilinear
functions~$f_1$ and~$f_2$, are isomorphic
if and only if the corresponding quadratic forms,~$\alpha_1$ and~$\alpha_2$,
are equivalent.
\end{thm}

Our proof consists in two parts.
We first prove the ``if'' part, while
the converse statement,
based on classification of quadratic forms, will be proved in the end of Section~\ref{FFTA}.

Consider a twisted group algebra $(\mathbb{R}[\mathbb{F}_2^n],f)$ with bilinear $f$,
and two generators, $e_i,e_j$.
Their commutation relation is determined by the value of
$f({\bf x}_i,{\bf x}_j)+f({\bf x}_j,{\bf x}_i)$.
It turns out that the symmetrization of $f$
coincides with the polarization of $\alpha$, i.e.,
$$
f(x,y)+f(y,x)=\alpha(x+y)+\alpha(x)+\alpha(y),
$$
for all $x,y\in\mathbb{F}_2^n$.
Indeed, it suffices to check this for every monomial $x_iy_j$.
Therefore, the quadratic form $\alpha$ completely determines the relations between the generators.

We proved that if~$\alpha_1=\alpha_2$, then the algebras are isomorphic.
Since, a twisted group algebra does not change under coordinate transformations
of $\mathbb{F}_2^n$, the ``if'' part follows.

To prove the ``only if'' part of the theorem,
we will use Dickson's classification of quadratic forms on $\mathbb{F}_2^n$,
and show that non-equivalent quadratic forms correspond to non-isomorphic algebras.

\section{From quadratic forms to algebras}\label{FFTA}

Let us consider the quadratic forms
${\bf q}_0,{\bf q}_1$ and~${\bf q}_2$,
and show that the corresponding twisted group algebras on $\mathbb{R}[\mathbb{F}_2^n]$
are precisely the matrix algebras
appearing in the Chevalley classification of real Clifford algebras.

Consider first the $2$-dimensional case, and
the quadratic form ${\bf q}_0=x_1x_2$ on $\mathbb{F}_2^2$,
The algebra~$\mathbb{R}[\mathbb{F}_2^2]$ has
two generators,
$e_1$ and $e_2$.
Since the polarization of ${\bf q}_0$ is the $2$-form
$$
{\bf b}(x,y)=x_1y_2+x_2y_1,
$$
the generators anticommute,
and since ${\bf q}_0({\bf x}_1)={\bf q}_0({\bf x}_2)=0$,
one has $e_1^2=e_2^2=\bf1$.
This algebra is isomorphic to the algebra of real $2\times2$ matrices.
Indeed, the following generators of $\textup{Mat}(2,\mathbb{R})$:
$$
e_1=
\left(
\begin{array}{cc}
1&0\\
0&-1
\end{array}
\right),
\qquad
e_2=
\left(
\begin{array}{cc}
0&1\\
1&0
\end{array}
\right)
$$
satisfy the above relations.

The quadratic form ${\bf q}_1=x_1x_2+x_1+x_2$ on $\mathbb{F}_2^2$
corresponds to the case
$e_1^2=e_2^2=-\bf1$, since ${\bf q}_1({\bf x}_1)={\bf q}_1({\bf x}_2)=1$.
Thus $e_1$ and $e_2$ generate the algebra of quaternions $\mathbb{H}$.

(1)
Consider now the form ${\bf q}_0$ on $\mathbb{F}_2^{2k}$.
The generators of the corresponding algebra structure on~$\mathbb{R}[\mathbb{F}_2^{2k}]$
in each $2$-dimensional block:
$\{e_1,e_2\},\{e_3,e_4\},\ldots$ form a copy of $\textup{Mat}(2,\mathbb{R})$.
The generators from different blocks commute,
so that the algebra on $\mathbb{R}[\mathbb{F}_2^{2k}]$
is just the tensor product of $k$ copies:
$$
\textup{Mat}(2,\mathbb{R})\otimes\textup{Mat}(2,\mathbb{R})\otimes\cdots\otimes\textup{Mat}(2,\mathbb{R})
\simeq\textup{Mat}(2^k,\mathbb{R}).
$$
Similarly, the algebra on~$\mathbb{R}[\mathbb{F}_2^{2k}]$ corresponding to the form ${\bf q}_1$
is
$$
\textup{Mat}(2,\mathbb{R})^{\otimes{}(k-1)}\otimes\mathbb{H}
\simeq\textup{Mat}(2^{k-1},\mathbb{H}).
$$
The forms ${\bf q}_0$ and ${\bf q}_1$ thus correspond
to the algebras of real and quaternionic matrices, respectively.

(2)
The form ${\bf q}_2$ on $\mathbb{F}_2^{2k+1}$
corresponds to the algebra
$$
\textup{Mat}(2,\mathbb{R})^{\otimes{}k}\otimes\mathbb{C}
\simeq\textup{Mat}(2^{k},\mathbb{C}),
$$
since the last generator $e_{2k+1}$
commutes with $e_i$ for $i\leq{}2k$ and squares to $-\bf1$,
and therefore generates the
algebra of complex numbers.

