conjugate

  • 51Conjugate-permutable subgroup — In mathematics, in the field of group theory, a conjugate permutable subgroup is a subgroup that commutes with all its conjugate subgroups. The term was introduced by Tuval Foguel in 1996 and arose in the context of the proof that for finite… …

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  • 52Conjugate (algebra) — This article is about conjugates in field extensions. For other uses, see Conjugation. In algebra, a conjugate of an element in a quadratic extension field of a field K is its image under the unique non identity automorphism of the extended field …

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  • 53Conjugate points — In differential geometry, conjugate points are, roughly, points that can almost be joined by a 1 parameter family of geodesics. For example, on a sphere, the north pole and south pole are connected by any meridian. Definition Suppose p and q are… …

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  • 54Conjugate index — In mathematics, two real numbers p,q > 1 are called conjugate indices if Formally, we will also define as conjugate to p = 1 and vice versa. Conjugate indices are used in Hölder s inequality. Also, if p,q > 1 are conjugate indices, the… …

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  • 55Conjugate focal plane — In optics, a conjugate focal plane of a given plane, P, is a plane P′ such that points on P are imaged at P′.[1] In a telescope, the subject focal plane is at infinity and the conjugate image plane, at which the image sensor is placed, is said to …

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  • 56Conjugate acid — Within the Brønsted–Lowry acid base theory (protonic), a conjugate acid is the acid member, HX, of a pair of two compounds that transform into each other by gain or loss of a proton. A conjugate acid can also be seen as the chemical substance… …

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  • 57Conjugate Fourier series — In the mathematical field of Fourier analysis, the conjugate Fourier series arises by realizing the Fourier series formally as the boundary values of the real part of a holomorphic function on the unit disc. The imaginary part of that function… …

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  • 58conjugate solution — noun a mixture of two partially miscible liquids A and B produces two conjugate solutions: one of A in B and another of B in A • Syn: ↑conjugate • Derivationally related forms: ↑conjugate (for: ↑conjugate) • Hypernyms: ↑solution …

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  • 59Conjugate vaccine — A conjugate vaccine is created by covalently attaching a poor (polysaccharide organism) antigen to a carrier protein (preferably from the same microorganism), thereby conferring the immunological attributes of the carrier on the attached antigen …

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  • 60Conjugate depth — In fluid dynamics, the conjugate depths refer to the depth (y1) upstream and the depth (y2) downstream of the hydraulic jump whose momentum fluxes are equal for a given discharge (volume flux) q. The depth upstream of a hydraulic jump is always… …

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