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|By Jason Bloomberg
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|June 30, 2014 08:17 AM EDT
Adjectives like "swashbuckling" and "romantic" rarely if ever apply to enterprise technology, so the fact that "rogue" IT is now a Thing should give one pause. Errol Flynn swooping down from a yardarm, disarming smile on his too-handsome face? Hardly the image you'd expect bringing your iPhone to work would elicit.
Yet rogues there be, sneaking digital contraband into their cubicle, unbeknownst to IT Big Brother. And while we all like to bend the rules, if only to shake up our Dilbertian existence with a fleeting moment of swashbucklery, rogue IT goes far beyond your secret Angry Birds at work addiction, or dare we say, that contraband DropBox account your entire team surreptitiously shares.
Rogues, after all, come in all shapes and sizes. When the rank and file practice a bit of derring do, it's one thing. When Big Brothers themselves – the executives who steer the ship – practice rogue IT, it's quite another. Yet this top-down scalawagness pervades enterprises far and wide, threatening to upend the IT ship altogether, CIO and all. The name of this nefarious ne'er-do-well? Your Digital Transformation Strategy.
Digital Transformation: A Rogue's Gallery
Imagine, if you will, you've been working your way up the officer's ranks of your vessel, and now you're the captain (or other C-level executive) of this ship you call your enterprise. Information Technology has always been a powerful asset in your treasure chest, from the early data processing days to the rise of monolithic enterprise apps. Then the Web and its evil twin Y2K hit, knocking you and your ship for a loop, promising a New Economy yet delivering a dot.com crash. After that perfect storm you told yourself you'd never again fall for the empty promises of the new technology sirens, singing their songs of business transformation but delivering only broken dreams.
Yet here we are, in the 2010s, and the siren song of new technology is louder than ever – and this time, there are far more voices in this craven chorus: Cloud Computing! Big Data! Social Media! Mobile Apps! DevOps! Added to this cacophony are the digital denizens of this new era, the Googles and the Amazons and the Netflixes, no longer mere dot.com darlings, but massive behemoths out to take a piece of everyone's pie, including yours. This time, sitting on the sidelines is not an option. Siren song or no, the world of business is changing, and your enterprise must change as well, or risk the deadly depths of the Charybdis of digital disruption and irrelevance.
But then you wake up from this reverie and look once again at the cold, hard reality of budgets and balance sheets, and you realize your IT department has their hands full with dull, dreary, yet absolutely essential legacy systems of record – all those numerous apps and infrastructure that have been collecting over the decades, sucking up money, yes, but keeping you in business all the while. Disruptive innovation is all very fine and good, but legacy technology and disruption don't mix. That old gear is just too brittle and important to mess with, right?
That's when it hits you: it's time to go rogue. Your IT department has way too much on its plate to handle the digital transformation you crave so desperately. So instead of asking your CIO to drive these new initiatives, you hire a Chief Digital Officer (CDO) to don the pirate gear, raise the Jolly Roger, and take your ship on an adventure into the wondrous digital future.
Hear that Ticking? Beware the Digital Disruption Time Bombs
We all know that genuine pirates and other such rogues are ruthless criminals, and yet a century of Hollywood mythmaking has turned them into heroes, courageous nonconformists who can justify their questionable deeds because of the presumably greater evil of the establishment from which they have rebelled. Today, we consider CDOs and their digital transformation initiatives to be examples of rogue IT – bucking the establishment, true, but with the best interests of the enterprise at heart. Motivation enough to forgive a bit of swashbuckling, perhaps?
After all, the legacy technology that runs the established portion of the business has a history of intractability. Legacy modernization has a reputation as being expensive, risky, and often lacking clear business drivers. And when we tried to abstract our legacy as flexible Services with the last decade's SOA initiatives, we found that architectural approach to be more expensive and difficult than we expected. Most SOA initiatives overpromised and underdelivered, leaving CDOs with few options but to go rogue and build digital initiatives largely separate from establishment IT.
Errol Flynn and his modern counterpart Johnny Depp notwithstanding, is it truly in the long-term best interest of the company for the CDO to go rogue? In the short term, absolutely. The technology buzzwords du jour aren't holding still, and moving quickly is essential to successful digital transformation. And if there's one thing traditional IT is bad at, it's moving quickly. Yet, while Johnny Depp's Jack Sparrow has yet to meet his maker at the end of a rope, enterprises who place strategic bets on rogue IT risk two major time bombs going off in their face.
Time bomb #1: thinking that you can achieve the benefits of digital transformation without dealing with the legacy mess. It's tempting indeed to leave the established order behind. Many organizations think of their legacy IT as a single Gordian knot of complexity, where the only way to fix it is to somehow fix or replace the whole thing – an impossible task that would never come close to justifying its expense. The pirate's life sounds wondrous in comparison.
But remember, legacy is not monolithic. It's heterogeneous and multifaceted, and you don't have to fix the whole thing. Your core business agility drivers from transformation initiatives must connect to specific legacy goals while moving legacy toward agility, not away from it. Yes, you must pick your battles, as the legacy you do bring into your digital initiative will take time and money to fix – but never forget that your enterprise wouldn't be where it is today if it weren't for the best of your legacy.
The challenges with legacy modernization in support of digital transformation are first, to tackle the right problems, and second, to take an approach that will actually work. After all, such fixes require both the appropriate abstraction as well as technology that can support those abstractions. Not SOA – or at the least, not only SOA, but one big step above SOA. For specific legacy capabilities to properly support the digital transformation, we need a better approach for abstracting legacy assets to drive agility, an architectural approach freed from middleware and laser focused on the business agility drivers from the digital transformation initiative.
Even if you think you can avoid time bomb #1, however, you must also navigate your way past time bomb #2: Realizing you have to do something about the legacy mess, but thinking there's a shortcut. Examples of such shortcuts: migrating legacy apps to the Cloud, feeding existing data into Hadoop without a strategy for collecting new information, or perhaps building mobile app interfaces onto aging Web apps that were never designed to support them. True, you may be able to get any of these examples to work, but you'll have missed the point of digital transformation initiatives: they're not about the digital, they're about the transformation. After all, your entire legacy IT shop is already digital. Transformation requires entirely new approaches, not shortcuts.
The Intellyx Take
Perhaps you're not convinced by my scintillating, scoundrel-infused diatribe. Your digital transformation initiative is doing just fine on its own, thank you very much, while IT keeps the legacy lights on, and never the twain shall meet. Sorry to shiver your timbers, but you're not alone in your market. Your competition also struggles with their legacy burden, and the spoils will go to those enterprises who successfully deal with their legacy as part of their digital transformation. If you don't get this right, then your competition will, and no amount of derring-do will save your digital transformation initiative then.
