Washington, D.C. – After the decision by a federal judge on Friday to not issue an injunction protecting Native lands threatened by the Dakota Access Pipeline, the Obama Administration issued a statement halting pipeline construction that is welcomed by the thousands of Native and non-Native activists who have gathered in protest against the project.
The joint statement today by the Departments of the Army, Justice and Interior halts construction in the area around Lake Oahe in North Dakota while the concerns raised by tribal leaders are properly reviewed. Earlier in the day, the ruling of the District Court would have allowed construction to continue despite the threat to sacred sites and the drinking water of the nearby Standing Rock Sioux Tribe.
"The joint statement by the DOJ and other agencies makes it clear that the process used to approve this pipeline's construction was insufficient and did not fully take into account the environmental impact or the rights of the Standing Rock Sioux Tribe and other Native peoples," said Judith LeBlanc, director of the Native Organizers Alliance and a member of the Caddo Tribe of Oklahoma.
"Tribes from across Indian Country have drawn the line here with the largest show of unity and grassroots power in our history," said LeBlanc.
"The administration clearly recognizes the inalienable right of tribal sovereignty when it comes to protecting our people and Mother Earth," said LeBlanc.
LeeAnn Hall, co-executive director of People's Action Institute, a partner with the Native Organizers Alliance, said the decision to stop construction never would have happened without the enormous courage of Native people and supporters from around the country who stood with the Standing Rock Sioux Tribe to defend sacred lands and the water we all depend on.
People's Action Institute is a national organization fighting for democracy and economic fairness, with more than a million volunteers in 29 states. From family farms to big cities, from coast to coast, we push for community over greed, justice over racism, and people and planet over corporations.


text:
'Suits BJP to say I ran away': Vijay Mallya targets government
Fugitive liquor baron Vijay Mallya on Sunday quoted an interview of Prime Minister Narendra Modi to assert that the government has already recovered more than what he allegedly owed to banks.
india Updated: Mar 31, 2019 09:49 IST
Asian News International
Indian businessman Vijay Mallya(AP file photo)
Mallya, who is currently facing trial in a UK Court, took to micro-blogging Twitter and wrote: "I humbly submit that my assertion that I am a poster boy is fully vindicated by the PM's own statement about me (by name)that his Govt has recovered more than what I allegedly owe the Banks. Fact that I have been a UK resident since 1992 ignored. Suits the BJP to say I ran away."
I humbly submit that my assertion that I am a poster boy is fully vindicated by the PM's own statement about me (by name)that his Govt has recovered more than what I allegedly owe the Banks. Fact that I have been a UK resident since 1992 ignored. Suits the BJP to say I ran away.
— Vijay Mallya (@TheVijayMallya) March 31, 2019
In an interview to Republic Bharat news channel on March 29, Prime Minister Modi had expressed satisfaction over the fact that Mallya's extradition process was in the last stage and the government has recovered money from him.
"We brought in a law that enabled the Indian government to confiscate the property of fugitives in any part of the world. You must've seen in the case of Vijay Mallya. He owed banks Rs 9000 crore but the government has confiscated his properties worth Rs 14,000 crore from across the world. Now, he is in trouble because we are taking double the amount," PM Modi had said in an interview to a news channel.
Reacting further on the Prime Minister Modi's statement, Mallya also took a dig at BJP spokespersons for speaking against him despite the government's confirmation of full recovery.
"Saw PM Modi's interview in which he takes my name and says that even though I owe Rs 9000 crores to Banks, his Govt has attached my assets worth Rs 14,000 crores. So the highest authority has confirmed full recovery. Why do BJP spokesmen continue their rhetoric," he tweeted.
Saw PM Modi's interview in which he takes my name and says that even though I owe Rs 9000 crores to Banks, his Govt has attached my assets worth Rs 14,000 https://t.co/PabfqYtncb the highest authority has confirmed full recovery. Why do BJP spokesmen continue their rhetoric?
Patiala House Court on March 19 had ordered attachment of Vijay Mallya's properties in Bengaluru under section 83 in The Code of Criminal Procedure in connection with a FERA (Foreign Exchange Regulation Act) violation case.
The same court had already declared Mallya a proclaimed offender for evading summons in January 2018. The court had also issued an open-ended non-bailable warrant against him for evading summons and law of the land in 2017.
As per the case registered by the Enforcement Directorate, Mallya had allegedly paid USD 200,000 to a British firm and some European countries for displaying the logo of his now defunct Kingfisher airline in Formula One World Championships in London in 1996, 1997, and 1998.
The investigating agency also claimed that the money was paid without prior approval from the Reserve Bank of India (RBI) in violation of the FERA norms.
First Published: Mar 31, 2019 09:38 IST
Vijay mallya
PM Modi
more from india

redpajama_set_name: RedPajamaCommonCrawl


Leonardo, NJ – School is out, but help with school work will still be available this summer from The Community YMCA's Bayshore Family Success Center in Leonardo.
The center will be offering free assistance to area students in grades kindergarten to eighth grade at two locations – at the center in Leonardo and the Union Beach Library.
The free community education program will be available in July and August to help keep kids engaged in learning in the summer with the help of high school tutors ready to assist with any summer packets assigned by teachers.
The program is another way the Y is helping young people "Hop the Gap," which refers to barriers related to learning, particularly during the summer break.


Order your Krone Limited Edition Thomas Edison Fountain Pen today from FahrneysPens.com. Fine Pens, Refills & Luxurious Gifts – great prices & fast shipping.
The most prolific inventor of all time, Thomas Edison is best known for his invention of the incandescent light bulb. Edison's developments in modern communications and power distribution resulted in over 1,000 patents during his lifetime. Krone's Thomas Edison Limited Edition writing instrument pays tribute to Edison's invention of the light bulb, the basic foundation of today's technology.
The cap's fine Italian resin is shaded from dark to light, housing a functioning light bulb. Edison's distinct autograph decorates the sterling silver band at the base of the cap. The barrel, featuring a hand painted portrait of Edison, is highlighted with a gilded light done in gold leaf. The pen's blind cap is fashioned as the base of a light bulb.
Available in a worldwide Limited Edition of 388 fountain pens and 38 rollerballs.


A while ago, I built a precision voltage adapter using LMP8358. In this post, I will show you a similar precision voltage adapter built using a Linear Technology's LTC1100.
LTC1100 is a zero-drift, precision instrumentation amplifier. Unlike LMP8358, it does not offer programmatic gain setting (the 8-pin package), and the gain is preset at 100. But LTC1100 has several advantages over LMP8358. For instance, while the typical gain non-linearity for LT1100 and LMP8358 are quite comparable, the guaranteed maximum gain nonlinearity for LTC1100 is 20ppm compared to 100ppm for LMP8358. LTC1100's also has superior gain accuracy and wider supply voltage range, making it an ideal candidate for precision voltage measurements. On the other hand, LTC1100's GBW is significantly less than that of LMP8358, and the CMRR (common mode rejection ratio) is also worse. However, for measuring DC-level voltages, gain linearity and accuracy are far more important.
D1 and D2 protect the differential inputs. D3 is used to bias negative input above ground since we are using a single power supply here. R3 provides a return path for the input bias current. The whole circuit can be conveniently powered via a 9V battery.
Here is a picture of the build. Using this circuit, you can measure voltages down to the micro-volt range.


text:
Merseyside Boxing Archive
Merseyside Boxing Map
About MFBA
« Back to listings
Kenny Salisbury
aka 'Kenny Holden, Kenny Nelson'
born: 22/08/1953, Liverpool
30 (KO's 9)
Divisions fought in
Light-Middleweight
Kenny Salisbury's involvement with boxing began at the age of nine. He had about 100 amateur contests, winning the majority of them, and three times represented England. In his early twenties, Salisbury emigrated to Australia. Turning professional at 25, in 1982 he faced Alex Temelkov at the Sydney Opera House for the Australian title. In a fight that has gone down in folklore in Australia as "World War Three", Temelkov rabbit punched his opponent: the referee stepped in, Salisbury's manager leaned over the ropes to pull Temelkov off his man, someone flew the air to karate kick the manager, and a mass brawl broke out in the ring! Temelkov was disqualified, and Salisbury made three successful defences of his new crown. In 1984 he outpointed Nelson Bosso of Zimbabwe to win the Commonwealth title. A year later, he lost the title on cuts to Nicky Wilshere at the Royal Albert Hall, and was stripped of his Australian crown because of a car crash which prevented him from being able to defend it, and which ended his career.
Enquiries: info@merseyboxers.org.uk


This document describes the vision of Caravan 2000 and its social aims in more detail.
The U.N. convention is an important step towards creating equal opportunities for people with disabilities. However, their situation still leaves a lot to be desired.
More social inclusion of people with disabilities – less discrimination.


