Taylor said Mrs. Huntley and her husband also will be questioned about a series of 15 Portland robberies in spring of 1959 in which the holdup men bound their victims with tape before fleeing.

The captaincy passed from Border to Taylor in the mid-1990s and then to Steve Waugh before the 2001 series.

It is possible to define the function by its Taylor series expansion around x = 0:

( The Taylor series indicates that − J < sub > 1 </ sub >( x ) is the derivative of J < sub > 0 </ sub >( x ), much like − sin x is the derivative of cos x ; more generally, the derivative of J < sub > n </ sub >( x ) can be expressed in terms of J < sub > n ± 1 </ sub >( x ) by the identities below.

The Bernoulli numbers appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in formulas for the sum of powers of the first positive integers, in the Euler – Maclaurin formula, and in expressions for certain values of the Riemann zeta function.

In 1977, Bixby appeared with Donna Mills, Richard Jaeckel, and William Shatner in the last episode, entitled " The Scarlet Ribbon ", of NBC's western series The Oregon Trail, starring Rod Taylor and Andrew Stevens.

By using Taylor series approximations of the maps and an understanding of the differences that may be eliminated by a change of coordinates, it is possible to catalog the bifurcations of dynamical systems.

The original proof is based on the Taylor series expansions of the exponential function e < sup > z </ sup > ( where z is a complex number ) and of sin x and cos x for real numbers x ( see below ).

In the last step we have simply recognized the Taylor series for sin ( x ) and cos ( x ).

As a quick approximation of the error function, the first 2 terms of the Taylor series can be used:

A striking example is the Taylor series of in 1:

The next-higher term in the Taylor series ( related to the second derivative of ) is called group velocity dispersion.

In July 2008, the company after a series of change of ownership was eventually acquired by the US private equity firm, NRDC Equity Partners, which also owned American department store chain Lord & Taylor.

The existence of a complex derivative is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal to its own Taylor series.

The term analytic function is often used interchangeably with “ holomorphic function ”, although the word “ analytic ” is also used in a broader sense to describe any function ( real, complex, or of more general type ) that is equal to its Taylor series in a neighborhood of each point in its domain.

That is, a holomorphic function f has derivatives of every order at each point a in its domain, and it coincides with its own Taylor series at a in a neighborhood of a.

In fact, f coincides with its Taylor series at a in any disk centered at that point and lying within the domain of the function.

Scott captured Mexico City in September 1847, and Taylor won a series of victories in northern Mexico.

Parametric and lossy ' instantaneous ' ( i. e. electronic ) nonlinear optical phenomena, in which the optical fields are not too large, can be described by a Taylor series expansion of the dielectric Polarization density ( dipole moment per unit volume ) P ( t ) at time t in terms of the electrical field E ( t ):

The show was created by Rick Berman, Michael Piller, and Jeri Taylor and is the fourth incarnation of Star Trek, which began with the 1960s series Star Trek, created by Gene Roddenberry.

The exponential function ( in blue ), and the sum of the first n + 1 terms of its Taylor series at 0 ( in red ).

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

The concept of a Taylor series was formally introduced by the English mathematician Brook Taylor in 1715.

Taylor County is considered part of West Texas, but on the state map, it appears in a more central, than western, location.

See the map and discussion in the article on Taylor County.

However, if X and Y are manifolds, then the spaces of jets ( finite order Taylor series at x of map (- germs )) do have topologies as they can be identified with finite-dimensional vector spaces.

Geoffrey Taylor designed the semicolon-shaped map of the island, based on a shrunken version of New Zealand.

In 1916 he formulated the Bieberbach conjecture, stating a necessary condition for a holomorphic function to map the open unit disc injectively into the complex plane in terms of the function's Taylor series.

John Taylor, Parley P. Pratt and Orson Hyde brought money contributed by the English Saints, a map based on John C. Fremont ’ s recent western expedition, and instruments for calculating latitude, elevation, temperature and barometric pressure.

Martin Taylor of Eurogamer awarded the Elite Edition a score of 9 / 10, praising the graphics and level design, and particularly the new multiplayer component, citing efficient, low-lag networking code and singling out the co-operative multiplayer game mode for its effectiveness, although noting that the deathmatch game mode will often be dominated by one player with a fast connection camping in one area of the map, responding negatively to the WON. net multiplayer service and criticizing the ease with which the arrest-based gameplay can break down in a fierce firefight.

* An analytic manifold, or C < sup > ω </ sup >- manifold is a smooth manifold with the additional condition that each transition map is analytic: the Taylor expansion is absolutely convergent and equals the function on some open ball.

Gen. Taylor will report to President Kennedy in a few days on the results of his visit to South Viet Nam and, judging from some of his remarks to reporters in the Far East, he is likely to urge a more efficient mobilization of Vietnamese military, economic, political and other resources.

Gen. Taylor, the President's special military adviser, is a level-headed officer who is not likely to succumb to propaganda or pressure.

Mason and Taylor both show that the major axis of the ellipsoids is at 45-degrees at low rates of shear and that it approaches the direction of shear with increased rates of shear.

In a similar vein, but writing from the opposite side, Thomas Taylor, a private in the 6th Alabama Volunteers, in a letter to his wife, stated: `` you know that my heart is with you but I never could have been satisfied to have staid at home when my country is invaded by a thievin foe, by a set of cowardly skunks whose motto is Booty.

Gershwin collaborated on the original program notes with the critic and composer Deems Taylor, noting that: " My purpose here is to portray the impression of an American visitor in Paris as he strolls about the city and listens to various street noises and absorbs the French atmosphere.

"), and is asked to " get out " by Derek Taylor.

For example, Jeremy Taylor defined 5 rules in Holy Living ( 1650 ), including abstaining from marrying " so long as she is with child by her former husband " and " within the year of mourning ".

Postmodern critical research is also characterized by what is called, the crisis of representation, which rejects the idea that a researcher ’ s work is considered an “ objective depiction of a stable other ” ( Lindlof & Taylor, 2002, p. 53 ).

As pointed out by Taylor, for example, it is sometimes convenient to work in a co-rotating frame, that is, one rotating with the object so that the angular rate of the frame,, equals the of the object in the stationary frame.

Today, Drew Barrymore is still one of the faces for CoverGirl, alongside Queen Latifah and Taylor Swift.

Atchison was sworn in for his new term as President pro tempore minutes before both Fillmore and Taylor, which might theoretically make him Acting President for at least that length of time ; however, this also implies that many times when the Vice President is sworn in before the President, the Vice President is the de facto Acting President.