The good news for some organizations is that if you have been successful with SOA you're ahead of the game (and I know there are a few of you out there who actually got SOA to work). But regardless of whether SOA paid off for you or not, to meet your strategic goals with your digital transformation initiative, you must follow a well-architected approach that both understands and connects the business drivers for digital transformation to specific, tactical legacy initiatives.
Remember, transformation drivers are always business agility drivers, which means Agile Architecture is absolutely essential to digital transformation success: an iterative, dynamic approach that focuses on solving problems instead of paperwork, an approach that incorporates regular input from stakeholders – in other words, architecture that is inherently Agile. Going rogue may be fun, but it's high time for your CDO and CIO to work together – or even be the same person. Errol Flynn would be proud.
Jason Bloomberg is the leading expert on architecting agility for the enterprise. As president of Intellyx, Mr. Bloomberg focuses on empowering people to achieve business agility in their organizations by a paradigm-shifting approach to architecting agility called Bloomberg Agile Architecture™. During his twelve years at ZapThink, he created and delivered the Licensed ZapThink Architect (LZA) SOA course and associated credential. He now runs the Bloomberg Agile Architecture Certification Course around the world and provides Agile Architecture advisory and related services to business executives, architecture teams, and software vendors. His latest book is The Agile Architecture Revolution (Wiley, 2013).
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"I'm absolutely convinced that the threat we face now, the idea of a terrorist in the middle of one of our cities with a nuclear weapon, is very real and that we have to use extraordinary measures to deal with it."
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"When you say there is no partner, then only one partner is left: the terrorists. This is a mistake of the first order."
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Christmas horror as toddler stopped breathing
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A Kawhia family's Christmas Day turned to horror after their youngest child stopped breathing and had to be rushed to hospital.
The Pareanga whanau were at home in the harbour town enjoying their new Christmas presents when the youngest of seven children, Hope, 2, collapsed and stopped breathing.
Hope's mother Louise Pareanga, 32, said her daughter went outside after lunch to play on the waterslide with her older siblings when she had a seizure.
"They just started screaming," Pareanga said.
"She had collapsed on the ground and was having a seizure and by the time I got out there she had stopped breathing."
Pareanga has basic first aid training, but in a moment of panic, the lessons departed her.
"Because it's your child and you don't want to lose them you just panic.
"I forgot what to do and then it came back to me and I did the right thing. It scares the hell out of you."
The family called 111 and local St John officers rushed to the the scene to stabilise Hope.
Her temperature was dangerously high and her heart rate was 179 beats per minute. Ambulance staff thought she would go into cardiac arrest.
"The ambulance officer who was first to assess her is actually her pre-school teacher," Pareanga said.
"It is such a small community and she was freaking out because this is a girl she has in her daycare."
They transferred Hope to an ambulance that travelled down from Hamilton and she was taken to Waikato Hospital with her father by her side.
Pareanga travelled by car to Hamilton and got updates from her sister who works for St John ambulance. Her two eldest children travelled with her.
Hope had an erratic heart rate and was diagnosed with a heart murmur, but doctors don't yet know the cause of the seizure and she will have to have further tests in the new year.
She's back home now and strong enough to play with her Christmas presents.
While in hospital, Hope was given a teddy bear called Edward which takes pride of place with the rest of her toys.
"An orderly with a smile on her face just walked in and handed us a teddy bear without really saying anything."
Pareanga said the teddy bear was donated to the hospital by members of the public.
"These people have donated all these presents to any children who have come into the ward on Christmas Day."
- Waikato Times
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Moving to or from Norman, OK, 73069? Get FREE truck rental rate quotes at LWM. U-Haul rental trucks are specifically engineered from the ground up to assist moving families, not freight. Our moving trucks have more safety features than other moving trucks in the industry including gentle ride suspension and high visibility mirrors to assist the driver. Whether you are moving a smaller apartment or a large four-bedroom house, U-Haul truck rentals in Norman, OK will provide you with the moving truck rental you need to get from point A to point B. Find the perfect size moving truck to assist with your move, U-Haul is home of the $19.95 rental truck!
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Jamie was very helpful
I was supposed to receive a receipt via e-mail for an insurance claim as the computer was down when I checked in the truck. I have not received the receipt as yet. Please forward a receipt. I was also charged for fuel in the amount of $17.50, and this is incorrect since I returned the truck with the same amount of fuel in the truck when I rented it. Please credit my account with $17.50. I tried to answer the email that was sent re the fuel charge but the mail contained an error and when I attempted to send it it was returned as undeliverable.
Nothing . Excellent experience . Nothing broken and no issue with vehicle . Mileage allowance and prices reasonable .thanks
Actually talk to the customer returning the truck rather than just say, "Leave the keys on the desk.." then go back to whatever it was they were doing. It really made me wonder if the truck would get checked in properly or if I would be charged for something that happened to the truck after leaving it at the location. A simple walk around with the customer dropping off would go a long way for peace of mind.
Keep up the good work.
According to the uhaul agreement the fuel should have been 3/4 full but was under the half tank mark.
I was also told I could choose a drop off location but then received an email with a location already predetermined.
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Originally Posted by 850R
You should have returned him any of the other times you said you were going to. But you didn't.
and also:
You should have returned him any of the other times you said you were going to. But you didn't.
I hope that point is clear.
Now according to the thread title [& all the included exclamation marks involved] he has been exposed to ich. You HAVE to tell them this, Have you even asked them if they will take it? You really should.
Do you think they are going to take it and nurse it back to health? That is not what happens to fish that are sick and taken to the LFS.
No - Fix the Ich.
So you r saying I should fix the ick before I return it
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The Top 10 Sports Stories of 2015
Track and field standout Vernon Norwood, right, races to victory in the finals of the 400-meter run at the NCAA Division 1 Outdoor Track and Field Championships in Eugene, Oregon, in June. In 2015, Norwood won both NCAA Indoor and Outdoor titles in the 400-meter run, won a title in the outdoor 4x400-meter run and advanced to the IAAF World Championships in Beijing, China, in August where he was a member of Team USA's 4x400-meter relay. Individually, he competed for Team USA in the 400-meter run, falling in the semifinals. (Submitted Photo/Courtesy of LSU Sports Information)
No. 1 MCHS alum Norwood makes his mark on the track
The legs of Morgan City High alum and track star Vernon Norwood were very good to the sprinter in 2015.
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Director David Gordon Green: "I find actors in unusual places"
I keep missing screenings of director David Gordon Greene's new film, Joe. I hear it's really good so I'm looking forward to catching it at some point.
Joe stars Nicholas Cage as ex-con Joe Ransom, who isn't the greatest of role models until he meets a 15-year-old boy (Mud's Tye Sheridan).
