Help


[permalink] [id link]
+
Page "Methods of contour integration" ¶ 164
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Let and γ
Let, denote a random sample from a distribution having the pdf f ( x, θ ) for γ < θ < δ.
Let v ∈ T < sub > p </ sub > M be a tangent vector to the manifold at p. Then there is a unique geodesic γ < sub > v </ sub > satisfying γ < sub > v </ sub >( 0 )
Let E → M be a vector bundle with covariant derivative ∇ and γ: I → M a smooth curve parameterized by an open interval I.
Let γ be a differentiable curve in M with initial point γ ( 0 ) and initial tangent vector X
A connection ∇ on a vector bundle E → M defines a notion of parallel transport on E along a curve in M. Let γ: → M be a smooth path in M. A section σ of E along γ is said to be parallel if
Let γ be the boundary of B ( z < sub > 0 </ sub >, r ), taken with its positive orientation.
Let γ be a simple rectifiable loop in X around P. The ramification index of ƒ at P is
Let γ: → M be a differentiable curve with γ ( 0 )
Let E be a rank k vector bundle over a smooth manifold M and let ∇ be a connection on E. Given a piecewise smooth loop γ: → M based at x in M, the connection defines a parallel transport map P < sub > γ </ sub >: E < sub > x </ sub > → E < sub > x </ sub >.
Let γ ( s ) be a plane curve, parameterized by its arclength s. The unit tangent vector to the curve is, by virtue of the arclength parameterization,
Let γ be a periodic orbit through a point p and S be a local differentiable and transversal section of φ through p, called Poincaré section through p.
Let ( R, M, φ ) be a differentiable dynamical system with periodic orbit γ through p. Let
Let M be a connected Riemannian manifold and p a point of M. A map f defined on a neighborhood of p is said to be a geodesic symmetry, if it fixes the point p and reverses geodesics through that point, i. e. if γ is a geodesic and then It follows that the derivative of the map at p is minus the identity map on the tangent space of p. On a general Riemannian manifold, f need not be isometric, nor can it be extended, in general, from a neighbourhood of p to all of M.
Let γ ( s ) be a regular parametric plane curve, where s is the arc length, or natural parameter.
Let T < sup > a </ sup > be the tangent vector to a given geodesic γ, and X < sup > a </ sup > a vector field along γ connecting it to an infinitesimally near geodesic ( the deviation vector ).
Let M be a pseudo-Riemannian manifold ( or any manifold with an affine connection ) and let p be a point in M. Then for every V in T < sub > p </ sub > M there exists a unique geodesic γ: I → M for which γ ( 0 )

Let and be
Let the open enemy to it be regarded as a Pandora with her box opened ; ;
Let every policeman and park guard keep his eye on John and Jane Doe, lest one piece of bread be placed undetected and one bird survive.
`` Let him be now ''!!
Let us assume that it would be possible for an enemy to create an aerosol of the causative agent of epidemic typhus ( Rickettsia prowazwki ) over City A and that a large number of cases of typhus fever resulted therefrom.
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.
Let Af be the null space of Af.
Let N be a linear operator on the vector space V.
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.
Let us take a set of circumstances in which I happen to be interested on the legislative side and in which I think every one of us might naturally make such a statement.
Let the state of the stream leaving stage R be denoted by a vector Af and the operating variables of stage R by Af.
Let this be denoted by Af.
Let it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.
Let not your heart be troubled, neither let it be afraid ''.
The same God who called this world into being when He said: `` Let there be light ''!!
For those who put their trust in Him He still says every day again: `` Let there be light ''!!
Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.
Let her out, let her out -- that would be the solution, wouldn't it??

Let and small
Let those who have been serving as mercenaries for small pay now obtain the eternal reward.
Let J and C be categories with J a small index category and let C < sup > J </ sup > be the corresponding functor category.
Let J be a directed poset ( considered as a small category by adding arrows i → j if and only if i ≤ j ) and let F: J < sup > op </ sup > → C be a diagram.
Let C be a category and let J be a small index category.
Let I be a finite category and J be a small filtered category.
During the baptismal rite in many traditions, a small lit candle will be given to the newly-baptised by a member of the community, with words similar to, " Let your light so shine before others, that they might see your good works and glorify your Father in heaven.
There are small variations in payoffs between casinos, but the lowest paying hand in Let It Ride is typically a pair of 10s ; a pair of nines or less is a losing hand, which results in the player forfeiting their remaining wager to the house.
In the case that he could have said the same, it would have been: Let the small children come to me, so that I can exploit them in my struggle to Islamify the world.
Let us apply a very small magnetic field to the
: Let the Lion Dog be small ; let it wear the swelling cape of dignity around its neck ; let it display the billowing standard of pomp above its back.
* Let where is chosen as small as possible.
as part of a small convoy escorted by the Russian nuclear icebreaker NS 50 Let Pobedy, westward through the Bering, Sannikov, and Vilkitskiy Straits.
This is no small matter, as under English law, Admiralty decisions were official acts of the government, which could not be sued without its consent — traditionally expressed by the Attorney General responding to a petition of right with the formula " Let right be done ".
Let C be a locally small category and let Set be the category of sets.
Joe Kennedy, vice president of marketing for GM marque Saturn, accepted concerns regarding the EV1's cost, the outdated lead-acid battery technology, and the car's limited range, saying " Let us not forget that technology starts small and grows slowly before technology improves and costs go down.
Later the same year, she played a small part in Let it Ride with Richard Dreyfuss and Teri Garr.
# This image, a small portion of the overall copyrighted content, illustrates the cover of the album or associated single that is discussed in the article Live and Let Die ( soundtrack ).
Let the Memories Begin marketing campaign begins, using new enhanced video projection technology to project images of park guests on Cinderella's Castle at Walt Disney World's Magic Kingdom, and on " it's a small world " at Disneyland Park.
< small >< nowiki ></ nowiki >* For the studio version of the song, the anvil was played by Starr ; in the Beatles film Let It Be, however, Evans is seen hitting the anvil as the Beatles record the track .</ small >
He played a small role in the Arnold Wesker one-act play Last Day In Dreamland at the Lyric Hammersmith, and interspersed acting in minor film roles ( Never Let Go-1960 ), TV parts and commercials with solo record releases on Decca.
The Swaziland regime has been watching PUDEMO closely since it launched the Ulibambe Lingashoni (" Don't Let the Sun Set ") campaign, which is aimed at a " total liberation " of Swaziland, and has recently clamped down heavily on even small manifestations of support for Pudemo.
Let America Laugh is a 2003 documentary film produced and directed by Lance Bangs of stand-up comedian David Cross's tour of small alternative rock clubs.
( Ultimately, due to their relatively small roles and the fact it was animated, United Artists still considered them to owe another film ; Let It Be would be the third film to complete their contract with the studio.

0.710 seconds.