Finally, the forms
${\bf q}_0$ and ${\bf q}_1$ trivially extended to $\mathbb{F}_2^{2k+1}$
correspond to the algebras
$$
\textup{Mat}(2^k,\mathbb{R})\otimes\mathbb{R}^2
\quad\hbox{and}\quad\textup{Mat}(2^{k-1},\mathbb{H})\otimes\mathbb{R}^2,
$$
respectively.
These are just the double copies of the above matrix algebras.

We are ready to complete the proof of Theorem~\ref{EqClTh}.
Consider a twisted group algebra $(\mathbb{R}[\mathbb{F}_2^n],f)$ with bilinear function $f$,
and the corresponding quadratic form $\alpha$.
By Dickson's theorem, every quadratic form on $\mathbb{F}_2^n$
of rank $2k$ is equivalent to
${\bf q}_0,{\bf q}_1$, or~${\bf q}_2$.
We have just proved that $(\mathbb{R}[\mathbb{F}_2^n],f)$
must be isomorphic to a direct sum of
several copies of $\textup{Mat}(2^k,\mathbb{R})$, $\textup{Mat}(2^{k-1},\mathbb{H})$, or
$\textup{Mat}(2^{k},\mathbb{C})$, respectively.
Sense these three algebras are obviously not isomorphic
to each other, we proved that non-equivalent quadratic forms
correspond to non-isomorphic algebras.

\section{Comments}
The above linear algebra considerations hide the cohomological
nature of Theorem~\ref{EqClTh}.
A twisted group algebra
is associative if and only if the function $f$ satisfies
$$
(\delta{}f)(x,y,z):=
f(x,y)+f(x,y+z)+f(x+y,z)+f(y,z)=0,
$$
for all $x,y,z\in\mathbb{F}_2^n$.
Such a function $f$ is called a $2$-cocycle on the abelian group~$\mathbb{Z}_2^n$
(it is convenient to use this notation for $\mathbb{F}_2^n$ considered only as an abelian group,
 and not as a vector space).
This condition is obviously satisfied if $f$ is bilinear,
but bilinearity is, of course, not necessary.
The above condition is also always satisfied for the functions
$f$ of the form
$$
f(x,y)=g(x+y)+g(x)+g(y),
$$
where $g$ is an arbitrary function
of one argument.
Then $f$ is called a trivial cocycle, or a coboundary.
For instance, the polar form $\bf b$ is the coboundary of $\bf q$.
A statement closely related to Theorem~\ref{EqClTh}, affirms that,
for an arbitrary $2$-cocycle $f$ (not necessarily bilinear),
the diagonal function $f(x,x)$
must be a quadratic form, and this form
determines the cohomology class of $f$
(for more details, see~\cite{MGO}).

A more general class of twisted group algebras $(\mathbb{R}[\mathbb{F}_2^n],f)$,
that contains the classical algebra of octonions,
was considered in~\cite{MGO}.
These are algebras where $f$ is not necessarily a $2$-cocycle, but
$\delta{}f$ is a symmetric function of three arguments.
In this case, $\alpha(x):=f(x,x)$ must be a cubic form on $\mathbb{F}_2^n$.
Two such algebras are proved to be isomorphic
(at least as $\mathbb{Z}_2^n$-graded algebras) if and only if the corresponding
cubic forms are equivalent.
Note that classification of cubic forms on $\mathbb{F}_2^n$ is a difficult unsolved problem.

Quadratic forms over $\mathbb{F}_2$ have been recently used in~\cite{RE}
to classify gradings of simple real algebras by abelian groups.
The quadratic forms
${\bf q}_0,{\bf q}_1$ and~${\bf q}_2$
appear explicitly in this classification.
This result is of course closely related to real Clifford algebras,
see in particular Remark 17 of~\cite{RE}.

Clifford algebras were considered as superalgebras,
i.e., $\mathbb{Z}_2$-graded algebras, already in~\cite{ABS}.
Thanks to Proposition~\ref{SuPr}, Clifford algebras with $n$
generators can be understood as
{\it graded-commutative} algebras over $\mathbb{Z}_2^n$
(see also~\cite{Sim} for a classification).
This viewpoint was recently used to revisit the old classical problem
due to Cayley, of developing linear algebra with coefficients in Clifford algebras,
see~\cite{CM} and references therein.
In particular, it offers a new understanding of
the Dieudonn\'e determinant
of quaternionic matrices.

\bigskip

{\bf Acknowledgements}.
I am pleased to thank Alberto Elduque and Sophie Morier-Genoud
for helpful comments.
I am also grateful to the anonymous referee for for his/her
comments and suggestions that allowed to significantly improve
and correct this note.

