text:
The first day of deliberation in the Supreme Court about that perennial legal favorite, violence in video games, brought debate Tuesday about the potential damage done by minors' exposure to sex versus violence ... and a Founding Fathers joke from Justice Samuel Alito.
Los Angeles Times:
The justices voted to hear California's appeal, but they sounded split Tuesday.
Scalia insisted that since the nation's founding, depictions of sex could be banned, but not depictions of violence and torture.
This drew a mocking rebuke from Justice Samuel A. Alito Jr., who is usually allied with Scalia on the conservative side.
When Scalia pressed the state's lawyer to explain how the framers of the 1st Amendment would see the issue, Alito interjected: "What Justice Scalia wants to know is what James Madison thought about video games." The remark elicited laughter in the courtroom.
AP / Max Whittaker
Gov. Arnold Schwarzenegger signs a bill in 2005 restricting the sale and rental of violent video games to minors as Sacramento Girl Scouts look on.


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Scott Shane appears in the following:
Behind-The-Scenes Diplomacy Revealed in Latest WikiLeaks Release
Monday, November 29, 2010
WikiLeaks struck again this weekend, this time releasing a trove of over 250,000 documents containing cable messages between international diplomats. The New York Times and four other major international newspapers received the documents from WikiLeaks early, and agreed to publish their reports today. The confidential messages are plentiful and far-reaching, and reveal the tangled workings of diplomats behind the scenes as they relay messages about a potentially-nuclear Iran, contingency plans for North Korea and various coordinated efforts in the Middle East.
Father of First US Citizen Marked for Kill Or Capture Challenges CIA in Court
Tuesday, August 31, 2010
Can the U.S. government or its agents kill an American citizen even if he is a non-combatant? Anwar al-Awlaki, a radical Muslim Cleric born in America and hiding in Yemen, has called for a Jihad against America and is clearly inciting violence against his native land. But as his own father will argue in front of a federal judge today, that may not mean he should be marked for death or capture by the C.I.A.. The law suit, filed in Washington by two human rights organizations on behalf of al-Awlaki's father, argues that the U.S. government shouldn't be allowed to kill an American citizen who isn't on the battlefield without a judicial review.
Russian Spies?
Wednesday, June 30, 2010
Alleged Russian spies were arrested in the NYC area.
Details of Alleged Russian Spy Ring Unfold
Tuesday, June 29, 2010
The FBI announced yesterday the arrests of 11 people associated with an alleged Russian spy ring. The arrests were made on Sunday in Massachusetts, Virginia, New Jersey and New York. Details coming out of the FBI reports read like a Russian spy novel — if not stranger. Authorities worked for at least seven years to gather information about the suspects, who were all charged with conspiracy to commit money laundering and failing to register as guests of a foreign government. The maximum sentences for these crimes are five to 20 years.
Is Obama Cracking Down on Whistle Blowers? The Pentagon Seeks Wikileaks Founder
Monday, June 14, 2010
The Pentagon is searching for Julian Assange, founder of the website Wikileaks, amidst concerns that the site could publish thousands of international cables from the State Department. The cables are allegedly part of a larger package of material given to Wikileaks by 22-year-old Army Specialist Bradley Manning. In late May police arrested Manning, an intelligence analyst in Iraq, accusing him of downloading confidential material from computers on his base and posting it to WikiLeaks.
We speak with Scott Shane, the National Security reporter for The New York Times. He says that while President Obama's administration was elected on a campaign of government transparency, it is actually following a doctrine of extreme media secrecy. Shane says Obama has, in two years, prosecuted more information-leakers than any other president in history.
Latest on Investigation and Interrogation of Faisal Shahzad
Thursday, May 06, 2010
The question everybody is asking this week has been, who is 30-year-old Faisal Shahzad, the man held and accused of placing a car bomb in New York's Times Square over the weekend? After two days of intense interrogation efforts, news continues to trickle in about the motives and connections behind the attempted attack.

subset: commoncrawl


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Pembina Valley Bible Camp has a new profile photo.Shared publicly -
Pembina Valley Bible Camp is an interdenominational evangelical Christian camp located in Manitoba, Canada. We exist in order to "Turn Hearts Toward God" by offering young people the opportunity to learn more about the Bible and how Jesus can provide the needed answers to some very real problems in today's young lives.
The camp is located in the Pembina Valley approximately thirty minutes from Morden Manitoba. The 245-acre property and the surrounding crown land provide excellent outdoor recreation during all seasons of the year. The camp operates summer youth camps for those going into grades six and up and is available for rent for youth outings, church picnics, retreats, care group outings, school groups, family gatherings, hikes, public trail rides, and picnics.
Our goal is to gain relationships with campers in a well-balanced program of recreation, camping instruction, and Bible teaching, carried out by committed Christian staff. Thus the camp focuses on the spiritual, physical, social and educational development of the camper through these avenues:
- an opportunity to personally get to know Jesus Christ, God's provision for sin.
- a place to meet God through studying His Word and the wonders of His creation.
- a time for learning, achieving, growing, and maturing through healthy activities.
- a place to develop new friendships and strengthen others by working, playing, and having fellowship together.
- a fun outdoor living experience.


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This is a clean 1980 Vespa Motor Scooter - Model 200E. It is a Large frame, powered by a 200cc engine and a 4 speed manual transmission, top speed of 70 mph. Includes many Vespa accessories. Is in excellent to mint original condition, immaculate original condition. Serviced and new battery, ready to ride!
Aug 29 -
Fort Wayne :
Yes that's 1,900 miles and counting(still ridden few times a week). Bike is like new with full factory warranty till September 2017 ,plus extended fact warranty till September 2020 plus tire and wheel warranty till 2020...Bike has the Indian stereo speakers, optional stage one mufflers, fish tail tips and stage one download, some extra fringe ;-). Also have had the security system upgraded to ...
Aug 26 -
Chicago :
New 2014s & 2015s with warranty Mopeds ,Mopeds, Scooters,Scooters,Scooters,Scooters, 50cc & 150cc Limited bikes available get yours Today ...$ 1299.00 to $ 1599.00 each plus fees.( tax, title ,plates, ect.)
Quality Plus Auto Sales 1833 E. Mason St. Green Bay (920) 465-9590
Aug 24 -
Green Bay :
Green Bay
we have only a few left New 2014 Propel Daytona 150cc Factory Warranty, Air cooled. single cylinder. 4 stroke 60 mph / 71 MPG Automatic Transmission Continuously Variable (CVT) fully automatic Twist -n- Go. .13 tires Call today (920) 465-9590 COLORS AVAILABLE- Red or Black, Quality Plus Auto Sales and Service. 1833 E. Mason St. Green Bay Wi. 54302 www.qualityplusautosales.com we service ...
2001 Honda NSS250/A Reflex Scooter::This is a very nice scooter and is in excellent shape with 8465 miles and has no issues.It is garage kept and hardly ever ridden.I am asking $1500.00 for it. I could consider a reasonable offer. Must be cash in hand and you must have a motorcycle endorsement license to take a test ride. The bike can be seen in the Ravenna Ohio area.You can call my cell ...
Aug 22 -
Northeast Ohio :
can haul your motorcycle on the front of your truck or car or camper motor home with metal front
or rear bumpers carrier
Moped Scooter Cycle Bumper Carrier motorhome
Aug 13 -
Chicago :
Excellent condition, under 2500 miles. Amber Glow Orange with racing stripes. Plenty of storage with a large area under the seat and a large Aprilia trunk. Electronic fuel injection, computerized info dash, disc brakes both wheels. With no performance additions, this scooter has a top end speed of 52Mph. If unrestricted it can do 62Mph (per several blogs). This scooter has a quality ride ...
Aug 10 -
Lansing :
Very Clean Garage Kept 2007 Aprilia Scarabeo 500ie Scooter. Made in Italy by Piaggio, which is the same company that makes Vespas. This scooter is quick and smooth! It's a really fantastic scooter, I just need to sell it due to lack of space in my garage. I am the second owner. Title in hand.It has less than 4,000 miles on it. Has had regular oil changes, never crashed. Has an air horn, which ...
Aug 4 -
Chicago :
We'll be sending text message alerts for your subscription to


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Without question the coolest friggin' thing we have ever seen at this or any Comic-Con is AMC's booth for their upcoming zombie show, "The Walking Dead". Get ready for the goods, kids!
"The Walking Dead" is based on Robert Kirkman's popular comic series. It chronicles the months and years following a zombie apocalypse. Frank Darabont is the project's writer, director of the pilot, and exec producer with Gale Anne Hurd and David Alpert also exec producing. KNB will be handling the effects, and Andrew Lincoln, Jon Bernthal, Jeffrey DeMunn, IronE Singleton, Sarah Wayne Callies, Laurie Holden, Chandler Riggs, Steven Yeun, Michael Rooker, Emma Bell, Adrian Kali Turner, Linds Edwards, Keith Allen Hayes, and Jim Colemanare are all set to star.
If you haven't begun reading this tale yet, click below, order, and get started like yesterday. You'll be thanking us later. Make sure to click here for our "The Walking Dead" set visit preview!
Got news? Click here to submit it!
Walk with the dead in the Dread Central forums!


