Orthogonal Definition & Meaning - Merriam-Webster
WEBThe meaning of ORTHOGONAL is intersecting or lying at right angles. How to use orthogonal in a sentence. intersecting or lying at right angles; having perpendicular …
Orthogonality - Wikipedia
WEBIn mathematics, orthogonality is the generalization of the geometric notion of perpendicularity to the linear algebra of bilinear forms . Two elements u and v of a vector space with bilinear form B are orthogonal when B(u, v) = 0. Depending on the bilinear form, the vector space may contain nonzero self-orthogonal vectors.
ORTHOGONAL Definition & Meaning | Dictionary.com
WEBOrthogonal is commonly used in mathematics, geometry, statistics, and software engineering. Most generally, it’s used to describe things that have rectangular or right …
ORTHOGONAL | English meaning - Cambridge Dictionary
WEBadjective. mathematics specialized uk / ɔːˈθɒɡ. ə n. ə l / us / ɔːˈθɑː.ɡ ə n. ə l / Add to word list. relating to an angle of 90 degrees, or forming an angle of 90 degrees. SMART …
Orthogonal Definition (Illustrated Mathematics Dictionary) - Math …
WEBOrthogonal. more ... In Geometry it means at right angles to. Perpendicular. Example: in a 2D graph the x axis and y axis are orthogonal (at right angles to each other): Example: in 3D space the x, y and z axis are orthogonal. See: Perpendicular.
Orthogonal -- from Wolfram MathWorld
WEBApr 25, 2024 · In elementary geometry, orthogonal is the same as perpendicular. Two lines or curves are orthogonal if they are perpendicular at their point of intersection. Two vectors v and w of the real plane R^2 or the real space R^3 are …
4.11: Orthogonality - Mathematics LibreTexts
WEBSep 17, 2022 · Find the orthogonal projection of a vector onto a subspace. Find the least squares approximation for a collection of points. In this section, we examine what it means for vectors (and sets of vectors) to be orthogonal and orthonormal. First, it is necessary to review some important concepts.
ORTHOGONAL | definition in the Cambridge English Dictionary
WEBadjective. mathematics specialized us / ɔːˈθɑː.ɡ ə n. ə l / uk / ɔːˈθɒɡ. ə n. ə l / Add to word list. relating to an angle of 90 degrees, or forming an angle of 90 degrees. SMART …
Orthogonal functions - Wikipedia
WEBOrthogonal functions. In mathematics, orthogonal functions belong to a function space that is a vector space equipped with a bilinear form. When the function space has an interval as the domain, the bilinear form may be the integral of …
9.3: Orthogonality - Mathematics LibreTexts
WEBDefinition 9.3.1. Two vectors u, v ∈ V u, v ∈ V are orthogonal (denoted u⊥v u ⊥ v) if u, v = 0 u, v = 0. Note that the zero vector is the only vector that is orthogonal to itself. In fact, the zero vector is orthogonal to every vector v ∈ V v …
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