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Προβολή αναρτήσεων από Οκτώβριος, 2011

PRIME NUMBERS AND GOLDBACH'S CONJECTURE

In 1742, Christian Goldbach wrote to Leonard Euler speculating that every even number greater than four can be expressed as the sum of two prime numbers, a prime number being such that it can only be divided by one and itself. Non-prime or composite numbers have various factors. While this conjecture has been shown to be correct up to very large numbers there has been no proof, so far, that it is always true, except when half the even number is a prime number. With the exception of 2, all even numbers are composite numbers. Odd numbers can be either prime or composite. While the number one is not considered to be a prime number, in this study it will used as a substitute for two since only odd numbers are considered. . Odd numbers can be derived from one of three equations, y = 3 + 6x, y = 5 +6x and y = 7 + 6x, where x is an integer. While the first equation only gives composite numbers the other two give a mixture of composite and prime numbers. While prime numbers do not show any r

A Ramanujan series for calculating pi

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Srinivasa Ramanujan is one of the greatest mathematicians of all time and π is the most magical number! Ramanujan discovered the following remarkable formula for computing π: This is not the most efficient series for computing π.  Notice that the denominator of each term in the sum above is a power of 2. This means the partial sums of the series can be represented exactly in binary. We’ll see that each term in the series adds six bits precision to the sum once we’ve added enough terms. To understand how to use this series, we need to estimate the binomial coefficient term. Stirling’s approximation  shows that This tells us that the  n th term in the series is a rational number with numerator something like 2^6 n  and denominator 2^(12 n +4). Therefore the  n th term is on the order of 2^(-6 n -4) and so the series converges quickly. The first three terms illustrates this: The error in summing up a finite number of terms is approximately the first term in the remaind

More Jobs Predicted for Machines, Not People

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A faltering economy explains much of the job shortage in America, but advancing technology has sharply magnified the effect, more so than is generally understood, according to two researchers at the Massachusetts Institute of Technology. The automation of more and more work once done by humans is the central theme of “Race Against the Machine,” an e-book to be published on Monday. “Many workers, in short, are losing the race against the machine,” the authors write. Erik Brynjolfsson, an economist and director of the M.I.T. Center for Digital Business, and Andrew P. McAfee, associate director and principal research scientist at the center, are two of the nation’s leading experts on technology and productivity. The tone of alarm in their book is a departure for the pair, whose previous research has focused mainly on the benefits of advancing technology. Indeed, they were originally going to write a book titled, “The Digital Frontier,” about the “cornucopia of innovation that is go

Get stood up on a date? Don't worry, your home appliances will cheer you up. FOREVER.

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What is it about "future of X" concept videos by big corporations that just   inevitably come off as tone-deaf ?   Ericsson has one about "the social web of things,"   which is another phrase for   the vaunted "internet of things"   -- in which the physical objects that surround us (from garage doors to toasters to toothbrushes and everything in between) are networked together via the web to become "smart". This future is always just around the corner, and it's always pitched as a wonderland of unalloyed awesomeness: your fridge knows when the milk is bad and orders more, your house knows when you're on the way home and sets the temperature just right, and so on. So why does the scenario in this video feel so... creepy? In case you didn't watch the whole thing, here's what happens: Young Sexy Futuredude is getting ready for a date of some kind. His bachelor pad, awesomely appointed with all kinds of "smart" s

New Security Threat: Infected QR Codes

Be careful the next time you scan a  QR code , because it might just cost you money and wreak havoc on your smartphone. That’s the warning from Kaspersky Lab, which has noticed the first instance of QR code tampering. The  incident  took place in Russia last month and hoodwinked consumers who thought they were downloading an Android app called Jimm. The code actually contained malware that sent SMS codes to a premium rate number that charged for each message. Tim Armstrong, a malware researcher at Kaspersky, says premium rate numbers operate similar to 900 numbers in the U.S. The four- to five-digit numbers charge for each incoming text, wringing cash out of unsuspecting users. Armstrong says that it’s much more difficult to set up such numbers in the U.S., but cyberthieves will soon be able to create global premium rate numbers that could theoretically attack American consumers the same way. Infected QR codes could also be used for phishing scams, Armstrong says. Robert Sicili

Τι απέγινε στο iPhone 5; |

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Το 9to5Mac δημοσιεύει σήμερα ένα ενδιαφέρον άρθρο για το τι απέγινε στο μυστηριώδες iPhone 5 που αναμέναμε όλοι να κυκλοφορήσει τον Οκτώβριο. Εκείνο το iPhone 5 σύμφωνα με φήμες θα διέθετε ανανεωμένο σχεδιασμό σε σχήμα ‘δάκρυ’ και μεγαλύτερη οθόνη και home button. Όπως όλοι ξέρουμε, όμως, κάτι τέτοιο δεν κυκλοφόρησε αλλά τη θέση του πήρε το iPhone 4S διατηρώντας τον ίδιο σχεδιασμό με το iPhone 4 με καλύτερη κάμερα και το Siri. Η ιστοσελίδα προσφέρει μια εκδοχή του τί πήγε λάθος σύμφωνα με πληροφορίες που έχει ακούσει από διάφορες πηγές. Ας δούμε τι αναφέρει: Το iPhone 4S αρχικά ήταν σχεδιασμένο να κυκλοφορήσει κατά τη διάρκεια του WWDC, όπως και τα προηγούμενα iPhone. Ωστόσο, τον Φεβρουάριο τα πράγματα δεν ήταν όπως έπρεπε. Υπήρχαν πολλές καθυστερήσεις και ούτε το iOS 5 ούτε το Siri ήταν σε μια μορφή που θα μπορούσε να δοθεί -έστω σε beta- τον Ιούνιο. (Το Siri ακόμα και τώρα είναι σε beta μορφή!) Ταυτόχρονα, το iPhone 5 εξελισσόταν σύμφωνα με το πρόγραμμα υπό την επίβλεψη

Finally got my Ipad 2!

It's been a long time since the last time i wrote on my blog. Let's get to work! Recently i bought my Ipad 2 ( white, 16g, no 3G ). I love it!! Actually to be honest, this is a present to my little brother but i can not stop "fixing" it :P What i really love is that it supports a variety of applications and most important "cloud" apps that i love developing on google appengine. This a really important aspect of tablets for developers. It is as simple as that. I want to write one application that runs natively on every platform. WHY is that so difficult to understand? I am also on the progress of contributing to a new project i like, but i am going to tell more about that on a later post. Till then, Cheers!