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The Kansas State Department of Education's (KSDE) latest national survey of school bus danger zone fatalities is now available to download.
As previously reported, the survey found that nine children were killed in school bus loading and unloading accidents in the U.S. in the 2011-12 school year. The majority of the fatalities — six of the nine — were caused by a vehicle passing the bus.
The full 2011-12 report is now available as a PDF on the KSDE website. To download it, click here.
The KSDE School Bus Safety Education Unit, which compiles the annual survey, noted that it is no longer mailing out print copies due to the costs involved.
Related Topics: danger zone, fatalities
Get the latest news and most popular articles from SBF delivered straight to your inbox. Stay on top of the school bus industry and don't miss a thing!


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Home > Categories > Category
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Zoltar Speaks on the Strand - Galveston, TX
in Coin-Operated Fortune Telling Machines
Located outside of the Mallory-Produce Building in Galveston'S Historic Strand District.
posted by: jhuoni
location: Texas
date approved: 9/21/2016
last visited: never
Pappy - Fort Worth Stockyards - Fort Worth, TX
For a buck, Pappy will talk to you about your fortune. He's located inside Stockyards Station in the historic Fort Worth Stockyards, Fort Worth, TX.
posted by: QuarrellaDeVil
date approved: 7/22/2016
last visited: 7/13/2016
The Wizard- Grand Prarie Texas
The Wizard is waiting for you in the Louis Tussaud's Palace of Wax
601 Palace Pkwy, Grand Prairie, TX.
posted by: Crazy4horses
date approved: 7/10/2016
Wate & Fate - Red Cross Drugs Blanchard, OK United States
Wate and Fate fortune telling machine by American Scales. Located in the Red Cross Pharmacy in Blanchard, OK.
posted by: vulture1957
location: Oklahoma
date approved: 7/2/2016
Zoltar South Las Vegas Blvd - Las Vegas, Nevada
Zoltar will guess your luck in Las Vegas.
posted by: SUp3rFM & Cruella
location: Nevada
date approved: 6/19/2016
Pappy Machine
Pappy coin operated fortune telling machine
posted by: KyTravelers
location: South Dakota
date approved: 5/24/2016
Pappy - Hoover Dam Gift Shop - AZ
Pappy fortune telling machine located in front of the Hoover Dam gift shop on the Arizona side.
posted by: jiggs11
location: Arizona
date approved: 4/22/2016
Zoltar - Newport Beach, CA
Just located inside the arcade, along Balboa's Fun Zone.
posted by: bluesnote
location: California
date approved: 3/30/2016
last visited: 3/22/2016
Aladdin's Lamp - Anaheim, CA
A lamp fortune teller in Disneyland, CA.
posted by: saopaulo1
date approved: 2/25/2016
Fortune Red - Anaheim, CA
A fortune machine in New Orleans Square in Anaheim, CA.
date approved: 11/11/2015
last visited: 11/5/2015
Shrunken Ned - Anaheim, CA
A fortune teller machine at Adventureland Bazaar in Disneyland.
date approved: 7/10/2015
Zultan the Pirate - St. Augustine, FL
This Zultan the Pirate fortune telling machine is located inside the Heritage Walk shopping mall in St. Augustine, Florida, USA.
posted by: Marine Biologist
location: Florida
date approved: 6/6/2015
last visited: 4/19/2016
Palm Reader - St. Augustine, FL
This Palm Reader fortune telling machine is located inside the Heritage Walk shopping mall in St. Augustine, Florida, USA.
Zoltar - St. Augustine, FL
This Zoltar fortune telling machine is located inside the Heritage Walk shopping mall in St. Augustine, Florida, USA.
last visited: 1/17/2016
Zoltar - The Closet Antiques & Collectibles - Old Sacramento, CA
This coin operated machine resides behind some red metal doors as part of The Closet Antiques & Collectibles storefront on Front Street in Old Sacramento.
posted by: thebeav69
date approved: 2/19/2015
ZOLTAN - Maingate Factory Outlet - Kissimmee, FL
ZOLTAN's located just inside the door at Maingate Factory Outlet in Kissimmee, Florida.
posted by: mTn_biKer65
date approved: 12/23/2014
Ask the Brain - Jungle Jim's International Market, Fairfield, Ohio
Ask the Brain Coin-Operated Fortune Telling Machine is located inside Jungle Jim's International Market at 5440 Dixie Highway Fairfield, Ohio
posted by: DougandSandra
location: Ohio
date approved: 10/28/2014
last visited: 10/31/2015
Zoltar - The Big Texan - Amarillo, Texas, USA.
Zoltar - Located inside the Big Texan Steakhouse. The 'Big Texan' once stood alongside Route 66, now alongside the Interstate I-40, Amarillo, Texas.
posted by: veritas vita
date approved: 10/21/2014
last visited: 1/13/2015
Mathondis - Murdo, SD
This Mathondis fortune telling machine is one of the many attractions at the Pioneer Auto Show in Murdo. South Dakota.
posted by: Siren Hunter
date approved: 9/2/2014
Zoltar - Monterey, CA
Another Zoltar in Monterey.
date approved: 8/14/2014
Miss Kittty - Monterey, CA
A Miss Kitty fortune machine in Monterey.
Zoltar - Half Moon Bay, CA
A Zoltar at Oddyssea in Half Moon Bay.
date approved: 8/12/2014
Zoltar - San Francisco, CA
A Zoltar in San Francisco, CA.
Zoltar Ocean City Maryland
On the boardwalk, next to" Ripley's belive it or not"
posted by: ASMJOHN
location: Maryland
date approved: 8/4/2014
last visited: 9/5/2015
Ol' Miner Fortune Teller - Bonnie Springs, NV
Fortune Telling Machine at Bonnie Springs Guest Ranch.
posted by: The 2 Newlyweds
date approved: 7/6/2014
last visited: 2/25/2015
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Welcome to the new website of Family Promise. Please take a moment to look around and learn who we are and how we help our surrounding communities.
We are Family Promise and we believe transorming the lives of homeless families. Because every child deserves a home.
This year in America, more than 2.5 million children and their parents will experience homelessness. Help us lower that number as much as possible by either becoming a volunteer and or providing donations.
If you want to help, you can find what your looking for anywhere within this site.
Like us on Facebook.


text:
Sports briefs Thursday
Wisconsin's Dorcas Akinniyi was in sixth heading into Friday's final day of the heptathlon at the NCAA championships in Eugene, Ore.
Two other UW performers qualified for Friday's finals in their events — Austin Mudd in the 1,500 meters and Ashley Beutler in the 3,000-meter steeplechase.
Bolt loses: Olympic champion Usain Bolt was beaten by Justin Gatlin in the 100 meters at the Rome Golden Gala Diamond League meeting.
American Gatlin, bronze medalist at the London Games, ran 9.94 seconds to beat Bolt by 0.01 seconds.
Cedarburg High baseball coach Jack Friess won his 500th game Thursday when the Bulldogs beat West Bend East, 7-3.
Friess is 500-447 in his 35th season with the Bulldogs.
"Five hundred is special," Friess said. "As I said out here after the game, it's a credit to the kids. Coaches can't play the games."
Chinooks win: Travis Enger's triple started a three-run third inning, leading the Lakeshore Chinooks to a 4-2 victory over the La Crosse Loggers at Kapco Field.
From Journal Sentinel staff and wire reports


text:
Bartlesville News
Local news for Bartlesville, OK continually updated from thousands of sources on the web.
Watch FOX23 Investigates Sunday at 5:30
Sunday Sep 4 | KRMG-AM Tulsa | Comment?
a Old, junky looka hot at 100-mile-long garage sale
Friday Sep 2 | The Wichita Eagle | Comment?
Bartlesville news is powered by NewsRank™
Updated: Tue Sep 20, 2016 01:43 pm
Copyright © 2016 Topix LLC


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Skylight presents intimate take on 'Porgy & Bess'
In the summer of 1926, George Gershwin returned home from rehearsals for a new musical. Wired and needing to clear his head, he picked up a recent bestselling novel as bedtime reading. He didn't put it down until he had finished it the following morning. The novel was DuBose Heyward's "Porgy."
In "The Life and Times of Porgy and Bess: The Story of an American Classic," Hollis Alpert describes what happened next: Gershwin was so excited "by the story and its author's apparent musical sensitivity" that he immediately wrote Heyward and suggested they collaborate on an opera. Nine years later, it made a now-legendary Broadway debut as "Porgy and Bess." »Read Full Article(1)
Milwaukee Film Festival picks: Day Eleven
One regrettable, if inevitable, occurrence during a film festival is that films you want to see often play opposite each other. That occurs Sunday at the Milwaukee Film Festival with parallel screenings of "The Act of Killing" (Downer Theatre) and "Big Star: Nothing Can Hurt Me" (Fox-Bay Cinema Grill), both at 8 p.m.
"The Act of Killing" is an appalling yet compelling and strangely beautiful documentary in which the Indonesian gangsters and paramilitary group members who killed 1 million Chinese "communists" in 1965 re-create their crimes as surreal movie scenes. »Read Full Blog Post


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#1 prescribed NOAC across the continuum of care*†1
DVT and PE Treatment and Risk Reduction
Proven efficacy and safety profile versus the standard of care (enoxaparin + warfarin)
Patient Stories
"I went to my doctor and he prescribed XARELTO®. It fit my lifestyle very well."
- Arnold Palmer
Discover the XARELTO® Starter Pack
DVT = deep vein thrombosis; NOAC = non-vitamin K antagonist oral anticoagulant; PE = pulmonary embolism.
*Hospital, Long-Term Care, Retail.
†Among Factor Xa inhibitors and direct thrombin inhibitors.


