Boku. Home > Games > New Games > Boku Boku Categories: Abstract GamesBoard GamesNew Games Boku also marketed as Bollox, although someone did realise the meaning of the word and quickly changed the name. Although there are many games that involve trying to make rows of a set length ranging from noughts and crosses (tick – tack – toe) to gomoku. The extra sandwich rule that Boku introduces dramatically changes the shape and play of the game. As there are so few rules the game can be learnt in a matter of minutes, although there are many traps so thought is required. There is a big advantage to the first player so two rounds are played in each match using the same time for both.
Rules Boku has a very simple rule set each player can place a ball in any empty space on the board with the exception of the sandwich rule. You can find out about opportunities to play Boku live at the timetable. MSO Boku Champions Full results and other winners can be found in Results. MSO Boku Ranked Players: Alain Dekker. Peter Atkins: "Science As Truth" The Difference Between Linear and Exponential Thinking | In Their Own Words. As humans we evolved on this planet over the last hundreds of thousands of years in an environment that I would call local and linear. It was a local and linear environment because the only things that affected you as you were growing up on the plains of Africa was what was in a day’s walk.
It was local to you. Something would happen on the other side of the planet 100,000 years ago you wouldn’t even know. It was linear in that the life of your great grandparents, your grandparents, you, your kids, their kids, nothing changed generation to generation. It was pretty much the same. Today we’re living in a world that is exponential and global. To give a visualization of this, if I were to take 30 linear steps, it would be one, two, three, four, five. That’s the difference between our ability to project linearly and project exponentially. In Their Own Words is recorded in Big Think's studio. Image courtesy of Shutterstock. Tulpa. Tulpa (Tibetan: སྤྲུལ་པ, Wylie: sprul-pa; Sanskrit: निर्मित nirmita[1] and निर्माण nirmāṇa;[2] "to build" or "to construct") also translated as "magical emanation",[3] "conjured thing" [4] and "phantom" [5] is a concept in mysticism of a being or object which is created through sheer spiritual or mental discipline alone.
It is defined in Indian Buddhist texts as any unreal, illusory or mind created apparition. According to Alexandra David-Néel, tulpas are "magic formations generated by a powerful concentration of thought. " It is a materialized thought that has taken physical form and is usually regarded as synonymous to a thoughtform.[6] Indian Buddhism[edit] One early Buddhist text, the Samaññaphala Sutta lists the ability to create a “mind-made body” (manomāyakāya) as one of the "fruits of the contemplative life". Tibetan Buddhism[edit] Tulpa is a spiritual discipline and teachings concept in Tibetan Buddhism and Bon.
Alexandra David-Néel[edit] Thoughtform[edit] Modern perspective[edit] Researchers establish link between racism and stupidity ucanews. Einstein Proved Right on Gravity—Again. The theory, which was published nearly a century ago, had already passed every test it was subjected to. But scientists have been trying to pin down precisely at what point Einstein's theory breaks down, and where an alternative explanation would have to be devised. Einstein's framework for his theory of gravity, for example, is incompatible with quantum theory, which explains how nature works at an atomic and subatomic level. Consider that for a black hole, Einstein's theory "predicts infinitely strong gravitational fields and density. That's nonsensical," said Paulo Freire, an astrophysicist at the Max Planck Institute for Radioastronomy in Germany and co-author of the study, which appears in the journal Science.
And so scientists are testing the general theory not because they think it is wrong but because they are certain it can't be the final explanation—just as Isaac Newton's notion of gravitational force was superseded by Einstein's. Carl Sagan. We make our world significant by the courage of our questions and by the depth of our answers. Carl Edward Sagan (9 November 1934 – 20 December 1996) was an American astronomer and popular science writer.
Quotes[edit] In science it often happens that scientists say, "You know that's a really good argument; my position is mistaken," and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.Keynote address at CSICOP conference (1987), as quoted in Do Science and the Bible Conflict? The truth may be puzzling. The truth may be puzzling. If you wish to make an apple pie from scratch, you must first invent the universe. Essay as "Mr. Essay as Mr. Neil deGrasse Tyson. Creativity is seeing what everyone else sees, but then thinking a new thought that has never been thought before and expressing it somehow.
