It is also possible, but equally doubtful, that he actually shot down the hundreds of men with which his legend credits him.

Let me pass over the trip to Sante Fe with something of the same speed which made Mrs. Roebuck `` wonduh if the wahtahm speed limit '' ( 35 m.p.h. ) `` is still in ee-faket ''.

The place is inhabited by several hundred warlike women who are anachronisms of the Twentieth Century -- stone age amazons who live in an all-female, matriarchal society which is self-sufficient ''.

It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.

It took thirty of our women almost six moons to build this one, which is higher and stronger than the old one.

`` I'd like to know just which it is that those guys don't understand, the liquor or automobiles ''.

The woman eyed the youth with the avidity a coin collector might display toward a rare doubloon which is not yet in his collection.

It is these other differences between North and South -- other, that is, than those which concern discrimination or social welfare -- which I chiefly discuss herein.

It became the sole `` subject '' of `` international law '' ( a term which, it is pertinent to remember, was coined by Bentham ), a body of legal principle which by and large was made up of what Western nations could do in the world arena.

Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.

Recognizing that the Rule of Law is `` a dynamic concept which should be employed not only to safeguard the civil and political rights of the individual in a free society '', the Congress asserted that it also included the responsibility `` to establish social, economic, educational and cultural conditions under which his legitimate aspirations and dignity may be realized ''.

For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.

That is particularly true of sovereignty when it is applied to democratic societies, in which `` popular '' sovereignty is said to exist, and in federal nations, in which the jobs of government are split.

which is used to expand a plane wave as a sum of cylindrical waves, or to find the Fourier series of a tone-modulated FM signal.

which is just the Fourier transform of the probability density.

Often the Fourier transform is converted to the power spectrum, which is the magnitude of each frequency component squared.

Huygens ' principle when applied to an aperture simply says that the far-field diffraction pattern is the spatial Fourier transform of the aperture shape, and this is a direct by-product of using the parallel-rays approximation, which is identical to doing a plane wave decomposition of the aperture plane fields ( see Fourier optics ).

The terminology is further blurred by the ( now rare ) synonym finite Fourier transform for the DFT, which apparently predates the term " fast Fourier transform " ( Cooley et al., 1969 ) but has the same initialism.

* It completely describes the discrete-time Fourier transform ( DTFT ) of an N-periodic sequence, which comprises only discrete frequency components.

Arbitrary electromagnetic waves can always be expressed by Fourier analysis in terms of sinusoidal monochromatic waves, which in turn can each be classified into these regions of the EMR spectrum.

The filter response can also be completely characterized in the frequency domain by its transfer function, which is the Fourier transform of the impulse response h. Typical filter design goals are to realize a particular frequency response, that is, the magnitude of the transfer function ; the importance of the phase of the transfer function varies according to the application, inasmuch as the shape of a waveform can be distorted to a greater or lesser extent in the process of achieving a desired ( amplitude ) response in the frequency domain.

Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

* By the convolution theorem, Fourier transforms turn the complicated convolution operation into simple multiplication, which means that they provide an efficient way to compute convolution-based operations such as polynomial multiplication and multiplying large numbers.

The DFT can be computed using a fast Fourier transform ( FFT ) algorithm, which makes it a practical and important transformation on computers.

Fourier series can be conveniently studied in the context of Hilbert spaces, which provides a connection between harmonic analysis and functional analysis.

The core motivating idea are the various Fourier transforms, which can be generalized to a transform of functions defined on Hausdorff locally compact topological groups.

In 2007 an anonymous group called The Meritocracy Party published its first manifesto, to which they have now added more than two million words on the subject ( discussing Hegel, Rousseau, Charles Fourier, Henri de Saint-Simon and various other philosophers, scientists, reformers and revolutionaries ).

All of the results from geometrical optics can be recovered using the techniques of Fourier optics which apply many of the same mathematical and analytical techniques used in acoustic engineering and signal processing.

On the other hand Charles Fourier advocated phalansteres which were communities that respected individual desires ( including sexual preferences ), affinities and creativity and saw that work has to be made enjoyable for people.

Each frame has a unit block of sound, which are broken into basic sound waves and represented by numbers after Fourier Transform, can be statistically evaluated to set to which class of sounds it belongs to.

The transfer function can also be shown using the Fourier transform which is only a special case of the bilateral Laplace transform for the case where.

Its Fourier transform gives the shape of the sound wave in the time domain, which is a completely delocalized sine wave.

Similar diffraction patterns can be produced by scattering electrons or neutrons, which are likewise interpreted as a Fourier transform.

As derived below, the electron density within the crystal and the diffraction patterns are related by a simple mathematical method, the Fourier transform, which allows the density to be calculated relatively easily from the patterns.

The recorded series of two-dimensional diffraction patterns, each corresponding to a different crystal orientation, is converted into a three-dimensional model of the electron density ; the conversion uses the mathematical technique of Fourier transforms, which is explained below.

Their kind created an American culture superior to any in the world, an industrial and technological culture which penetrated Russia as it did almost every corner of the earth without a nickel from the Federal treasury or a single governmental specialist to contrive directives or program a series of consultations of interested agencies.

According to The Chicago Tribune News Service, State Atty. Gen. Stanley Mosk of California has devised a series of questions which the joiner might well ask about any organization seeking his money and his name: 1.

This is a radical change in attitude from the conditions which prevailed several years ago, when a series of bombings was directed against Negroes who were moving into previously all-white neighborhoods of Dallas.

Among some recent imports were seat covers for one series of dining room chairs on which were depicted salad plates overflowing with tomatoes and greens and another set on which a pineapple was worked in naturalistic color.

RCA Victor has an ambitious and useful project in a stereo series called `` Adventures In Music '', which is an instructional record library for elementary schools.

The second great dilemma has been the morality of nuclear testing, a dilemma which has suddenly become acute because of the present series of Soviet tests.

But I have compared its text with already published commentaries on the 1960 series of Godkin lectures at Harvard, from which the book was derived, and I can with confidence challenge the gist of C. P. Snow's incautious tale ''.

Below these particulars was a series of alpha-beta-gammas connected by arrows and crosses which denoted the lineage of the breed.

-- Although there was some variation in results which must be attributed either to trace impurities or to variation in wall effects, the photochemical exchange in the gas phase was sufficiently reproducible so that it seemed meaningful to compare the reaction rates in different series of reaction tubes for the purpose of obtaining information on the effect of chlorine concentration and of carbon tetrachloride concentration on the reaction rate.

Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

These two recollections form the frame around a series of experiences and sights which, to me at least, symbolize the extremes in the aesthetic as well as ethical conflict between materialism and humanism.

Instead, we became involved in a series of friendly, but overly formal, welcoming addresses to which we had no choice but to reply in kind.

It consists of a series of pipes and a pressure-measuring chamber which record the rise and fall of the water surface.

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 Leningrad Kirov Ballet, which opened a series of performances Friday night at the Opera House, is, I think, the finest `` classical '' ballet company I have ever seen, and the production of the Petipa-Tschaikowsky `` Sleeping Beauty '' with which it began the series is incomparably the finest I have ever had the pleasure of witnessing.

However, the wei books were also destroyed in a series of Orthodox Confucian purges which culminated in a final proscription in 605.