In this featurette, Green talks about hiring non-actors for his films and Cage, who is also interviewed in the video, discusses what it's like to work with the non-SAG'ers.
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Christine Baranski on the End of 'The Good Wife' and Going Back to Theatre
The final episode of The Good Wife airs on May 8, and it's been several weeks since series star Christine Baranski shot the final episode with her co-stars. She spoke to The Hollywood Reporter about the end of the series she has spent the last seven years working on and what she plans to do […]
Jake Gyllenhaal on 'Demolition', Working with Chris Cooper and Directors Who Want Nothing to Do With Him
"I think storytelling is the most important part of movie-making over performance." - Jake Gyllenhaal
Don Cheadle: "Be scared. Be on the edge of your creativity"
"Be willing to fall flat on your face and be in an unknown place. If you're doing that, you're probably growing" - Don Cheadle
What is Jesse Eisenberg's "Most Fulfilling Acting Experience"?
"My absolute favorite thing to do is to write a play and then, after I finish, do the first reading of it with my friends around the table"- Jesse Eisenberg
Lupita Nyong'o on Her Broadway Debut: "When we get up on that stage, you do not know what will happen"
"I think theater offers a chance to flex muscles that then only help to sustain cinematic work." - Lupita Nyong'o


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...For students in an English class, I will help them with critical reading and analysis so that they can fully understand whatever they are required to read. This will also help them explain their understanding to the teacher in written/essay form or orally (if called upon in class). I help stude...
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Mary (Susan), now semi-retired, has a B.S. in Physical Therapy from Indiana University and an M.A. in Physiology and Biophysics from Washington University (St Louis, MO). She has four years experience as an Instructor in Anatomy and Physiology within the Programs in Therapy at Washington University...
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...My knowledge and ability increased rapidly and I attained a US Chess Federation rating of over 2000, which is Expert class. (Master is 2200 and above.)Shortly after reaching Expert class, I began giving my first formal chess lessons ? with an adult, once a week for one hour. Eventually, I gave ...
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This profile was last updated on // .
Is this you? Claim your profile.
Administrative Specialist
Virginia State University
Carolina Farm Stewardship Association
www.carolinafarmstewards.org, 1 Nov 2008 [cached]
Virginia Agriculture Events Calendar
www.farmbureauvirginia.com, $reference.date [cached]
www.gourdorchestra.com, 24 Nov 2007 [cached]
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Tara Streetman
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Departing a wet runway 24.
Flight QGA18GA from Milan (MXP/LIMC) arrives runway 24.
Farnborough suffers a lot from heat haze, so a break of weak wintery sunshine was most welcome on a very overcast day. Seen parked on the Delta ramp with winglet-fitted Falcon 900LX M-ATEX in the ... (more)
At the stand.
Fly by .
Fly by with 8 others.
Backtracking runway 24 after performing engine tests.
Close-cropped front Port-side view of Ukraine Air Force (Border Guards) Antonov An-72P 07 (Red) Cn 36576096915, on final approach at the 1992 Farnborough Airshow, in Sep 1992, where it was also on... (more)
Bombardier background.
Not your normal bland bizjet colour scheme, seen departing runway 24.
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text:
PC Games
This page contains Spider-Man 3 Hints for PC called "Token collection" and has been posted or updated on May 9, 2007 by Anthony.
Boxshot & Details
- Developer: Beenox
- Publisher: Activision
- Genre: Action Platformer
- Release: May 4, 2007
- ESRB: Teen
Token collection
While swinging through the city you might hear a chime. This indicates that you are close to a token.
Report Problem
Please submit a problem for any incomplete, non-working or fake cheat listed above.
More Hints
From: LACLOVER
From: Jason D
From: Anthony
From: gadaliya
From: xangel
Back to all Cheats
From: Dhruv
Stuck in this game? Set a specific, clearly defined question and let other gamers answer your question or view answers to previously asked questions. If you think you are an expert then please try to help others with their questions.
Latest Questions
How enable cheat mode?
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How save women from the building 1st stage
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How to talk to the guy at Daily bugle?
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How defeat sandman quickly in show down
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In UMass Boston Twitter Poetry Contest, Limitation is a Trending Topic ›10 poems of 140 characters or less honored in third annual contest
Joiner Institute Presents Minoo Emami's "The Aura of War" in UMass Boston's Harbor Gallery ›The William Joiner Institute for the Study of War and Social Consequences presents Minoo Emami's "The Aura of War" from March 21 through April 26 in the Harbor Gallery. Emami's work focuses on the consequences of war, with a particular focus on war's effect on women.
Tags: harbor gallery, joiner institute
UMass Boston Faculty Will Return to China for Summer Graduate Seminar ›The 12 faculty members who joined last year's trip to Xi'an will discuss their experiences on Tuesday at 2:30 in the Campus Center.
Tags: college of science and mathematics, china, college of liberal arts, college of advancing and professional studies, college of education and human development
Call for Submissions: New Voices, New Stories ›Now accepting submissions from UMass Boston playwrights
Tags: performing arts, theatre, theater, theatre arts, play, playwrights festival, playwrights, theater festival, submission opportunity
Write a Poem in Exactly 140 Characters and Win Up to $100 in Gift Cards ›For the third consecutive year, the Creative Writing and MFA programs are sponsoring a Twitter Poetry Contest. Students have until Friday, March 4 at 5 p.m. to submit poems of exactly 140 characters to @UMBWrites.
UMass Boston Professors to Discuss Phillis Wheatley Saturday Before Theater Performance ›A group of professors who make up the UMass Boston Public Humanities Collaborative will be leading a discussion Saturday at the Central Square Theater on Wheatley Hall namesake Phillis Wheatley.
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UMass Boston Opens University Hall to Students ›Today marks the beginning of the phased opening of University Hall, UMass Boston's second new building in the last two years.
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[April 07, 2011]
NXP Strengthens RFID Portfolio With Advanced UHF and HF Solutions
(Market Wire Via Acquire Media NewsEdge) EINDHOVEN, NETHERLANDS and SAN JOSE, CA -- (MARKET WIRE) -- 04/07/11 -- NXP Semiconductors N.V. (NASDAQ: NXPI), the market leader in RFID solutions, today announced its latest high-performance UHF and HF offerings, including the UCODE G2iM and G2iM+ ICs, which offer up to 640 bits of segmentable user memory. The G2iM and G2iM+ are ideal for a wide range of high-memory applications for tags and labels, such as fast-moving consumer goods (FMCG); electronics; industrial production, assembly and quality control; electronic vehicle tagging, license plate tagging and windshield tagging; and production and spare part tagging in the automotive and aviation industries. In addition, NXP introduced the high-speed ICODE ILT (Item Level Tag) smart label IC, which enables very fast, reliable item identification in dense tag populations -- as required, for example, in medical and pharmaceutical applications.
