Mathematical Glossary (Work in Progress)
Created | Updated May 4, 2004
This glossary is indexed and linked, rather like a normal Web page. It comprises a list of letters, each linking to a list of words. Each word in the list links to a definition, and each definition links back to the list of words. The definitions may contain links to other words in this glossary.
A | B | C | D | E | F | G | H | I | J | K | L | M |
N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
Other Guide entries may link directly to the definition of a word in the glossary. The format of such a link is
<LINK H2G2="A2594991#xxx-word">nnn</LINK> |
where xxx denotes the word exactly as defined here, and nnn denotes the text for the link. For example, in the sentence
The zeroes of a quadratic may be determined by the use of a formula. |
the word 'zeroes' is not an entry in the glossary, but 'zero' is defined. Thus the GuideML required would be
The <LINK H2G2="A2594991#zero-word">zeroes</LINK> of a quadratic may be determined by the use of a formula. |
producing the sentence
The zeroes of a quadratic may be determined by the use of a formula. |
with a link to the definition of 'zero'.
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| accumulate U241325 | perform addition. Often associated with multiplication, either in the sense of the repeated additions necessary to form a product, or in the sense of the additions needed to form a sum of products. |
| binary U241325 | usually an adjective, when binary means related to the number two. In computer contexts, sometimes used as a noun, to denote a program in a machine-readable, executable form. |
| corollary U152404 | A corollary is a theorem which is implied by another. |
| d-word U241325 | d-word is ... |
| e-word U241325 | e-word is ... |
| field U241325 | field |
| g-word U241325 | g-word is ... |
| h-word U241325 | h-word is ... |
| i-word U241325 | i-word is ... |
| j-word U241325 | j-word is ... |
| k-word U241325 | k-word is ... |
| lemma U152404 | A mathematically proven statement, usually presented with a proof, which is used as a component in the proof of a theorem. Although not usually of great importance in itself, a lemma may be an essential part of a theorem. It is often said (not entirely in jest) that the lemmas are the hard parts of a theorem! |
| mean U234603 | In statistics, a type of average that can be calculated by adding up all of the elements in the data and dividing by the number of elements. For example, in the data series 2, 16, 42, the mean is (2+16+42)/3 which is 20. |
| median U234603 | In statistics, a type of average that can be calculated by arranging all of the elements in a set of data in ascending order, and then locating the number in the middle of the series. If the number of elements in the data is even, then the median is the number between the two middle values. |
| mode U234603 | In statistics, a type of average that can be defined simply as the most frequently occurring value in a set of data. Note that the adjectival form of the word is 'modal', so for example it can be said that the 'modal value' of the data 2, 4, 6, 6, 8, 8, 8, 8, 42 is '8'. |
| n-word U241325 | n-word is ... |
| o-word U241325 | o-word is ... |
| p-word U241325 | p-word is ... |
| q-word U241325 | q-word is ... |
| radix U241325 | radix |
| remainder U241325 | remainder |
| s-word U241325 | s-word is ... |
| theorem U152404 | A mathematically proven statement, usually presented with a proof (or a reference to a proof). Sub-theorems which may appear in a proof are usually referred to as lemmas, and further results which follow directly from a theorem are usually referred to as corollaries. The term theorem is therefore usually applied to important statements only. |
| u-word U241325 | u-word is ... |
| v-word U241325 | v-word is ... |
| w-word U241325 | w-word is ... |
| x-word U241325 | x-word is ... |
| y-word U241325 | y-word is ... |
| zero U241325 | the noun zero denotes either a specific number, or a property of a function. In computer contexts, sometimes used as a verb, meaning to make equal to the number zero. |
| number zero | the unique value, denoted by 0, which acts as an identity element in an addition operation, that is x+0 = 0+x = x. |
| zeroes of a function | the zeroes of a function are those values of the indepent variable(s) which cause the value of that function to become zero. A function may have no zeroes (for example ex is non-zero for any finite value of x, real or complex), one or more zeroes (for example x2–3x+2 is zero if x=1 or if x=2), or an infinity of zeroes (for example sin x has the value zero when x=nπ for any integer n). |