Neil deGrasse Tyson (born October 5, 1958) is an American astrophysicist, science communicator, Director of the Hayden Planetarium at the Rose Center for Earth and Space, and since 2006 host at PBS's educational television show NOVA scienceNOW. Quotes[edit] 2000s[edit] Yes, the universe had a beginning. Yes, the universe continues to evolve. 2010s[edit] It has been said that every great emerging scientific truth goes to three phases: First people say: "It can't be true". Global Ideas from Pluto's Challenger (May 21, 2009)[edit] Marina Leight (May 21, 2009). Knowing how things work is important, but I think that's an incomplete view of what science literacy is or, at least, should be. Cosmos, A Space Time Odyssey (2014)[edit] Science is a cooperative enterprise, spanning the generations. External links[edit] List of important publications in mathematics. Apollonius of Perga. The Nine Chapters on the Mathematical Art.
A page of The Nine Chapters on the Mathematical Art The Nine Chapters on the Mathematical Art (simplified Chinese: 九章算术; traditional Chinese: 九章算術; pinyin: Jiǔzhāng Suànshù) is a Chinese mathematics book, composed by several generations of scholars from the 10th–2nd century BCE, its latest stage being from the 2nd century CE. This book is one of the earliest surviving mathematical texts from China, the first being Suàn shù shū (202 BCE – 186 BCE) and Zhou Bi Suan Jing (compiled throughout the Han until the late 2nd century CE). It lays out an approach to mathematics that centres on finding the most general methods of solving problems, which may be contrasted with the approach common to ancient Greek mathematicians, who tended to deduce propositions from an initial set of axioms.
Entries in the book usually take the form of a statement of a problem, followed by the statement of the solution, and an explanation of the procedure that led to the solution. History[edit] Table of contents[edit] Shulba Sutras. The Shulba Sutras or Śulbasūtras (Sanskrit śulba: "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction. Purpose and origins[edit] The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique fire-altar shapes were associated with unique gifts from the Gods.
For instance, "he who desires heaven is to construct a fire-altar in the form of a falcon"; "a fire-altar in the form of a tortoise is to be constructed by one desiring to win the world of Brahman" and "those who wish to destroy existing and future enemies should construct a fire-altar in the form of a rhombus".[1] There are competing theories about the origins of the geometrical material found in the Shulba sutras. Mathematics[edit] Pythagorean theorem[edit] 1.9. Pythagorean triples[edit] Geometry[edit] 2.9. And. Philosophiæ Naturalis Principia Mathematica. Philosophiæ Naturalis Principia Mathematica, Latin for "Mathematical Principles of Natural Philosophy", often referred to as simply the Principia, is a work in three books by Sir Isaac Newton, in Latin, first published 5 July 1687.[1][2] After annotating and correcting his personal copy of the first edition,[3] Newton also published two further editions, in 1713 and 1726.[4] The Principia states Newton's laws of motion, forming the foundation of classical mechanics, also Newton's law of universal gravitation, and a derivation of Kepler's laws of planetary motion (which Kepler first obtained empirically).
The Principia is "justly regarded as one of the most important works in the history of science".[5] The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of mathematical Principles of natural Philosophy marked the epoch of a great revolution in physics. Contents[edit] Expressed aim and topics covered[edit] In the preface of the Principia, Newton wrote[10] Yuktibhāṣā. Contents[edit] Mathematics[edit] As per the old Indian tradition of starting off new chapters with elementary content, the first four chapters of the Yuktibhasa contain elementary mathematics, such as division, proof of Pythagorean theorem, square root determination, etc.[8] The radical ideas are not discussed until the sixth chapter on circumference of a circle.
Yuktibhasa contains the derivation and proof of the power series for inverse tangent, discovered by Madhava.[2] In the text, Jyesthadeva describes Madhava's series in the following manner: This yields which further yields the theorem which he obtained from the power series expansion of the arc-tangent function. Using a rational approximation of this series, he gave values of the number π as 3.14159265359 - correct to 11 decimals; and as 3.1415926535898 - correct to 13 decimals. The text describes that he gave two methods for computing the value of π.
The other method was to add a remainder term to the original series of π. Zahlbericht. In mathematics, the Zahlbericht (number report) was a report on algebraic number theory by Hilbert (1897, 1998, (English translation)). History[edit] Corry (1996) and Schappacher (2005) and the English introduction to (Hilbert 1998) give detailed discussions of the history and influence of Hilbert's Zahlbericht. Some earlier reports on number theory include the report by H. J. S. Smith in 6 parts between 1859 and 1865, reprinted in Smith (1965), and the report by Brill & Noether (1894). Hasse (1926, 1927, 1930) wrote an update of Hilbert's Zahlbericht that covered class field theory (republished in 1 volume as (Hasse 1970)). In 1893 the German mathematical society invited Hilbert and Minkowski to write reports on the theory of numbers. Contents[edit] Part 1 covers the theory of general number fields, including ideals, discriminants, differents, units, and ideal classes.