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#HauteSounds: What The Squad Will Listen To This V-Day
February 11, 2017 | by Japleen Kaur
This week, instead of introducing you to an upcoming artist or talking about a new album, we decided to curate a list of our favourite love songs. With the day of romance approaching fast, the #HauteSquad sat down to share the songs that gives us the #feels. After all, romance is a little incomplete without good, soulful music. Right?
Akash Institute's 'Find A Date For Valentine's Day' Notice For Students Reminds Twitter Of Mohabbatein
Can we attend this party too?
8 Bollywood Songs Like 'Besharam Rang' That Stirred Serious Controversy
Chaos, Utter Chaos!
Scroll down to listen to our faves and let us know which track steals your heartbeat too.
Home – Edward Sharpe & The Magnetic Zeroes
Basically, the CUTEST love song ever!
— Zahra Khan, Editor-In-Chief
Here Without You — Three Doors Down
Not exactly the happiest love song out there, but it's my all-time fave song, ever. Gives me the #feels, on repeat.
— Baishali Chatterjee, Managing Editor
Stand By Me –– Ben King
Powerful, soulful and everything love should be.
— Aindrila Mitra, Managing Editor, AskMen India
https://www.youtube.com/watch?v=nqgpOSqT7RA&t=1071s
La Belle Musique — Lovely Covers.
La Belle Musique has the loveliest, dreamiest mixes, and I often turn to the Lovely Covers playlist when I need to be transported to my happy place.
— Farozan Dossani, Social Media Manager
When you say nothing at all –– Ronan Keating
The lyrics are so soothing and this is the kind of love that I am looking — something that's soothing and comforting.
— Meghana Choraria, Social Media Executive
https://www.youtube.com/watch?v=Yn9IAPgz3KE
Kiss Me — Ed Sheeran
This one's probably one of Ed Sheeran's less popular songs, and I don't know why, but every time I hear it, I get goosebumps. There's something in his voice and the lyrics of the song that's so soulful and romantic. It is definitely a Valentine's Day fave amongst the new gen songs for sure!
— Tatiana Dias, Fashion & Beauty Writer
Photograph — Ed Sheeran
I recently finished reading Me Before You and I'm heartbroken. This song sums it all up and tears me up instantly.
— Japleen Kaur, Lifestyle Writer
https://www.youtube.com/watch?v=S6rAmBt8xPs
Stacks –– Bon Iver
Probably one of Bon Iver's best songs ever. The simple acoustics make my heart sway. It's like a beautiful lullaby and it's always on loop on my playlist!
— Snehal Fernandes, Head of Video Content
Sofia — Alvaro Soler
I'm learning Spanish so I am currently listening to this guy on loop. This particular song is about a breakup and moving on, but it's so happy and upbeat that I've been listening to it non-stop. Careful, it's addictive.
— Alisha Fernandes, Features Editor, AskMen India


We're looking back at the best shows in 2018 centering Latinx experiences—the perfect antidote for staying en tu camita while you recover on Jan. 1!
There are countless of traditional festivities that Latinxs celebrate during the holiday season. We put together a list of some of the celebrations held during this time of the year.
Born and raised in Los Angeles, BIANCA is an independent singer-songwriter of Mexican and Native American heritage that is unapologetically herself in her music.
Our playlist keeps the fam merry and bright, while el pavo, pernil, and arroz con gandules gets cooked for the next 8 hours! Featuring Latinx holiday classics from El Gran Combo, Celia Cruz, Juan Gabriel, and Luis Aguile to today's hits from Monsier Perine, Camila Cabello, J Balvin, and Cardi B.
The Latinx youth voter turnout, especially for midterms, is historically low. With the help of Mi Familia Vota, we're learning why it's our responsibility to vote and the impact mobilizing the Latinx youth can have on the future.
A list of 10 spooky Latin American legends and myths for you to read before heading out on chilling Halloween adventures!
Intro to our Mixtape, where we curate a playlist full of Latinx femme and non-binary musicians who are killing it in their genre.
Julissa Arce's new memoir reflects on the experience she had as an immigrant child and the sacrifices her family made in order for their children to have a better life.
Celebrate Hispanic Heritage with some info we think you should know.
We chatted with PinkSlipped's star, writer, director, editor, and producer, Jacqueline Priego about her series and what it will mean for Latina representation in the media. Check out how the series came about, and how to support this new Latina centered show!
We're tuning you into some of the podcasts that we hit that subscribe button to. You know, the ones that got us feeling like we're chismeando and discutiendo with our gal pals.
There have been three images at the forefront of the media's portrayal of Latinas. Latina women are stereotyped as the "cantina girl", the" suffering señorita", and/or the "vamp". Phyllis addresses the three images, and the importance of having more than a singular type of story told about our community.


Your fastest way to learn Server+. Why wait?
CompTIA Server+ is an international, vendor-neutral certification for technical support professionals with 18 to 24 months of IT experience. Firebrand Training's CompTIA Server+ course certifies the technical knowledge and skills required to build, maintain, troubleshoot and support server hardware and software technologies. The exam covers virtualization, disaster recovery and security procedures.
In just three days you will learn the knowledge and skills necessary to demonstrate a broad knowledge of server concerns and perform day-to-day server functions. The CompTIA Server+ certification is recognised around the world as the benchmark for the foundation-level of IT professionals.
This certification is designed for professionals with a background in computers and networking. The typical Server+ Firebrand Training candidate will be working in a network or system administration position, or be moving into such a position upon entering the workforce after an undergraduate degree program.
Firebrand Training's CompTIA Server+ course is the most effective, efficient way to get Server+ certified.
We've designed our curriculum to prepare you fully for the exam that you will sit at the end of the course.
The CompTIA Server+ certification exam is targeted at professionals with at least 18 months of installing and troubleshooting and a thorough knowledge of Network+. Professionals who want to certify their advanced technical knowledge in areas such as RAID, SCSI, multiple CPUs etc. should consider this certification.
It is recommended that the Server+ test candidate has the knowledge and skills equivalent of those tested in the CompTIA A+ and Network+ certification exams.
The CompTIA Server+ exam consists of 100 questions to be completed in 90 minutes. The minimum passing score is 750 on a scale of 100-900. Test results are displayed as soon as you complete the exam.
Students who are successful in the Firebrand Training CompTIA Server+ Certification should hold the A+ certification, or will have gained the equivalent knowledge.
"Tough, but lots of detailed information. If you struggle don''t worry as Firebrand is understanding and once you go through the course you can take it at your own pace."
"Great training! Don''t be afraid to come back the second time, it really helps! "
"Firebrands accelerated learning courses are great. They are intense and very thorough - but for a lot of people that''s exactly what you need, in order to minimize the time away from work/family and cover all the content required as fast as possible. I highly recommend pre-reading & revising the syllabus before attending if you intend to sit the exam. Staff are friendly & the centre is lovely to stay at, would recommend 100%"
"The training was very good, however it was definitely a lot to take in if you didn''t have prior knowledge. I would recommend to any one about to attend a course to go over the material once beforehand to get a brief overview; helped me out tremendously!"
"I think there should be more questions on this - saying what you think of trainer/course/accommodation/company. I think you''re all great though - thank you for always being so lovely and helpful and I''m still yet to have a trainer I don''t like, so I think that''s good :) "
The teacher was very good. The accommodation and the food was good. Good course material.


Please send us a German and English version of your banner so that we can publish your advert in the correct language and according your target audience.
The compact Vertical Banner offers a cost effective space for your corporate claim. It appears on the right side of the page within the editorial context of the REHACARE Magazine. If the Skyscraper Banner is booked, the Vertical Banner appears just below it.


