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Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
The difference between two points, themselves, is known as their Delta (Δ P ), as is the difference in their function result, the particular notation being determined by the direction of formation: Backward difference: ∇F (P) = F (P) − F (P − ΔP). The general preference is the forward orientation, as F (P) is the base, to which ...
Relative change. In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared, i.e. dividing by a standard or reference or starting value. [1] The comparison is expressed as a ratio and is a unitless number.
The absolute difference of two real numbers and is given by , the absolute value of their difference. It describes the distance on the real line between the points corresponding to and . It is a special case of the L p distance for all and is the standard metric used for both the set of rational numbers and their completion, the set of real ...
In mathematics, differential refers to several related notions [ 1] derived from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives of functions. [ 2] The term is used in various branches of mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology .
Finite difference. A finite difference is a mathematical expression of the form f (x + b) − f (x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations ...
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets and is . The symmetric difference of the sets A and B is commonly denoted by (alternatively, ), , or .
Difference (mathematics), the result of a subtraction. Difference equation, a type of recurrence relation. Differencing, in statistics, an operation on time-series data. Data differencing, in computer science. Set difference, the result of removing the elements of a set from another set.