"The UCODE i-Series from NXP unlocks the full power of UHF. We now deliver a comprehensive high-performance portfolio ranging from the UCODE G2iL and G2iL+ for cost-sensitive, low memory, ultra-high-volume RFID applications -- most notably in fashion and apparel -- to the new UCODE G2iM and G2iM+, which offer enhanced memory and features for more sophisticated applications such as FMCG and electronic vehicle tagging," said Chris Feige, general manager, tagging and authentication product line, NXP Semiconductors. "When it comes to item-level tagging in pharmaceutical and healthcare applications, the ICODE ILT offers unprecedented performance in terms of very high read speeds even with dense tag populations. The new UCODE and ICODE products we've introduced this week have also been fully tested in our RFID Application and System Center, and benefit from the insights we've gained in working with our customers in real-world application environments." A Solution for High Memory RFID ApplicationsThe G2iM and G2iM+ are the newest additions to NXP's breakthrough UCODE i-Series for UHF, and feature scalable EPC memory and extended user memory, up to 640 bits. The user memory can be segmented and protected with passwords, restricting access for increased security. This unique feature is particularly useful when several parties need access to the memory, but with different privileges. For example, in a production environment, the quality and assembly departments can use different areas of the memory to store data; similarly, in vehicle and asset tagging systems, local and state government authorities can use different areas, each protected by different passwords. Open memory access is also available for applications that don't require this level of security. The G2iM+ extends functionality to offer a multitude of optional features for theft deterrence, such as a product status flag, tag tamper notification and a digital switch feature, as well as privacy protection options such as Real Read Range Reduction (4R) and a battery mode to dramatically improve read and write sensitivity.
With 128 bits of EPC memory, the UCODE G2iM has 640 bits of user memory and 96 bits in the Tag Identifier memory (TID). The EPC memory is scalable to 448 bits on the G2iM+.
High Speed, High Reliability in Dense Tag EnvironmentsThe high-speed ICODE ILT smart label IC is based on the popular Gen2 protocol, and enables read speeds of 700 tags per second -- 11x the speed of previous offerings -- with excellent reliability, even in dense tag populations and at fast conveyer-belt speeds. The fast anti-collision speed also enables a high degree of tracking automation, particularly in applications requiring the identification of closely coupled items which would otherwise be difficult to process due to interference.
Target applications include medical and healthcare applications such as surgery sponge detection and patient wrist band identification; pharmaceutical ePedigree applications for anti-counterfeiting, product authentication and brand protection; document tracking applications, even with closely situated files and folders; casino applications for automated counting of stacks of chips; and laundry automation. The ICODE ILT is the first smart label IC of its kind compliant with ISO18000-3M3, and offers a best-in-class cost-performance ratio.
Worldwide harmonization of ISM band regulations enable hassle-free global use of the ICODE ILT smart label IC. The ICODE ILT also provides a well-defined reading area which delivers precise location detection, as well as a password-protected privacy mode.
AvailabilityNXP will showcase both new product families at RFID Journal LIVE! next week in Orlando, Florida (booth 204), along with the UCODE I2C IC for wireless device configuration announced earlier this week. The UCODE G2iM and G2iM+ products are currently sampling, with volume production scheduled to start in Q2. Additional information on the UCODE G2iM and G2iM+ is available at:
Engineering samples of the ICODE ILT are also currently available, with production starting later this year. Further information is available at:
About NXP SemiconductorsNXP Semiconductors N.V. (NASDAQ: NXPI) provides High Performance Mixed Signal and Standard Product solutions that leverage its leading RF, Analog, Power Management, Interface, Security and Digital Processing expertise. These innovations are used in a wide range of automotive, identification, wireless infrastructure, lighting, industrial, mobile, consumer and computing applications. A global semiconductor company with operations in more than 30 countries, NXP posted revenue of $4.4 billion in 2010. For more information, visit www.nxp.com.
Forward-looking StatementsThis document includes forward-looking statements which include statements regarding our business strategy, financial condition, results of operations, and market data, as well as any other statements which are not historical facts. By their nature, forward-looking statements are subject to numerous factors, risks and uncertainties that could cause actual outcomes and results to be materially different from those projected. These factors, risks and uncertainties include the following: market demand and semiconductor industry conditions, our ability to successfully introduce new technologies and products, the demand for the goods into which our products are incorporated, our ability to generate sufficient cash, raise sufficient capital or refinance our debt at or before maturity to meet both our debt service and research and development and capital investment requirements, our ability to accurately estimate demand and match our production capacity accordingly or obtain supplies from third-party producers, our access to production from third-party outsourcing partners, and any events that might affect their business or our relationship with them, our ability to secure adequate and timely supply of equipment and materials from suppliers, our ability to avoid operational problems and product defects and, if such issues were to arise, to correct them quickly, our ability to form strategic partnerships and joint ventures and successfully cooperate with our alliance partners, our ability to win competitive bid selection processes to develop products for use in our customers' equipment and products, our ability to successfully establish a brand identity, our ability to successfully hire and retain key management and senior product architects; and, our ability to maintain good relationships with our suppliers. In addition, this document contains information concerning the semiconductor industry and our business segments generally, which is forward-looking in nature and is based on a variety of assumptions regarding the ways in which the semiconductor industry, our market segments and product areas will develop. We have based these assumptions on information currently available to us, if any one or more of these assumptions turn out to be incorrect, actual market results may differ from those predicted. While we do not know what impact any such differences may have on our business, if there are such differences, our future results of operations and our financial condition could be materially adversely affected. Readers are cautioned not to place undue reliance on these forward-looking statements, which speak to results only as of the date the statements were made. Except for any ongoing obligation to disclose material information as required by the United States federal securities laws, we do not have any intention or obligation to publicly update or revise any forward-looking statements after we distribute this document, whether to reflect any future events or circumstances or otherwise. For a discussion of potential risks and uncertainties, please refer to the risk factors listed in our SEC filings. Copies of our SEC filings are available from on our Investor Relations website,
or from the SEC website,
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Dan Car
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Busco sexo con mujeres de 18 a 40 años. Placer garantizado!


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Draft and Trade Talk Message Board
- Reply to
Martinez Trade (Dynasty League)by Chris Feb 21, 2016 3:52 PMPatrick Patrick Feb 21, 2016 6:55 PM Flag
Wow you are giving way too much up IMO, offense is way more important than pitching
- Reply to
Who to Keep?by Keith Feb 20, 2016 12:47 PMPatrick Patrick Feb 20, 2016 1:14 PM Flag
Crawford and Dickerson, can you please answer my Trade offer ?