text:
Tunatic 1.0.1
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Let your computer identify your songs
Articles Tunatic
If I told you that your computer could recognize songs just by listening to them you probably wouldn't believe me. If you use Tunatic though, you'll manage to do just that.
To make the application work the inbuilt microphone of your computer needs to be working or you need to have a microphone installed. Just run your media player and let the computer listen to your tracks. You'll have to click on the interrogation mark in the application window for the program to search its database. It lists the title of the song and the artist's name as soon as it finds it.
Obviously Tunatic doesn't get it right all the time, and depends hugely on the database of songs that is being maintained by the developers. It is still quite a surprising tool and can find certain songs really quickly.
Once Tunatic finds a song, it will also let you search iTunes for it, let you look for the ring tone, or search Google to find the lyrics.
Tunatic may not work all the time, but it is a really clever way of finding title's of all those unnamed songs in your library. Worth a try.
- Identify songs by sound
- Links to web services (buy iTunes, buy ringtone, Google search lyrics
- Doesn't always work
"Tunatic is by far the absolute best and most accurate music ID software"
I have and use song/music ID software apps; Shazam (paid not the free one) Track-ID, Music DNA and also Tunatic. I need to constantly ID many different types of music except generic top 40. Tunatic is by far the absolute best and most accurate music ID software I've ever used. Yes it does take time to ID a song and even having to reload song again to get accurate track/title info but it's much much better than Shazam, Soundhound-Midoni, Track-ID, Music DNA and any/all other music ID software out there. I know because I've tried them ALL!! If your only needing to ID top 40 pop, r&B, rap, dance, indie rock, etc then you don't need Tunatic.
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Articles Tunatic
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Extract audio from YouTube videos
Ever wanted to extract the audio of a concert or favourite YouTube clip? Imagine if you could listen... See more


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The last known glove worn by Jackie Robinson isn't the only game-used artifact drawing attention from Steiner Sports. The firm's "Ground-Breaking" Auction also hosts jerseys from Stan Musial, Gil Hodges and Walter Payton, along with some memorable balls linked to Babe Ruth.
Tag Archives: stan musial
Jackie Robinson Game-Used Glove Leads Steiner's Massive 'Ground-Breaking' Auction
Humming a Few Bars With 'Oisk' aka Carl Erskine
Next Media Spotlight: The T206 'Jumbo' Wagner
Goldin Auctions kicked off its sale the last week of February, with big bids placed immediately. The headliner, a T206 Honus Wagner PSA 5(MC) is nearly at $1 million already and Ken Goldin feels that when the closing date of April 5 hits, $3 million isn't out of the question. And there's plenty more in the auction beyond the Wagner.


