Today I plan to try to explain the power of quantum algorithms, but do it in my way. I hope this “explanation” will help you understand their power, yet avoid some of the complexities with the usual explanations.

Parsing expression grammars (PEGs) are an alternative to context free grammars for formally specifying syntax, and packrat parsers are parsers for PEGs that operate in guaranteed linear time through the use of memoization.

Singularity discussions seem to be splitting up into three major schools of thought: Accelerating Change, the Event Horizon, and the Intelligence Explosion.

It's fairly easy to multiply two numbers that are close to the same multiple of 10.

The algorithm for doing it is called “Nikhilam Navatascaramam Dasata.” It is part of a system of algorithms and mnemonics to remember them, collectively known as “Vedic Math”, that was developed by Jagadguru Swami Bharati Krishna Tirthaji Maharaj in the early 20th century.

Some sets, such as the set of teacups, are not members of themselves. Other sets, such as the set of all non-teacups, are members of themselves. Call the set of all sets which are not members of themselves S. If S is a member of itself, then by definition it must not be a member of itself. Similarly, if S is not a member of itself, then by definition it must be a member of itself. Discovered by Bertrand Russell in 1901, the paradox prompted much work in logic, set theory and the philosophy and foundations of mathematics during the early part of this century.

GoldenNumber.Net exists to share information on the pervasive appearance of Phi, 1.618 ... , the Golden Ratio in life and the universe. Its goal is to present a broad sampling of phi related topics in an engaging and easy-to-understand format and to provide an online community, in which new findings about Phi can be shared.

Spartan universal computer-constructor is an implementation of a universal computer in Conway's Game of Life that was designed and built in 2009 by Adam P. Goucher.

Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

People who use ropes, fishing lines, yarn, etc., in their work or in their recreation (such as sailors, rock climbers, fishermen, weavers, farmers, search-and-rescue workers, and so on) are familiar with various knots that they use frequently. But for the average person who only uses knots occasionally, it is helpful to learn just a few knots which are easy to remember and easy to tie, yet are strong and secure and safe for a wide variety of purposes. By learning a few good knots and practicing them now and then, you will be well prepared for those times when you need to tie secure knots in rope or string.

A cognitive bias is a pattern of deviation in judgment that occurs in particular situations (see also cognitive distortion and the lists of thinking-related topics). Implicit in the concept of a "pattern of deviation" is a standard of comparison; this may be the judgment of people outside those particular situations, or may be a set of independently verifiable facts. The existence of some of these cognitive biases has been verified empirically in the field of psychology, others are widespread beliefs, and may themselves be a consequence of cognitive bias.