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New Report: More Extreme Heat is Coming to the Southeast
FOR IMMEDIATE RELEASE: July 28, 2015
Contact: Tan Copsey, Communications Director,
media@riskybusiness.org
Atlanta, Georgia – The Southeastern United States and Texas are uniquely at risk from climate change, according to a new report released today by the Risky Business Project – a non-partisan initiative chaired by Hank Paulson, Michael R. Bloomberg, and Tom Steyer. The report finds that across the region there is potential to significantly reduce these risks if policymakers and business leaders act to reduce emissions and adapt to a changing climate.
The report, Come Heat and High Water: Climate Risk in the Southeastern U.S. and Texas, finds that, across the Southeast, the average number of days above 95 degrees Fahrenheit is likely to increase from an average 9 days per year to up 62 days per year by mid-century. By the end of this century, this number will likely increase to 124 days per year.
Extreme heat will harm the health of people in the Southeast. Over the next 25 years, Texas will likely see up to 2,580 additional deaths per year and Florida up to 1,840 additional deaths per year due to the increase in extreme heat. By mid-century, these two states combined are likely to see up to almost 10,000 additional deaths per year. Elderly people will be particularly vulnerable to these changes, as will children and outdoor workers.
"Rising heat and humidity pose severe risks to the health of citizens across the Southeast, especially among the elderly, the infirm, and populations that do not have access to reliable air conditioning" said Risky Business Project Risk Committee member Dr. Al Sommer. "In the Southeast, where we are likely to see new temperature records, we will need better emergency response systems."
"The Risky Business Southeast report drives home the reality that we must deal with climate risk before it's too late," said Risky Business Project Co-Chair Hank Paulson. "From more extreme heat that threatens labor productivity and crop yields in the agriculture sector to storm surges that could imperil infrastructure and manufacturing, which is driving new growth in the region, we face mounting risk to the economy and our way of life. Business and government leaders must face the fact that our current course is unsustainable."
The Southeast region also faces the highest risks of coastal property losses in the nation as seas rise and storms surge. Between $48.2 billion and $68.7 billion worth of existing coastal property in the Southeast will likely be below sea level by 2050. Cities like Miami and New Orleans will likely be severely affected.
"Climate change poses major risks to Southeastern cities and to the health of people living in the region," said Risky Business Project Co-Chair Michael R. Bloomberg. "By explaining the potential impacts of climate change on local communities, this report can help businesses and government make smart investments that protect infrastructure and improve people's lives."
Without adaptation by farmers commodity crops are likely to face severe yield declines. Over the next 5 to 25 years, the Southeast will likely see losses in corn yields of up to 21%, and in soybean yields of up to 14%. By the end of the century, these crops will take an even bigger hit: corn yields will likely decrease by up to 86%, and soybean yields will likely decrease by up to 76%. States that depend heavily on agriculture, like Kentucky, stand to be particularly affected.
"The Southeastern United States is already feeling the negative impacts of climate change—and if we don't take action, people living throughout the region will pay the price," said Risky Business Project Co-Chair Tom Steyer. "To protect our economic security in the region, business leaders, cities and investors must take swift action to mitigate the risks of climate change."
Come Heat and High Water: Climate Risk in the Southeastern U.S. and Texas is the fourth report from the Risky Business Project. In 2014, the Project released Risky Business: The Economic Risks of Climate Change to the United States, which employed a standard risk-assessment analysis to determine the range of potential consequences of climate change for each region of the U.S.—as well as for selected sectors of the economy. Earlier this year, it released Heat in the Heartland, a follow-up report that zeroed in on potential impacts in the Midwest. More information can be found at www.riskybusiness.org.
About the Risky Business Project:
Led by Co-Chairs Michael R. Bloomberg, Henry Paulson and Tom Steyer, the Risky Business Project focuses on quantifying the economic risks from the impacts of our changing climate.
The underlying research was conducted by the Rhodium Group, an economic research firm that specializes in analyzing disruptive global trends. The Risky Business Project's co-chairs are joined by members of a "Risk Committee," that is composed of former Treasury Secretaries Robert Rubin and George Shultz; former Senator Olympia Snowe; Al Sommer, M.D. former dean of Johns Hopkins University Bloomberg School of Public Health; former HUD Secretary Henry Cisneros; former HHS Secretary Donna Shalala and Greg Page, Executive Chairman of Cargill.
The Risky Business Project is a joint partnership of Bloomberg Philanthropies, the Paulson Institute, and TomKat Charitable Trust. All three organizations have provided substantive staff input to the project, and supported the underlying independent research being released today. Learn more at riskybusiness.org and on Twitter @ClimateRisk.
Additional quotes
Former President University of Miami and Risk Committee member Donna Shalala:
"Climate change is an urgent problem across the Southeast of our country. The potential cost of damage to private property from storm surges and sea-level rise is astronomical, especially in Florida. We've seen the warning signs, now we need to step up. The only responsible course is for us to come together to reduce these risks."
Former US Secretary of the Treasury and Risk Committee member Bob Rubin:
"To manage the risk of climate change, we need to prepare for its likely impacts. But we also need to reduce our exposure to less probable but more extreme risks that threaten the region. In Florida, for example, this means more officials, business leaders and communities coming together to increase resilience to sea-level rise and storm surge."
Former U.S. Secretary of Housing and Urban Development and Risk Committee member Henry Cisneros:
"Texas is one of the most vulnerable states to climate change in the United States. Dangerous levels of extreme heat are projected to threaten lives and dramatically reduce labor productivity. Business leaders across Texas need to take a hard look at this report and take steps to reduce these risks."
Dr. Robert Kopp, Rutgers University, Lead scientist for Risky Business Project research:
"Sea-level rise is a serious problem for the Southeast. Our research shows how, in combination with storm surges, sea-level rise will cost the region billions of dollars. Sea-level rise makes moderate storm surges more damaging. For example, at Wilmington, NC, what was once considered the `1-in-100 year flood' is expected to occur more than 30 times over the second half of the century. If we keep our current concentration of property and economic activity along the coast and don't reduce our greenhouse gas emissions, the average annual storm damage in North Carolina will likely double by the end of the century."


@Perpetual_Fighter I have no clue what any of those actually look like because I haven't been consistently playing, Ill take a look next time we're both on!
@Kitten Thank you for the trade!!
Would you take one Elf Encounter 2017 pin, one Easter 2011 pin, and one of the valentines day exchange statues for the Black Tuesday Outfit?
@ColourzRnice No problem!! Thank you again! & Haha enjoy your breakfast!
@ColourzRnice Sounds good, see ya there!
@iStella I saw you were on the forum and PM'd you but idk if you're getting them, are you on VFK right now to trade?


text:
Q: Intersection of cosets from possibly distinct subgroups is either empty or a coset of the intersection between the two subgroups
Let  $G$ be a group and $H \leq G, K \leq G$.
The intersection of two left cosets (one from $H$ and the other from $K$) is either empty or a coset of
$H\cap K$

I'm having some trouble proving this in a good way.
We know that, if $G$ is a group and $H \leq G, K \leq G$ then $(H\cap K) \leq G$.
Let us a consider $H\cap K$ and some coset $a(H\cap K)$ of $H\cap K$ for a arbitrary $a\in G$
If $x \in a(H\cap K)  \implies x =ab,$ for some $b \in H\cap K \implies x \in aH$ and $x \in aK \implies x \in aH\cap aK $. But this is not what I want, right? Or can this implication be done the other way as well?
One thought is to split it up in to cases.

*

*$H\cap K = \{e \}$, where e is the identity.

*$H = K$ or $H \subset K$ or $K \subset H$ or $H\cap K \neq \{e \}$.
But I'm not sure if this would get me anywhere?

If I want to prove that the intersection must be empty I'm not sure where to start. I want to assume that some $x\in G$ is contained in the intersection of two cosets and then perhaps derive that it must be empty.
Should I then take $x \in aH\cap aK $ or $x \in aH\cap bK $ where $a,b$ may or may not be distinct?
If I take $x \in aH\cap aK $ then $x = ah, h\in H$ and $x = ak, k\in K \implies x = ah = ak \implies h = k$. And I'm stuck.
If I take $x \in aH\cap bK $ then $x = ah, h\in H$ and $x = bk, k\in K \implies x = ah = bk \implies a^{-1}bk \in H$ And I'm also stuck here.
Any hints on how to solve this?

A: dani_s's answer has a typo in the second paragraph. It should state $a=xh^{-1}, b=xk^{-1}$ instead ($h=xa^{-1}$ would be wrong without assuming abelian group).
Also the middle section of the proof can be shortened:
$$aH=xh^{-1}H=x(h^{-1}H)=xH \quad\text{ since }h^{-1} \in H$$
and
$$bK=xk^{-1}K=x(k^{-1}K)=xK \quad\text{ since }k^{-1} \in K.$$

A: $a$ and $b$ need not to be equal. You have to show that the intersection between a left coset $aH$ of $H$ and a left coset $bK$ of $K$ is a left coset of $H \cap K$, that is $aH \cap bK = c(H \cap K)$ for some $c \in G$.
As you hinted, suppose $aH \cap bK \neq \emptyset$ and let $x \in aH \cap bK$. Then $x = ah = bk$ for some $h \in H$, $k \in K$ and $h = xa^{-1}$, $k = xb^{-1}$.
We shall now prove that $aH = xH$. Let $g \in aH$, then $$g = ah' = xh^{-1}h' \in xH$$
for some $h' \in H$.
Conversely, if $g \in xH$, then $$g = xh' = ahh' \in aH$$ for some $h' \in H$.
Similarly, we have $bK = xK$.
Hence (explain why!) $aH \cap bK = xH \cap xK = x(H \cap K)$.

redpajama_set_name: RedPajamaStackExchange


text:
class AddEnumFieldsToFieldTests < MigrationBase
  def change
    add_column :field_tests, :string_enum_field,  :string
    add_column :field_tests, :integer_enum_field, :integer
  end
end

redpajama_set_name: RedPajamaGithub


There are some little-known facts about the city of Hagerstown. Back in 1931 to 1984 the major employer in the area was the Fairchild Aircraft. The presence of the company, led to the city being called the "Home of the Flying Box Car." Discover the many other unique and quirky elements of the north part of the city.
There are many things to see for the aviation enthusiast. The Hagerstown Aviation Museum is open to the public and has many different aircraft displays to see. Discover what the 1928 Kreider Reisner KR-31 biplane or the 1943 Fairchild PT-19 WWII Trainer were like. Take a step back in time and take a flight in the 1943 Fairchild PT-19 Primary Trainer!
Looking for something new and exciting to do outdoors, the north has many places to enjoy those sunny days! Mills Park has many green open areas to play sports with the family or relax and have a picnic with friends. Fountain Head Country Club has perfectly manicured grounds and many sports to participate in. Take in some tennis or swimming with the family, or enjoy the Donald Ross golf course with friends.
Search for a great new place to eat. There are many options in the north part of the city. Cafe Del Sol is a local chain that has a welcoming environment with many great dishes. From the gourmet pizza to the flatbread sandwiches, there is something for every palate. Runways Restaurant & Lounge is an elegant place to dine with friends or family. Relax and have a couple glasses of wine and enjoy the decadent entrees and full course meals.
Find everything you need and more for shopping in North Hagerstown. The North Village Shopping Center has many fabulous restaurants and shops to explore. Grab some new equipment at Bikle's Snow Skate and Surf shop. Stop and dine at 28 South or the Bulls and Bears and try something new. Relax at the Maryland Theatre and see a new comedy with friends.
Looking for a place to send your young children to school? Maugansville Elementary School has many dedicated teachers and a well-rounded program. This school serves children from pre-kindergarten through grade 5. Northern Middle School has a great academic curriculum from grades 6-8 with many fun extra-curricular programs to keep students busy and active.
Have you been searching for a quite community to settle down in? Look no further than North Hagerstown. There are many builders in the area, with some quick move-in homes available now. Find a new home with some amazing features, like an elegant front porch or a mud room with built in cubbies. The team at newhomesource.com is happy to help you find the perfect home in the ideal neighborhood.