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You are currently browsing the category archive for the 'question' category.
Over on the polymath blog, I've posted (on behalf of Dinesh Thakur) a new polymath proposal, which is to explain some numerically observed identities involving the irreducible polynomials in the polynomial ring over the finite field of characteristic two, the simplest of which is
(expanded in terms of Taylor series in ). Comments on the problem should be placed in the polymath blog post; if there is enough interest, we can start a formal polymath project on it.
Let denote the Liouville function. The prime number theorem is equivalent to the estimate
as , that is to say that exhibits cancellation on large intervals such as . This result can be improved to give cancellation on shorter intervals. For instance, using the known zero density estimates for the Riemann zeta function, one can establish that
as if for some fixed ; I believe this result is due to Ramachandra (see also Exercise 21 of this previous blog post), and in fact one could obtain a better error term on the right-hand side that for instance gained an arbitrary power of . On the Riemann hypothesis (or the weaker density hypothesis), it was known that the could be lowered to .
Early this year, there was a major breakthrough by Matomaki and Radziwill, who (among other things) showed that the asymptotic (1) was in fact valid for any with that went to infinity as , thus yielding cancellation on extremely short intervals. This has many further applications; for instance, this estimate, or more precisely its extension to other "non-pretentious" bounded multiplicative functions, was a key ingredient in my recent solution of the Erdös discrepancy problem, as well as in obtaining logarithmically averaged cases of Chowla's conjecture, such as
It is of interest to twist the above estimates by phases such as the linear phase . In 1937, Davenport showed that
which of course improves the prime number theorem. Recently with Matomaki and Radziwill, we obtained a common generalisation of this estimate with (1), showing that
as , for any that went to infinity as . We were able to use this estimate to obtain an averaged form of Chowla's conjecture.
In that paper, we asked whether one could improve this estimate further by moving the supremum inside the integral, that is to say to establish the bound
as , for any that went to infinity as . This bound is asserting that is locally Fourier-uniform on most short intervals; it can be written equivalently in terms of the "local Gowers norm" as
from which one can see that this is another averaged form of Chowla's conjecture (stronger than the one I was able to prove with Matomaki and Radziwill, but a consequence of the unaveraged Chowla conjecture). If one inserted such a bound into the machinery I used to solve the Erdös discrepancy problem, it should lead to further averaged cases of Chowla's conjecture, such as
though I have not fully checked the details of this implication. It should also have a number of new implications for sign patterns of the Liouville function, though we have not explored these in detail yet.
One can write (4) equivalently in the form
uniformly for all -dependent phases . In contrast, (3) is equivalent to the subcase of (6) when the linear phase coefficient is independent of . This dependency of on seems to necessitate some highly nontrivial additive combinatorial analysis of the function in order to establish (4) when is small. To date, this analysis has proven to be elusive, but I would like to record what one can do with more classical methods like Vaughan's identity, namely:
Proposition 1 The estimate (4) (or equivalently (6)) holds in the range for any fixed . (In fact one can improve the right-hand side by an arbitrary power of in this case.)
The values of in this range are far too large to yield implications such as new cases of the Chowla conjecture, but it appears that the exponent is the limit of "classical" methods (at least as far as I was able to apply them), in the sense that one does not do any combinatorial analysis on the function , nor does one use modern equidistribution results on "Type III sums" that require deep estimates on Kloosterman-type sums. The latter may shave a little bit off of the exponent, but I don't see how one would ever hope to go below without doing some non-trivial combinatorics on the function . UPDATE: I have come across this paper of Zhan which uses mean-value theorems for L-functions to lower the exponent to .
Let me now sketch the proof of the proposition, omitting many of the technical details. We first remark that known estimates on sums of the Liouville function (or similar functions such as the von Mangoldt function) in short arithmetic progressions, based on zero-density estimates for Dirichlet -functions, can handle the "major arc" case of (4) (or (6)) where is restricted to be of the form for (the exponent here being of the same numerology as the exponent in the classical result of Ramachandra, tied to the best zero density estimates currently available); for instance a modification of the arguments in this recent paper of Koukoulopoulos would suffice. Thus we can restrict attention to "minor arc" values of (or , using the interpretation of (6)).
Next, one breaks up (or the closely related Möbius function) into Dirichlet convolutions using one of the standard identities (e.g. Vaughan's identity or Heath-Brown's identity), as discussed for instance in this previous post (which is focused more on the von Mangoldt function, but analogous identities exist for the Liouville and Möbius functions). The exact choice of identity is not terribly important, but the upshot is that can be decomposed into terms, each of which is either of the "Type I" form
for some coefficients that are roughly of logarithmic size on the average, and scales with and , or else of the "Type II" form
for some coefficients that are roughly of logarithmic size on the average, and scales with and . As discussed in the previous post, the exponent is a natural barrier in these identities if one is unwilling to also consider "Type III" type terms which are roughly of the shape of the third divisor function .
A Type I sum makes a contribution to that can be bounded (via Cauchy-Schwarz) in terms of an expression such as
The inner sum exhibits a lot of cancellation unless is within of an integer. (Here, "a lot" should be loosely interpreted as "gaining many powers of over the trivial bound".) Since is significantly larger than , standard Vinogradov-type manipulations (see e.g. Lemma 13 of these previous notes) show that this bad case occurs for many only when is "major arc", which is the case we have specifically excluded. This lets us dispose of the Type I contributions.
A Type II sum makes a contribution to roughly of the form
We can break this up into a number of sums roughly of the form
for ; note that the range is non-trivial because is much larger than . Applying the usual bilinear sum Cauchy-Schwarz methods (e.g. Theorem 14 of these notes) we conclude that there is a lot of cancellation unless one has for some . But with , is well below the threshold for the definition of major arc, so we can exclude this case and obtain the required cancellation.
The Chowla conjecture asserts that all non-trivial correlations of the Liouville function are asymptotically negligible; for instance, it asserts that
as for any fixed natural number . This conjecture remains open, though there are a number of partial results (e.g. these two previous results of Matomaki, Radziwill, and myself).
A natural generalisation of Chowla's conjecture was proposed by Elliott. For simplicity we will only consider Elliott's conjecture for the pair correlations
For such correlations, the conjecture was that one had
as for any natural number , as long as was a completely multiplicative function with magnitude bounded by , and such that
for any Dirichlet character and any real number . In the language of "pretentious number theory", as developed by Granville and Soundararajan, the hypothesis (2) asserts that the completely multiplicative function does not "pretend" to be like the completely multiplicative function for any character and real number . A condition of this form is necessary; for instance, if is precisely equal to and has period , then is equal to as and (1) clearly fails. The prime number theorem in arithmetic progressions implies that the Liouville function obeys (2), and so the Elliott conjecture contains the Chowla conjecture as a special case.
as for any natural number , as long as was a completely multiplicative function with magnitude bounded by , and such that
for any Dirichlet character and any real number . In the language of "pretentious number theory", as developed by Granville and Soundararajan, the hypothesis (2) asserts that the completely multiplicative function does not "pretend" to be like the completely multiplicative function for any character and real number . A condition of this form is necessary; for instance, if is precisely equal to and has period , then is equal to as and (1) clearly fails. The prime number theorem in arithmetic progressions implies that the Liouville function obeys (2), and so the Elliott conjecture contains the Chowla conjecture as a special case.
As it turns out, Elliott's conjecture is false as stated, with the counterexample having the property that "pretends" locally to be the function for in various intervals , where and go to infinity in a certain prescribed sense. See this paper of Matomaki, Radziwill, and myself for details. However, we view this as a technicality, and continue to believe that certain "repaired" versions of Elliott's conjecture still hold. For instance, our counterexample does not apply when is restricted to be real-valued rather than complex, and we believe that Elliott's conjecture is valid in this setting. Returning to the complex-valued case, we still expect the asymptotic (1) provided that the condition (2) is replaced by the stronger condition
as for all fixed Dirichlet characters . In our paper we supported this claim by establishing a certain "averaged" version of this conjecture; see that paper for further details. (See also this recent paper of Frantzikinakis and Host which establishes a different averaged version of this conjecture.)
One can make a stronger "non-asymptotic" version of this corrected Elliott conjecture, in which the parameter does not go to infinity, or equivalently that the function is permitted to depend on :
Conjecture 1 (Non-asymptotic Elliott conjecture) Let , let be sufficiently large depending on , and let be sufficiently large depending on . Suppose that is a completely multiplicative function with magnitude bounded by , such that
for all Dirichlet characters of period at most . Then one has
for all natural numbers .
The -dependent factor in the constraint is necessary, as can be seen by considering the completely multiplicative function (for instance). Again, the results in my previous paper with Matomaki and Radziwill can be viewed as establishing an averaged version of this conjecture.
Meanwhile, we have the following conjecture that is the focus of the Polymath5 project:
Conjecture 2 (Erdös discrepancy conjecture) For any function , the discrepancy
is infinite.
It is instructive to compute some near-counterexamples to Conjecture 2 that illustrate the difficulty of the Erdös discrepancy problem. The first near-counterexample is that of a non-principal Dirichlet character that takes values in rather than . For this function, one has from the complete multiplicativity of that
If denotes the period of , then has mean zero on every interval of length , and thus
Thus has bounded discrepancy.
Of course, this is not a true counterexample to Conjecture 2 because can take the value . Let us now consider the following variant example, which is the simplest member of a family of examples studied by Borwein, Choi, and Coons. Let be the non-principal Dirichlet character of period (thus equals when , when , and when ), and define the completely multiplicative function by setting when and . This is about the simplest modification one can make to the previous near-counterexample to eliminate the zeroes. Now consider the sum
with for some large . Writing with coprime to and at most , we can write this sum as
Now observe that . The function has mean zero on every interval of length three, and is equal to mod , and thus
for every , and thus
Thus also has unbounded discrepancy, but only barely so (it grows logarithmically in ). These examples suggest that the main "enemy" to proving Conjecture 2 comes from completely multiplicative functions that somehow "pretend" to be like a Dirichlet character but do not vanish at the zeroes of that character. (Indeed, the special case of Conjecture 2 when is completely multiplicative is already open, appears to be an important subcase.)
All of these conjectures remain open. However, I would like to record in this blog post the following striking connection, illustrating the power of the Elliott conjecture (particularly in its nonasymptotic formulation):
Theorem 3 (Elliott conjecture implies unbounded discrepancy) Conjecture 1 implies Conjecture 2.
The argument relies heavily on two observations that were previously made in connection with the Polymath5 project. The first is a Fourier-analytic reduction that replaces the Erdos Discrepancy Problem with an averaged version for completely multiplicative functions . An application of Cauchy-Schwarz then shows that any counterexample to that version will violate the conclusion of Conjecture 1, so if one assumes that conjecture then must pretend to be like a function of the form . One then uses (a generalisation) of a second argument from Polymath5 to rule out this case, basically by reducing matters to a more complicated version of the Borwein-Choi-Coons analysis. Details are provided below the fold.
There is some hope that the Chowla and Elliott conjectures can be attacked, as the parity barrier which is so impervious to attack for the twin prime conjecture seems to be more permeable in this setting. (For instance, in my previous post I raised a possible approach, based on establishing expander properties of a certain random graph, which seems to get around the parity problem, in principle at least.)
(Update, Sep 25: fixed some treatment of error terms, following a suggestion of Andrew Granville.)
Here's a cute identity I discovered by accident recently. Observe that
and so one can conjecture that one has
when is even, and
when is odd. This is obvious in the even case since is a polynomial of degree , but I struggled for a while with the odd case before finding a slick three-line proof. (I was first trying to prove the weaker statement that was non-negative, but for some strange reason I was only able to establish this by working out the derivative exactly, rather than by using more analytic methods, such as convexity arguments.) I thought other readers might like the challenge (and also I'd like to see some other proofs), so rather than post my own proof immediately, I'll see if anyone would like to supply their own proofs or thoughts in the comments. Also I am curious to know if this identity is connected to any other existing piece of mathematics.
The lonely runner conjecture is the following open problem:
Conjecture 1 Suppose one has runners on the unit circle , all starting at the origin and moving at different speeds. Then for each runner, there is at least one time for which that runner is "lonely" in the sense that it is separated by a distance at least from all other runners.
One can normalise the speed of the lonely runner to be zero, at which point the conjecture can be reformulated (after replacing by ) as follows:
Conjecture 2 Let be non-zero real numbers for some . Then there exists a real number such that the numbers are all a distance at least from the integers, thus where denotes the distance of to the nearest integer.
This conjecture has been proven for , but remains open for larger . The bound is optimal, as can be seen by looking at the case and applying the Dirichlet approximation theorem. Note that for each non-zero , the set has (Banach) density for any , and from this and the union bound we can easily find for which
for any , but it has proven to be quite challenging to remove the factor of to increase to . (As far as I know, even improving to for some absolute constant and sufficiently large remains open.)
The speeds in the above conjecture are arbitrary non-zero reals, but it has been known for some time that one can reduce without loss of generality to the case when the are rationals, or equivalently (by scaling) to the case where they are integers; see e.g. Section 4 of this paper of Bohman, Holzman, and Kleitman.
In this post I would like to remark on a slight refinement of this reduction, in which the speeds are integers of bounded size, where the bound depends on . More precisely:
Proposition 3 In order to prove the lonely runner conjecture, it suffices to do so under the additional assumption that the are integers of size at most , where is an (explicitly computable) absolute constant. (More precisely: if this restricted version of the lonely runner conjecture is true for all , then the original version of the conjecture is also true for all .)
