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[[Category:Discrete mathematics (book)]] ...

...ard, some of these questions depend on different sections of this discrete mathematics text, some of these questions are meant to be examination-style questions. [[Category:Discrete mathematics (book)]] ...

[[Category:Discrete mathematics (book)]] ...

[[Category:Discrete mathematics (book)]] ...

...ules above. The relations we will deal with are very important in discrete mathematics, and are known as ''equivalence relations''. They essentially assert some k Previous topic:[[../Functions and relations/]]|Contents:[[Discrete mathematics]]|Next topic:[[../Number theory/]] ...

This book is intended as a Partial Differential Equations (PDEs) reference for indivi ...tence will not be given; this fact will appall some and elate others. This book is meant more toward solving or at the very least extracting information ou ...

[[Category:Discrete mathematics (book)]] ...

* An important example is the discrete metric. It exists for any non-empty set X. and defined <math> ...math> two vectors of <math>\mathbb{C}^n</math>. We define the ''[[w:Norm (mathematics)#p-norm|p-norm]]'': <math>||x||_p = (\sum_{i=1}^n {|x_i|^p})^{\frac{1}{p}}< ...

Several of the following set identities are similar to those in standard mathematics [[Category:Discrete mathematics (book)]] ...

...s question in an elementary section??? - what's so difficult about it? the book presumes you understand what a rational number is --> Several of the following set identities are similar to those in standard mathematics, such as ''associativity'', ''distributivity'', and so on. ...

[[Category:Discrete mathematics (book)]] ...

...to the field of engineering, receive little or no coverage in traditional mathematics classes. These functions will be described here, and studied more in the fo ...and one of the most important uses is to sample a continuous function into discrete values. ...

...ontinuously evolving, there are no finite "versions" or "editions" of this book. Permanent links to known good versions of the pages may be provided. ...ks.org/wiki/Control_Systems. Printed or other distributed versions of this book should likewise contain that link. ...

[[Category:Discrete mathematics (book)]] ...

[[Category:Discrete mathematics (book)]] ...

...with the dense set of real numbers, number theory examines mathematics in discrete sets, such as '''N''' or '''Z'''. If you are unsure about sets, you may wis ...tions to pure mathematics, and one of the most surprising areas of applied mathematics! ...

[[Category:Discrete mathematics (book)]] ...

[[Category:Discrete mathematics (book)]] ...

...ict astronomical events. The history of mathematics ranges from Babylonian mathematics with its hexasegimal (base 60) system dating back 4,000 years, to Euclidean ...of physics has always been intertwined with mathematics and measurements. Mathematics and measurement are the basic testing ground for determining the usefulness ...

The branch of mathematics known as '''calculus of variations''' studies the problem of minimizing (ma ...the time interval <math>[0,1]</math> into a large number <math>N</math> of discrete steps <math>[0,t_1], [t_1, t_2], ..., [t_{N-1}, 1]</math>, where the step s ...