Definitions for linearity
lin·ear·i·ty

Princeton's WordNetRate this definition:0.0 / 0 votes

1. one-dimensionality, linearitynoun

   the property of having one dimension

WiktionaryRate this definition:0.0 / 0 votes

1. linearitynoun

   The state of being linear.

2. linearitynoun

   A relationship between several quantities which can be considered as proportional and expressed in terms of linear algebra, or any mathematical property of a relationship, operation or function that is analogous to such proportionality, satisfying additivity and homogeneity.

WikipediaRate this definition:0.0 / 0 votes

1. Linearity

   Linearity is the property of a mathematical relationship (function) that can be graphically represented as a straight line. Linearity is closely related to proportionality. Examples in physics include rectilinear motion, the linear relationship of voltage and current in an electrical conductor (Ohm's law), and the relationship of mass and weight. By contrast, more complicated relationships are nonlinear. Generalized for functions in more than one dimension, linearity means the property of a function of being compatible with addition and scaling, also known as the superposition principle. The word linear comes from Latin linearis, "pertaining to or resembling a line".

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1. linearity

   Linearity, in mathematics and science, refers to a concept used to describe a relationship or function in which a change in one quantity results in a proportional change in another quantity. It implies that a system or relationship can be represented by a straight line on a graph and follows the properties of superposition (the combined output of two systems equals the sum of their individual outputs) and homogeneity (scaling the input equals the same scaling of the output).

WikidataRate this definition:0.0 / 0 votes

1. Linearity

   In mathematics, a linear map or linear function f(x) is a function which satisfies the following two properties: ⁕Additivity: f = f(x) + f. ⁕Homogeneity of degree 1: f = αf(x) for all α. It can be shown that additivity implies the homogeneity in all cases where α is rational; this is done by proving the case where α is a natural number by mathematical induction and then extending the result to arbitrary rational numbers. If f is assumed to be continuous as well then this can be extended to show that homogeneity for α any real number, using the fact that rationals form a dense subset of the reals. In this definition, x is not necessarily a real number, but can in general be a member of any vector space. A more specific definition of linear function, not coinciding with the definition of linear map, is used in elementary mathematics. The concept of linearity can be extended to linear operators. Important examples of linear operators include the derivative considered as a differential operator, and many constructed from it, such as del and the Laplacian. When a differential equation can be expressed in linear form, it is particularly easy to solve by breaking the equation up into smaller pieces, solving each of those pieces, and summing the solutions.

Anagrams for linearity »

1. inreality

How to pronounce linearity?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say linearity in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of linearity in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of linearity in Pythagorean Numerology is: 5

Examples of linearity in a Sentence

1. Susan Hough:

   There is something called non-linearity, and it turns out that if you try to shake soft sediments really hard, it's not a bowl of Jell-O as much as it is a sandbox.

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=linearity
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Linearity
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Linearity
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=linearity