\section*{Appendix 1: classification of quadratic forms on $\mathbb{F}_2^n$}

For the sake of completeness, let us give a proof
of Dickson's theorem.

(1')
Let ${\bf q}$ be a non-degenerate quadratic form on $\mathbb{F}_2^{2k}$.
There exist coordinates on $\mathbb{F}_2^{2k}$
in which the polar bilinear form ${\bf b}$ associated to ${\bf q}$ is
written as:
$$
{\bf b}(x,y)=
x_1y_2+x_2y_1
+\cdots+
x_{2k-1}y_{2k}+x_{2k}y_{2k-1}.
$$
This is obvious since ${\bf b}$ is ``skew symmetric'' (alternating).
Indeed, one choses the first coordinate axis in an arbitrary way, then the
second axis such that ${\bf b}({\bf x}_1,{\bf y}_2)\not=0$,
and the other coordinates are in the orthogonal complement.

The quadratic form~${\bf q}$ is then as follows:
\begin{equation}
\label{ThFcn}
{\bf q}=x_1x_2+x_3x_4+\cdots+x_{2k-1}x_{2k}+
\hbox{\rm (linear terms)}.
\end{equation}
Consider one of the binary terms $x_ix_{i+1}$ of ${\bf q}$.
Changing coordinates,
$$
x_i'=x_i,
\qquad
x'_{i+1}=x_i+x_{i+1},
$$
this term is equivalent
to $x_ix_{i+1}+x_i$.
Therefore, $2$-dimensional blocks of ${\bf q}$ can be reduced to one of two types:
$$
x_ix_{i+1}
\quad\hbox{or}\quad
x_ix_{i+1}+x_i+x_{i+1}.
$$

Consider now a pair of blocks of the second type:
$$
x_ix_{i+1}+x_jx_{j+1}+x_i+x_{i+1}+x_j+x_{j+1}.
$$
The coordinate transformation:
$$
x_i'=x_i+x_j,\quad
x'_{i+1}=x_{i+1},\quad
x_j'=x_j,\quad
x'_{j+1}=x_j+x_{i+1}.
$$
sends this form to $x_ix_{i+1}+x_jx_{j+1}$.

It follows that ${\bf q}$
is equivalent to ${\bf q}_0$ if it contains an even number of blocks of the second type,
or to ${\bf q}_1$, otherwise.
As mentioned, ${\bf q}_0$ and ${\bf q}_1$ are not equivalent.

(2')
Consider a form ${\bf q}$ of rank $2k$ on $\mathbb{F}_2^{2k+1}$.
Choose coordinates in which
the polar form~${\bf b}$ is as above, then ${\bf q}$
is again as in~(\ref{ThFcn}).
If then ${\bf q}$ contains the linear term $x_{2k+1}$,
then the coordinate transformations
$x'_{2k+1}=x_{2k+1}+x_i$
allow us to kill all other linear terms, so that ${\bf q}$ is equivalent to ${\bf q}_2$.
Otherwise, the problem is reduced to Part (1').

\section*{Appendix 2: the table of Clifford algebras}

The following well-known table of real Clifford algebras
well illustrates Chevalley's theorem.
$$
\begin{array}{l|llllll}
p\setminus{}q&0&1&2&3&4&5\\
\hline\\
0&\mathbb{R}&\mathbb{C}&\mathbb{H}&\mathbb{H}^2&\textup{Mat}(2,\mathbb{H})&\textup{Mat}(4,\mathbb{C})\\[4pt]
1&\mathbb{R}^2&\textup{Mat}(2,\mathbb{R})&\textup{Mat}(2,\mathbb{C})&\textup{Mat}(2,\mathbb{H})&\textup{Mat}(2,\mathbb{H})^2&\ldots\\[4pt]
2&\textup{Mat}(2,\mathbb{R})&\textup{Mat}(2,\mathbb{R})^2&\textup{Mat}(4,\mathbb{R})&\textup{Mat}(4,\mathbb{C})&\ldots\\[4pt]
3&\textup{Mat}(2,\mathbb{C})&\textup{Mat}(4,\mathbb{R})&\textup{Mat}(4,\mathbb{R})^2&\ldots\\[4pt]
4&\textup{Mat}(2,\mathbb{H})&\textup{Mat}(4,\mathbb{C})&\ldots\\[4pt]
5&\textup{Mat}(2,\mathbb{H})^2&\ldots
\end{array}
$$
where the horizontal axis is parametrized by $q$ and the vertical by $p$.
The algebras with $n$ generators are represented in the diagonal $p+q=n$.