In principle, this proposition allows one to verify the lonely runner conjecture for a given in finite time; however the number of cases to check with this proposition grows faster than exponentially in , and so this is unfortunately not a feasible approach to verifying the lonely runner conjecture for more values of than currently known.
One of the key tools needed to prove this proposition is the following additive combinatorics result. Recall that a generalised arithmetic progression (or ) in the reals is a set of the form
for some and ; the quantity is called the rank of the progression. If , the progression is said to be -proper if the sums with for are all distinct. We have
Lemma 4 (Progressions lie inside proper progressions) Let be a GAP of rank in the reals, and let . Then is contained in a -proper GAP of rank at most , with
Proof: See Theorem 2.1 of this paper of Bilu. (Very similar results can also be found in Theorem 3.40 of my book with Van Vu, or Theorem 1.10 of this paper of mine with Van Vu.)
Now let , and assume inductively that the lonely runner conjecture has been proven for all smaller values of , as well as for the current value of in the case that are integers of size at most for some sufficiently large . We will show that the lonely runner conjecture holds in general for this choice of .
let be non-zero real numbers. Let be a large absolute constant to be chosen later. From the above lemma applied to the GAP , one can find a -proper GAP of rank at most containing such that
in particular if is large enough depending on .
We write
for some , , and . We thus have for , where is the linear map and are non-zero and lie in the box .
We now need an elementary lemma that allows us to create a "collision" between two of the via a linear projection, without making any of the collide with the origin:
Lemma 5 Let be non-zero vectors that are not all collinear with the origin. Then, after replacing one or more of the with their negatives if necessary, there exists a pair such that , and such that none of the is a scalar multiple of .
Proof: We may assume that , since the case is vacuous. Applying a generic linear projection to (which does not affect collinearity, or the property that a given is a scalar multiple of ), we may then reduce to the case .
By a rotation and relabeling, we may assume that lies on the negative -axis; by flipping signs as necessary we may then assume that all of the lie in the closed right half-plane. As the are not all collinear with the origin, one of the lies off of the -axis, by relabeling, we may assume that lies off of the axis and makes a minimal angle with the -axis. Then the angle of with the -axis is non-zero but smaller than any non-zero angle that any of the make with this axis, and so none of the are a scalar multiple of , and the claim follows.
We now return to the proof of the proposition. If the are all collinear with the origin, then lie in a one-dimensional arithmetic progression , and then by rescaling we may take the to be integers of magnitude at most , at which point we are done by hypothesis. Thus, we may assume that the are not all collinear with the origin, and so by the above lemma and relabeling we may assume that is non-zero, and that none of the are scalar multiples of .
We write
with for ; by relabeling we may assume without loss of generality that is non-zero, and furthermore that
with for ; by relabeling we may assume without loss of generality that is non-zero, and furthermore that
for . We can also factor
where is a natural number and have no common factor.
where is a natural number and have no common factor.
We now define a variant of by the map
where the are real numbers that are linearly independent over , whose precise value will not be of importance in our argument. This is a linear map with the property that , so that consists of at most distinct real numbers, which are non-zero since none of the are scalar multiples of , and the are linearly independent over . As we are assuming inductively that the lonely runner conjecture holds for , we conclude (after deleting duplicates) that there exists at least one real number such that
We would like to "approximate" by to then conclude that there is at least one real number such that
It turns out that we can do this by a Fourier-analytic argument taking advantage of the -proper nature of . Firstly, we see from the Dirichlet approximation theorem that one has
for a set of reals of (Banach) density . Thus, by the triangle inequality, we have
for a set of reals of density .
Applying a smooth Fourier multiplier of Littlewood-Paley type, one can find a trigonometric polynomial
which takes values in , is for , and is no larger than for . We then have
where denotes the mean value of a quasiperiodic function on the reals . We expand the left-hand side out as
From the genericity of , we see that the constraint
occurs if and only if is a scalar multiple of , or equivalently (by (1), (2)) an integer multiple of . Thus
Next, we consider the average
and is the Dirichlet series
Next, we consider the average
and is the Dirichlet series
By Fourier expansion and writing , we may write (4) as
The support of the implies that . Because of the -properness of , we see (for large enough) that the equation
implies that
and conversely that (7) implies that (6) holds for some with . From (3) we thus have
implies that
and conversely that (7) implies that (6) holds for some with . From (3) we thus have
In particular, there exists a such that
Since is bounded in magnitude by , and is bounded by , we thus have
for each , which by the size properties of implies that for all , giving the lonely runner conjecture for .
The (presumably) final article arising from the Polymath8 project has now been uploaded to the arXiv as "The "bounded gaps between primes" Polymath project – a retrospective". This article, submitted to the Newsletter of the European Mathematical Society, consists of personal contributions from ten different participants (at varying levels of stage of career, and intensity of participation) on their own experiences with the project, and some thoughts as to what lessons to draw for any subsequent Polymath projects. (At present, I do not know of any such projects being proposed, but from recent experience I would imagine that some opportunity suitable for a Polymath approach will present itself at some point in the near future.)
This post will also serve as the latest (and probably last) of the Polymath8 threads (rolling over this previous post), to wrap up any remaining discussion about any aspect of this project.
I've just uploaded to the arXiv the D.H.J. Polymath paper "Variants of the Selberg sieve, and bounded intervals containing many primes", which is the second paper to be produced from the Polymath8 project (the first one being discussed here). We'll refer to this latter paper here as the Polymath8b paper, and the former as the Polymath8a paper. As with Polymath8a, the Polymath8b paper is concerned with the smallest asymptotic prime gap
where denotes the prime, as well as the more general quantities
In the breakthrough paper of Goldston, Pintz, and Yildirim, the bound was obtained under the strong hypothesis of the Elliott-Halberstam conjecture. An unconditional bound on , however, remained elusive until the celebrated work of Zhang last year, who showed that
The Polymath8a paper then improved this to . After that, Maynard introduced a new multidimensional Selberg sieve argument that gave the substantial improvement
unconditionally, and on the Elliott-Halberstam conjecture; furthermore, bounds on for higher were obtained for the first time, and specifically that for all , with the improvements and on the Elliott-Halberstam conjecture. (I had independently discovered the multidimensional sieve idea, although I did not obtain Maynard's specific numerical results, and my asymptotic bounds were a bit weaker.)
In Polymath8b, we obtain some further improvements. Unconditionally, we have and , together with some explicit bounds on ; on the Elliott-Halberstam conjecture we have and some numerical improvements to the bounds; and assuming the generalised Elliott-Halberstam conjecture we have the bound , which is best possible from sieve-theoretic methods thanks to the parity problem obstruction.
There were a variety of methods used to establish these results. Maynard's paper obtained a criterion for bounding which reduced to finding a good solution to a certain multidimensional variational problem. When the dimension parameter was relatively small (e.g. ), we were able to obtain good numerical solutions both by continuing the method of Maynard (using a basis of symmetric polynomials), or by using a Krylov iteration scheme. For large , we refined the asymptotics and obtained near-optimal solutions of the variational problem. For the bounds, we extended the reach of the multidimensional Selberg sieve (particularly under the assumption of the generalised Elliott-Halberstam conjecture) by allowing the function in the multidimensional variational problem to extend to a larger region of space than was previously admissible, albeit with some tricky new constraints on (and penalties in the variational problem). This required some unusual sieve-theoretic manipulations, notably an "epsilon trick", ultimately relying on the elementary inequality , that allowed one to get non-trivial lower bounds for sums such as even if the sum had no non-trivial estimates available; and a way to estimate divisor sums such as even if was permitted to be comparable to or even exceed , by using the fundamental theorem of arithmetic to factorise (after restricting to the case when is almost prime). I hope that these sieve-theoretic tricks will be useful in future work in the subject.
With this paper, the Polymath8 project is almost complete; there is still a little bit of scope to push our methods further and get some modest improvement for instance to the bound, but this would require a substantial amount of effort, and it is probably best to instead wait for some new breakthrough in the subject to come along. One final task we are performing is to write up a retrospective article on both the 8a and 8b experiences, an incomplete writeup of which can be found here. If anyone wishes to contribute some commentary on these projects (whether you were an active contributor, an occasional contributor, or a silent "lurker" in the online discussion), please feel free to do so in the comments to this post.
This should be the final thread (for now, at least) for the Polymath8 project (encompassing the original Polymath8a paper, the nearly finished Polymath8b paper, and the retrospective paper), superseding the previous Polymath8b thread (which was quite full) and the Polymath8a/retrospective thread (which was more or less inactive).
On Polymath8a: I talked briefly with Andrew Granville, who is handling the paper for Algebra & Number Theory, and he said that a referee report should be coming in soon. Apparently length of the paper is a bit of an issue (not surprising, as it is 163 pages long) and there will be some suggestions to trim the size down a bit.
In view of the length issue at A&NT, I'm now leaning towards taking up Ken Ono's offer to submit the Polymath8b paper to the new open access journal "Research in the Mathematical Sciences". I think the paper is almost ready to be submitted (after the current participants sign off on it, of course), but it might be worth waiting on the Polymath8a referee report in case the changes suggested impact the 8b paper.
Finally, it is perhaps time to start working on the retrospective article, and collect some impressions from participants. I wrote up a quick draft of my own experiences, and also pasted in Pace Nielsen's thoughts, as well as a contribution from an undergraduate following the project (Andrew Gibson). Hopefully we can collect a few more (either through comments on this blog, through email, or through Dropbox), and then start working on editing them together and finding some suitable concluding points to make about the Polymath8 project, and what lessons we can take from it for future projects of this type.
This is the eleventh thread for the Polymath8b project to obtain new bounds for the quantity
the previous thread may be found here.
The main focus is now on writing up the results, with a draft paper close to completion here (with the directory of source files here). Most of the sections are now written up more or less completely, with the exception of the appendix on narrow admissible tuples, which was awaiting the bounds on such tuples to stabilise. There is now also an acknowledgments section (linking to the corresponding page on the wiki, which participants should check to see if their affiliations etc. are posted correctly), and in the final remarks section there is now also some discussion about potential improvements to the bounds. I've also added some mention of a recent paper of Banks, Freiberg and Maynard which makes use of some of our results (in particular, that ). On the other hand, the portions of the writeup relating to potential improvements to the MPZ estimates have been commented out, as it appears that one cannot easily obtain the exponential sum estimates required to make those go through. (Perhaps, if there are significant new developments, one could incorporate them into a putative Polymath8c project, although at present I think there's not much urgency to start over once again.)
Regarding the numerics in Section 7 of the paper, one thing which is missing at present is some links to code in case future readers wish to verify the results; alternatively one could include such code and data into the arXiv submission.
It's about time to discuss possible journals to submit the paper to. Ken Ono has invited us to submit to his new journal, "Research in the Mathematical Sciences". Another option would be to submit to the same journal "Algebra & Number Theory" that is currently handling our Polymath8a paper (no news on the submission there, but it is a very long paper), although I think the papers are independent enough that it is not absolutely necessary to place them in the same journal. A third natural choice is "Mathematics of Computation", though I should note that when the Polymath4 paper was submitted there, the editors required us to use our real names instead of the D.H.J. Polymath pseudonym as it would have messed up their metadata system otherwise. (But I can check with the editor there before submitting to see if there is some workaround now, perhaps their policies have changed.) At present I have no strong preferences regarding journal selection, and would welcome further thoughts and proposals. (It is perhaps best to avoid the journals that I am editor or associate editor of, namely Amer. J. Math, Forum of Mathematics, Analysis & PDE, and Dynamics and PDE, due to conflict of interest (and in the latter two cases, specialisation to a different area of mathematics)).
This is the tenth thread for the Polymath8b project to obtain new bounds for the quantity
the previous thread may be found here.
Numerical progress on these bounds have slowed in recent months, although we have very recently lowered the unconditional bound on from 252 to 246 (see the wiki page for more detailed results). While there may still be scope for further improvement (particularly with respect to bounds for with , which we have not focused on for a while, it looks like we have reached the point of diminishing returns, and it is time to turn to the task of writing up the results.
A draft version of the paper so far may be found here (with the directory of source files here). Currently, the introduction and the sieve-theoretic portions of the paper are written up, although the sieve-theoretic arguments are surprisingly lengthy, and some simplification (or other reorganisation) may well be possible. Other portions of the paper that have not yet been written up include the asymptotic analysis of for large k (leading in particular to results for m=2,3,4,5), and a description of the quadratic programming that is used to estimate for small and medium k. Also we will eventually need an appendix to summarise the material from Polymath8a that we would use to generate various narrow admissible tuples.
One issue here is that our current unconditional bounds on for m=2,3,4,5 rely on a distributional estimate on the primes which we believed to be true in Polymath8a, but never actually worked out (among other things, there was some delicate algebraic geometry issues concerning the vanishing of certain cohomology groups that was never resolved). This issue does not affect the m=1 calculations, which only use the Bombieri-Vinogradov theorem or else assume the generalised Elliott-Halberstam conjecture. As such, we will have to rework the computations for these , given that the task of trying to attain the conjectured distributional estimate on the primes would be a significant amount of work that is rather disjoint from the rest of the Polymath8b writeup. One could simply dust off the old maple code for this (e.g. one could tweak the code here, with the constraint 1080*varpi/13+ 330*delta/13<1 being replaced by 600*varpi/7+180*delta/7<1), but there is also a chance that our asymptotic bounds for (currently given in messy detail here) could be sharpened. I plan to look at this issue fairly soon.
Also, there are a number of smaller observations (e.g. the parity problem barrier that prevents us from ever getting a better bound on than 6) that should also go into the paper at some point; the current outline of the paper as given in the draft is not necessarily comprehensive.


