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...han common words. Rare, difficult words are often longer than common, easy words. ...und the readership much increased.<ref>Murphy D.R. 1947. Tests prove short words and sentences get best readership. ''Printer's Ink'' '''218''': 61–64.</ref ...

=== Other words === ...

Instead of "an element of the group's set", mathematicians usually save words. They say "an element of the group". They use lower-case letters to stand for group elements. To save words, they say "''a'' is in ''G''" to mean "''a'' is an element of ''G''". ...

In other words, associativity means: ...

...gth]] of any two touching sides [[multiply|multiplied]] together. In other words, length times width. ...

In other words, In physics, the instantaneous velocity that an object has (in other words, the velocity of something at a particular instant) is defined as the deriv ...

[[Category:Basic English 850 words]] ...

...iable, and the unnamed variable of the function is held constant. In other words, the partial derivative takes the [[derivative]] of certain indicated varia ...

[[Category:Basic English 850 words]] ...

The numbers 2, 11, 17, 29, 41 are first few Ramanujan primes. In other words: ...

}}</ref> In other words, a velocity is a [[speed]] with a direction. For instance, if an object mov ...

...object because of its high position compared to a lower position. In other words, it is energy associated with [[gravity]] or [[gravitational force]]. For e ...

[[Category:Basic English 850 words]] ...

...icist, explained that the wavefunction is a ''probability wave.'' In other words, wherever the wave is denser, that is where the particle is most likely fou ...a particle occupies more than one position ''at the same time.'' In other words, a particle exists in at least two different positions simultaneously. When ...

...ystem. These two symbols are called bits.<ref>A bit is a short form of the words "binary digit".</ref> ...another way to include zero or exclude zero, but only if people know those words. ...

...ng forest in <math>Y</math>), it holds that <math>|S|=n-k</math>. In other words, for any <math>Y\subseteq E</math>, all maximal member of <math>\mathcal{F} ...r that <math>\{x_1,\ldots,x_{k-1},y_i\}\not\in\mathcal{F}</math>. In other words, <math>\{x_1,\ldots,x_{k-1}\}</math> is a basis of <math>Y=\{x_1,\ldots,x_{ ...

In other words, when an object oscillates about a fixed position (mean position) such that ...

...(base twelve). This is shown in [[English language|English]], as there are words such as dozen (12) and gross (144 = 12x12), and lengths such as feet (12 [[ ...

In other words, there is a number that the expression <math>\left(1+\frac{1}{n}\right)^n</ ...

In other words, if it rained on Monday, there's a 7.69% chance it rained on Sunday. ...

...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 ...}_j</math> is the mean of the points in cluster <math>C_i</math>. In other words, we want to find <math>k</math> clusters that have as little internal varia ...

* Hamilton W.D. 2005. ''Narrow roads of gene land, vol. 3: Last words'' (with essays by coauthors, ed. M. Ridley). Oxford University Press, Oxfor ...

...se decimal system. Many other languages with a decimal system have special words for teens and decades. * {{citation| last=Azar| first=Beth| year=1999| title=English words may hinder math skills development| url=http://www.apa.org/monitor/apr99/en ...

...}_j</math> is the mean of the points in cluster <math>C_i</math>. In other words, we want to find <math>k</math> clusters that have as little internal varia In other words, we can compute an approximately optimal clustering for high dimensional or ...

...edge of the circle are at the same [[distance]] from the centre. In other words, the radius is the same length all the way around the circle. Mathematicia ...

...ique used to find out what makes up a sample of a [[substance]] – in other words, a chemical [[analysis]].<ref>http://www.andor.com/learning-academy/absorpt ...

...hat is, a form which is eliminated through [[natural selection]]. In other words, the product of the gene is vital to life, and its function is destroyed by ...

[[Category:Words]] ...

...sely the numbers on row ''n''&nbsp;+&nbsp;1 of Pascal's triangle; in other words, ...

...me position <math>x</math>. <math>q</math> is a distributed load, in other words a force per unit length (analogous to [[pressure]] being a force per area); ...

Trigonometry uses a large number of specific words to describe parts of a triangle. Some of the definitions in trigonometry ar ...

...}_j</math> is the mean of the points in cluster <math>C_i</math>. In other words, we want to find <math>k</math> clusters that have as little internal varia In other words, we can compute an approximately optimal clustering for high dimensional or ...

...s directly proportional to the pressure exerted on the electrons. In other words, the higher the voltage, the higher the pressure. For example, a battery of ...