The table can be filled using the first examples:
$$
\mathrm{Cl}_{0,0}\simeq\mathbb{R},\qquad
\mathrm{Cl}_{1,0}\simeq\mathbb{R}^2,\qquad
\mathrm{Cl}_{0,1}\simeq\mathbb{C}
$$
and the following periodicity statements:
$$
\mathrm{Cl}_{p,q+2}\simeq\mathrm{Cl}_{q,p}\otimes\mathbb{H},\qquad
\mathrm{Cl}_{p+1,q+1}\simeq\mathrm{Cl}_{p,q}\otimes\textup{Mat}(2,\mathbb{R}),\qquad
\mathrm{Cl}_{p+2,q}\simeq\mathrm{Cl}_{q,p}\otimes\textup{Mat}(2,\mathbb{R}),
$$
where the tensor products are over $\mathbb{R}$.
We will not prove them, but they can be obtained directly by comparing
the generators of the algebras, see~\cite{LM,FOF},
or by analyzing quadratic forms on $\mathbb{F}_2^n$.
Let us mention that
these periodicities imply the following remarkable periodicity modulo~$8$:
$$
\mathrm{Cl}_{p,q+8}\simeq\mathrm{Cl}_{p+4,q+4}\simeq\mathrm{Cl}_{p+8,q}\simeq\mathrm{Cl}_{p,q}\otimes\textup{Mat}_{16}(\mathbb{R}),
$$
called the Bott periodicity.

redpajama_set_name: RedPajamaArXiv


The Clay Pit was our second food stop for the day and the first food stop for lunch on a Monday.
The cheap entree satisfied the husband and I in terms of taste – different from the paneer we usually eat in NJ/ NY, this one was not as creamy and more flavourful. They knew their paneer and their spices well. And the decor was a decent one. The pit name seemed apt with the brick walled look from the outside and inside.


How rural birth stories have and haven't changed.
MMy great grandmother Gudrun had her first of what would be twelve children in 1915.
Twelve children in rural western North Dakota during a time where a trip to the post office took a good day on horseback and ordering disposable diapers on Amazon.com wasn't even close to a thing.
I think about her often now that I'm a mother out here working on raising a child thirty miles and 45 minutes from the nearest grocery store and emergency room. I thought about her more when I was pregnant and trying to prepare myself for what could possibly be an emergency three-hour drive to deliver my child.
I wondered what her labors were like in that small house out on the prairie. I wondered if there was a particular neighbor woman who was designated to help women deliver at the time. I wondered if her oldest daughters were involved in helping bring the new babies into the world.
I wondered if twelve children ever felt completely overwhelming.
I wondered if she was as scared and nervous as I was?
In the hundred years that have passed since then so many things have changed in the field of obstetrics. From the invention of birth control to the role that infertility treatment and medical intervention plays in creating hope for starting a family, women and families have more choices and the potential of more control over building their families than ever before.
But even after all these years, out here where we live in rural Western North Dakota, unless you choose to give birth at home the way of our ancestors, the distance to the nearest hospital where you can receive prenatal care or give birth has not shrunk. Actually, for us, since my mom delivered me in our small hospital in Watford City in 1983, it has grown.
One of my best friends and neighbors just gave birth to twins, two little blessings who came into this world because of the availability of access to infertility treatment. But it wasn't an easy, or short road.
Their oldest daughter was born three years ago after years of making the 150 mile round trip drive from their ranch to the clinic to receive painful and expensive fertility treatment before consulting with an infertility doctor who travels to the area from Minneapolis to partner with North Dakota clinics because he believes in the need for providing infertility care to rural communities. He ultimately recommended in vitro fertilization, a procedure that required a thousand mile round trip and multiple day stay in Minneapolis for the couple.
They made the trip once to become pregnant with their first daughter and twice before they became pregnant with twins.
This same doctor helped us answer the issue with my body that was preventing me from carrying babies to full term for over eight years.
In 1915, my friend and I very likely would have been living out here, isolated and unexplainably childless.
And while the population boom that has occurred here in Western North Dakota has sprung many healthcare facilities like Dickinson, Williston and now Watford City into expanding their maternity space and obstetrics services, families like us who are raising and having babies on rural farms or in small towns will always feel a little remote, those miles between home and the hospital seemingly so much longer with a baby that could be on the way any minute.
This month's feature tells some of those crazy birth stories, where the long road between a baby on the way and the delivery room created some unorthodox and intense birthdays. That literal long road, to infertility treatment, to prenatal care, to the delivery room, is a topic that's unique to our area and one I believe many of you moms and dads can relate to.
But hidden among all of these stories is a common theme of thankfulness for the quality of research and healthcare and choices we have access to in our modern world, the dedication of our rural first responders and healthcare providers and the quality of care we have access to out here on the prairie, no matter the miles.
And, because the story doesn't stop after our babies are born, I share my notes for getting through the first months on the prairie with a newborn. Spoiler alert: It involves Amazon.com and someone who's willing to be your personal grocery-store runner.
Have your own rural birth story experience or tips? We'd love to hear from you!
Share in the comments or visit us on at Facebook.com/PrairieParent to start the conversation.


