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...iki/Dyck_language Dyck language]). For example, the following are the Dyck words of length 6: ...rightwards or upwards. Counting such paths is equivalent to counting Dyck words: X stands for "move right" and Y stands for "move up". The following diagra ...

...it is the form of one of the polynomial divided by a polynomial. In other words, the rational function graphs do not have any breaks nor represent at the ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

...rce" means that the forces acting on the object are not balanced. In other words, the first law states two things: ...

...ss a stream of arbitrary increments to entries in <math>x</math>. In other words, if we see a number <math>i\in 1,\dots,N</math> in the stream, we update en ...

| title = Earliest Known Uses of Some of the Words of Mathematics ...

...e measurement of the speed of light to be constant by definition, in other words it is a law of nature. This has the remarkable implications that speed-rela :In other words, both observers have (at least) one time and location that both agree on, w ...

...|bijection]], which associates a fraction to each natural number. In other words: both sets have the same cardinality. Today, sets that have the same number ...

...derivative]] '''r''''(θ) is proportional to the parameter ''b''. In other words, it controls how "tightly" and in which direction the spiral spirals. In t ...

In other words, the function satisfies the Lipschitz condition if an arbitrary change in t In other words, <math>Aw</math> is a random projection of a fixed unit vector; and <math>B ...

...= http://jeff560.tripod.com/i.html | title = Earliest Uses of Some of the Words of Mathematics | contribution = Injection, Surjection and Bijection | publi ...

The words 'algorithm' and 'algorism' come from the name of a Persian mathematician ca ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

...= http://jeff560.tripod.com/i.html | title = Earliest Uses of Some of the Words of Mathematics | contribution = Injection, Surjection and Bijection | publi ...

In other words, for any set family <math>\mathcal{F}</math> with <math>|\mathcal{F}|>\sum_ In other words, for a hereditary family <math>\mathcal{F}</math>, if <math>R\in\mathcal{F} ...

...o see that the space cost of count-min sketch is <math>O(km)</math> memory words, or <math>O(km\log n)</math> bits. Each query is answered within time cost ...km)=O\left(\frac{1}{\epsilon}\log\frac{1}{\delta}\right)</math> (in memory words) and answering each query <math>x\in\Omega</math> in time <math>O(k)=O\left ...

...o see that the space cost of count-min sketch is <math>O(km)</math> memory words, or <math>O(km\log n)</math> bits. Each query is answered within time cost ...km)=O\left(\frac{1}{\epsilon}\log\frac{1}{\delta}\right)</math> (in memory words) and answering each query <math>x\in\Omega</math> in time <math>O(k)=O\left ...