text:
Home All News Opinion Hillary Clinton and Donald Trump ready to sweep up Northeast: Super Tuesday...
Hillary Clinton and Donald Trump ready to sweep up Northeast: Super Tuesday 2016
MTTG Staff
As primary season begins to wind down, drama has ensued, but it's not stopping the Hillary Clinton and Donald Trump whirlwind that's hit the Northeast portion of the United States. As expected, both candidates are poised and expected to have clean sweeps, leaving their rivals to pick up scrap delegates.
John Kasich and Ted Cruz announced their plan to attempt to halt frontrunner Donald Trump's momentum. Kasich will skip the May 3 Indiana primary while Ted Cruz will skip both the May 17 Oregon and June 7 New Mexico primaries in hopes that by working together they will amass a higher percentage of the vote in each state than Trump. But it's not looking like the two will be able to stop the Hillary Clinton Donald Trump juggernaut that has been in the forefront of the 2016 Presidential election.
Former Secretary of State Hillary Clinton and businessman Donald Trump look like the odds-on favorites to go five for five on Tuesday when the presidential primary calendar focuses on the Northeastern corridor. The voting in Connecticut, Delaware, Maryland, Pennsylvania and Rhode Island means 172 Republican and 462 Democratic delegates are up for grabs this week.
Trump holds commanding leads among his fellow Republicans in all five primaries slated to be held on Tuesday, according to polling data collected by RealClearPolitics. In Connecticut and Rhode Island, he's winning by an average of about 26 points, while in Delaware he's up by a whopping 37 points. Although there isn't a lot of available polling data from this block of states (for Republicans or Democrats, for that matter), Trump dominates in every poll taken so far this year.
The big prize of Tuesday is Pennsylvania, which has 71 available GOP delegates. As the Inside Gov visualization shows, Trump leads by 19.4 points there as of April 24.
RCP Poll Average for Pennsylvania Republican Primary | InsideGov
Among Democrats, Clinton holds polling advantages in all five states, although the margins are closer than they are for Republicans. Clinton is up by an average of 5.6 points in Connecticut, 7 points in Delaware and 2.5 points in Rhode Island.
Can Donald Trump campaign as a 2020 DC outsider now that he's inside?
She holds her strongest leads in the states with the most available delegates on Tuesday. In Maryland, she is ahead by 24 points, according to polling averages. And in Pennsylvania, which has 210 available delegates, she leads Vermont Sen. Bernie Sanders by 14 points.
RCP Poll Average for Pennsylvania Democratic Primary | InsideGov
After resounding victories in last week's New York primary, Clinton and Trump are now looking to build on their already daunting delegate leads. Although many Republicans — including fellow presidential hopefuls Texas Sen. Ted Cruz and Ohio Gov. John Kasich — still seem to be holding out hope for a contested convention, Trump's continued victories and momentum complicate that plan.
On Sunday, the Cruz and Kasich campaigns announced that they agreed to alternately bow out of upcoming contests in hopes of blunting the force of Trump's recent New York win and likely Northeastern sweep. In attempts to shore up anti-Trump support behind one candidate, the Cruz campaign said it wouldn't compete in Oregon and New Mexico. Kasich's campaign announced it would "give the Cruz campaign a clear path in Indiana." Of the necessary 1,237 delegates, Trump currently has 845. Cruz has 559 and Kasich has 148.
Delegates Awarded to Republican Candidates | InsideGov
For his part, Trump and his team are continuing their confident march to the general election. In early April, he brought on experienced political operatives Paul Manafort as "convention manager" and Rick Wiley as national political director. Manafort is a lobbyist who has been an adviser to a handful of presidential campaigns, including those of Gerald Ford, Ronald Reagan, George H. W. Bush and Bob Dole. Most recently, Wiley worked on Wisconsin Gov. Scott Walker's presidential campaign but has also held multiple positions in the Republican Party. The strategic move is one of the first indicators that Trump's camp may shed some of its less practiced staffers in favor of campaign veterans who have run a national operation.
For Democrats, the presidential nomination race is coming down to delegate arithmetic. While Clinton's delegate lead is not technically insurmountable, the Sanders campaign has a real uphill battle in order to catch up. In an at-times painful back-and-forth the night of the New York primary, Sanders' campaign manager Jeff Weaver struggled to explain how his candidate would secure enough delegates in the upcoming slate of primaries.
As the visualization shows, Clinton is up by 277 pledged delegates, but that lead balloons to 741 when accounting for superdelegates. In order to secure the nomination, the winning Democratic candidate needs to capture 2,383 total delegates.
Delegates Awarded to Democratic Candidates | InsideGov
For Democrats, delegates will be doled out proportionately on Tuesday. For Republicans, the contest in Delaware is winner take all, while in Pennsylvania and Maryland it's winner take most.
Although Clinton and Trump look likely to score a clean sweep in the Northeast, Cruz, Kasich and especially Sanders will all have their fingers crossed for better-than-expected showings to peel away some delegates from the frontrunners. All three of those candidates have said they plan to take the nomination race to their respective party's convention in July.
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hey guys! I've recently received my two emblems and now need a little help figuring out what to-do next, I.e Member maps and what not. cheers!
I cant see where to change my status to member?
Just changed your status to Member. Thanks for your support!
Hi all. Love this forum and am enjoying all the stories and information on here. I purchased the ultimate membership and updated my profile, however I can't get into the member section and I keep getting a pop-up on this site asking me to become a member. Is the forum membership not aligned to the site membership? Appreciate any help or guidance!
Thank you for the info. Ive always ridden Harleys and love the outdoors. My new FJ Cruiser is helping me to explore God's country off of the asphalt!
Would you be able to change my account status for me? I just joined today. Thank you for the help.
Would you be able to change my account status for me?
You already did when you clicked on the email link. Welcome!
11/22/ 2017 Update, I got it, Thank you!
Hello, I just wanted to know what the status was of my order for the membership package. I have sent an email to you guys a week ago but have not heard back. I see the charge on my account but I have not received any confirmation email or status communication from here yet.
Membership is ordered. Have you guys left for Baja yet?
Need to locate a good place to add badges.
Any level of Membership is a one-time fee. Benefactors and Contributors are recurring fees for those who want to donate a bit more.
Went the Ultimate route myself today after many months of lurking. I look forward to more learning and knowledge sharing moving forward!
Thank you so much for the support, and welcome to the crew!
Not sure what I need to do to use the map and see other around my area?
I am a rookie at this so any help would be great thanks!
Welcome. I've updated your account, but you will need to add at least a nearby city to your location to be found on the map. Something that will resolve on Google Map, such as Traverse City, MI. Any map changes are updated midnight Pacific time.
Question for the group...brand new dude & dudette on the forum...I would like to buy TWO memberships, one for my wife, and one for me.
What is the best way to complete this transaction so we have sequential numbers?


In our life, we are constantly looking for meaningful connections, aren't we? Even though it is more probable that we connect on a much personal level with those whom we interact and meet on a day to day basis, in a world which is full of inspirational stories and fascinating people, we start to make a distant yet emotional bond with people from different walks of life too.
As we keep on exploring different facets of the world, we are moved by the success stories of people not only within our field of domain but also from every other corner of life.
One such person who rather has been an integral part of cricketing folklore for many years now and the one who certainly has a special place in the heart of every cricket fan is none other than Harsha Bhogle or Voice of Cricket as they commonly refer him to.
The article is about the story-teller who has narrated beautifully and artistically innumerable stories of cricket so far, thereby enhancing the aesthetic beauty of our beloved game.
For an outsider who doesn't understand the sport that much, following the commentary of any particular match or reading about any sport can be equivalent to say for example like a Chemical Engineering student attending the lecture of Electrical Engineering. And with the heavy data, number crunching and complex rules associated the game, it makes the life of a broadcaster more so difficult to narrate about the proceedings in a way that general public can understand and at the same time enjoy the sport.
In simple words, the significance of Harsha Bhogle and his ability to tell the story can be relatable to an amazing professor of an university who has an unique knack of simplifying the complexity of the concepts and explaining those to his/her students in a way they not follow his/her teachings but also enjoy the concepts itself.
Yes, he has been blessed with a tremendous voice and helped with a background in advertising and management. However, to produce something new, something all-together refreshing each time he is in front of a mic is nothing short of spectacular.
For a man who hardly has any cricket playing experience behind him, to sit alongside some of the brightest stars of the game of cricket is an exhilarating story in itself. It certainly demonstrates the fact that if you believe in your own brand and it's value, you do not need any approval from others.
As Harsha himself said sometime back that he always was a non-striker and in his company in a commentary box, he made the likes of Gavaskar's and Shastri's look great. But little did he know back then, he himself was slowly but surely becoming the topic of headlines.
Just as the likes of Richie Benaud, Tony Greig and Bill Lawry have a special place in the world of cricket commentary and broadcasting, Harsha Bhogle surely has a full page reserved just for himself in the book of greatest broadcasters ever if we had one.
His words, when they reach our eardrums, create magic. They speak much beyond cricket and most importantly, touch our heart just as a cool and refreshing breeze mesmerizes us with its tenderness on a hot summer's day.
Harsha's unbiased opinions about the situations, unadulterated perceptions about the game and the style of broadcasting that is very unique and one of its own kind, has made the experience of cricket viewing not only enriching but also enjoyable throughout these years.
We hope Harsha keeps on enthralling us with his words of wisdom and unique stories in a way in which only he can narrate. For him, cricket broadcasting was always like an art form rather than number crunching, which is exactly why we adore and love him and will continue to do so.


