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- [[Category:Number Theory]] ...1 KB (210 words) - 07:41, 17 January 2008
- ...subject in its own right. Here we will examine the key concepts of number theory. ...or '''Z'''. If you are unsure about sets, you may wish to revisit [[../Set theory/]]. ...41 KB (6,966 words) - 23:47, 18 October 2007
- Divisibility is a key concept in number theory. We say that an integer ''a'' is divisible by an integer The following theorems illustrate a number of important properties of divisibility. ...6 KB (1,135 words) - 07:16, 17 January 2008
- The theory of Diophantine equations is an ancient subject that typically involves solv [[Category:Number Theory]] ...621 bytes (95 words) - 07:28, 5 March 2008
- ...Theoretic Problems. A quick overview of some portions of Analytic Number theory follow. for real values of s > 1, plays a central role in the theory. It is straightfoward to show it converges absolutely when s > 1. It s ...9 KB (1,614 words) - 22:14, 12 October 2007
- [[Category:Number Theory]] ...does '''not''' repeat after a finite number of decimals is NOT a rational number. Examples include <br> ...1 KB (223 words) - 00:58, 7 January 2008
- [[Category:Number Theory]] ...356 bytes (51 words) - 12:52, 9 January 2008
- Now we see that the left side counts the number of lattice points (''a'', ''b'') in [1,''n''] × [1,''n''] w This formula counts the number of pairs where ''a'' and ''b'' are not relatively prime to each other. ...13 KB (2,257 words) - 17:19, 16 December 2007
- A prime number p>1 is one whose only positive divisors are 1 and p. ...1 KB (202 words) - 08:27, 3 January 2008
- 7 KB (1,201 words) - 18:36, 2 February 2008
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- Where ''p'' is pressure, ''V'' is volume, <math>\nu=m/\mu</math> is number of moles observed, <math>R=N_Ak_B=6.022</math> J/(mol·K) == Kinetic theory of gasses == ...513 bytes (85 words) - 01:51, 13 July 2007
- The theory of Diophantine equations is an ancient subject that typically involves solv [[Category:Number Theory]] ...621 bytes (95 words) - 07:28, 5 March 2008
- # The modal theory # The geometric theory ...4 KB (709 words) - 05:45, 27 April 2007
- ...is the number of dimensions. An upper-class <math>D</math> represents the number of spacial dimensions. ==String Theory as a Theory of Everything== ...5 KB (769 words) - 08:51, 24 October 2007
- How does the econometrician go ahead in analysing an economic theory? What is needed is a '''methodology''', i.e. a step-by-step procedure. This == Theory == ...4 KB (560 words) - 02:25, 12 February 2008
- [[Category:Number Theory]] ...356 bytes (51 words) - 12:52, 9 January 2008
- ...footing, I am going to add background, so that we develop the concept of a number first, and work to functions more slowly and methodically, to include Heine *Measure theory: ...3 KB (346 words) - 19:33, 22 January 2008
- In mathematics, a rational number is a real number that can be written as the ratio of two integers, i.e., it is of the form ...''b'' are integers and ''b'' is not zero. An '''irrational number''' is a number that cannot be written as a ratio of two integers, i.e., it is not of the f ...3 KB (483 words) - 10:33, 22 December 2007
- ...vious chapter, we will now proceed to develop a more axiomatic theory. Our theory will avoid the ambiguities of probability, and allow for a simpler mathemat ==Formal Theory== ...3 KB (604 words) - 21:31, 2 January 2008
- ...wever, we analyze the root causes of all these forces, we can reduce their number to just a few fundamental forces (or ''fundamental interactions'', as physi ...quest for unification of forces was Einstein. After completing his general theory of relativity, he ...6 KB (1,012 words) - 06:43, 27 July 2007
- == Theory of equations == ...f course this is not true for trigonometric equations which yield infinite number of roots but usually only the principal values of angles are taken. ...2 KB (383 words) - 01:28, 14 December 2007
- ==The Classical Quantity Theory of Money== This theory was described comprehensively by Irving Fisher (1911), in the book ''The Pu ...6 KB (994 words) - 08:37, 13 July 2006
- A typical application area of FMT is database theory: ...is more powerful than the other. So the want to query the database if the number of their subordinates is equal, i.e. the cardinalities of the sets of subor ...2 KB (321 words) - 18:34, 31 October 2007
- Our applications of quantum theory here involve solving the wave equation Our applications of quantum theory here involve solving the wave equation ...4 KB (568 words) - 12:37, 8 October 2006
- Lines that intersect are (usually) ignored as irrelevant (see [[Graph Theory/Planarity|planarity]] for where intersections do matter) ; Order : the number of vertices in a graph, denoted <math>|V(G)|</math>, often using <math>n</m ...864 bytes (141 words) - 23:06, 14 December 2007
- [[Probability]] theory mathematically formulates incomplete knowledge pertaining to the likelihood ...ity of selecting any given number is zero, but it is certain that one such number will be selected). ...10 KB (1,653 words) - 21:30, 2 January 2008
- = Brief Complexity Theory = Complexity Theory is the study of how long a program will take to run, ...5 KB (969 words) - 23:53, 16 December 2006
- ==Database Theory: SQL== ...is more powerful than the other. So the want to query the database if the number of their subordinates is equal, i.e. the cardinalities of the sets of subor ...6 KB (961 words) - 02:12, 3 September 2007
- [[Category:Number Theory]] ...does '''not''' repeat after a finite number of decimals is NOT a rational number. Examples include <br> ...1 KB (223 words) - 00:58, 7 January 2008
- The review of set theory contained herein adopts a naive point of view. The content of a set can also be enumerated whenever S has a countable number of elements, ...8 KB (1,480 words) - 21:33, 2 January 2008