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the WHITE HOUSEPresident Barack Obama
The White House
Office of the Press Secretary
For Immediate Release
February 20, 2012
Readout of President Obama's Call with President Karzai
President Obama spoke with President Karzai of Afghanistan today. They discussed regional support for Afghan-led reconciliation, the Afghanistan-Pakistan-Iran trilateral meetings last week in Islamabad, and other strategic issues of mutual concern. They agreed to speak again soon to remain closely aligned as both countries continue our efforts to achieve common goals, and work to forge a long-term partnership.


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If you're like us, you're an avid label reader, especially when it comes to scrutinizing food items to determine what we ultimately put in our bodies. But what about everyday products we breathe and apply to our skin such as air fresheners and insect repellents?
Have you ever considered checking the label of these products to determine what might be entering our systems through the air and our skin and the effect they may have on our health?
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We at Purple Frog are driven to limit our dependency on synthetic products and reintroduce chemical-free solutions – in simple, convenient and innovative ways – that Mother Nature has left literally, "right under our noses."
PROLOGUE – Introducing THE Purple Frog
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They're also kind of cute, don't you think?
PART 1 – Before Purple Frog
Challenges are common in the world of Purple Frog. However, long before Purple Frog was even a forethought, one of the founders. Andrew, faced the biggest challenge of his life. At 17, in his rural southern Ontario hometown, he was diagnosed with Hodgkin's Lymphoma…cancer.
Andrew's perspective changed and changed dramatically from a vibrant, unassuming teenager to one who fixated more on understanding. He wanted to know what factors might have attributed to a healthy 17 year old contracting the disease and how to mitigate the risk of recurrence. What he ultimately discovered is now the foundation of Purple Frog today.
"It's the environment, stupid!" is a common phrase in the healthy living community and was originally adapted from an iconic campaign quote from Bill Clinton – "it's the economy, stupid." This also symbolizes the most relevant discovery made during Andrew's quest for understanding.
Through education (B.Sc. Ecology at the University of Guelph) and personal exploration, he began to realize that the environmental conditions he was exposed to may have directly contributed to his illness. Poor air quality (from a one of the largest source polluting outlets in North America) and overexposure to chemical pesticides/herbicides during work were all linked to various forms of cancer in the region he grew up in. Whether these were the primary culprits or just contributing factors, a more concerted focus on clean, ambient air and chemical free products became common practice. One of the keys to sustaining his health was through the incorporation of homeopathy and natural alternatives, such as essential oils which he still maintains unwavering advocacy for today.
PART 2 – Starting Something that Matters
Just two guys, living health conscious lives with the inspiration to add a little bit of wellness to the world…one drop of essential oil at a time!
As passionate entrepreneurs and dedicated to all things clean living, Andrew and his co-founder Irfanali (Irf) C.A, C.P.A, were motivated to reach further and combine their professional skills to establish a brand that promoted healthy alternatives and represented a beacon of innovation, education and change. The focus was built on the term, conscious entrepreneurism, a business mantra inspired by the book, "Start Something that Matters," from Tom Shoes founder, Blake Mycoski.
Offer something of value (wellness), then cycle the applause back into the world which it emanated (1% for the Planet, Allergy and Asthma Society).
"The more you give, the more you live."– Bob Dedman
With a common appreciation for the therapeutic power of essential oils (aromatherapy) and witnessing firsthand the effects that chemical based products, such as insect sprays and air fresheners can have on our health (especially the susceptible immune systems of children), they set forth to make a difference and create something that matters.
They set forth to create a powerful, clean new way to freshen our air while providing a convenient method to experience the wellness benefits of aromatherapy. They established a new way of,
Bringing Nature to Your Nose.
To be continued…
Purple Frog is passionate about providing products that promote healthy living, 100% Natural and safe. Instead of creating just another product, we set out to do something different, and we think you'll agree that we did just that.
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1999 Subaru Legacy Wagon Outback Limited 30th Anniversary 4dr Wagon AWD
We have now had three Subaru Legacy/Outback wagons. We purchased our first Limited about a year ago with 155k on the clock. This car amazes me even more than the other 2 ever have. This 14 year old car performs perfectly. All the "luxury" features work flawlessly.It cruses around corners and along highways like a BMW. Take it down a dirt road and you'll fall in love. Whenever it snows, I know I am going to get where I need to go without a doubt. These cars are incredibly safe and not one function was overlooked by Subaru. Truly a quality, do-it-all luxury wagon! Only wish it had the dual sunroof..
The leather seats still get hot, the heated washer fluid works wounder is a true lifesaver,
and the heated mirrors are quite handy in Pennsylvania winter weather. There are obvious improvements in the stereo system as well with 4 door speakers and 4 tweets. Oh, and of course Subaru AWD!
Cup holders, but that issue has already been addressed!
I have a 1992 legacy 2.2 with 245K miles, that still works flawlessly. However, I needed a lower mileage vehicle so how could I go wrong with another Suby so I bought a 1999 which now has 101K (I think because the speedometer/odometer is garbage). The 2.2 SOHC changed from a noninterference on my 92, to interference on the 2.2 SOHC 99 (won't get off with just a broken timing belt). No speedometer cable on the 99 only cheap three strand spaghetti wires (way too many). Subaru changed from reliable, to electrically ridden piles of crap, overpriced for the reliability. Love the wagon though. Ford Freestyles are a great AWD wagon alternative,good mpg too :). Sorry Subaru this will be my last one.
AWD. Capacity.
Go back to what you were good at Subaru. Instead of saving a buck you should think about your loyal consumers who won't buy another Subaru now. Oh and the cup holder, better off holding a cup between your legs.
208,000 miles and still running strong. New head gasket, transmission,wheel bearings,struts,sway bars, and lots of oil leaks and I still love it. It has 2 sun roofs, 9 speaker stereo, heated leather, whats not to love. Last year in 24 hours we got 36" of snow in north Idaho, I pushed the snow with the back bumper out into the street. it came over the roof and down the hood. We're taking a family road trip to the San Diego zoo in May, in the Subaru. I have no doubt my car will do amazing. This car has blown me away every day since I bought it. I've put 130,000 of the 208,000 miles on it, the tires wear great. I just put on my 3rd set this spring. I can't emphasize it enough, I love my Subaru!
The all-wheel-drive, dual sunroofs, sound system, rear seat leg and head room. Leather steering wheel/shifter. Frameless windows, fog lights, heated mirrors and windshield glass under wipers. The hood scoop is great, the roof rack is very useful. Versatility of rear seat configuration. Most everything.
Better clear coat. Different front sunroof gasket. More reliable auto trans... Eliminate head gasket problems and oil leaks. Longer lasting struts, more durable fog light glass. Fix HVAC quirks. Only half of my drivers heated seat works (the back). I still love it!
Have 110,000 miles on the car and I bought it with 60k on it used. I do all my own work on my cars and I did not really have anything besides routine maintenance until about 103k. At that time the driver side wheel bearing went out and needed to be replaced. Soon after the front crank seal started to leak really bad. I pulled apart the front of the engine and replaced the seal, timing belt because it was due, coolant, belts, hoses, and the water pump ($60 insurance). The oil leak caused quite a bit of smoke for a small leak. Now the front seal is fixed but one of the valve covers has a leak as well as the oil pan, which are all rather close to the exhaust resulting in a slight smell.
Excellent handling, especially in the snow. Heated seats and other cold weather features for going snowboarding. Excellent cargo capacity. Good stock stereo.
Cup holders were remedied in 2000, make it so that the ABS ring does not shatter when dismantling the bearing assembly. Better fuel economy would also be good. I get 24 mph on the freeway.
Burnt valve. Complete engine
replacement. Need I say more, but I
will. We (family) bought this car as
an SUV/Minivan alternative and as a
good, all-around utility vehicle, but
now that we have 2 kids it is way too
small. The car is completely
underpowered--I always had my foot to
the floor. Both my wife and I have
owned three subarus in the past, but
we are now thru. I needed 150,000
miles out of this one, and only got
half that. Its now for sale, after a
$3,000 repair. After a little
research, It appears that they had
problems with this engine and reverted
back to the SOHC design the next year.
Handling, AWD.
more room, better engine.
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Parliamentary panel to examine merger of budgets
The parliamentary panel on finance has decided to 'examine' the move along with its "ramifications thereof".
Cabinet approval for merger of Rail budget with Union budget likely today
The finance ministry has proposed that the budget be presented on F...
Railways could be freed of populism after budget unification
With the railway budget often becoming a political gravy train, the state-run transporter was forced to divert resources even as unfinished projects piled up.
Cabinet clears merger of Railways and Union Budgets
Union Cabinet has cleared finance ministry's proposals to reform the entire budgetary process, including advancing the date of budget presentation.
Industry lauds move to merge rail with general budget
The Cabinet decided to merge rail budget with the general budget and agreed in-principle to advance the date of its presentation in Parliament.
All you need to know about the Budget reboot
The Union Cabinet has officially ended the practice of putting up a separate Railway Budget, which started in 1924, by merging it with the General Budget. Watch all you need to know about the budget merger with ET Now.
Watch: DEA Secy and Finance Secy on Budget reboot
Watch what DEA Secretary Shaktikanta Das and Finance Secretary Ashok Lavasa have to say on the budget reboot.
Cabinet approves merger of Railways & Union Budget
Union Cabinet has cleared finance ministry's proposals to reform the entire budgetary process, including advancing the date of budget presentation.
Cabinet to consider Budget presentation on February 1
The proposal for advancing of the budget and the merger of the railway budget with it will be considered tomorrow at a meeting of the union Cabinet.
Budget overhaul, advancement of session on Cabinet agenda
The Cabinet is likely to suggest a window for the Budget session and subsequently CCPA would take final decision on the exact date for the session.
These online budget hotel startups swear by the full inventory model
The online budget room space, it seemed, was getting cramped, and there was no room for people like Gupta who had embraced a full inventory model.
Finance Ministry may talk to Election Commission before finalising Budget date
The Finance Ministry has proposed that the Budget presentation be fixed for February 1 and the entire exercises be completed by March 24.


