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glossary of mathematical terms

by Libbie Dach Published 4 years ago Updated 2 years ago

Look Up the Meaning of Math Words

  • Abacus. : An early counting tool used for basic arithmetic.
  • Absolute Value. : Always a positive number, absolute value refers to the distance of a number from 0.
  • Acute Angle. : An angle whose measure is between 0° and 90° or with less than 90° radians.
  • Addend. ...
  • Algebra. ...
  • Algorithm. ...
  • Angle. ...
  • Angle Bisector. ...
  • Area. ...
  • Array. ...

More items...

Full Answer

Which mathematical term can be defined precisely?

Therefore, an angle, circle, line segment, parallel lines can be precisely defined by using only undefined terms. circle, line segment, and parallel lines. Step-by-step explanation: A circle is the set of all points a given distance from a fixed point called a center. This only uses the undefined term "point."

What are some unusual mathematical terms?

acute angle an angle that is less than 90° addition a mathematical operation in which the sum of two numbers or quantities is calculated. Usually indicated by the symbol + algorithm or algorism a recursive procedure whereby an infinite sequence of terms can be generated angle the extent to which one such line or plane diverges from another, measured in degrees or radians arc a section of a ...

What are some math terms?

The headline was "Household income was 200 times lower in some parts of blobbety blobbety than others." The "blobbety blobbety" is of my manufacture. But it makes no less sense than the math in this headline. I know some of the incredibly smart people who ...

What are some mathematical words?

  • Denominator
  • Numerator
  • Addend
  • Heteroskedastic (from statistics)
  • Homoskedastic (likewise)

What is the branch of mathematics that uses symbols or letters to represent variables, values or numbers?

algebra: a branch of mathematics that uses symbols or letters to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations. algebra ic expression: a combination of numbers and letters equivalent to a phrase in language, e.g. x2 + 3 x – 4.

What is the branch of mathematics that studies motion and changing values?

calculus (infinitesimal calculus): a branch of mathematics involving derivatives and integrals, used to study motion and changing values. calculus of variations: an extension of calculus used to search for a function which minimizes a certain functional (a functional is a function of a function)

What is a conic section?

conic section: the section or curve formed by the intersection of a plane and a cone (or conical surface), depending on the angle of the plane it could be an ellipse, a hyperbola or a parabola. continued fraction: a fraction whose denominator contains a fraction, whose denominator in turn contains a fraction, etc, etc.

What is a triangular number?

triangular number: a number which can be represented as an equilateral triangle of dots, and is the sum of all the consecutive numbers up to its largest prime factor – it can also be calculated as n(n + 1) ⁄ 2, e.g. 15 = 1 + 2 + 3 + 4 + 5 = 5 (5 + 1) ⁄ 2.

What is quaternions in math?

quaternions: a number system that extends complex numbers to four dimensions (so that an object is described by a real number and three complex numbers, all mutually perpendicular to each other), which can be used to represent a three-dimensional rotation by just an angle and a vector.

What is composite number?

composite number: a number with at least one other factor besides itself and one, i .e. not a prime number. congruence: two geometrical figures are congruent to one another if they have the same size and shape, and so one can be transformed into the other by a combination of translation, rotation and reflection.

What are cardinal numbers?

cardinal numbers: numbers used to measure the cardinality or size (but not the order) of sets – the cardinality of a finite set is just a natural number indicating the number of elements in the set; the sizes of infinite sets are described by transfinite cardinal numbers, 0 (aleph-null), 1 (aleph-one), etc.

What is a map in math?

map. A synonym for a function between sets or a morphism in a category. Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of functions or morphisms (e.g., function as an analytic term and map as a general term).

What is projection in math?

A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, is a projection and its restriction to a graph of a function, say, is also a projection. The terms “ idempotent operator ” and “ forgetful map ” are also synonyms for a projection.

What is binary relation?

A binary relation is a set of ordered pairs; an element x is said to be related to another element y if and only if (x,y) are in the set.

What is the language of mathematics?

The language of mathematics is distinct from natural languages in that it aims to communicate abstract, logical ideas with precision and unambiguity. As a result, it is equipped with a system of specialized symbols and vocabularies — each with its own level of generality and formality.

What is local in math?

A term used to indicate that a mathematical object satisfies a property at some limited portions of the object — or from the point of view of some narrow, immediate surrounding. Some examples of local in mathematics include:

What is a one to one function?

A function that is both one-to-one and onto (i.e., one which pairs up the members of the domain perfectly with the members of the codomain ), and is also known as a bijective function or a bijection for short. Some examples of one-to-one correspondences in mathematics include:

What is transformation in math?

An invertible mapping from a set to itself (usually R 2 or R 3) with some salient geometrical underpinning, and which is often describable using vectors or matrices. Some prominent transformations in mathematics include:

What is the definition of unary operations?

A function which takes one or more inputs (usually from the same set) to a well-defined output , with the most common ones being the unary operations (i.e., operations with 1 input) and the binary operations (i.e., operations with 2 inputs). Some prominent operations in mathematics include, among others:

What is representation in math?

In mathematical education, a representation is one which encodes a mathematical idea or a relationship. It can occur as both internal (e.g., mental/cognitive construct) and external forms, and can be used to facilitate thinking, problem solving and communication in general. Some prominent examples of representation in mathematics include:

What is an identity in math?

A mathematical claim in the form of an equation — usually with some variables — which has been shown to be true for all values of the variables within a certain range of validity. Some examples of identities in mathematics include:

Overview

S

structure A mathematical structure on an object is an additional set of objects or data attached to the object (e.g., relation, operation, metric, topology).

structure A mathematical structure on an object is an additional set of objects or data attached to the object (e.g., relation, operation, metric, topology).

B

binary A binary relation is a set of ordered pairs; an element x is said to be related to another element y if and only if (x,y) are in the set.

binary A binary relation is a set of ordered pairs; an element x is said to be related to another element y if and only if (x,y) are in the set.

C

canonical 1. A canonical map is a map or morphism between objects that arises naturally from the definition or the construction of the objects being mapped against each other. 2. A canonical form of an object is some standard or universal way to express the object. correspondence A correspondence from a set to a set is a subset of a Cartesian product ; in other words, it is a binary relation but with the specification of the ambient sets used in the definition.

D

diagram See mathematical diagram.

I

invariant An invariant of an object or a space is a property or number of the object or a space that remains unchanged under some transformations.

invariant An invariant of an object or a space is a property or number of the object or a space that remains unchanged under some transformations.

M

map A synonym for a function between sets or a morphism in a category. Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of functions or morphisms (e.g., function as an analytic term and map as a general term). mathematics See mathematics. multivalued The term "multivalued function" is another term for a correspondence.

map A synonym for a function between sets or a morphism in a category. Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of functions or morphisms (e.g., function as an analytic term and map as a general term). mathematics See mathematics. multivalued The term "multivalued function" is another term for a correspondence.

P

projection A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, is a projection and its restriction to a graph of a function, say, is also a projection. The terms “idempotent operator” and “forgetful map” are also synonyms for a projection.

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      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
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