BCAF is delighterd to be working once again with Hinckley & District Society of Arts to bring you this two hour live demonstration by the talented and prolific artist Vic Bearcroft.
Vic is a professional wildlife and pet portrait artist, who specialises in pastel on velour, but also works in pencil, watercolour, coloured pencil, charcoal, oil and acrylic media.
Having spent part of his childhood in Kenya, Vic has been drawing animals since he could hold a pencil. Being passionate about wildlife in general - particularly wolves - enables Vic to work with a large number of animal welfare and conservation organisations worldwide, donating prints, merchandise and funds.
Tonight's demonstration is entitled "Wildlife in Pastels"
Tickets: £5.00 Select the number of e-tickets from the option below and then click "Add to Cart" to have them added to your basket. Follow the link "Your Basket - View Cart" in the top right corner of the screen when you have finished selecting all of your events. Please print out the email - this is your e-ticket! e-Tickets are not allocated to seats - first come, first sat.


In a skillet, cook the bacon over moderate heat until crisp, 6 minutes. Drain the bacon on paper towels; reserve 1 tablespoon of the bacon fat.
In a food processor, puree half of the peas with 1 cup of water.
In a large saucepan, heat the oil. Add the onion and cook over moderate heat until softened, 5 minutes. Add the rice and cook, stirring, until the rice is evenly coated with the oil. Add the wine and simmer until almost evaporated, 3 minutes.
Add enough hot stock to just cover the rice and cook over moderate heat, stirring, until the stock has been absorbed. Add more stock to cover the rice. Continue cooking and stirring, adding more stock as it is absorbed, until the rice is al dente and suspended in a creamy sauce, 25 minutes.
Add the pea puree, the remaining peas and the bacon and cook, stirring, until hot. Remove the risotto from the heat and stir in the butter, reserved bacon fat, cheese and lemon juice. Season with salt and pepper. Garnish with the pea shoots and serve.


November 20, 2018 (ACCESSWIRE via COMTEX) -- CORAL GABLES, FL / ACCESSWIRE / November 20, 2018 / Once again the stock market is being jolted by volatility but there are still gleams of promise coming from a few sectors; healthcare being one of them. While the S&P 500 ETF (SPY) has seen a choppy last few months, other ETF's like the SPDR Healthcare ETF (XLV) have climbed. In fact, since April, the XLV is up by more than 15% compared to the SPY's roughly 5% during the same period. Heading into the holiday week, a number of healthcare names are taking hold of a bull market in healthcare stocks. Aside from big names like Johnson & Johnson (JNJ) or Merck (MRK) other companies are gaining new interest from investors and it could have a lot to do with the latest trends that the industry is seeing.
Premier Health Group, Inc. (PHGRF) (PHGI) is focused on developing innovative health care approaches that combine humanskill based expertise with emerging technologies and will set the gold standard for services in locations of interest worldwide. In line with new healthcare industry trends, Premier Health's subsidiary, HealthVue is focused on developing proprietary technology to deliver quality healthcare through the combination of connected primary care clinics with telemedicine and artificial intelligence (AI). HealthVue currently has an ecosystem of over 100,000 active patients and have plans to rapidly increase that number both domestically and internationally.
Earlier this month, Premier solidified its stance on the increasing opportunity that the legal marijuana industry has presented. Last week Premier Health announced that as a part of its expansion plans, Premier Health will enter the Cannabis clinic space by a series of acquisitions, partnerships and/or launching a new Canada - based chain in the first half of 2019.
"Cannabis clinics fit in perfectly with our existing Telemedicine services and comprehensive app plans. The patient will not only be able to see their family doctor with our app, but also connect with their Cannabis clinic healthcare worker, the education nurse and eventually even the pharmacy or LP that is providing the prescription. This team-based and encompassing approach will provide the best and most convenient care for our patients," said Dr. Essam Hamza, Chief Executive Officer of Premier Health.
Shares of Premier Health reached highs of $0.64 on Monday; up 8.5% from the previous week's low.
BioLineRx Ltd. BLRX, +1.23% is a clinical-stage biopharmaceutical company focused on oncology and immunology. Today BioLineRX announced that the U.S. Food and Drug Administration (FDA) has granted the Biological Product Designation for AGI-134, the Company's novel immunotherapy compound. This designation provides the Company with eligibility to obtain 12 years of market exclusivity upon approval of the product for commercial use by the FDA.
According to its release, BioLineRx says that this regulatory market exclusivity adds an incremental layer of protection in addition to that afforded by existing patents granted in the United States and Europe, and pending in other countries, covering the use of AGI-134 for the treatment of solid cancer tumors. These patents are valid until May 2035, with a possible term extension of up to five additional years.
"We are extremely pleased to receive the FDA's Biological Product Designation for AGI-134, our second lead oncology asset. This classification as a biological product is very significant since it provides us with additional valuable exclusivity and confirms the FDA's acceptance of AGI-134's main mechanism of action as a vaccine," said Philip Serlin, Chief Executive Officer of BioLineRx.
Shares were up as high as $0.75 during premarket trading on Tuesday.
Medigus Ltd. MDGS, +3.93% is a medical device company developing minimally invasive endosurgical tools and an innovator in direct visualization technology. Today Medigus announced that its board of directors has resolved on a reorganization of the Company, which will include the transfer of all of the Company's assets and intellectual property related to the Company's miniature video cameras into a fully owned subsidiary of the Company.
This technology transfer is intended to distinguish the Company's miniature video cameras business from the other operations of the Company and will enable the Company to form a separate business unit with dedicated resources focused on the promotion of this technology.
Medigus is the developer of the MUSE™ system, an FDA cleared and CE marked endoscopic device to perform Transoral Fundoplication (TF) for the treatment of GERD (gastroesophageal reflux disease), one of the most common chronic conditions in the world.
Bioblast Pharma Ltd. ORPN is a clinical-stage biotechnology company committed to developing clinically meaningful therapies for patients with rare and ultra-rare genetic diseases. This week the company announced the execution of a definitive agreement to acquire Enlivex Therapeutics Ltd., a VC-funded privately-held immunotherapy company. Upon closing of the transaction, the combined company will change its name to Enlivex Therapeutics Ltd., and its trading ticker will be modified appropriately.
Enlivex is developing a novel immunotherapy with a unique mechanism of action that targets clinical indications that are defined as "life-threatening with an unmet medical need," such as preventing or treating complications associated with bone-marrow transplantations and sepsis, (the third-leading cause of mortality in the U.S. after cardiovascular and cancer diseases) and as a treatment for solid tumors via immune checkpoint reprogramming, which could increase the efficacy of CAR-T, TCR and other anti-cancer therapies.
After releasing this news, shares of Bioblast traded higher on Tuesday morning. Highs as of premarket trading were up to $1.84 so far today.