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Rania apartments, built in the traditional architectural style of the Cyclades, are located in the town of Mykonos only 100 meters from the waterfront. There is a very easy access to all the beautiful beaches of the island as well as the famous nigh
Studios & Houses, a tailor-made complex that follows the traditional style of the Cycladic architecture, is considered to be the ideal choice for your accommodation if you decide to visit the island of Mykonos for your holidays. Sea side studios & su
The luxury of paying less on accommodation and spending more on fun, while on holidays in western Crete. Conveniently located on the edge of the historical seaside village of Maleme, Summer Lodge, is a family run vacation lodging by the beach.
A small quiet and very clean Guesthouse ( B/B )in Naoussa / Paros / Greece , an excellent starting point for visits to the sights of Island Paros in Cyclades/Greece... We try always our best for our Guests . Try us !!!
charming seaside hotel on the smallest of the saronic gulf islands. all rooms are individual designed,with seaview,a/c,fridge mountainbikes for free. possibility of sailing ,diving and horseriding workshops:NVC,NIA,CRYSTAL HEALING,YOGA,INTUITION
Just 18km to the west of Heraklion , in the center of a beautiful seaside village called Agia Pelagia, lies Renia hotel-apartments. It is built in traditional Greek island architecture and in modern Greek style . Only 70m from the sandy
Traditional hotel IANTHE is located in VESSA, one of the Medieval villages of Chios, in the centre of island, in distance 19 km of city Chios. The village took his name probably from the Homirian name [bissa]=[valey] .
Hotel Yianna, situated only 2 minutes from the sandy beaches of Skala,The hotel consists of twin and double rooms also availible large appartments, the facility's include swiming pool with sun terrrace, garden bar, and our own taverna
Aristoteles is a superior C'class central hotel which displays the true values of Greek hospitality . Rooms with all modern comfort ensuring a unique stay in this ancient and charming city
Villa Rosa is a small guest house situated in the geek village Karterados which is a 20 minute walk from the main town fira The village provide car rental moro bike resturants supermarket and local bus service to all destinations
Find a Greece bed and breakfast for your romantic weekend getaway. Intimate b & bs are cozy, romantic accommodations that are perfect for a mini-vacation, honeymoon, or wedding anniversary celebration. You will love the unique charm of our Greece inns. Many guesthouses include complimentary breakfasts and unbeatable hospitality. Browse our bed & breakfasts and plan your Greece romantic getaway today!


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Jewelry for You! How to Make Handmade Beaded Bracelets and Necklaces
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Simple Beaded Bangle
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Turn a simple bangle into a colorful accessory using a strand of beads and some embroidery thread. These Simple Beaded Bangles are so easy to make and fun to mix and match. Wear one or ten and add some color and style to your favorite summer outfit.
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Aug 03, 2013
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Added by lexusrepairanaheim Subscribe 0
Published 5 Oct 2011
Lexus Transmission Repair Anaheim - Lexus Timing Belt Repairs Anaheim http://carrepairanaheim.com/lexus-tr...
Lexus Transmission Repair Anaheim - Lexus Timing Belt Repairs Anaheim http://carrepairanaheim.com/lexus-transmission-repair-anaheim-lexus-timing-belt-repairs-anaheim.php Car Repair Anaheim CA does Lexus transmission repairs right in the Anaheim CA area. For 30 years we have been dedicated to the automotive service industry and are a trustworthy partner for you transmission needs. Our hand picked ASE Certified Master Technicians conducts your car or SUV services. Trained in Lexus repairs and diagnoses we can spot a timing belt problem before we put your car on the racks. An AAA approved repair facility we're known for our personal customer care, fair pricing and our 3-Year/36,000 Mile Warranty on most repairs. Huntington Beach - 714-465-5288 Cypress - 714-395-5957


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Keith Thurman is Likely To Return on April Date
By Rick Reeno
Golden Boy Promotions CEO Richard Schaefer advised BoxingScene.com that he was pretty "confident" that undefeated WBA interim-welterweight champion Keith Thurman (22-0, 20KOs) was going to return to the ring in the month of April - on the 19th or 26th. For April 19th, Schaefer has placed the Alamodome on hold in San Antonio, Texas - and April 26th is heading to Los Angeles. One of those two April dates will grab the Adrien Broner-Marcos Maidana rematch. Thurman had a big 2013, with victories over Jan Zaveck, Diego Chaves and Jesus Soto Karass.
[QUOTE=tdub2222;14122359]Thurman vs porter is the fight I want:boxing:[/QUOTE] Would be great at the Broner-Maidana undercard. Winner gets winnerComment by WESS on 01-11-2014
Surprised their not putting him on in May.Comment by beast702 on 01-11-2014
Thurman vs Porter. Or if Ortiz gets by Collazo. I think Thurman vs Ortiz could be a fun fight.Comment by Hougigo on 01-11-2014
I wonder if they'll make that.....Brook most likely will be voicing his position.Comment by El Angel on 01-11-2014
Thurman-Porter please!Post a Comment - View More User Comments (28)


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February 24, 2016
I played my new tune "Home is Where the Car is" on the new Shady Pines Media web series 'Shows on the Road'! Watch me fly down the street at terrifying speeds while calmly playing my guitar and serenading the entire Internet. All in a day's work.
December 8, 2015
On January 9, we'll be playing the last Chonk show in the Bay Area before I move to northern land of wet and green, Portland. We'll be sharing the stage with my good friend Ariel Wang's band and Blisses B. Gonna be a heluva a throwdown. See ya there!
December 5, 2015
I'll be playing a solo set at Brendan's art show at 8pm
September 18, 2015
Join us this Halloween Eve at The Starry Plough in Berkeley for a night celebrating the strange, the demented, and the fanciful with Thee Hobo Gobbelins, Chonk, and Invisible Cinema.
September 8, 2015
Chonk will be playing the first annual BrokenStrings Folk Punk festival and campout in September. We'll be playing on Saturday the 25th.
Broken Strings is an incredible folk-punk campout at beautiful Camp Pollock, a former Boy Scout campground on the banks of the American River. It's under a mile from downtown Sacramento, and not far from public transportation….
August 30, 2015
We're playing a show a Green Tortoise Hostel with Suntundra Moon, Swim Lessons, Robert Quijano, Gray Tolhurst, and Sin Dedos. 6:30pm – Midnight at 494 Broadway, SF. No Cover!
August 12, 2015
"Pizza and Nutella is a fucking delicious combination and so is Chonk's new EP Golden Nuggets. "
July 28, 2015
The new Chonk video is here! Big thanks to everyone involved in making this, particularly Heather Lund who produced it, and Dorian, Kevin Willing, Anthony, and Julian who helped shoot it. Also thanks to everyone who acted in it, and came out to party with us in the forest – Mitchell, Hannah, Brian Grupé, Cherron, Callie, Kevin Mathieu, Taylor G., Mel, Marian, Roland, Adella, L.a., Jonathan, Nick Reetz, Ryan Boone, Dustin, Peter, Mike, Marisa, Alex Day… Hope you enjoy it!
July 16, 2015
Check out Chonk performing "Buried" live in Kamran's van! The Red Van Sessions is a new web series spinning off from 2013-2014's Lemon Tree Sessions by Kamran and Brian. One song performed in a big red van on the move, coupled with a short interview.
July 14, 2015
The very first viewing of the "Yellow Snowcone" music video by human eyeballs will happen around 6:40pm, followed by a live Chonk set with the band. It's free to get in, and there will be a full bar and food! GONNA BE AWESOME. Come on out!
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*NO OPTs. They prefer USC / GCs / TN Visa or visa independent candidates but if you have someone matching the skills on H1B or EAD except Opt / CPT then please submit. *
please send resumes to yahe...@exatechinc.com Open position for today, Please have a look and send me most suitable resume of your consultants *Position Location Exp required * Sr software Engineer - Java Clojure Salt Lake City - UTAH 9+ Senior NoSQL Administrator Salt Lake City - UTAH 9+ Senior DevOps/SaltStack Engineer Salt Lake City - UTAH 9+ Open Stack Cloud Architect El Segundo, CA 9+ Regards AHMED *Exatech Inc* 7588 Central Parke Blvd, Suite 307, Mason, OH 45040 *Phone:* 5134335603 *Email:**yahe...@exatechinc.com* <recruite...@exatechinc.com> *Web:**www.exatechinc.com* <http://www.exatechinc.com/> -- You received this message because you are subscribed to the Google Groups "Oracle-SCM" group. To unsubscribe from this group and stop receiving emails from it, send an email to oracle-scm+unsubscr...@googlegroups.com. To post to this group, send email to email@example.com. Visit this group at https://groups.google.com/group/oracle-scm. For more options, visit https://groups.google.com/d/optout.