This bulky spaceship by Nick Trotta, called Ataraxis has caught me completely off guard. I am used to seeing unique LEGO spaceships with a handful of unique ideas and shapes associated with them, but this one is in a completely different class. Of course Nick is one of the best space builders out there, but even so his latest work is incredible. No wonder, as the builder has spent the past four months worth of weekends on it.
There are countless angles and lines all around the spaceship that just a list of them would be too long to be read in a reasonable time. Nick seems to be able to capture any shape and detail that would cross his mind, to a degree that it looks as if he was designing LEGO bricks specifically for this creation. This effect might also originate from the disproportionate amount of newer elements, of which most builders only have a handful and can not use in ways Nick did. My all-around favourite part is the most subtle detail in the build though; on a few spots, you can see jagged edges of grill 1×2 bricks showing, which just seems to make sense.
For an even greater appreciation of the build, you can see the pictures that inspired it.


Yesterday update my z10 stl100-1 10.2.0.415 - 10.2.0.1767, after update everything is ok no problem, but in the morning, my z10 just lost BlackBerry signal symbol.. so I can't send and receive chat bbm, but the internet is working except bbm, even I connect it to wifi still not appear..
my friend face the problem same like this..
Anyone have get the bbm problem?
Trying reboot, battery pull but still not working..
Go settings, about, drop dow to network hit the menu button on bottom right and press register device..
Yeah indonesian people hahaha.. using telkomsel.. what is your operator? Yes all the others are fine except bbm only..
I'm using XL.. n I've tried to connect via speedy wifi and the result is the same... fiuhh... so the bbry network down again in our beloved country,huh?
Same with me, just updating the Os this morning and after restart B sign disappear. I am wondering is BlackBerry aware of this? Or just another failed update?
I just made a new thread about BBM 10.2.25.101 not working on my Z10 STL100-1 10.2.0.415 Telkomsel, before read this thread. So, there are so many Z10 users face this problem. BBM not working, while other applications work very well, and still dont have solution.
Now, i know why many many many people in Indonesia, sell their blackberry and buy an android device. In the last 12 months, so many problem happen in blackberry.
Same here... i just update 2 BlackBerry mine is q10, wife z10.. q10 works fine... while z10 STL100-1.. the bbm just drop dead... my wife z10 using XL.. same can browse, Download, etc EXCEPT bbm... WTH BlackBerry???? now u wonder why u down so low and still kept churning out defective product like this?? QA?? UAT???
You can tell them about our problem via twitter (@BlackBerry) and facebook official..
Maybe they will read this forum and can find the solution..
Yup.. it's working now.. thx..


Don't look now, but the first Chanukah candle is only 24 days away. At Jewish Humor Central we love to celebrate holidays, so we've got some good stuff planned for this month. We started yesterday with a list of recommended funny books to read and to give. We may do a second list of funny books in a couple of weeks. Look also for cartoons, jokes, bubbes making latkes, choirs singing Hanukkah songs, unusual Chanukah gifts, and who knows what else.
We're not going to be all Chanukah, all the time -- just a few posts each week as we get closer to December 1. Most of the time we'll keep posting the usual mix based on what's happening in the Jewish world.
To get in the Chanukah mood, we're sharing a video from Howcast.com called How to Understand the Hanukkah Story. It's a good summary and refresher course. Enjoy!


The activity's target group is students aged 12-16 (first grade of middle school - second grade of high school), while this year students from primary education (ages 9-12) will participate as well officially for the first time.
Responsible for the activity must be at least one educator though even more should be encouraged to help, especially from fields like Physics, Biology, Philology, Arts, Computer science etc.
The expression of interest from the schools is submitted by filling in the relevant form at the webpage of the activity and only then it is valid.
The events are independed and the plays are performed live during the 2 days.
which will be assessed separately.
The same categorization is applied to the video participations as well.
In the case of a school using audiovisual material from the internet the use license should be checked.
All the participants must be informed that the final events (live and video recorded) will be uploaded on the internet. So it is of high importance that the consent of the parents will be provided for the participating students. You can find the relevant document here. In case that the educators have not gathered the relevant parents' consent, the organizers bring no responsibility.