Part 2 covers Galois number fields, including in particular Hilbert's theorem 90. References[edit] External links[edit] Vorlesungen über Zahlentheorie. Vorlesungen über Zahlentheorie (German for Lectures on Number Theory) is a textbook of number theory written by German mathematicians Peter Gustav Lejeune Dirichlet and Richard Dedekind, and published in 1863. Based on Dirichlet's number theory course at the University of Göttingen, the Vorlesungen were edited by Dedekind and published after Lejeune Dirichlet's death. Dedekind added several appendices to the Vorlesungen, in which he collected further results of Lejeune Dirichlet's and also developed his own original mathematical ideas. Scope[edit] The Vorlesungen cover topics in elementary number theory, algebraic number theory and analytic number theory, including modular arithmetic, quadratic congruences, quadratic reciprocity and binary quadratic forms.
Contents[edit] The contents of Professor John Stillwell's 1999 translation of the Vorlesungen are as follows Chapter 1. Chapter 2. Chapter 3. Chapter 4. Chapter 5. Supplement I. Supplement II. Supplement III. Supplement IV. Supplement V. On the Number of Primes Less Than a Given Magnitude. The article "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" (usual English translation: "On the Number of Primes Less Than a Given Magnitude") is a seminal 10-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.
Among the new definitions, ideas, and notation introduced: Among the proofs and sketches of proofs: Among the conjectures made: The Riemann hypothesis, that all (nontrivial) zeros of ζ(s) have real part 1/2. New methods and techniques used in number theory: Riemann also discussed the relationship between ζ(s) and the distribution of the prime numbers, using the function J(x) essentially as a measure for Stieltjes integration. The paper contains some peculiarities for modern readers, such as the use of Π(s − 1) instead of Γ(s), writing tt instead of t2, and using the bounds of ∞ to ∞ as to denote a contour integral. References[edit] External links[edit] Disquisitiones Arithmeticae. Title page of the first edition The Disquisitiones Arithmeticae (Latin: Arithmetical Investigations) is a textbook of number theory written in Latin[1] by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24. In this book Gauss brings together results in number theory obtained by mathematicians such as Fermat, Euler, Lagrange and Legendre and adds important new results of his own.
Scope[edit] The inquiries which this volume will investigate pertain to that part of Mathematics which concerns itself with integers. Contents[edit] The book is divided into seven sections, which are: Section I. Section II. Section III. Section IV. Section V. Section VI. Section VII. Sections I to III are essentially a review of previous results, including Fermat's little theorem, Wilson's theorem and the existence of primitive roots.
From Section IV onwards, much of the work is original. Importance[edit] Notes[edit] References[edit] Elements of Algebra. Elements of Algebra is a mathematics textbook by mathematician Leonhard Euler, originally published circa 1765. His Elements of Algebra is one of the first books to set out algebra in the modern form we would recognize today. However, it is sufficiently different from most modern approaches to the subject to be interesting for contemporary readers. Indeed, the choices made for setting out the curriculum, and the details of the techniques Euler employs, may surprise even experts. It is also the only mathematical work of Euler which is genuinely accessible to all. The work opens with a discussion of the nature of numbers and the signs + and -, before systematically developing algebra to a point at which polynomial equations of the fourth degree can be solved, first by an exact formula and then approximately.
The original German name is: Vollständige Anleitung zur Algebra, which literally means: Complete Instruction to Algebra. Mathematical Treatise in Nine Sections. The Compendious Book on Calculation by Completion and Balancing. The Elements of Euclid. Euclid's Elements. Euclid. Subject:Science. Book:Aikido. Book:A Book for A Thinker. Book:Game Theory. Book:Information Theory. Book:Wikipedia - Cosmos and universe. Book:Evolution. Occam's razor.
The Structure of Scientific Revolutions. Pythagorean Theorem and its many proofs. The Carbon Dioxide Greenhouse Effect. A Boy And His Atom: The World's Smallest Movie. Gallery For Ross Berens. Gallery For Simon C Page. Dowsing for bombs: Maker of useless bomb detectors convicted of fraud. Introduction to Critical Thinking. PBS Idea Channel. Pages for Beginners at Sensei. eBooks for Teaching Math. Transition Species in Natural History. Principle of bivalence. The Preamble. Online Schools : Your Top Source for the Best Online Colleges Info.
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