- Reply to
H2H Keeper draftby Jason Feb 20, 2016 12:59 PMPatrick Patrick Feb 20, 2016 1:09 PM Flag
Machado for sure, tough call on the 2nd guy.
Can you answer mine please!!
- Patrick Patrick Feb 20, 2016 1:03 PM Flag
- Patrick Patrick Feb 20, 2016 12:39 PM Flag
I would upgrade at SS too since I only have Turner, Arcia and Story on my roster right now.
- Patrick by Patrick Feb 20, 2016 11:42 AM Flag
Dynasty league:
I get Bautista, Corey Seager and Posey
I give: Braun, Schwarber, Glasnow, Trea Turner, Hosmer and Stroman
- Reply to
Rather have in Dynasty??by Patrick Feb 19, 2016 10:35 PMPatrick Patrick Feb 20, 2016 11:41 AM Flag
- Patrick by Patrick Feb 19, 2016 10:35 PM Flag
JD Martinez or Arrieta???
- Patrick Patrick Feb 18, 2016 2:55 PM Flag
Corey Seager!
- Patrick Patrick Feb 18, 2016 10:08 AM Flag
Corey Seager
- Patrick Patrick Feb 18, 2016 8:00 AM Flag
- Patrick by Patrick Feb 18, 2016 7:19 AM Flag
Team A Posey, Seager and Batusita
Team B McCutchen, Schwarber, Matz, Stroman, Osuna, Hosmer
- Patrick Patrick Feb 16, 2016 12:00 PM Flag
Yes Chris I am looking for Seager.
- Patrick Patrick Feb 16, 2016 9:13 AM Flag
this was offered to me
- Patrick by Patrick Feb 16, 2016 8:24 AM Flag
Which side in Dynasty?
Team A:Bautista,Corey Seager, Adrian Gonzalez, Paxton and Verlander
Team B: McCutchen, Schwarber, Matz, Stroman, Hosmer and Osuna
Team B looks better to me? but thoughts???
- Patrick by Patrick Feb 14, 2016 8:43 AM Flag
Team A Archer and Keuchel
Team B Arrieta and Melancon
- Patrick Patrick Feb 13, 2016 5:42 PM Flag
- Reply to
Dynasty offer:by Patrick Feb 13, 2016 11:17 AMPatrick Patrick Feb 13, 2016 1:38 PM Flag
What if we replaced Mccutchen to Marte?
- Patrick by Patrick Feb 13, 2016 1:34 PM Flag
Rather have:
Goldy or
McCutchen and Carrasco
- Patrick by Patrick Feb 13, 2016 11:17 AM Flag
I give: McCutchen, Arenado and Carrasco
I get : Goldy, Kyle Seager and Hayward
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To the editor:
As a liberal, I must confess to somewhat enjoying the GOP heartburn following the postponed election of a new speaker of the House.
"Chaotic," "unhinged," "fractured" and "banana republic" are just a few of the pejoratives Republicans themselves have used to describe their frantic search for a leader who can unite the party. I liken this search for unification to herding cats.
Kudos to our Sunset Beach leaders.
Over the past several years, you have had the foresight to preserve the only two precious Intracoastal parcels available. The possibility of selling this land for commercial development to increase our tax base would have been tragic. We now have a boat launch and trailer parking that is used by so many fishermen and for family recreation. The park that was so beautifully designed and constructed with the handicapped in mind is a source of pride for the present residents and for future generations. Thank you!
On Thursday, Oct. 1, at about 6:45 a.m., a Brunswick County Schools bus rolled through the stop sign onto U.S. 17 North from Tall Pines Plantation. What else?
There was a Brunswick County sheriff's deputy vehicle in the left lane, right where the bus entered the highway. There were five other vehicles watching all of this. Grrrr… I was very upset to see all this take place.
Safety first — that means stop at all stop signs!
Beverly Carlisle
The word gospel literally means "good news" and occurs in the New Testament. In Greek, it is the word euaggelion; in English, evangelist.
The gospel is the good news concerning Christ and the way of salvation. The key to understanding the gospel is to know why it is the good news.
From Nov. 30 to Dec. 11 this year, an international produce market will open in Paris, France, uniquely offering only one produce for sale and consumption. The market is called the United Nations Framework Convention on Climate Change and the produce is watermelons, an exteriorly verdant fruit with a radiantly red interior.
People seem to become embarrassed by common-sense suggestions and ideas. Here are a few of mine that I am sure my wife will think are utterly ridiculous.
Just went to a funeral service for a friend who died of cancer. We also found out another friend has cancer.
My husband and I recently moved to Brunswick County from New York. As we settled in, a friend asked me if I wanted to attend a meeting of the Brunswick County Homeless Coalition (BCHC). Having done similar work in New York, I was eager to see how I could help here.
Let us pray for the people in Syria who are caught up in a terrible, ongoing conflict that has lasted for several years. Islamic State (ISIS) terrorist forces have taken possession of vast areas of this nation that is so often mentioned in the Bible.
Christian communities that have been in existence since the days of the Apostle Paul have been decimated. Thousands of Christians have been butchered mercilessly by ISIS. The Assad regime that ruled Syria for decades and gave protection to Christians is now riven with violence and revolution.
Oct. 19-23 is Nuclear Science Week (NSW) and my favorite week of the year. NSW advances education, stimulates participation and generates communication that provides insight and visibility for the achievements of the nuclear sciences.
I began my career at Brunswick Nuclear Plant (BNP) 15 years ago as a plant operator, and the best part about working for Duke Energy is the encouragement we receive to give back to the community. NSW is a prime time for employees, like me, to do just that.
My wife Faye and I went to Chili's in Shallotte to celebrate her 81st birthday. The women who work there were great. They all clapped their hands and sang "Happy Birthday" to my wife. About that time, two ladies sitting across the aisle from us were leaving, and they both told my wife, "Happy birthday!"
When we were ready to check out, our waitress told us those two ladies who sat across from us had paid for our meals. I asked her if she knew who they were. She said no, but they ate there often.
Copyright © 2016
The Brunswick Beacon is your source for local news, sports, events and information in Brunswick County, North Carolina and surrounding areas.


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Browse by Study
Poetry. "These poems describe the outside world with a luminous grasp of detail, clarity, connection. Soon enough in every poem it seems the external world is giving way to a subtle interior of feeling and nuance. What is surprising is the command of language and music in which this occurs, and the sheer precision of both. There are pleasures on every page here, making this one of the best debut collections I have read."—Eavan Boland"Shara Lessley has a scrupulous eye for the natural world, for the detail of memory, for the seemingly ordinary in which she often finds the surprise, the bizarre, or a painful past. In language that is sharp and clear, in forms that are disciplined by a discerning mind, she also explores the lives of liminal women and American outsiders. This is a first book you shouldn't miss."—Peter BalakianAuthor City: AMMAN JOR
Shara Lessley is a former Wallace Stegner Fellow in Poetry. Her awards include an Artist Fellowship from the State of North Carolina, the Diane Middlebrook Poetry Fellowship from the Wisconsin Institute for Creative Writing, an Olive B. O'Connor Fellowship from Colgate University, The Gilman School's Tickner Fellowship, and a "Discovery"/The Nation prize. Shara's poems have appeared in Ploughshares, The Kenyon Review, The Southern Review, and The Missouri Review, among others. She currently lives in Amman, Jordan.