text:
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the things we do, the things we like
Historic Houses Association
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Category: We Love Books
Sherlock and the Baker Street Curse by Sam Hearn
Sherlock and the Baker Street Curse by Sam Hearn is the second book in the series. We reviewed the first book Sherlock Holmes and the Disappearing Diamond a while ago.
Sherlock and the Baker Street Curse by Sam Hearn is the second book in the Sherlock series. The books are written from the perspective of John Watson's diary, following him and Sherlock Holmes through school and any mysteries or cases they need to solve.
In this book, they go to Baker Street Academy, where the caretaker says he spotted a ghost. They try to solve the mystery, which involves finding out what the curse is and working out what was happening. Was it a ghost or not? Sherlock Holmes and John Watson have to find out.
The book has plenty of pictures and is laid out in a comic strip style, which is fun to read. H really enjoyed it, she says it felt like it made the story fun to follow and got her thinking about the plot and things that were going on a bit more than if it was a straightforward story.
There are also journal entries, letters, newspaper clippings and a detective dossier. Essentially it is Dr Watson's casebook in junior form – ideal for younger readers who need an introduction to the world of Sherlock Holmes and Dr Watson and of course Martha Hudson.
It gets yet another thumbs up in this house!
Sherlock and the Baker Street Curse by Sam Hearn is published by Scholastic. It is suitable for age 8+ and is available now from all good bookstores. You can also buy it online here – but please support your local bookstores if you can.
We were sent this book for the purpose of review, all opinions are our own. Thank you to Scholastic for sending us a copy!
Cyberhawks Versus Stormtroopers by Mark Logie
It has been a while since we've done a book review and H has had her head firmly stuck into all of my Harry Potter books! We have a new book to read and review, so here's H's opinion about Cyberhawks Versus Stormtroopers by Mark Logie.
Cyberhawks Versus Stormtroopers by Mark Logie is a cyber thriller for children age 12+. Knowing how well H does with her reading, I knew it would be okay – and it was. She really enjoyed reading the book, but don't take my word for it, this is what she had to say.
"It was a good book, my only problem is that it wasn't long enough!" she tells me. So I'm wondering what makes it a good book.
"It's an enjoyable read! The story was exciting and I couldn't put the book down". Sounds fair.
So what is the story about?
"Cyberhawks are a group of three friends, the Stormtroopers are an organisation for brain damaged children. The Cyberhawks are Ty, Kess and Corey. One day Ty receives an email written in code. Luckily he knows about computers and Ty cracks the code. He finds out that terrorists are going to attack the London Underground and it will be the worst attack the world has known."
So what do the Cyberhawks do about it and do they tell anyone?
"Nobody listened to them, so they had to do it all themselves. I'm not going to say any more as I don't want to give away the plot!"
H hopes there will be more books in the series as she really enjoyed reading it.
Cyberhawks Versus Stormtroopers by Mark Logie is available now from all good booksellers – order a copy here! (affiliate link). Mark Logie has a YouTube channel with songs that inspired the book here.
We were sent this book for the purpose of review, all opinions are our own.
Double Felix by Sally Harris – Our Review
We're participating in a book tour for Double Felix by Sally Harris this week.
Double Felix by Sally Harris is a new book, also illustrated by Maria Serrano. It tells the story of Felix, an eleven year old boy with OCD. He does things in twos. This is from skipping on every second step to tapping door handles twice. Or even just placing everything in pairs.
A new girl starts in school, Charlie Pye. She has cereal for lunch and lives on a boat – and more importantly hasn't grown up with rules in her life. It's a whole new world for Felix. How can he possibly deal with someone who has no rules or order in their life?
It's safe to say, Double Felix has become one of H's new favourite books. She's on her fifth or sixth read already. (whispers – it might have even replaced Jaqueline Wilson's 'Katy' as the new-favourite)
So what was it about Double Felix by Sally Harris that made H go back and read it again? Here's H (age 8)'s opinion :
I like it. Felix does things twice, he'll say things twice. He goes to see Hugo Fielding, a counsellor at school which helps him. He's taught to fight back against the thing in his head – Basil the Bully (named after the Basal Ganglia in the brain).
A girl arrives at school, she doesn't wear the correct uniform and that annoys Felix to start with. They become friends, and that helps him a lot. He has someone to talk to and play with. They don't seem to have anything in common, but their friendship grows. I really liked that.
I asked H what it was that she liked. She couldn't really pinpoint what it was, but liked that it had a happy ending.
She breaks the rules and to start with Felix can't deal with that. His life revolves around the number two – he doesn't like odd numbers, he doesn't like to get odd numbers on things. Only even. Even the chapters are in even numbers! The only odd number chapter is Chapter 27. This is because it's the last chapter in the book, and Felix has learned to accept odd numbers I think.
It's a really good book and I've really enjoyed reading it. I feel like I've learned about people who have OCD a little bit by reading this book.
Sally Harris' website is over here
Double Felix by Sally Harris is available to buy now over here. (affiliate link). We were sent the book for the purpose of review, all opinions are our own.
Bill and the Little Red Plane by Jonathan Walker and Rosaria Costa
Have you ever wondered where swifts go when the seasons change, and they fly away? In Bill and the Little Red Plane, Bill wonders just that. We have been sent a copy of the book to review.
Bill and the Little Red Plane tells the story of Bill who is playing outside watching the swifts fly away. He's wondering where they go, when he sees a little red plane in the sky which does a loop the loop.
He's taken to an airfield, where he gets to ride the little red plane. The pilot, Edward, wants to know one thing – where would Bill like to go? Bill says he'd like to follow the swifts.
So Bill and Edward keep flying, following the swifts and seeing the different countries they fly over from their plane. Eventually the swifts end their journey in a rainforest in Africa, and it's time for Bill and Edward to head home.
Bill and the Little Red Plane is a lovely book for nature lovers, written by Jonathan Walker and illustrated by Rosaria Costa. This is a great way to introduce children to birds. There are lots of facts about swifts once the story has finished too.
I would put this book at Reception-age children upwards. It's one which can be read aloud easily but is also good for a first longer reading book as well.
Bill and the Little Red Plane also has a Story Monsters Approved patch and a five star badge from Readers Favourites. Both awards are voted for by children.
You can find out more here, Bill and the Little Red Plane is published by Chirpy Stories and is available now!
We were sent a copy of Bill and the Little Red Plane for the purpose of review. All opinions are our own.
The Letterbox Club Festive Appeal
BookTrust have a scheme, The Letterbox Club who send out books to children in care throughout the year. The Letterbox Club Festive Appeal has just launched. Please read on and if you can, please donate.
The Letterbox Club Festive Appeal is happening now. For £10 a child in care will receive a book and gift this Christmas. Here's an example of the kind of package they receive through the year.
We visited the BookTrust offices a while ago, and while there learnt about The Letterbox Club – a service they provide which sends children in care books to keep. Children are sometimes taken from their parents with very few possessions, and until they're placed with adoptive parents, often have just a handful of toys and very little that truly belongs to them.
The Letterbox Club sends them a book package throughout the year and is put together specially for them. Often it can be the first item of post the child has ever received.
Then I heard about The Letterbox Club Festive Appeal via a friend on Facebook. By donating £10 you can give a child a book, somewhere they can escape and enjoy, hopefully making their days a little bit easier. BookTrust have selected six hardback books which will be sent to children aged 3-13 years. The Books are picked according to the age of the child and each child will receive a specially- created festive poster and postcard by illustrator Adam Stower.
BookTrust CEO Diana Gerald said:
"Christmas can be a particularly difficult time for children in care. Books have the magical ability to transform children to different worlds and to make them feel a part of something special. Why not donate today and help make a child in care's Christmas that bit brighter."
H and I have donated, and I hope you will take time out to as well if you can. There are 9,700 children in care in the UK.
Case study 1: Emma Norry, aspiring author, Bournemouth.
"When you're a child in care, you have very little control over what happens to you and the choices you make are often limited. To be able to choose which fictional worlds to explore, enter and escape to is invaluable.
"Books are a way out of and into what you may be experiencing. They are a chance to make new friends, access new worlds and to realise that you might not be alone after all. Books took me places I needed to go. No matter who came and went, books were always there showing me how similar we all were inside.
"For me, I knew that between the pages of a book was a place I was always welcome. Books didn't mind who I was or wasn't, where I had come from or where I might end up. Books remained the same even though all around me
was constantly changing. I clung to my books like a life raft. Books were my constant home and I carried words inside me, as armour and protection and comfort."
Case study 2: Darren McCartney: "I spent some time growing up in care it was sometimes difficult. It wasn't a particularly unhappy time but sometimes I
would struggle. I felt like I needed an escape and I found that in books. Reading gave me a method of forgetting about what was happening. You don't realise at the time that's what you're doing, but looking back if it hadn't been for a good book I realise now my time in care would've been a lot more difficult."
The Letterbox Club Festive Appeal is something which is so easy to donate and give back to. If you head here £10 will send one book to one child, £50 to five children, £100 to 10 children.
Blue Peter Book Awards 2018 Shortlist
We're a bit late to the party this year, but we're still here and supporting! The fantastic Blue Peter Book Awards 2018 shortlist has been announced – and there are some great books in there.
The Blue Peter Book Awards 2018 shortlist has been announced! Wizards, warriors, wabbits, weird worlds, leper colonies and creepy things take the 2018 top spots. They're all competing to win the Best Story and Best Book with Facts.
The contenders for Best Story are 'The Island at the End of Everything' by Kiran Millwood Hargrave, 'Wed Wabbit' by Lissa Evans and 'The Wizards of Once' by Cressida Cowell. Each of these nominations have strong girl characters who must undertake dangerous journeys in their quest to triump over evil. But who will triumph from the Blue Peter Book Awards 2018 shortlist?
Battling to be crowned Best Book with Facts are 'Corpse Talk: Ground- Breaking Scientists' by Adam Murphy & Lisa Murphy, 'Real-Life Mysteries' by Susan Martineau, illustrated by Vicky Barker and 'Beyond the Sky: You and the Universe' by Dara Ó Briain, illustrated by Dan Bramall.
BookTrust are again managing the Blue Peter Book Awards. All the books are published in the last 12 months. They are voted for by over 500 children from 12 schools across the UK. The winners will be revealed on World Book Day on the 1st March 2018.
The judges are 'Kid Normal' authors Greg James and Chris Smith, Poet and 'Darcy Burdock' author Laura Dockrill. School Librarian of the Year 2016 Amy McKay and Blue Peter editor and non-voting chair Ewan Vinnicombe make up the panel. They also selected the shortlist.
Greg James said. "Chris and I love Blue Peter SO much so to be asked to judge their Book Award was a total dream. It was brilliant to lock ourselves away and get lost in the entries. It was an incredibly tough choice but we are confident we've chosen books that will inspire a new generation of young readers."
Amy McKay said: "It was a massive honour and pleasure to judge the Blue Peter Book Awards, I loved every minute of it! There were many fantastic books to choose from and I'm very proud of our eventual shortlists. I'm already eagerly awaiting hearing which books children vote as the winners."
Blue Peter editor, Ewan Vinnicombe said: "In Blue Peter's 60th year the Book Awards will play a key role in our celebrations. The shortlist is just so exciting and shows the creative strength in children's publishing at the moment. With a diverse mix in both categories, I can't wait to find out what school children in the UK decide are their favourites."
The Blue Peter Book Awards have been celebrating children's literature since 2000. BookTrust has managed the Blue Peter Book Awards since 2008. The 2017 winners were Kieran Larwood and David Wyatt who won Best Story with Podkin One Ear and David Long and Kerry Hyndman who won Best Book with Facts for Survivors.
Laura Dockrill explained. "I adored judging the Blue Peter Book Award. The nominated list was incredibly strong and made judging the prize so difficult. Which I think is a very good thing for the world of children's books! I met wizards, talking toys with speech impediments, and was flown across the globe to marvellous new landscapes. I met big foot, uncovered mysteries
and had my head blown off by space facts. It was a wonderful privilege and the shortlist is stunning!"
Diana Gerald, CEO, BookTrust commented. "The Blue Peter Book Awards are a brilliant way to celebrate children's literature and get youngsters excited about reading. BookTrust is honoured to be involved in such prestigious awards and hopefully inspire even more children to become lifelong readers."
Keep up-to-date with the Awards at www.booktrust.org.uk/bluepeter and on Twitter by following @Booktrust and #BPBA
I still can't believe my little girl is 8. But being that bit older means she's enjoying reading books which are a bit older in tone too. We are reviewing Prisoner of Ice and Snow by Ruth Lauren, and are taking part in a blog tour.
Prisoner of Ice and Snow by Ruth Lauren is a book for older readers. H is 8, and I wasn't sure if this would be age-appropriate for her. Then I realised she had stolen all my Harry Potter books. In addition she has read them way more times than I had, so actually, she would be absolutely fine. Silly me!
Once H started reading Prisoner of Ice and Snow she would switch off from what was going on around her – completely engrossed!
No one has escaped from Demidova in over three hundred years, and if Valor is to succeed she will need all of her strength, courage and love. If the plan fails, she faces a chilling fate worse than any prison …
I asked H for her opinion about Prisoner of Ice and Snow.
"I liked it, it's a good book. Valor, the main character, does something bad and is put in prison. She tries to help her sister escape. It's an adventure story, I think it's a good book for 8-12 year olds. It was good as it had two main characters that were girls.
I liked that Prisoner of Ice and Snow had more girls in it that boys. It was an exciting story too! It had a happy ending. I didn't want to put the book down when sad things were happening in case something went wrong.
"Valor is a bit older than me – she's 13. It always snows and is cold where she lives. Both her parents are still alive and well. They're outside the prison, but her twin sister Sasha is inside. Sasha is accused of stealing a magic box. If you haven't read the book it seems like is a little thing to be imprisoned for. However, the music box belongs to the royal family!
Valor goes to prison for attempted murder on the prince. She wanted to get into Demidova to help her sister escape. Valor didn't want to murder the prince, it was all about getting her sister. She tries to shoot the prince with her crossbow but misses him on purpose.
At the start I struggled a bit, though once I got into the book it was very exciting and a good read. I couldn't put it down sometimes!"
So there speaks H. She has really enjoyed the books – check out the other blogs on this tour, and big thank you's to Faye Rogers for organising it!
Ruth Lauren's site is here. You can buy the book at Amazon here (Affiliate link).
Perfectly Norman by Tom Percival – Our Review.
We're part of a book blog tour for Perfectly Norman by Tom Percival, a wonderful book which is out now!
Perfectly Norman by Tom Percival celebrates individuality in a really lovely way. Norman has always been perfectly normal until one day he grows a pair of wings. He has a wonderful time flying around, but doesn't want anyone to know about his wings.
So he keeps a large coat on all the time. But that then stops him from having fun. He's too hot to play in the park, and it's very impractical when you're having a bath too.
Eventually one day he decides to remove his coat. So do a lot of other people at the same time, and they all have wings too which they've been hiding. "the sky was filled with flying people! Norman had never felt so happy!"
Which in turn makes Norman realise there is no such thing as perfectly normal – just Perfectly Norman!
We've reviewed one of Tom Percival's books on here which we also loved – he gets the message across to young readers really well.
Perfectly Norman is a lovely book, which has a great message in there too. There is no such thing as being normal like everyone else, because everyone is their own kind of normal.
As the back of the book says, 'A bold and uplifting book about daring to be different and having the courage to dance to your own tune. Perfect for soothing even the biggest worries.". I think it sums the book up perfectly.
We're back from our holiday, where we did loads of fun stuff, including a National Trust trail at Dyrham Park which set a challenge of trying to fly like an eagle. It had a beautiful carved pair of wings in a tree trunk and while I didn't quite get a photo of H mid-flight, she loves the idea of recreating a bird in flight and wishes she had wings of her own.
You can buy Perfectly Norman now, available in a softcover version from all good booksellers and of course places like Amazon too (affiliate link).
We received a copy of Perfectly Norman for the purpose of review, all opinions are our own.
How to be a Scientist by Steve Mould
We received a copy of How to be a Scientist by Steve Mould. It encourages exploring, investigating and figuring out how things work. I like the sound of that; a book that isn't about experiments and makes science about what it should be – everything around us.
How to be a Scientist by Steve Mould breaks each part of science into easy chapters. Natural World, Human Body, Chemistry, Earth, Physics and Space.
This is where I like it. When I was at school, science was never presented as being interesting to me. When I had to choose one science as a subject it was between chemistry (too hard), physics (too many potential dissections) or biology (too much writing). How sad does that sound? I wasn't interested and there weren't books like this to help me see that science is everywhere.
H enjoys it, and I'm doing my best to make sure she keeps enjoying it. I would say How to be a Scientist is a good way of keeping the enthusiasm going. Steve Mould has his own YouTube channel where he regularly uploads videos, and this is his first book. He's enthusiastic and interesting too.
How to be a Scientist encourages children to think like a scientist rather than reading about it like you would a textbook.
I liked the taste test in the human body section. Trying different fruit while holding your nose to show how simple your tastebuds are. Actually, almost all the tests are along those lines. The book clearly explains everything which meant H was able to work through the book with minimal help from us parents.
She has tried a couple of activities. I like that she's bringing them to us with enthusiasm and a new found knowledge.
We tried the 'make a tornado' activity which was really easy – putting washing up liquid into a jam jar and turning it in a certain way to watch the bubbles created turn like a tornado.
Each section also mentions other scientists to back up the learning, which in turn will help when she covers them at school.
How to be a Scientist is a book for 7-9 year olds. This is exactly the right kind of book for her. She's a strong, confident independent reader who wants to be able to do things on her own. H is working through some Brownie badges and I feel like this book will be ideal for the Science Investigator badge too!
How to be a Scientist is available now via DK Books.
We were sent How to be a Scientist for the purpose of review, all opinions are our own.
The Adventures of the Owl and the Pussycat
As a child I loved reading the Owl and the Pussycat. It had a charm to it that gave me such vivid pictures in my head as I read. Coral Rumble has created a new version of the story – The Adventures of the Owl and the Pussycat.
The Adventures of the Owl and the Pussycat starts with them going to sea "In a box on the living room floor, They sailed away for a year and a day, And these are the things that they saw…"
Two children play 'The Owl and the Pussycat' in their front room and this is their imagination. They're playing in a cardboard box and whatever toys they have handy are part of this game – and it's wonderful.
It reminds me a lot of when H was little and we made a boat from a large box. We kept it for a good couple of years – at one point it turned into a car, then a spaceship until finally it was recycled. I loved that it had so much play, and most of that was thanks to H's imagination.
If I was able to write a book for young children, this is the kind of book I wish I could have created.
It's a beautifully illustrated book by Charlotte Cooke (who is in fact, Coral Rumble's daughter). The story rhymes which is ideal for primary school aged children discovering poetry.
The Adventures of the Owl and the Pussycat is based on the Edward Lear poem, but has its own direction.
The Adventures of the Owl and the Pussycat was originally published by Parragon Books, and is now published by Wacky Bee books. You can order it from Amazon as well as all good booksellers.
We're part of a blog tour – check out all the other bloggers taking part!
We were sent a copy of this book for the purpose of review. All opinions are our own.
Check out The Adventures of the Owl and the Pussycat on Goodreads too!
Welcome to Mum Friendly, a place where I review things. There'll be features and all sorts in here, mostly written by Jo, but occasionally others. I have one child, and tend to write about things we've experienced. For more information about us, head here.
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Q: Draw vertical line down aligned equation How do I go about drawing a line vertically down aligned equations like this:

