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Exponential map
Exponential map There are two different (but closely related) notions of an exponential map in differential geometry, both of which generalize the ordinary exponential function of mathematical analysis. Lie theory ...
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Talk:Exponential map
Talk:Exponential map In the section on Gauss's lemma ... I originally said "The differential of the exponential map at v evaluated on w (more compactly ... theorem). The crucial point is that the exponential map preserves the normality of vectors ...
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Exponential
Exponential The term exponential may refer to any of several topics in mathematics: Exponential distribution Exponential function Exponential growth, exponential decay Exponential time Matrix ...
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Matrix exponential
Matrix exponential In mathematics, the matrix exponential is a function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie ... a nn real or complex matrix. The exponential of X, denoted by e X ...
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Exponential function
Exponential function The exponential function is one of the most important ... Sometimes, especially in the sciences, the term exponential function is reserved for functions of the ... This article will focus initially on the exponential function with base e. In general, the ... natural logarithm, one can define more general exponential functions. The function |
Exponential object
Exponential object In mathematics, specifically in category theory, an exponential object is the categorical equivalent of a ... theory. Categories with all finite products and exponential objects are called cartesian closed categories Definition ... and Z be objects of C. The exponential object Z Y can be defined as ... times Y) \rightarrow Z\, is an exponential object if for any object X ...
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Logistic map
Logistic map The logistic map is a polynomial mapping, often cited as ... very simple non-linear dynamical equations. The map was popularized in a seminal 1976 paper ... of x. Bifurcation diagram for the Logistic map The bifurcation diagram is a fractal: if ... diagrams is available. Chaos and the logistic map The relative simplicity of the logistic ...
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Exponential function (translated from Portuguese)
Exponential function exponential function she is one of most important ... logarithm, it can be defined more generic exponential functions, as below: . The exponential function also generates funções (as it can ... except polynomial they are created from the exponential function. The exponential functions "transit between ...
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Moment map
Moment map In mathematics, specifically in symplectic geometry, the moment map (or momentum map) is a tool used to glean information ... group on a symplectic manifold. The moment map generalizes the classical notions of linear and ... mathbf{g} \to G is the exponential map and denotes ...
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Exponential sheaf sequence
Exponential sheaf sequence In mathematics, the exponential sheaf sequence is a fundamental short exact ... are both sheaves of abelian groups. The exponential function gives a sheaf homomorphism exp:O ... are 2πin, with n an integer. The exponential sheaf sequence is therefore 0 → 2πiZ ... M → O M * → 0. The exponential mapping here is not always a ...
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