Sunrise Motel is located in Barooga just minutes from the mighty Murray River, and opposite the beautiful Barooga Botanical Gardens. It is only a short stroll to the Barooga Sports Club and Cobram Barooga Golf Club or just catch the courtesy bus. The Barooga Hotel is within 100 metres as well as local businesses, supermarket, cafe and a chemist.
With several vineyards, sporting facilities and local attractions close by, such as Thompsons Beach and the Historical bridge, Sunrise Motel is an ideal holiday location.
Then there is the mighty Murray River for boating, fishing, water activities, bush walks, and the biggest inland beach in Australia, which is amazing for swimming and picnics.
Sunrise Motel offers a friendly welcome with attention to family values and a holiday atmosphere.
Relax with genuine country hospitality. They welcome you to Sunrise Motel for your next holiday in Cobram Barooga.
Sunrise Motel offers very affordable competitive rates. Single/Double, Twin Share and Family Rates. Queen/King Rooms, as well as two Bedroom self-contained Apartments.
Spacious two bedroom Queen Unit - Queen Bed in bedroom one and two single beds in bedroom two. Great Family Unit. Fully self-contained with equipped kitchenette. Fridge, Microwave and cooktop. Comfortable Dining Area and Lounge. Free WiFi, Foxtel, DVD player, ironing facilities. Reverse-cycle heating and cooling. Onsite Parking. Extra bedding can be added. Cot available.
Spacious one bedroom Queen Unit - Great for families as these rooms are very spacious and Comfortable. Queen Bed and two extra long single beds. Fully self-contained with equipped kitchenette. Fridge, Microwave and cooktop. Dining Table and Lounge. Free WiFi, Foxtel, DVD player, ironing facilities. Reverse-cycle heating and cooling. Onsite Parking. Cot available.
Spacious one bedroom King Unit - Great for Couples and Families or Twin Share, as these rooms are very spacious and Comfortable. King Bed and one extra long single bed. Extra single Bed can be added. Fully self-contained with equipped kitchenette. Fridge, Microwave and cooktop. Dining Table and Lounge. Free WiFi, Foxtel, DVD player, ironing facilities. Reverse-cycle heating and cooling. Onsite Parking. Cot available.
Spacious two bedroom Apartment - Queen Bed in bedroom one and Queen Bed in bedroom two. Extra Single bed in Living Area. Great Unit for a group getaway. Fully self-contained with equipped kitchenette. Fridge, Microwave and cooktop. Comfortable Dining Area and Lounge. Free WiFi, Foxtel, DVD player, ironing facilities. Reverse-cycle heating & cooling. Onsite Parking. Extra bedding can be added. Cot available.


mFire is a collection of 150 professional, high quality, organic, 2K fire elements designed to be used within any compositing or non-linear editing software supporting blend or compositing mode (such as Final Cut Pro X, Apple Motion, Adobe Premiere Pro, After Effects, Nuke, Smoke, etc.).
mFire are simply awesome H264, 24p files in 2K resolution.
To use mFire in your production, just drag the file onto your timeline, choose the suitable blending or compositing mode and you are done. Make sure you place the clip on a new layer above your current footage.