Man and Wife
Katie Chase
The Service Porch
Fred Moten
Take This Stallion
Anais Duplan
Threads Talk Series
Steve Clay and Kyle Schlesinger, Editors
The 9-Day Queen Gets Lost On Her Way To The Execution
Karyna McGlynn
The Surrender
Scott Esposito


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Through the first two weeks of the season the Wauwatosa West baseball team has compiled a 3-5 record and a 1-1 mark in the Woodland Conference Black Division going into this week's action.
The Trojans had eight returning players for coach Chad Mateske coming into this year - JJ Belknapp, Jacob Boudreaux, Matt Gillis, Tyler Gross, Travis Hudson, Austin Jones, Mickey Morgan and Ben Zachman.
Newcomers with promise to watch for according to Mateske are Willie Belknapp and Nick Orlowski.
After opening last week with a 8-5 win at Brown Deer, the Trojans dropped a conference game to Whitnall on June 5 and a non-conference game to Pius XI on June 7.
Whitnall used a six-run third inning to coast to a 6-3 victory. West scored a single run in the fourth and two in the sixth to make the game at Breitlow Field respectable.
West only managed three hits off three Falcon pitchers, including winning pitcher Josh Serio, who worked the first five innings.
Two days later, the Trojans dropped a 6-4 decision to the Popes at Breitlow Field.
More from Sports
- Wauwatosa Sports Notes: Players sign with colleges, baseball fundraiser, more
- Girls Track and Field: Wauwatosa West sprinters stand out at Kansas Relays
- Boys Track and field: Wauwatosa West' Hannah-Howell, Jefferson shine at Sun Prairie Track Meet
- Boys Tennis: Wauwatosa West tennis team wins three of four at Raider/Trojan Invite
- Boys Golf: Wauwatosa golfers finish fifth at first GMC mini meet
- Girls Soccer: Wauwatosa East kickers go 2-1 at Mt. Prospect Invitational, lose to DSHA, beat Homestead
- Girls soccer: Wauwatosa West soccer team tied for first in Woodland with 4-0 record
- Football: Matt Kender is Wauwatosa East's new football coach
- Sports Shorts: April 21, 2016
- Girls track and field: Wauwatosa East girls track team has two productive meets


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When temperatures continued to dip night after night and snow blanketed Statesboro for the first time in several years, we wondered if springtime would ever visit again. But, just as faithful as the inevitable turning of the calendar page, so too is the faithfulness and beauty of springtime. Spring has arrived with grand splendor – from fluffy, white blossoms, to deep hues of purple and pink, to shades of green too many to count, to brilliant yellows and crimsons swaying in the farmers' fields. How can one fail to celebrate the beauty of spring when such delightful colors adorn the Earth ...
This past Thursday, our choir sang the beautifully haunting "Song of the Shadows" by Joseph M. Martin during the Tenebrae service. It is a way to remember the suffering of Jesus. Words and music hardly seem appropriate, and yet there is something about our trying to understand this sacrifice of our Lord that must be expressed with our entire being. When we sing, listen to the music and observe the darkness that surrounds this moment in time, it is as though we are weeping uncontrollably, tearing our clothing as a symbol of anguish and feeling our heart breaking because we ...
Are you a "people-pleaser"? Do you try to make everybody like you and accept everything you do as what you ought to do? Some are, you know. And almost everyone wants to be accepted as a person of intelligence and ability, an individual of value. But most have experience the truth that it's really hard, even impossible, to please everybody.
Britain's North American colonial libraries sprang up at the nation's new educational institutions. The first library was established when Boston clergyman John Harvard donated his collection in the 1690s to the institution that now bears his name.
The Bulloch County Sheriff's Office added two new deputies with the recent graduation of Deputies Billy Anderson and Corey Akins from the Regional Police Academy, Session 244, Savannah, Ga.
Note: All information included in this report is taken from law enforcement incident reports and arrest records, which are public records and available for review at any and all local law enforcement agencies. Not every arrest leads to a conviction. Guilt or innocence is determined by the court system.
J. Rey Barnes and Kendall L. Blankumsee are planning an April 18, 2010, wedding at the Emma Kelly Theater in Statesboro, Ga. The show time is set for 4:30 p.m.
Mr. and Mrs. Robbie W. Myers of Stilson, Ga., announce the engagement of their daughter, Brittany Myers of Stilson, to Patrick Bacot, son of Mr. and Mrs. Clifford Bacot.
Paul and Connie Ewing of Sylvania are pleased to announce the engagement of their daughter, Jennifer Marie Ewing, to Clayton Alan Best, son of Alan and Debra Best of Twin City.
Plans have been finalized for the wedding of Vania Horton and Brad Hagan.
Rachel Ann Gray and Houston Lee Kirkland announce their engagement and forthcoming marriage.
ATLANTA - A government report released Thursday shows no change in how common autism is among U.S. children.
The welcoming of warmer weather and flowers blooming signals the beginning of spring and the upcoming Easter holiday. Easter brings families together to celebrate the ...
Since entering the Statesboro healthcare market in 2009, Dr. Daniel Okungbowa has embraced the community with a passion of ensuring that every citizen has access ...
Nestled among the oak trees of what was once the Gesmon Neville Family Farm, The Lodge at Bethany, an extension of the long-standing history of ...
Man of the Decade
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"Soapside" is the new bi-monthly column by Michael Fairman exclusively for Advocate.com. In his initial post, Fairman discusses Chris Engen's departure from "Y&R", allegedly over a gay kiss with Yani Gellman's gay character of Rafe. Also, exclusive quotes from "ATWT's" Van Hansis and Tamara Braun on their Emmy nods, Otalia Watch and updates, and check out who was the Scene Stealer of the Week, and which duo had the week's Best Catfight and more!
News - Soap Buzz
0 May 21st, 2009 "Soapside" on Engen, Chappell, Emmy nods and more!
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Video of the Day
CBS Daytime's: "Not Safe For Daytime" has released its next vignette which features B&B's Karla Mosley, Linsey Godfrey and Scott Clifton in a spoof of Saturday Night's Live's send-up on the soaps, "The Californians". Only this time it's "The New Yorkers"! Watch the action below. Let us know what you thought of it, and the other released spoofs featuring Y&R and B&B talent that are part of these online extras. Leave a comment »
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- GH's Finola Hughes Talks The Emotional Griffin Reveal, Anna's Relationships With Andre and Paul, Scrubs Goodbye Scenes & Nabbing Carlos Rivera!
