The first thing to do is get her some money by a temporary but definite adjustment pending a final disposition of the case.

Her first day at work she was puzzled by an entry in the doctor's notes on an emergency case.

In the first case the fixed elements within each pencil are the multiple secant and the line joining the vertex, P, to the intersection of **zg and the plane of the pencil which does not lie on the multiple secant.

Continuing with the case in which **zg is a Af curve on a quadric Q, we first observe that the second regulus of Q consists precisely of the lines which join the two free intersections of **zg and the planes through any one of the multiple secants.

The rating scale of compulsivity was constructed by first perusing the interview records, categorizing all evidence related to compulsivity, then arranging a distribution of such information apart from the case records.

A recent case in point is Mitchell Canneries v. United States, in which a claim against the Government was transferred first from a corporation to a partnership, whose partners were former stockholders, and then to another corporation formed by the partners.

On the positivist theory, everything I sought to express by calling it evil in the first case is still present in the second.

In the only sense in which badness is involved at all, whatever was bad in the first case is still present in its entirety, since all that is expressed in either case is a state of feeling, and that feeling is still there.

It is obvious that the careful choice of photocathode which maximizes Af for a given input E ( in the case of the second stage, for the first phosphor screen emission ) is very important.

`` Of course, it could be because this is his first murder case.

When the husband drops the case and returns to his wife, both seem sorry they brought the matter up in the first place.

The second is the collateral appeal or post-conviction petition, in which the petitioner-appellant files the appeal in a court of first instance — usually the court that tried the case.

The first function is assumed, if the expression in the argument contains more characters or, than characters, and the second function is assumed in the opposite case.

) His first case was " The Affair at the Victory Ball ", which saw Poirot enter the high society and begin his career as a private detective.

The first case recorded of the partial exemption of an abbot from episcopal control is that of Faustus, abbot of Lerins, at the council of Arles, AD 456 ; but the exorbitant claims and exactions of bishops, to which this repugnance to episcopal control is to be traced, far more than to the arrogance of abbots, rendered it increasingly frequent, and, in the 6th century, the practice of exempting religious houses partly or altogether from episcopal control, and making them responsible to the pope alone, received an impulse from Pope Gregory the Great.

1000 and 1500 are regularly encountered as jury sizes and on at least one occasion, the first time a new kind of case was brought to court ( see graphē paranómōn ), all 6, 000 members of the jury pool were put onto the one case.

Sometimes, Roman numerals are still used for enumeration of lists ( as an alternative to alphabetical enumeration ), for sequential volumes, to differentiate monarchs or family members with the same first names, and ( in lower case ) to number pages in prefatory material in books.

This is a common fact about allomorphy: if the allomorphy conditions are ordered from most restrictive ( in this case, after an alveolar stop ) to least restrictive, then the first matching case usually " wins ".

When it was first adopted by the U. S. military, a Honeywell engineer sat in the back seat with bolt cutters to disconnect the autopilot in case of emergency.

The first assumption is that in the case where the background is opaque ( i. e. ), the over operator represents the convex combination of and:

Alzheimer is credited with identifying the first published case of " presenile dementia ", which Kraepelin would later identify as Alzheimer's disease.

In the first case two cracks can be initiated and in the second only one crack can propagate.

In the first case the line is an oblique asymptote of ƒ ( x ) when x tends to +∞, and in the second case the line is an oblique asymptote of ƒ ( x ) when x tends to −∞

A simple converse is that if u and v have continuous first partial derivatives and satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.

A more satisfying converse, which is much harder to prove, is the Looman – Menchoff theorem: if ƒ is continuous, u and v have first partial derivatives ( but not necessarily continuous ), and they satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.

This statement is equivalent to the first of the above-given definitions of the inverse, and it becomes equivalent to the second definition if Y coincides with the codomain of ƒ.

This statement is an obvious consequence of the deduction that for ƒ to be invertible it must be injective ( first definition of the inverse ) or bijective ( second definition ).

( 1 ) The orbits are ellipses, with focal points ƒ < sub > 1 </ sub > and ƒ < sub > 2 </ sub > for the first planet and ƒ < sub > 1 </ sub > and ƒ < sub > 3 </ sub > for the second planet.

* 1675 – Gottfried Leibniz demonstrates integral calculus for the first time to find the area under the graph of y = ƒ ( x ).

Given a function ƒ defined over the reals x, and its derivative ƒ < nowiki > '</ nowiki >, we begin with a first guess x < sub > 0 </ sub > for a root of the function f. Provided the function is reasonably well-behaved a better approximation x < sub > 1 </ sub > is

By the first isomorphism theorem, the image of A under ƒ is a substructure of B isomorphic to the quotient of A by this congruence.

The statement that ƒ can be reconstructed from ƒ ̂ is known as the Fourier integral theorem, and was first introduced in Fourier's Analytical Theory of Heat,, although what would be considered a proof by modern standards was not given until much later.

For, first observe that the map ƒ ( x ) = ax must be injective: ƒ ( x ) = ƒ ( y ) implies x = y:

More generally, a function is said to be of class C < sup > k </ sup > if the first k derivatives ƒ ′( x ), ƒ ″( x ), ..., ƒ < sup >( k )</ sup >( x ) all exist and are continuous.

Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.

The shapes of the first five atomic orbitals: 1s, 2s, 2p < sub > x </ sub >, 2p < sub > y </ sub >, and 2p < sub > z </ sub >.

For example, the parent function y = 1 / x has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote, and occupies either the 1st and 3rd or 2nd and 4th quadrant.

The final expression follows from the previous one by the symmetry of x and y in the first expression, and by comparison it follows that the sequence of binomial coefficients in the formula is symmetrical.

In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y ( x ) of Bessel's differential equation:

Bessel functions of the first kind, denoted as J < sub > α </ sub >( x ), are solutions of Bessel's differential equation that are finite at the origin ( x = 0 ) for integer α, and diverge as x approaches zero for negative non-integer α.

Plot of Bessel function of the first kind, J < sub > α </ sub >( x ), for integer orders α = 0, 1, 2.

Fairchild's effort, led by ex-Bell researcher Gil Amelio, was the first with commercial devices, and by 1974 had a linear 500-element device and a 2-D 100 x 100 pixel device.

Solving just for x < sub > 0 </ sub > requires solving a polynomial of degree 2n − 1, and solving just for γ requires solving a polynomial of degree n ( first for, then x < sub > 0 </ sub >).

The alternative crossbreeding programs initiated in 1940 by Dr. Antonio Teixeira Viana had the objective of obtaining first, crossbreeds 5 / 8 Charolais and 3 / 8 Zebu and second, 3 / 8 Charolais x 5 / 8 Zebu, to evaluate which of the two was the most successful.

Likewise, ( x, − y ) are the coordinates of its reflection across the first coordinate axis ( the X axis ).

The bifurcations of a hyperbolic fixed point x < sub > 0 </ sub > of a system family F < sub > μ </ sub > can be characterized by the eigenvalues of the first derivative of the system DF < sub > μ </ sub >( x < sub > 0 </ sub >) computed at the bifurcation point.