Benchmark is suing former Uber CEO Travis Kalanick for mismanagement.
Don't say we didn't warn you, part 2. If the CEO needs to be replaced, he needs to leave the board and the independent directors need to evaluate themselves to make sure they are not overly beholden to him, especially when he's the founder.
Barely two months after losing his post amid the sexual-harassment and gender-discrimination scandals engulfing his company, Kalanick is being sued by one of Uber's largest early investors, Benchmark Capital. The lawsuit accuses Kalanick of conniving to "entrench himself on Uber's Board of Directors and increase his power over Uber for his own selfish ends.""Kalanick's overarching objective is to pack Uber's Board with loyal allies in an effort to insulate his prior conduct from scrutiny and clear the path for his eventual return as CEO—all to the detriment of Uber's stockholders, employees, driver-partners, and customers," the lawsuit continues.
Source: Benchmark is suing former Uber CEO Travis Kalanick for mismanagement.


text:
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import { IDelegateEntity } from "../../structure";
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export function delegateDeclaration(context: FormatContext, entity: IDelegateEntity, ns?: string): ReactFragment {
    switch (context.style) {
        case Styles.DECLARATION: return delegateDeclarationFull(context, entity);
        case Styles.MEMBER: return delegateDeclarationSimple(context, entity, ns);
        case Styles.TITLE: return delegateDeclarationTitle(context, entity);
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}

function delegateDeclarationFull(context: FormatContext, entity: IDelegateEntity): ReactFragment {
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        entity.b ? entity.b.map(x => [attribute(context, x), [
]]) : null,
        accessibility(entity.a),
        keyword('delegate'), ' ',
        typeReference(context, entity.r), ' ',
        nameWithGenericParameters(context, entity),
        '(',
        join(array(entity.p).map(x => parameter(context, x)), ', '),
        ')',
        entity.g ? entity.g.map(x => genericParameterConstraint(context, x)) : null
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}

function delegateDeclarationSimple(context: FormatContext, entity: IDelegateEntity, ns: string | undefined): ReactFragment {
    return [
        keyword('delegate'), ' ',
        typeReference(context, entity.r), ' ',
        nameWithGenericParameters(context, entity),
        '(',
        join(array(entity.p).map(x => parameter(context, x)), ', '),
        ')',
        ns ? " (" + ns + ")" : null
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}

function delegateDeclarationTitle(context: FormatContext, entity: IDelegateEntity): ReactFragment {
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        [{React.Children.toArray(nameWithGenericParameters(context, entity))}],
        ' Delegate'
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}

redpajama_set_name: RedPajamaGithub


Our philosophy: With internal staff development at the core of our business concept, it is simple to find multiple stylists to accommodate your needs. Our artists create a shape specifically suited to balance your face shape, a hair color to compliment your skin tone and a total look that adapts to your lifestyle.
For the busy guest, we offer complimentary internet for your convenience.
For regular guests we offer series package prices designed to add value to your visits for all of our salon services.
When altering or correcting your hair color, we suggest an in-person consultation to assist you in planning the perfect amount of time to make your changes.
Treatments and Relaxers do require a consultation either over the phone or in person.
Upon entering, feel transported to another place and timeas you decompress from the stress of daily life. Whether imagining yourself in a mountain top chalet or in a hiddencabin in the woods, your experience in the spa will leaveyou feeling serene and refreshed.
Your visit begins by leaving technology behind, shedding yourcell phone, tablet or laptop and exchanging them for a comfyrobe and cozy slippers. Escape the mundane and surroundyour senses in our convenient destination for quiet relaxation,intoxicating rejuvenation and affordable indulgences toreplenish what everyday living takes away.
Our distinctly unique shopping experiences offer a comprehensive selection of designer apparel and accessories. Each season, The Boutiques at 25 South are filled with collections of day and evening wear designed to set you apart and make you feel confident, comfortable and content that you look your very best.
NEW 25 South at Peddler's Village Boutique is OPEN!
Visit us right next door to Earl's in the Village.
The in-house seamstress is available for alterations Tuesday-Saturday.
In DJW Home you will find an ever-changing array of our favorite things to adorn every room of your home, including tabletop, bedding, bath, art pieces and more. Whether it's for personal indulgence or the perfect gift, our personal care items enhance everyday living. Our Home and Gift collections are presented in our salon lobbies and DJW Home at 22 South State St.
At David J. Witchell at 25 South, we are a one stop shop for every luxury your heart desires. This makes DJW Home, The Mezzanine, Denim and Essentials the perfect places to make a gift wish list. Whether you are moving into a new home with your new partner, or throwing the birthday party of a lifetime, we are here to help you curate a collection of gifts you are guaranteed to love.
On DavidJWitchell.com, you can create an online registry, make an appointment to visit us in person with the guidance of a Registry Consultant, or find a registry for an event you are attending!