- 43rd Annual Daytime Emmy Nominations Revealed! Ceremonies Will Not Be Televised!
- THAT KISS: Y&R's Billy and Phyllis Share A Highly Anticipated Liplock!
- LISTEN TO THE BROADCAST: Soap Nation Live! with Michael Fairman! Guests: Finola Hughes, Maura West, Kassie DePaiva, Melissa Reeves, Tyler Christopher, Jacob Young, Linsey Godfrey, Bryan Craig, Dee Wallace, Obba Babatunde', Nicolas Bechtel, Brooklyn Rae Silzer with Co-Hosts: Laura Wright and David Michaels!
- Michael Easton Begins His Journey As His New GH Character Dr. Hamilton Finn: What Were Your Impressions After His First Week Of Episodes?


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What's New
To mark 60th birthday, Opera Omaha will launch spring festival in 2018
For its 60th birthday, Opera Omaha is giving local music fans a big present.
The company will launch an annual spring festival in 2018 — its diamond anniversary year — and add a fourth opera to its season each year during the monthlong event. In addition, the first festival will feature a world-premiere opera set in 1877 on the Nebraska prairie by the up-and-coming writing team of Missy Mazzoli and Royce Vavrek. Read more.
Subscriptions available for 2016-2017 Season!
La bohème, November 4 & 6, 2016
Così fan tutte, February 10 & 12, 2017
Flight, April 21 & 23, 2017
CLICK HERE to subscribe.
The Met: Live in HD
Presented by Film Streams in collaboration with Opera Omaha, The Met: Live in HD is a live broadcast that allows audiences nation wide to enjoy The Metropolitan Opera performances. The series features 10 breathtaking productions featuring the world's greatest singers. All live Saturday broadcasts will feature a Prelude Talk by Opera Omaha, beginning prior to the performance start time.


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Ex-Deputy Gets Life in Ken. Sheriff Murder
SOMERSET, Ken. -- A former Kentucky sheriff's deputy was sentenced Monday to life in prison for helping plot the assassination of his chief political rival -- an incumbent sheriff killed by a sniper at a campaign rally.
Jeff Morris won't be eligible for parole for at least 25 years in a plea bargain that spared him the possibility of the death penalty. He pleaded guilty to complicity to murder Sheriff Sam Catron to improve his chances of winning election.
"I am sorry that it went as far as it did," Morris said in court, turning to Catron's family. "I hope and pray to God that you can forgive me sometime in your heart."
Catron was shot minutes after delivering a re-election speech April 13, 2002, at a volunteer fire department in Shopville. He was struck in the head by a single bullet fired from a nearby hillside.
As part of Morris' plea, he agreed to testify against a remaining defendant, Kenneth White, a campaign donor to Morris who allegedly was angered by the longtime sheriff's anti-drug efforts.
A third defendant, the gunman, pleaded guilty in March to murder and also received a life sentence.
White faces trial Nov. 3 on a murder charge, and prosecutors are seeking the death penalty.
Morris told Pulaski County Judge Paul Braden last month that White came up with the plan to kill the sheriff. He said he went along with it because he feared White might harm his family.
Morris also admitted giving Danny Shelley, the triggerman, his motorcycle as a getaway vehicle.
Copyright Associated Press. All rights reserved. This material may not be published, broadcast, rewritten, or redistributed.
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Volume 8. Physical Properties of Rocks
1st Edition
A workbook
- Print ISBN 9780444537966
- Electronic ISBN 9780444537973
Print book
A workbook
Print book
'Physical Properties of Rocks - a Workbook' is a symbiosis of a brief description of physical fundamentals of rock properties (based on typical experimental results and relevant theories and models) with a guide for practical use of different theoretical concepts. For this purpose a companion web site contains a selection of model based equations in excel worksheets for practical application and training by the user to work with his own data (or to ''play" in order to demonstrate the effects of various input information and to demonstrate the effects of various input information in petrophysical work.
In two special chapters the problem of relationships between petrophysical parameters based on various model concepts is presented as a foundation for combined interpretation. This part also contains the author's 'structured model'.
The workbook is a result of the more than 40 years experience of the author in teaching at universities and industrial courses.
Students and professionals working in the areas of applied geophysics, well-log analysis, and reservoir engineering as well as geophysicists in engineering, geotechnics, hydrogeology, and geothermal applications
Introduction 1. Rocks – their classification and composition Overview, Introduction Igneous (magmatic) rocks Metamorphic rocks Sedimentary rocks 2. Pore space properties Overview, Introduction Porosity Specific internal surface Fluids in the pore space – the term "saturation" Permeability Wettability Fluid distribution – capillary pressure in a reservoir 3. Nuclear Magnetic Resonance (NMR) petrophysical properties Physical origin, the principle of a NMR-measurement Description of the relaxation process (longitudinal and transverse relaxation) NMR Relaxation mechanisms of fluids in pores and fluid-surface effects Bulk relaxation and surface relaxation Diffusion-induced relaxation Description of relaxation as a multi-exponential decay – data inversion Applications Porosity and pore volume partitioning Pore size, capillary pressure and permeability estimate Fluid (hydrocarbon) typing 4 Density Definition and units Density of rock constituents Density of rocks 5 .Nuclear/Radioactive Properties Fundamentals Natural radioactivity Origin of natural gamma radiation Potassium, Uranium, and Thorium in minerals Potassium, uranium, and thorium content of rocks Spectral and integral measurements – the API unit Applications Radioactive heat generation Gamma Interactions Fundamentals Gamma-Gamma-PE measurement for mineral identification Gamma-Gamma-Density measurement and porosity estimate Neutron interactions Fundamentals Porosity from neutron measurements 6. Elastic Properties Fundamentals Results of experimental investigations, empirical equations Rock constituents Velocity of igneous and metamorphic rocks Velocity of sedimentary rocks Relationships between Vp and Vs – the Castagna equation AVO (Amplitude Versus Offset) – basic principles and link to physical properties Anisotropy Theories Overview Bounds for elastic moduli: Voigt, Reuss and Hashin-Shtrikman bounds Sphere pack models nclusion models A simpified model for fractured rocks Gassman and Biot model – modelling of


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A battered Shane Carwin at UFC 131.
Shane Carwin showed plenty of heart and guts in his three round performance against Junior Dos Santos at UFC 131 on Saturday night.
