scalar

1. 1. A quantity, such as mass, length, or speed, that is completely specified by its magnitude and has no direction.
   2. Mathematics. A number, numerical quantity, or element in a field.
2. A device that yields an output equal to the input multiplied by a constant, as in a linear amplifier.

[Latin scālāris, of a ladder, from scālae, ladder. See scale².]

A term synonymous in mathematics with “real” in real number or real function. The magnitude of a vector two units in length is the real number of scalar 2. The dot or scalar product of two vectors is the product of three real numbers associated with them (the magnitude of the first vector times the magnitude of the second, times the cosine of the angle between them) and is therefore a scalar. If in the functional relationships S = S(s, y, z), F = F(x, y, z), S is a real number and F is a vector, then S(s, y, z) is a scalar function but F(x, y, z) is a vector function. See also Calculus of vectors.

A single item or value. Contrast with vector and array, which are made up of multiple values.

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A physical quantity that can be described completely in terms of its magnitude (e.g. length, mass, speed, time, and volume). Compare vector.

In electrocardiography, a single magnitude value of a recorded electrical potential, expressed in millivolts.

See

• Scalar (mathematics), a quantity used to multiply vectors in the context of vector spaces
• Scalar (physics), a quantity which is independent of specific classes of coordinate systems
• Scalar (computing), an atomic quantity that can hold only one value at a time

See also

• Scalar field
• Scalar multiplication
• Inner product space
• Scalar product, also known as the dot product
• Pseudoscalar
• Scalar processor
• Pterophyllum scalare (Lichtenstein, 1823), a species of freshwater angelfish

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Dansk (Danish)
adj. - skalær-
n. - skalar

Nederlands (Dutch)
scalair (wikundige grootheid met waarde maar zonder richting), wel een waarde maar geen richting aangevend (wiskunde)

Français (French)
adj. - scalaire
n. - grandeur scalaire

Deutsch (German)
n. - Skalar
adj. - skalar

Ελληνική (Greek)
n. - (μαθημ.) μονόμετρο μέγεθος
adj. - (μαθημ.) μονόμετρος

Italiano (Italian)
scalare

Português (Portuguese)
n. - escalar (m) (Mat.)
adj. - escalar

Русский (Russian)
скаляр, скалярная величина, скалярный

Español (Spanish)
adj. - escalar
n. - cantidad escalar

Svenska (Swedish)
n. - skalar
adj. - skalenlig

中文（简体）(Chinese (Simplified))
数量的, 梯状的, 分等级的, 数量

中文（繁體）(Chinese (Traditional))
adj. - 數量的, 梯狀的, 分等級的
n. - 數量

한국어 (Korean)
adj. - 스칼라의, 단계가 있는
n. - 스칼라량 (실수로 표시할 수 있는 수량)

日本語 (Japanese)
n. - スカラー
adj. - スカラーの, 段階のある

العربيه (Arabic)
‏(الاسم) كميه ذات بعد واحد (صفه) عددي, لا موجه‏

עברית (Hebrew)
adj. - ‮של סולם, ניתן לציון על סולם, סולמי‬
n. - ‮גודל ללא כיוון (מתמט. & פיסיקה)‬

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