I attempted using a tabular environment but some of the spacing is too much.
This is what I have so far:
CODE
\documentclass[10pt]{book}
\usepackage{amsmath,amssymb,amsfonts}

\begin{document}
% Table generated by Excel2LaTeX from sheet 'Sheet1'
\begin{table}[htbp]
  \centering
  \caption{Add caption}
    \begin{tabular}{ccc|ll|ll|l|ll|l}
    U1    & =     & \multicolumn{1}{c}{X1} &       & \multicolumn{1}{c}{} &       & \multicolumn{1}{r}{} & \multicolumn{1}{r}{} &       & \multicolumn{1}{r}{} &  \\
    U2    & =     & X2    &       & \multicolumn{1}{c}{} &       & \multicolumn{1}{r}{} & \multicolumn{1}{r}{} &       & \multicolumn{1}{r}{} &  \\
    U3    & =     & X3    & +     & X1    &       & \multicolumn{1}{l}{} & \multicolumn{1}{l}{} &       & \multicolumn{1}{l}{} &  \\
          & =     &       &       &       & +     & X2    & \multicolumn{1}{l}{} &       & \multicolumn{1}{l}{} &  \\
    Un    & =     & Xn    &       &       &       &       & …     & +     & Xn-1  &  \\
    Sn    & =     &       &       &       &       &       &       &       &       & Xn \\
    \end{tabular}%
  \label{tab:addlabel}%
\end{table}%

\end{document}

A: The blkarray package provides a convenient means to produce aligned (and non-aligned) material with separators spanning different rows, inside a maths environment (such as align). This is done by adding 'blocks' with different column specifications to a 'blockarray' environment defined by the package. In the below code, I use one block per row, simply adding an extra column line for each successive row (note that each block must still have the same number of total columns, albeit empty ones):
\documentclass[10pt]{book}
\usepackage{amsmath}
\usepackage{blkarray}
\begin{document}
\begin{align*}
 \begin{blockarray}{cccccc}
  \begin{block}{cccccc}
    U_1=X_1&&&&&\\ % Row 1
  \end{block}
  \begin{block}{c|ccccc}
    U_2=X_1&&&&&\\ % Row 2
  \end{block}
  \begin{block}{c|c|cccc}
    U_3=X_3&+X_1'&&&&\\  % Row 3
  \end{block}
  \begin{block}{c|c|c|ccc}
    &&+X_2'&&&\\ % Row 4
  \end{block}
  \begin{block}{c|c|c|c|cc}
   &&&&&\\ % Row 5
  \end{block}
  \begin{block}{c|c|c|c|c|c}
    U_n=X_n &&&\ldots&+X_{n-1}'&\\ % Row 6
  \end{block}
  \begin{block}{c|c|c|c|c|c}
    s=\phantom{x}&&&&&+X_n'\\ % Row 7
  \end{block}
  \end{blockarray}
\end{align*}
\end{document}

Output:

A: Here is a proposition, with tabularreplaced by array, a smaller value for arraycolsep and some improvements:
\documentclass[10pt]{book}
\usepackage{amsmath,amssymb}
\usepackage{makebox}

\begin{document}

% Table generated by Excel2LaTeX from sheet 'Sheet1'
\begin{table}[htbp]
  \centering \setlength{\arraycolsep}{3pt}
  \caption{Add caption}\[
    \begin{array}{c@{{}={}}c|ll|ll|l|ll|l}
    U_1 & X_1 \\
    U_2 & X_2 & \\
    U_3 & X_3 & + & X_1 \\
    \multicolumn{1}{c}{\makebox*{$U_3$}{ $ \smash[t]{\vdots} $\hspace{1.5em}}} & \smash[t]{\vdots} & & & + & X_2 \\
    U_n & X_n & & & & & \cdots & + & X_{n-1} \\
    S_n & & & & & & & & & X_n \\
    \end{array} \]%
  \label{tab:addlabel}%
\end{table}%

\end{document}

Unrelated: needless to load masfonts when you load amssymb: the latter package already loads it.

