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Continuously variable transmission (4379 bytes)
1: A '''continuously variable transmission (CVT)''' is a type of [[aut... 5: Continuously variable transmissions operate on the theory of [... 7: Some continuously variable transmissions instead use a [[variable d... Continuously variable slope delta modulation (620 bytes) 1: '''Continuously variable slope delta modulation''' is a [[voice c... An infinitely differentiable function that is not analytic (3215 bytes) 9: ...f''<sup> (''n'')</sup> we prove to exist. For any differentiable function ''R''(''x'') the derivative for ''x'' > ... 34: ...rentiable function one can get another infinitely differentiable function with prescribed behavior <!-- prescribed... 36: ...that the sheaf of differentiable functions on a [[differentiable manifold]] is [[flasque]], in contrast with the a... 38: ... up [[partition of unity|partitions of unity]] on differentiable manifolds. Green's identities (1435 bytes) 5: ... differentiable]], and ψ is once continuously differentiable, on some region ''U'', then: 10: If φ and ψ are both twice continuously differentiable on ''U'', then: 15: If ψ is twice continuously differentiable on ''U'' Piecewise (1621 bytes) 5: ...d. A [[path]] said to be ''piecewise continuously differentiable'' is a ''continuous'' path (in the plane, say) bu... Integration by parts (6470 bytes) 7: ...'f''(''x'') and ''g''(''x'') are two continuously differentiable functions. Then the integration by parts rule sta... 32: ...s formula is valid whenever ''f'' is continuously differentiable and ''g'' is continuous. 133: ...ule]] of differentiation: If the two continuously differentiable functions ''u''(''x'') and ''v''(''x'') are given... 145: ...he fact that ''u'' and ''v'' are ''continuously'' differentiable ensures that the two individual integrals exist.) Inverse function theorem (666 bytes) 3: ...minant that is nonzero, and ''F'' is continuously differentiable near ''P'', it is an invertible function near ''P... Glossary of differential geometry and topology (4449 bytes) 40: ...''' Given two [[Manifold#Differentiable_manifolds|differentiable manifolds]] 80: ...art overlap functions are infinitely continuously differentiable. Cauchy integral theorem (2977 bytes) 10: ...nctions are in fact infinitely often continuously differentiable. 23: ...on, and let γ be a [[piecewise continuously differentiable path]] in ''U'' with start point ''a'' and end po... Weierstrass function (704 bytes) 1: .... [[Almost all]] continuous functions are nowhere differentiable, and this property is both stable and generic. We... Riemannian manifold (3944 bytes) 1: ...geometry]], a '''Riemannian manifold''' is a real differentiable [[manifold]] in which each [[tangent space]] is e... 10: ...; : [''a'', ''b''] → ''M'' is a continuously differentiable [[curve]] in the Riemannian manifold ''M'', then ... 16: ...mum|inf]]{ L(γ) : γ is a continuously differentiable curve joining ''x'' and ''y''}. Critical value (660 bytes) 5: ...al value''' of a [[differentiable map]] between [[differentiable manifold]]s is the image of a [[critical point]]. Fréchet space (6459 bytes) 4: ...space]]s. Spaces of infinitely often [[derivative|differentiable]] [[function (mathematics)|function]]s defined on... 27: ...<sup>∞</sup>([0,1]) of all infinitely often differentiable functions ''f'' : [0,1] → '''R''' becomes a ... 32: ...ach space]], then the set of all infinitely often differentiable functions ''f'' : ''M'' → ''B'' can be turne... 42: ...;''U'' and ''h''∈''X''. We say that ''P'' is differentiable at ''x'' in the direction ''h'' if the [[limit (m... 44: exists. We call ''P'' continuously differentiable in ''U'' if Substitution rule (4620 bytes) 5: ...s)|function]], and φ(''t'') is a continuously differentiable function which is defined on the [[interval (math... 52: ...s to be [[injective|one-to-one]] and continuously differentiable, and the differentials transform as 58: ...i; : ''U'' → ''V'' a [[bijection|bijective]] differentiable function with continuous partial derivatives. Th... The analytization trick (1839 bytes) 3: ...analytic function|analytic]], but happens to be [[differentiable]] with respect to its [[real number|real]] and [[... 20: ...r|real]] and [[imaginary]] components (or n times differentiable, as the case may be). In that case, Ford Durashift (361 bytes) 4: ... also a CVT ([[Continuously variable transmission|Continuously Variable Transmission]]) version for smaller cars... Directional derivative (1872 bytes) 1: ... the [[directional derivative]] of a multivariate differentiable function along a given unit vector intuitively re... 4: The [[directional derivative]] of a differentiable function <math>f(\vec{x}) = f(x_1, x_2, \ldots, x... 15: ...th> by evaluating the directional derivative of a differentiable function <math>f</math> along the unit vector <ma... Smooth function (3869 bytes) 1: ...]; such functions are also called '''continuously differentiable'''. A function is called '''C<sup>''n''</sup>''' ... 23: See also: [[An infinitely differentiable function that is not analytic]] Convex (5589 bytes) 36: ...[continuous]] on the whole ''C'' and [[derivative|differentiable]] at all but at most [[countable|countably many]]... 42: A [[differentiable]] function of one variable is convex on an interv... 44: A [[continuously differentiable]] function of one variable is convex on an interv... 46: A twice differentiable function of one variable is convex on an interval... 49: More generally, a continuous, twice differentiable function of multiple variables is convex on a con... Helmholtz decomposition (1129 bytes) 2: ...of a [[vector field]] which is twice continuously differentiable, with rapid enough decay at infinity, splits the ...
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