* the set of all words over <math>{a, b}\,</math> ...

In other words, the volume of a constant [[mass]] of ideal gas at a constant temperature i ...

...three-four-five triangle works for all multiples of 3, 4, and 5. In other words, numbers such as 6, 8, 10 or 30, 40 and 50 are also Pythagorean triples. An ...

* In a section on frequently misused words in his book ''The Writer's Art'', ''James J. Kilpatrick'' quoted a letter f ...

In other words, for every measure of closeness <math>\epsilon</math>, the sequence's terms ...

...ned element replaces another in a [[chemical compound|compound]]; in other words, one element trades places with another element in a compound<ref name="to ...

...], are [[particle]]s which [[wikt:transmit|transmit]] [[light]]. In other words, light is carried over [[Space (physics)|space]] by photons. Photon is an e ...

...s|page=457|date=2008|edition=Sixth|isbn=978-0-19-920463-2}}</ref> In other words, a relative atomic mass tells you the number of times an average atom of an ...

...s of an isotope relative to 1/12 of the mass of a carbon-12 atom. In other words, a relative isotopic mass tells you the number of times an isotope of an el ...

...ef> There is no [[real number]] that gives −1 when it is squared. In other words, −1 (or any other negative number) has no real [[square root]]. To solve th ...

...to the [[electron configuration]] in [[atom]]s or [[molecule]]s. In other words, the energy spectrum can be [[quantization|quantized]] (see [[continuous sp ...

...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 ...

...riable reluctance generator) and the [[Alexanderson alternator]]. In other words, the ''reluctance forces'' seek the most aligned magnetic circuit and a sma ...

...a function has the same result if the numbers are swapped around. In other words, the order of the terms in an equation do not matter. When the operator of ...y' refers to the property of a number that it is equal to itself. In other words, there exists an operation of two numbers so that it equals the variable of ...

...st that wants a room and does not have one yet cannot be served - in other words, the hotel is fully booked. ...

...s are all the old neighbors of <math>u</math> and <math>v</math>. In other words, <math>u</math> and <math>v</math> are merged into one vertex. The old edge ...

...the particle in the region from <math>b</math> to <math>a</math>. In other words, all that can be known in advance about a particle in general are [[probabi ...

In other words, if matrix ''A'' times the vector '''v''' is equal to the scalar ''λ'' time | title = Earliest Known Uses of Some of the Words of Mathematics ...

...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 ...

...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 ...

...ng forest in <math>Y</math>), it holds that <math>|S|=n-k</math>. In other words, for any <math>Y\subseteq E</math>, all maximal member of <math>\mathcal{F} ...r that <math>\{x_1,\ldots,x_{k-1},y_i\}\not\in\mathcal{F}</math>. In other words, <math>\{x_1,\ldots,x_{k-1}\}</math> is a basis of <math>Y=\{x_1,\ldots,x_{ ...

...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 ...

...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 ...

...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 ...

...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 ...

...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 ...

...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 ...

...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 ...

...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 ...

...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 ...

...ng forest in <math>Y</math>), it holds that <math>|S|=n-k</math>. In other words, for any <math>Y\subseteq E</math>, all maximal member of <math>\mathcal{F} ...r that <math>\{x_1,\ldots,x_{k-1},y_i\}\not\in\mathcal{F}</math>. In other words, <math>\{x_1,\ldots,x_{k-1}\}</math> is a basis of <math>Y=\{x_1,\ldots,x_{ ...

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

...(in [[British English]]) or ''math'' (in [[American English]]). The short words ''maths'' or ''math'' are often used for [[arithmetic]], [[geometry]] or si ...

In other words, <math>Aw</math> is a random projection of a fixed unit vector; and <math>B ...

In other words, <math>Aw</math> is a random projection of a fixed unit vector; and <math>B ...

...and "dashes", which are known to occur in the proportion of 3:4. In other words, the probability of a "dot" being sent is <math>3/7</math>, and the probabi ...

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, the <math>Contract(G,uv)</math> merges the two vertices <math>u</math> and ...

...jeff560.tripod.com/mathword.html |title=Earliest known uses of some of the words of mathematics}}</ref> ...

...s are all the old neighbors of <math>u</math> and <math>v</math>. In other words, <math>u</math> and <math>v</math> are merged into one vertex. The old edge ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...

In other words, the encoding of trees to tuples by the Prüfer code is reversible, thus the ...