A: Some spacing is too much? Reduce it.
\documentclass[10pt]{book}
\usepackage{amsmath,amssymb,amsfonts}

\begin{document}
\begin{table}[htbp]
  \centering
  \caption{Add caption}
    \begin{tabular}{c@{\ }c@{}c|l@{\ }l|l@{\ }l|l|l@{\ }l|l}
    U1    & =     & \multicolumn{1}{c}{X1} &       & \multicolumn{1}{c}{} &       & \multicolumn{1}{r}{} & \multicolumn{1}{r}{} &       & \multicolumn{1}{r}{} &  \\
    U2    & =     & X2    &       & \multicolumn{1}{c}{} &       & \multicolumn{1}{r}{} & \multicolumn{1}{r}{} &       & \multicolumn{1}{r}{} &  \\
    U3    & =     & X3    & +     & X1    &       & \multicolumn{1}{l}{} & \multicolumn{1}{l}{} &       & \multicolumn{1}{l}{} &  \\
          & =     &       &       &       & +     & X2    & \multicolumn{1}{l}{} &       & \multicolumn{1}{l}{} &  \\
    Un    & =     & Xn    &       &       &       &       & …     & +     & Xn-1  &  \\
    Sn    & =     &       &       &       &       &       &       &       &       & Xn \\
    \end{tabular}%
  \label{tab:addlabel}%
\end{table}%

\end{document}

A: You can put a bunch of [b]ottom-aligned constructions next to one another, separated by a \vrule:

\documentclass{article}

\usepackage{amsmath}

\begin{document}

\[
  \begin{aligned}[b]
    U_1 &= X_1 \\
    U_2 &= X_2 \\
    U_3 &= X_3 \\
    \\ \\
    U_n &= X_n \\
      S &= \mathstrut
  \end{aligned}
  {\vrule\begin{aligned}[b]
    \mathstrut \\ {}+ X'_1 \\ \mathstrut \\ \mathstrut \\ \mathstrut \\ \mathstrut
  \end{aligned}}
  {\vrule\begin{aligned}[b]
    \mathstrut \\ {}+ X'_2 \\ \mathstrut \\ \mathstrut \\ \mathstrut
  \end{aligned}}
  {\vrule\begin{aligned}[b]
    \mathstrut \\ {}+ X'_3 \\ \mathstrut \\ \mathstrut
  \end{aligned}}
  {\vrule\begin{aligned}[b]
    \mathstrut \\ \quad\cdots\quad \\ \mathstrut
  \end{aligned}}
  {\vrule\begin{aligned}[b]
    \mathstrut \\ {}+ X'_{n-1}
  \end{aligned}}
\]

\end{document}

The \vrules are grouped with an aligned that has a blank top row (using \mathstrut). The \vrule will stretch the vertical length of the construction by default.


text:
A Foodies Feast For Several Good Causes
By Margaret McCormick
Local food artisans collaborate for Philanthropic Foodies charity event.
Chef Brandon Gore of Modern Malt Bakeshop. Michael Davis photo
Philanthropic Foodies is the ultimate pop-up feast in Central New York. Meander from station to station and you'll enjoy a "culinary showcase," including desserts, prepared by more than a dozen of Central New York's leading chefs, all donating their time and talents.
This year's event will be held July 30, 4:30 to 8 p.m., at the Rosamond Gifford Zoo, 1 Conservation Place. Advance tickets are $100 per person through July 29, and $125 at the door. For information and to purchase tickets, visit philanthropicfoodies.org.
Philanthropic Foodies was launched in 2012 by Renee and Tim Duffy. The event has raised more than $200,000 for six local nonprofits. This year's beneficiaries are the Friends of Dorothy House, a support and hospice care house for people with AIDS, and GiGi's Playhouse, an achievement and support center for people with Down syndrome and their families.
In six years, Philanthropic Foodies has grown from three participatants to more than a dozen chef participants. Eva Zaczynski, owner of Eva's European Sweets in Solvay, has been on board with the event since the beginning. Pit master Dick Benedetto, of Smoke Incorporated BBQ, has participated each year since 2013 and is looking forward to this year's event.
Benedetto says the event allows chefs to stretch, in terms of creativity, and to introduce their food to a diverse audience. "It's great exposure," Benedetto says. "The chefs all have a great time together. It's the most fun event of the year."
Chef Chance Bear of Lincklaen House and pastry. Michael Davis photo
Aside from Zaczynski and Benedetto, other participating chefs will include: Sarah Hassler, The Stoop Kitchen (opening later this summer); Jason Jessmore, Aster Pantry & Parlor; Matt Riddett, Empire Brewing Company; Anthony Donofrio, Modern Malt; Chance Bear, Lincklaen House; Luke Szabo, Scratch Farmhouse Catering; Brandon Gore, Modern Malt Bakeshop; Danny Vault, The York; Sam Mondello, Vince's Gourmet Imports; Pizzaiolo John Vigliotti, Peppino's Restaurant and Catering; Mark Bullis, Bull and Bear Roadhouse; DeAnna Germano, Chef4Rent; Gannon's Ice Cream.
The menu is in development and subject to change, based on the whims of the chefs, but elegant, adventurous and out-of-the-ordinary sum it up. You'll find things like a charcuterie station; watermelon poke bowls; frisee salad with pickled berries, goat cheese and spent grain granola; pistachio pesto pasta; and tempura squash blossoms with cashew Brie, blackberry ketchup and duqqa (a Middle Eastern spice blend). Save room for desserts like orange chocolate ganache cake and poached peach brown butter corn cake with pickled raspberries.
Beverage providers will include 1911 Spirits, Vine & Barrel, Life of Reilley Distilling and Wine Co., Dr. Konstantin Frank Vinifera Wine Cellars, Empire Brewing, Middle Ages Brewing and Peaks Coffee Company.
In between sipping, sampling and socializing, attendees can also bid on silent auction offerings, many of them food-focused, including a Lake Ontario sport fishing charter and six-course pairing dinner for four with chef Kevin Gentile and a private tour of Utica's Saranac Brewery (for 20) with Nick Matt. For auction information, visit philanthropicfoodies.org/foodies2017/index.cfm/auctions.
The founders of Philanthropic Foodies took time out from planning the event to answer questions for the Syracuse New Times. Read on to learn what inspires them and this special event for food lovers.
What inspired you to create Philanthropic Foodies?
Renee Duffy: I guess you can say we're self-proclaimed foodies. We enjoy traveling and trying new and unique foods. Locally, we love the food culture in Syracuse and have a passion for giving back to the Central New York community.
The original idea came from a conversation we had with chef Kevin Gentile in 2012. We had discussed having him cook for a few friends in our backyard and using it as an opportunity to make a donation to one local nonprofit, Friends of Dorothy House. We quickly realized it could be a much bigger event, formed a committee and partnered with chef Gentile, who agreed to use his former restaurant as the venue, and Philanthropic Foodies was born.
How do you decide which organizations to support each year?
Tim Duffy: We aim to support small, under-the-radar charities that are doing amazing work in our community with limited means. Our goal is twofold: first, to raise awareness of these nonprofits and the work they are doing, and second, to support them financially. It is very much a partnership with the organizations we support: Both sides work very hard to make sure Philanthropic Foodies is a success. To date, we have been able to raise more than $200,000 for six different local nonprofits.
What motivates your guests to attend? The food? The causes?
Tim Duffy: We say that our mission is to "Eat, Drink and Give Back!" This mission is very much shared by our attendees, our chefs, beverage and corporate sponsors, auction donors and charities alike. All parties are heavily invested in the event's success because we know that it's all to support an incredible cause. It's truly an awesome experience to see it all come together with everyone working side by side.
The menu sounds very gourmet and very creative. How is the menu developed each year?
Renee Duffy: We've actually added a disclaimer to our menu before that states, "Subject to chef creativity!" Our chefs are ridiculously creative, especially those who have been involved for several years. They're constantly taking it up a notch and looking to one-up each other.
While there is no limit to their creativity, we make sure that Philanthropic Foodies has something for everyone, from those with adventurous culinary tastes to the more mainstream eaters and those with dietary restrictions.
What is the draw for local chefs?
Renee Duffy: Many of our chefs have said over and over that this is their favorite event of the year. Our audience is very diverse, so it's a great opportunity to expose new people to their restaurants.
In addition to the increased visibility of their culinary talents and reaching new audiences, I think our chefs most enjoy seeing the direct impact that their participation in Philanthropic Foodies has on the community. They really take the time to get to know the nonprofits we're supporting each year and are just as committed to this portion of the event as they are to the culinary showcase.
What is the best thing anyone has ever said to you about Philanthropic Foodies?
Renee Duffy: All of our beneficiaries have expressed so much appreciation for Philanthropic Foodies and how it has been able to support them in achieving their missions. Those are the comments that really mean the most because we're able to see the direct impact of our efforts.
Recently, one of our attendees said that having the best local chefs and the best local charities together for one night of celebration is "truly magical." If we are able to bring our Central New York community together and create a magical experience — all for a good cause — then that's all I could ever ask for.
Margaret McCormick is a freelance writer and editor in Syracuse. She blogs about food at eatfirst.typepad.com. Follow her on Twitter, connect on Facebook or email her at mmccormicksnt@gmail.com.
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After a full day of adventure sports, touring vineyards and galleries or just strolling along the waterfront and historic Queenstown gardens, you'll be able to relax in comfort in the open plan lounge. Preparing gourmet meals or light snacks is a breeze in the well-appointed kitchen and the dining area can seat up to six. High-quality food stores, delis and French bakeries, just a few steps from your door, ensure that you can get everything you will need for fantastic dining. And every morning you will wake up refreshed after a deep sleep in our peaceful bedrooms. Full in-room laundry facilities, including an iron and ironing board, ensure that you'll look your best as well.
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We are dedicated to your comfort and enjoyment during your stay. Anything you need, just ask. We have modern, up-to-date facilities combined with old-fashioned attention to personal service. It's a combination that represents an unforgettable experience.