A series of value w < sub > i </ sub > is then computed where

We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.

For a Gaussian beam propagating in free space, the spot size ( radius ) w ( z ) will be at a minimum value w < sub > 0 </ sub > at one place along the beam axis, known as the beam waist.

However, there does not in general exist a value w ' such that

Here y *( w ) denotes the value of the linear functional y * ( which is an element of the dual space of W ) when evaluated at the element w ∈ W. This scalar in turn is multiplied by x to give as the final result an element of the space V.

Consequently, substituting these functions into the consistent conditions on four distinct trials, u, v, w, and s shown above, they are able to obtain the following four equations concerning one and the same value λ:

and find the eigenvector ( x, y, z, w ) corresponding to the largest eigenvalue ( that value will be 1 if and only if Q is a pure rotation ).

are two vectors at p ∈ U, then the value of the metric applied to v and w is determined by the coefficients () by bilinearity:

Most pennies of Kings William I and II show a front-facing bust of the king on the obverse ( which was a departure from the Anglo-Saxon kings, who mostly used a sideways-facing bust ), surrounded by a legend, usually ( King William, or William King of the English — The P may have been a late usage of the letter wynn, a P-shaped rune which had the sound value of a " w ").

When N is an odd number, the peak value of the window is w < sub > M / 2 </ sub >

The maximum value of w ( t ) is w ( 0 ) = 1.

For example, using a 1 mm pencil line to draw alignments on an 1: 50, 000 Ordnance Survey map, a suitable value of w would be 50 m.

* Net present value of a net cash flow, R ( t ), is given by the one-form w ( t ) := ( 1 + i )< sup >− t </ sup > where i is the discount rate.

Usually, the x < sub > 0 </ sub > input is assigned the value + 1, which makes it a bias input with w < sub > k0 </ sub > = b < sub > k </ sub >.

* w < 32 bit value > write

id: w value: rgb ( 1, 0. 5, 0. 5 )

id: w value: rgb ( 0. 75, 0. 25, 0. 75 )

The style of life chosen by the beat generation, the rhythm and ritual they have adopted as uniquely their own, is designed to enhance the value of the sexual experience.

indeed, it is maintained that the sexual element in jazz, by freeing the listener of his inhibitions, can have therapeutic value.

As in experience one is seized by given entities and their interrelations and is forced to respond in value feelings to them, so one is similarly seized in the mimetic presentation of images.

Shakespeare's Shylock, too, is of dubious value in the modern world.

But what a super-Herculean task it is to winnow anything of value from the mud-beplastered arguments used so freely, particularly since such common use is made of cliches and stereotypes, in themselves declarations of intellectual bankruptcy.

In conformance with the maximization principle we affirm that Gentile-Jewish relations will be harmonious or inharmonious to the degree that one relation or the other is expected by the active participants to yield the greatest net advantage, taking all value outcomes and effects into consideration.

There is a second feature of the influences of literature, good literature, on emotional life which may have some special value for our time.

One of the most frequent views of the value of literature is the education of sensibility that it is thought to provide.

We find, in the first place, that the students overwhelmingly approve of higher education, positively evaluate the job their own institution is doing, do not accept most of the criticisms levelled against higher education in the public prints, and, on the whole, approve of the way their university deals with value-problems and value inculcation.

The religious quest is often intense and deep, and there are students on every campus who are seriously wrestling with the most profound questions of meaning and value.

He pontificates that `` one of the first signs of advancing civilization is the fall in the value of women in men's eyes ''.

Since Laos is of no more purely military value to Moscow itself than it is to Washington, this approach might be expected to head off Mr. Khrushchev for the moment.

This problem of fair and equitable assessment of value is a difficult one to solve in that the determination of fair valuation is dependent on local assessors, who in general are non-professional and part-time personnel taking an individualistic approach to the problem.

It has been estimated that the value of boats in Rhode Island waters is something in excess of fifty million dollars, excluding commercial boats.

It is known that at least five towns ( Barrington, Bristol, Narragansett, Newport and Westerly ) place some value on some boats for tax purposes.

In the case of taxpaying corporate stockholders, the measure would be the lesser of the fair market value of the shares or Du Pont's tax basis for them, which is approximately $2.09 per share.

I therefore believe it is realistic to assume a modest drop in the total value of home entertainment electronics to about $1.8 million, slightly below 1960, but above 1959.

Either model is a very good dollar value.

The real question that follows is -- how are those four years used and what is their value as training??

Some recreation features, such as scenic values and water interest, also have greater overall value than other interests.

Direct proportionality of the rate to the incident intensity has also been assumed in obtaining the value in the last column for the fourth sample of series 2, where the light intensity was reduced by use of a screen.

The velocity value used is also open to some question ; ;

At the same time that religion binds the individual helpfully to the supernatural and gives him cosmic peace and a sense of supreme fulfillment, it also has great therapeutic value for him.

The choice of the single member district was dictated to a certain extent by problems of communication and understanding in the more remote areas of the country, but it also served to minimize the national political value of the elections.

When a man invests a block of his years at a university without gaining the coveted promotion, not only is he faced with the problem of starting over but there is also a certain depreciation in the market value of his services.

I have also constantly engaged in scientific work and am fully aware of the value of opinions formed in science as well as in the religions in the world.

So, for example, the absolute value of 3 is 3, and the absolute value of – 3 is also 3.

For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces.

In states where a quantum mechanical particle is bound, it must be localized as a wave packet, and the existence of the packet and its minimum size implies a spread and minimal value in particle wavelength, and thus also momentum and energy.

Orbitals with the same value of n and also the same value of l are even more closely related, and are said to comprise a " subshell ".

As the speed of light in meters per second ( c < sub > 0 </ sub >) is fixed in the International System of Units, this measurement of the speed of light in AU / d ( c < sub > AU </ sub >) also determines the value of the astronomical unit in meters ( A ):

In a culture that set a high value on oratory and public performances of all kinds, in which the production of books was very labor-intensive, the majority of the population was illiterate, and where those with the leisure to enjoy literary works also had slaves to read for them, written texts were more likely to be seen as scripts for recitation than as vehicles of silent reflection.

Andronikos II was also plagued by economic difficulties and during his reign the value of the Byzantine hyperpyron depreciated precipitously while the state treasury accumulated less than one seventh the revenue ( in nominal coins ) that it had done previously.

If an alpha channel is used in an image, it is common to also multiply the color by the alpha value, to save on additional multiplications during compositing.

This alpha value also corresponds to the ratio of " SRC over DST " in Porter and Duff equations.

Tolstoy defined art ( and by no coincidence also characterized its value ) as the following: " Art is a human activity consisting in this, that one man consciously, by means of certain external signs, hands on to others feelings he has lived through, and that other people are infected by these feelings and also experience them.

* In statistics, spatial autocorrelation between sample locations also helps one estimate mean value uncertainties when sampling a heterogeneous population.

This value also indicates the meaning of a data element for a given object ( or record ) type.

In academic use, an arbitrage involves taking advantage of differences in price of a single asset or identical cash-flows ; in common use, it is also used to refer to differences between similar assets ( relative value or convergence trades ), as in merger arbitrage.

Number-cards count as their natural value ; the jack, queen, and king ( also known as " face cards " or " pictures ") count as 10 ; aces are valued as either 1 or 11 according to the player's choice.

When bearing off, a player may also move a lower die roll before the higher even if that means ' the full value of the higher die ' is not fully utilized.