The " space " in cyberspace has more in common with the abstract, mathematical meanings of the term ( see space ) than physical space.

This intrinsic notion of dimension is one of the chief ways the mathematical notion of dimension differs from its common usages.

The greatest common divisor is often written as GCD ( a, b ) or, more simply, as ( a, b ), although the latter notation is also used for other mathematical concepts, such as two-dimensional vectors.

Consequently, a common practice is to model " sampling " as a multiplication by the Dirac comb function, which of course is only " possible " in a purely mathematical sense .</ ref >

There are many modern concepts of integration, among these, the most common is based on the abstract mathematical theory known as Lebesgue integration, developed by Henri Lebesgue.

* Lowest common denominator, a mathematical quantity

) Peano maintained a clear distinction between mathematical and logical symbols, which was not yet common in mathematics ; such a separation had first been introduced in the Begriffsschrift by Gottlob Frege, published in 1879.

Principal ideal domains are thus mathematical objects which behave somewhat like the integers, with respect to divisibility: any element of a PID has a unique decomposition into prime elements ( so an analogue of the fundamental theorem of arithmetic holds ); any two elements of a PID have a greatest common divisor ( although it may not be possible to find it using the Euclidean algorithm ).

In mathematics, statistics, and the mathematical sciences, a parameter is a quantity that serves to relate functions and variables using a common variable when such a relationship would be difficult to explicate with an equation.

Degrees are traditionally used in navigation, surveying, and many applied disciplines, while radians are more common in mathematics and mathematical physics.

It is common to use this first type of argument with propositions such as the one above, concerning the non-existence of some mathematical object.

On the other hand, it is also common to use arguments of the second type concerning the existence of some mathematical object.

Logic puzzles are a common type of mathematical puzzle.

In addition to the fundamental operations of arithmetic and mathematical functions, modern spreadsheets provide built-in functions for common financial and statistical operations.

* An irrational Nth root, any mathematical expression such as a square root, cube root or higher root which cannot be written as a common fraction

Despite the common belief that Edison did not use mathematics, analysis of his notebooks reveal that he was an astute user of mathematical analysis conducted by his assistants such as Francis Robbins Upton, for example, determining the critical parameters of his electric lighting system including lamp resistance by an analysis of Ohm's Law, Joule's Law and economics.

Some derivation rules and formal languages are intended to capture mathematical reasoning ; the most common examples use first-order logic.

This result has been found to apply to a wide variety of data sets, including electricity bills, street addresses, stock prices, population numbers, death rates, lengths of rivers, physical and mathematical constants, and processes described by power laws ( which are very common in nature ).

In the various subfields of physics, there exist two common usages of the term flux, both with rigorous mathematical frameworks.

Juries should weigh up conflicting and corroborative evidence, using their own common sense and not by using mathematical formulae, such as Bayes ' theorem, so as to avoid " confusion, misunderstanding and misjudgment ".

" A common type of conceptual blending process would seem apply to the entire mathematical procession.

It has been argued that the generally accepted method of justifying mathematical axioms by their usefulness in common practice can potentially undermine Zermelo's reductionist program.

Jan Swammerdam observed the common mathematical characteristics of a wide range of shells from Helix to Spirula and Henry Nottidge Moseley described the mathematics of univalve shells.

A common application of proof by mathematical induction is to prove that a property known to hold for one number holds for all natural numbers:

though this is something of a ( fairly common ) abuse of notation.

The common notation of chain rule is due to Leibniz.

Such notation involving operators is common in physics and algebra.

If certain coordinate systems are used, for instance, polar-toroidal coordinates ( common in plasma physics ) using the notation ∇ × F will yield an incorrect result.

The common notation for the divergence ∇· F is a convenient mnemonic, where the dot denotes an operation reminiscent of the dot product: take the components of ∇ ( see del ), apply them to the components of F, and sum the results.

In this system, the number ten may be written as " A ", " T " or " X ", and the number eleven as " B " or " E " ( another common notation, introduced by Sir Isaac Pitman, is to use a rotated " 2 " for ten and a reversed " 3 " for eleven ).

In RPN, the operator is placed after its operands, as opposed to the more common infix notation where the operator is placed between its operands.

Historically, several number bases have been used for representing floating-point numbers, with base 2 ( binary ) being the most common, followed by base 10 ( decimal ), and other less common varieties, such as base 16 ( hexadecimal notation ), as well as some exotic ones like 3 ( see Setun ).

Many people in cultures which have notation still learn by ear and ear training, often through a musicianship course at a music conservatory or college, is common practice among those who use notation extensively.

A remark on the notation: Because it is common to consider several congruence relations for different moduli at the same time, the modulus is incorporated in the notation.

This would have been clearer if the notation a < sub > n </ sub > b had been used, instead of the common traditional notation.

In everyday usage infix notation is the most common, however other notations also exist, such as the prefix and postfix notations.

These peculiarities are the most common in the plays of Plautus, and their notation should make initial readings a bit easier.

Unlike more common systems for transliterating Arabic, SATTS does not provide the reader with any more phonetic information than standard Arabic orthography does ; that is, it provides the bare Arabic alphabetic spelling with no notation of short vowels, doubled consonants, etc.

Gibbs introduced the now common notation for the dot product and the cross product of two vectors, and he was largely responsible for the development of the vector calculus techniques still used today in electrodynamics and fluid mechanics.

Siteswap is by far the most common juggling notation.

A common alternative notation is and for positive semidefinite and positive definite matrices, respectively .</ ref > The notion comes from functional analysis where positive-semidefinite matrices define positive operators.

It is common to score music for the whistle using standard musical notation.

Abc notation is the most common means of electronic exchange of tunes.