After 100 games, 10 seasons and a pair of Super Bowl rings, longtime New England Patriots offensive lineman Dan Connolly is calling it a career.
Connolly, who spent the last eight seasons with the Patriots, told ESPN Boston he "got everything I could out of football" and that it's "important for me to leave the game healthy."
One thing he'll take away from the game--and something he may not have ever expected--is a highlight-reel 71-yard kickoff return, courtesy of a game against the Green Bay Packers in 2010.
Read more from the ESPN Boston story here.


The first tender, sweet spinach was ready for harvest today so we enjoyed a delicious salad from the garden for lunch. Grilled Salmon and Spinach Salad. If this meal looks good to you, mister gardener's recipe follows.
Mix together in a small bowl: ½ cup olive oil, 1 lemon, squeezed, ¼ cup white wine vinegar, 2 garlic cloves, pressed, 1 T. honey,1 T. basil, chopped, and 1 T. oregano, salt, pepper.
Place 2 small salmon fillets in a small resealable bag. Add ¼ cup of the dressing/marinade, coating salmon well, then reserve the rest of the dressing. Refrigerate salmon for 15 minutes.
Add clean, washed spinach to 2 plates. Top with grape tomatoes, sliced cucumbers, red onion, and crumbled feta cheese.
Discard marinade from salmon. Grill salmon over medium heat until it flakes easily, 5 to 7 minutes.
Place salmon atop spinach leaves on plates. Drizzle with reserved dressing.
We were tickled and proud to harvest a few cups of spinach from our tiny garden, greatly reduced in size from our Virginia garden. It was later today that we were somewhat humbled by another garden. Across the street, our neighbor called to mister gardener to climb up to his hillside garden for some red leaf lettuce. Holy Moly! mister gardener's jaw dropped when he saw the dozens of healthy lettuce varieties, other veggies galore, including somewhere close to 60 tomato plants, all grown from seed in a friend's greenhouse. No more bragging about our spinach… but it was delicious!
Red leaf lettuce for dinner tomorrow.
There's more to say about our extraordinary neighbors. Later…..
On Mother's Day, it's lovely that I have the liberty to do anything I please without any guilt or constraints. Household responsibilities are forgotten for a day. Phone calls, cards, gifts from children pour in and it's fun to just bask in the glory of motherhood.
My first choice of activities was to play in the gardens of this rental house. For half the day, I did what I do best. I weeded, I trimmed, I pruned dead branches, I edged, transplanted and divided and I planted.
For the second half of the day, I spent time improving the bird habitat in the yard. I had seen bluebirds and heard bluebirds for weeks. The 3 bluebird houses that were in this yard were uninhabitable and installed too close together. Squirrels had enlarged the openings in the dilapidated old houses and added more large holes on sides and backs. So for Mother's Day, Mister gardener bought a pole and new bird box and installed it for me along an old lichen-covered picket fence.
What happened next is surprising. Mister gardener picked up the tools, we headed inside. I proceeded upstairs to clean up after my day in the garden. A quick glance out the upstairs window at the new bird box made me do a double take. Less than 10 minutes had passed since we left the birdhouse and there was an interested male singing loudly. I took a few fuzzy telephoto photos through a window screen.
After seconds had passed, a female and future mother joined her mate to investigate the box inside and out.
She approved and they are actively building a nest today and defending the box against interested sparrows, swallows and other bluebirds. What a lovely gift for Mother's Day!
Days ago, I added a hummingbird feeder to the garden. Shortly thereafter we saw our first visitor at the feeder, a male ruby-throated hummingbird.
Yesterday, a tiny female arrived at the feeder. I thought it was appropriate that another female bird is joining her mate in this yard on Mother's Day. I was delighted.
Later that afternoon we ended our Mother's Day celebration at the home of a daughter and husband who treated us to a spectacular repast under the stars. This was the best Mother's Day adventure of the day as this daughter is enjoying her first Mother's Day with their expected little arrival later in the summer. How divine!


If your w115 240 D Mercedes 1976 model has a Pneumatic Governor on it the venture system that creates the vacuum to make it operate can be suspect as well as the Governor Diaphragm which gets less flexible and can get holes in it over time.
Also the bore where the throttle arm goes can leak due to elongation of the bore or the seals on it.
If there is less vacuum gets to the Governor it gives you more fuel.
The test in this thread will tell you if there is a vacuum leak in the system but won't tell you if the leak only shows up at high speeds.
If you have a Diaphragm type Vacuum Pump if the Diaphragm gets a whole in it Oil comes out of it and goes into the intake manifold (there is a tube that goes from the vacuum pump to the intake manifold).
What color is the smoke? Has the injection pump timing been checked? Air cleaner by chance have too much oil in it?
Nice car...had one, manual w A/C, no sunroof.
The smoke color apears to be soot black. It comes out in large plooms and quickly dissipates. Thanks everyone for you help and suggestions.