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Solving big problems with new quantum algorithm

(PhysOrg.com) -- In a recently published paper, Aram Harrow at the University of Bristol and colleagues from MIT in the United States have discovered a quantum algorithm that solves large problems much faster ...

Physics / Quantum Physics

created Nov 09, 2009 | popularity 4.6 / 5 (37) | comments 0

The faster-than-fast Fourier transform

The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that conne ...

Other Sciences / Mathematics

created Jan 18, 2012 | popularity 4.9 / 5 (30) | comments 20 | with audio podcast

Discovery could lead to more difficult Sudoku puzzles

(PhysOrg.com) -- A new analysis of number randomness in Sudoku matrices could lead to the development of more difficult and multi-dimensional Sudoku puzzles. In a recent study, mathematicians have found that ...

Other Sciences / Mathematics

created Feb 13, 2010 | popularity 3.7 / 5 (31) | comments 11 | with audio podcast weblog

'Ghostwriting' the Torah? New algorithm distinguishes contributors to the Old Testament with high accuracy

In both Jewish and Christian traditions, Moses is considered the author of the Torah, the first five books of the Bible. Scholars have furnished evidence that multiple writers had a hand in composing the text of the Torah. ...

Technology / Computer Sciences

created Oct 11, 2011 | popularity 4.1 / 5 (28) | comments 411 | with audio podcast

P vs. NP -- The most notorious problem in theoretical computer science remains open

In the 1995 Halloween episode of The Simpsons, Homer Simpson finds a portal to the mysterious Third Dimension behind a bookcase, and desperate to escape his in-laws, he plunges through. He finds himself wander ...

Technology / Computer Sciences

created Oct 29, 2009 | popularity 4.7 / 5 (24) | comments 5

Kilobots - tiny, collaborative robots - are leaving the nest (w/ video)

(PhysOrg.com) -- The Kilobots are coming. Computer scientists and engineers at Harvard University have developed and licensed technology that will make it easy to test collective algorithms on hundreds, or ...

Electronics / Robotics

created Nov 21, 2011 | popularity 4.4 / 5 (24) | comments 15 | with audio podcast

Random, but not by chance: A quantum random-number generator for encryption, security

Researchers have devised a new kind of random number generator, for encrypted communications and other uses, that is cryptographically secure, inherently private and - most importantly - certified random by ...

Physics / Quantum Physics

created Apr 14, 2010 | popularity 5 / 5 (21) | comments 0 | with audio podcast

Google Collaborates with D-Wave on Possible Quantum Image Search

(PhysOrg.com) -- Always on the cutting edge of new computing technologies, Google has recently announced that it is investigating the use of quantum computing schemes to achieve faster image recognition rates. ...

Physics / General Physics

created Dec 15, 2009 | popularity 4.3 / 5 (23) | comments 4 weblog

Scientists crack brain's codes for noun meanings

Two hundred years ago, archaeologists used the Rosetta Stone to understand the ancient Egyptian scrolls. Now, a team of Carnegie Mellon University scientists has discovered the beginnings of a neural Rosetta ...

Medicine & Health / Neuroscience

created Jan 13, 2010 | popularity 4.7 / 5 (21) | comments 8 | with audio podcast

The solution to a 200-year-old encryption

(PhysOrg.com) -- The mathematician who deciphered the final, encrypted page of a letter sent to President Thomas Jefferson in 1801 will visit the University of Oregon to tell how he did it.

Other Sciences / Mathematics

created Jan 11, 2010 | popularity 4.4 / 5 (22) | comments 0 | with audio podcast

Researchers break speed barrier in solving important class of linear systems

Computer scientists at Carnegie Mellon University have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications ...

Technology / Computer Sciences

created Oct 21, 2010 | popularity 4.9 / 5 (19) | comments 4 | with audio podcast

Quantum leaper

(PhysOrg.com) -- Acclaimed for a breakthrough algorithm, physicist Steven White is now first to model a new state of matter.

Physics / Quantum Physics

created Jun 21, 2011 | popularity 4.6 / 5 (20) | comments 0 | with audio podcast

143 is largest number yet to be factored by a quantum algorithm

(Phys.org) -- While factoring an integer is a simple problem when the integer is small, the complexity of factorization greatly increases as the integer increases. When the integer grows to more than 100,000 ...

Physics / Quantum Physics

created Apr 11, 2012 | popularity 4.7 / 5 (19) | comments 10 | with audio podcast feature

Machines that learn better

(PhysOrg.com) -- In the last 20 years or so, many of the key advances in artificial-intelligence research have come courtesy of machine learning, in which computers learn how to make predictions by looking ...

Technology / Computer Sciences

created May 18, 2010 | popularity 4.6 / 5 (17) | comments 5 | with audio podcast

Fundamental algorithm gets first improvement in 10 years

The maximum-flow problem, or max flow, is one of the most basic problems in computer science: First solved during preparations for the Berlin airlift, it’s a component of many logistical problems and a staple ...

Technology / Computer Sciences

created Sep 27, 2010 | popularity 4.7 / 5 (16) | comments 6 | with audio podcast

Algorithm

In mathematics, computing, linguistics, and related subjects, an algorithm is a finite sequence of instructions, an explicit, step-by-step procedure for solving a problem, often used for calculation and data processing. It is formally a type of effective method in which a list of well-defined instructions for completing a task, will when given an initial state, proceed through a well-defined series of successive states, eventually terminating in an end-state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as probabilistic algorithms, incorporate randomness.

A partial formalization of the concept began with attempts to solve the Entscheidungsproblem (the "decision problem") posed by David Hilbert in 1928. Subsequent formalizations were framed as attempts to define "effective calculability" (Kleene 1943:274) or "effective method" (Rosser 1939:225); those formalizations included the Gödel-Herbrand-Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's "Formulation 1" of 1936, and Alan Turing's Turing machines of 1936–7 and 1939.

For more information about Algorithm, read the full article at Wikipedia.
This text uses material from Wikipedia and is available under the GNU Free Documentation License.

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