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Top Definition
The title of a magazine devoted to (you guessed it) guns and ammo.
by BlastMaster September 15, 2003
Trending Now
Can you define these popular missing words?
Check out all my other definitions i've submmited...you'll figure out what these two things are.
Heckler & Koch USP 9mm, Colt Combat Special Government .45, Glock 20 10mm, Smith & Wesson Model 629 .44 Magnum, Luger P'08 9mm, M4 Carbine 5.56mm, Accuracy International AWM .300 Winchester Magnum, Heckler & Koch PSG1 7.62mm, Stoner Model 63(A) 5.56mm, Heckler & Koch MP5 9mm, Heckler & Koch UMP .45, Thompson Model 1928 .45, Walther MPL 9mm, Heckler & Koch G3A3, MAC 10 .45, Desert Eagle .44 Magnum, Ruger Super Redhawk .454 Casull, Colt Python .357 Magnum, Walther PPK 7.65mm, AK47 7.62x39mm, Colt Single Action Army .45, Heckler & Koch P7M8 9mm, Uzi 9mm, Mossberg Model 500 12 gauge, Franchi SPAS 12 12 gauge, Barrett M82A1 .50 BMG, Colt Model 1911A1.
by JoeBob September 06, 2003


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From Wikipedia, the free encyclopedia
Klausen may refer to:
- Germany
- Klausen, Germany - an ortsgemeinde in Rhineland-Palatinate
- Italy
- Klausen, South Tyrol - a municipality in South Tyrol
- Switzerland
- Klausen (surname) - a surname.
|This disambiguation page lists articles associated with the title Klausen.
If an internal link led you here, you may wish to change the link to point directly to the intended article.


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Professionals from Better Homes and Gardens offer free advice
Think of it as Better Homes and Gardens in 3-D.
The magazine's editors will be at the Boston Store Brookfield Home Gallery on Jan. 26 for free design consultations and a trend presentation. Senior editor Amy Panos; senior interior designer Joseph Boehm; and style director Max Wilker will be at the store, 18615 W. Bluemound Road, to help with design plans and to offer guidance on upcoming trends. »Read Full Article
Hank the Brewers' dog toys with the Cubs
Hank the Brewers' dog has a new chew toy.
The fact that it is a Chicago Cubs stuffed animal is coincidence. »Read Full Article
Chicago Shakespeare delivers emotionally raw 'Gypsy'
Chicago — In "Finishing the Hat," Stephen Sondheim describes "Gypsy" — the 1959 musical for which Jule Styne wrote the music, Arthur Laurents wrote the book and Sondheim himself wrote the lyrics — as "probably the best" example of the soon-to-fade, "straightforward, character-driven musical play."
No argument here, and that's one reason I headed south to see the outstanding production of "Gypsy" that's on stage at Chicago Shakespeare Theater. The second is director Gary Griffin, who has now directed six Sondheim musicals at Chicago Shakes and who understands Sondheim as well as any living director. »Read Full Article
Report: 'Bitter feud' between '12 Years a Slave' Oscar winners John Ridley, Steve McQueen
Say what you will about the Oscars telecast, but one thing was undeniable: Neither Mequon native John Ridley, screenwriter of best picture winner "12 Years a Slave," nor the film's director, Steve McQueen, thanked the other in their acceptance speeches.
According to The Wrap the pair are embroiled in "a bitter feud regarding credit" for the film's screenplay, "a fight they kept quiet for the good of the" Oscar campaign." »Read Full Blog Post(3)
Oscars ratings top last year's, beat any night of Olympics
One-of-a-kind programming like the Oscars is why networks are in the event business.
They provide a big-time ratings boost. Sunday's Oscars telecast on ABC was no exception, earning a 27.1 rating for WISN-TV (Channel 12), between 7:30 and 11:07 p.m. »Read Full Blog Post
Watch: Found Footage Fest pranks WITI morning show
Found Footage Festival founders Nick Prueher and Joe Pickett pranked several Midwestern TV morning shows, including WITI-TV (Channel 6), as first reported by MediaBistro.com.
Prueher posed as an incompetent chef named Keith Guerke, who showed viewers how to make meals out of leftovers. Pickett and Prueher annually appear in the area with a program of what they describe as "odd and hilarious found videos." »Read Full Blog Post(1)
'12 Years a Slave' screenwriter John Ridley on where he'll keep his Oscar
In the video interview from Oscar night below, Mequon native John Ridley, who the adapted screenplay award for "12 Years a Slave," tells Vanity Fair where he'll keep it.
Spoiler alert: He's sending it to his parents. »Read Full Blog Post
John Axford throws perfect Oscar game
Cleveland Indians closing pitcher, and former Milwaukee Brewer, John Axford went 18 for 18 in his Oscar predictions. He threw a perfect Oscar game, reported Deadspin.
This despite, by his own admission, not having seen all the nominees. »Read Full Blog Post(1)
Top of the Charts: Pharrell Williams 'Happy' to take No. 1
As the Academy Awards arrived Sunday night, Pharrell Williams might not have won an Oscar, but his consolation prize at the top of the Billboard Hot 100 isn't too shabby. Watch the video for the big new hit below, then strap yourself into your time machine to go back and see which songs were the biggest in the United States this week in 2004, 1994, 1984 and 1974.
No. 1 hit March 3, 2014 »Read Full Blog Post
Countdown to Spring: 18 days
We are finally in the month where spring originated and still snow and cold remain the most-often used four-letter words for the weather. Perhaps now we can start using another -- hope.
If you're looking for something to do or maybe just a diversion from ice and snow, Lorrie Moore feels your pain. She left bitter Wisconsin winters behind for softer ones in Tennessee. She returns to the state tonight for a reading of her "Bark: Stories" a collection of short stories at 7 p.m. at Boswell Book Company. »Read Full Blog Post


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Russian firm ready to develop Iranian gas field
Another Russian company Lukoil suffered a $63 million loss when it withdrew from a project in the Aran oilfield
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Zarubezhneftegaz Company of Russia has announced readiness to develop a newly discovered gas field in Iran.
The Russian company had signed an MOU with Iran in 2010, the Pana News Agency reported.
The gas field is located near the South Pars gas field in the Persian Gulf.
The company will soon open an office in Tehran, an official with Zarubezhneftegaz said, adding that it is ready to carry out exploration, drilling, extraction, and refining operations in Iran's oil and gas industry.
In November 2009 Russian Gazprom and National Iranian Oil Company (NIOC), signed a memorandum of understanding, to cooperate on the development of the Azar and Changuleh oil fields, with estimated reserves of 2 billion barrels.
However, in August 2011 Iran changed its mind and rebuffed Russian participation after deciding to operate the fields using a local consortiums. Iran said Russia had failed to meet its obligations and was therefore breaking the agreement.
Another Russian company Lukoil suffered a $63 million loss when it withdrew from a project in the Aran oilfield.
Iran sits on the world's second largest natural gas reserves after Russia and is trying to grow its gas production by increasing foreign and domestic investments, especially in its South Pars gas field.
Top Headlines
- Nip, tuck: Dubai's grand plans for being a major player in medical tourism
- Zain, UNHCR, Facebook to bring free internet access to urban refugees in Jordan
- Yemen Central Bank headquarters to relocate from Sanaa to Aden
- IMF report details the crippling economic effects of conflict in MENA
- Start Up Lebanon entrepreneurs head to Silicon Valley Roadshow
- Russia's Lukoil opens Tehran office
- Iranian official denies Gazprom is pulling out of South Pars gas field
- Iranian oil firm inks $850-million deal to develop an Iran-UAE offshore field
- What's in it for who? Swedish and Russian firms to help Iran dig for oil in the Caspian sea
- Japanese Company to Develop Gas Field in Iran