Unfortunately for the former UFC interim champion, heart kept him in the fight, but it wasn't able to put him over the top for a victory.
When the night was over, Dos Santos came out on top by unanimous decision.
Following the events of UFC 131, Carwin skipped out on any post fight press conferences because he had to head to the emergency room to get treatment for the injuries suffered in the loss to Dos Santos.
According to Carwin's manager Jason Genet of Ingrained Media via Twitter, the Colorado fighter suffered 3 deep cuts, a broken nose and had to go to the emergency room for a CT scan.
Carwin almost went down in the first round after Dos Santos caught him with a good shot that put him down on his knee on the mat. As the Brazilian followed up, Carwin showed tremendous heart to stick in the fight, defending himself, and working his way back to his feet.
Once the final horn sounded, Carwin was bloodied and may have lost a decision, but no one can question his heart for sticking in the fight and giving everything he had.
Damon Martin is the lead staff writer and radio host for MMAWeekly.com.
Follow @DamonMartin on Twitter or e-mail Damon a question or comment.
Follow MMAWeekly.com on Twitter and Facebook.
The medical troubles suffered by Dhafir "Dada 5000" Harris in the wake of Bellator 149's headliner were apparently even worse than previously reported.Filed under: Bellator, Featured, News read news >>
Bellator 152 marks the fight promotion's first event in Italy, but has suffered a hit to the main event. read news >>
This Saturday's UFC on Fox 19 card suffered a late blow on Wednesday when Lyoto Machida declared the use of a banned substance, resulting in the cancellation of his co-main event bout with Dan Hender read news >>
Junior dos Santos suffered a shoulder injury in his fight with Ben Rothwell at UFC Fight Night 86 in early April. read news >>


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MATHEMATICAL TRIPOS Part III
Monday 3 June 2002 1.30 to 3.30
Attempt THREE questions
There are three questions in total
The questions carry equal weight
Candidates may bring into the examination any lecture notes made during the course,
printed lecture notes, example sheets and model solutions,
and books or their photocopies
You may not start to read the questions
printed on the subsequent pages until
instructed to do so by the Invigilator.
1Define Reed–Solomon codes and prove that they are maximum distance separable.
Prove that the dual of a Reed–Solomon code is a Reed–Solomon code.
Find the minimum distance of a Reed–Solomon code of length 15 and rank 11 and
the generator polynomial g1(X) over F16 for this code. Use the provided F16 field table to
write g1(X) in the form ωi0+ωi1X+ωi2X2+. . ., identifying each coefficient as a single
power of a primitive element ωof F16 .
Find the generator polynomial g2(X) and the minimum distance of a Reed–Solomon
code of length 10 and rank 6. Use the provided F11 field table to write g2(X) in the form
a0+a1X+a2X2+. . ., where each coefficient is a number from {0,1, . . . , 10}.
Determine a two-error correcting Reed–Solomon code over F16 and find its length,
rank and generator polynomial.
The field table for F11 ={0,1,2,3,4,5,6,7,8,9,10}, with addition and multiplica-
tion mod 11: i012345 6789
The field table for F16 =F4
ωi0001 0010 0100 1000 0011 0110 1100 1011 0101
i9 10 11 12 13 14
ωi1010 0111 1110 1111 1101 1001
Paper 30
2Let Cbe a binary linear [n, k] code and Cev the set of words x∈ C of even weight.
Prove that either (i) C=Cev or (ii) Cev is an [n, k −1] linear subcode of C.
[Hint: For binary words xand x0of length n,w(x+x0) = w(x)+w(x0)−2w(x∧x0),
where (x∧x0)j=xjx0
Prove that if the generating matrix Gof Chas no zero column then the total weight
w(x) equals n2k−1.
[Hint: Consider the contribution from each column of G.]
Denote by CH,` the binary Hamming code of length n= 2`−1 and by C⊥
H,` the dual
simplex code, `= 3,4, . . .. Is it always true that the n-vector (1, . . . , 1) (with all digits
one) is a codeword in CH,`? Let Asand A⊥
sdenote the number of words of weight sin
CH,` and C⊥
H,`, respectively, with A0=A⊥
0= 1 and A1=A2= 0. Check that
3! , A4=n(n−1)(n−3)
4! , A5=n(n−1)(n−3)(n−7)
5! .
Prove that A⊥
2`−1= 2`−1 (i.e., all non-zero words x∈ C⊥
H,` have weight 2`−1). By using
the last fact and the Mac Williams identity for binary codes, give a formula for Asin
terms of Ks(2`−1), the value of the Kravchuk polynomial:
Ks(2`−1) =
j=0∨s+2`−1−2`+1 2`−1
j 2`−1−2`−1
Here 0 ∨s+ 2`−1−2`+ 1 = max [0, s + 2`−1−2`+ 1] and s∧2`−1= min [s, 2`−1]. Check
that your formula gives the right answer for s=n= 2`−1.
Paper 30 [TURN OVER
3Let ωbe a root of m(X) = X5+X2+ 1 in F32 ; given that m(X) is a primitive
polynomial for F32,ωis a primitive (31,F32) root of unity. Use elements ω,ω2,ω3,ω4to
construct a binary narrow sense primitive BCH code Xof length 31 and designed distance
5. Identify the cyclotomic coset {i, 2i, . . . , 2d−1i}for each of ω,ω2,ω3,ω4. Check that ω
and ω3suffice as defining zeros of Xand that the actual minimum distance of Xequals
5. Show that the generator polynomial g(X) for Xis the product
Suppose you received a word u(X) = X12 +X11 +X9+X7+X6+X2+ 1 from a
sender who uses code X. Check that u(ω) = ω3and u(ω3) = ω9, argue that u(X) should
be decoded as
c(X) = X12 +X11 +X10 +X9+X7+X6+X2+ 1
and verify that c(X) is indeed a codeword in X.
[You may quote, without proof, a theorem from the course (see below) but should
check its conditions. The field table for F32 =F5
2and the list of irreducible polynomials of
degree 5over F2are also provided to help with your calculations.]
The field table for F32 =F5
ωi00001 00010 00100 01000 10000 00101 01010 10100 01101
i9 10 11 12 13 14 15 16 17
ωi11010 10001 00111 01110 11100 11101 11111 11011 10011
i18 19 20 21 22 23 24 25 26
ωi00011 00110 01100 11000 10101 01111 11110 11001 10111
i27 28 29 30
ωi01011 10110 01001 10010
The list of irreducible polynomials of degree 5 over F2:
they all have order 31. Polynomial X5+X2+ 1 is primitive.
Theorem. Let n= 2s−1. If 2sl <P
06i6l+1 n
ithen the binary narrow-sense
primitive BCH code of designed distance 2l+ 1 has minimum distance 2l+ 1.
Paper 30
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