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Page "Recurrence relation" ¶ 78
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which and is
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 and characteristic
Mimesis is the nearest possible thing to the actual re-living of experience, in which the imagining person recovers through images something of the force and depth characteristic of experience itself.
The second involves something deeper, but its characteristic form focuses on a shift in policy for the community, not in the truth on which the community rests.
Again, Henley's attitude of defiance which colors his ideal of self-mastery is far from characteristic of a Stoic thinker like Marcus Aurelius, whose gentle acquiescence is almost Christian, comparable to the patience expressed in Milton's sonnet on his own blindness.
The three volumes brought to the fore a characteristic of Trevelyan's prose which remained conspicuous through his later works -- a genius for describing military action with clarity and with authority.
Since the writer had not noticed this characteristic in married students scattered throughout the various sections previous to this experiment, nor, as a matter of fact, in those who were continuing in `` single sections '', he can only conclude that there must have been something `` contagious '' within the specific group which caused this to occur.
It is no coincidence that the hebephrenic patient, the most severely dedifferentiated of all schizophrenic patients, shows, as one of his characteristic symptoms, laughter -- laughter which now makes one feel scorned or hated, which now makes one feel like weeping, or which now gives one a glimpse of the bleak and empty expanse of man's despair ; ;
Recently, for example, a paranoid woman's large-scale philosophizing, in the session, about the intrusive curiosity which has become, in her opinion, a deplorable characteristic of mid-twentieth-century human culture, developed itself, before the end of the session, into a suspicion that I was surreptitiously peeking at her partially exposed breast, as indeed I was.
In a society dominated by middle-class values and working in an institution which transmits and strengthens these social values, it is clear that the educational profession must work for the values which are characteristic of the society.
If one characteristic distinguishes Boris Godunov, it is the consistency with which every person on the stage -- including the chorus -- comes alive in the music.
Gyrocompass alignment is an automatic heading system which depends upon the characteristic of one gyro to establish true heading.
Therefore employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.
The subfamily can be easily recognized by its characteristic smell ( the smell of garlic and onions, singular enough to be called " garlic odour "), by the very soft, fleshy leaves and the umbel-like inflorescence at the end of a stem ( scape ), which has small to medium flowers with a superior ovary.
Several other oxidation states are known, which range from + 2 to + 7 and can be identified by their characteristic optical absorption spectra.
As such Anglicanism was, from the outset, a movement with an explicitly episcopal polity, a characteristic which has been vital in maintaining the unity of the Communion by conveying the episcopate's role in manifesting visible catholicity and ecumenism.
Incantations by mystic names were characteristic of the hybrid Gnosticism planted in Spain and southern Gaul at the end of the fourth century and at the beginning of the fifth, which Jerome connects with Basilides, and which ( according to his Epist., lxxv.
His industry in every department was great, and though we find in his system many gaps which are characteristic of scholastic philosophy, his protracted study of Aristotle gave him a great power of systematic thought and exposition.
Unlike his translation of the Pastoral Care, Alfred here deals very freely with his original and though the late Dr. G. Schepss showed that many of the additions to the text are to be traced not to Alfred himself, but to the glosses and commentaries which he used, still there is much in the work which is solely Alfred's and highly characteristic of his style.
Such forms as whom, them, and her derive rather from the old Germanic dative forms, of which the-m and-r endings are characteristic.
One characteristic of the city is its painted gables, for which Aarau is sometimes called the " City of beautiful Gables ".
The northern and western sides consist of stony but fertile plains, which are well cultivated and produce luxuriant crops of grain, with some cotton, vines, almonds, olives and figs, but the most characteristic crop of Aegina today ( 2000s ) is pistachio.

which and equation
It is a number without which the equation cannot be solved correctly.
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.
Thomas also presents a simple equation for deriving an index of persistence, which weights not only the number of stems ( ' roots ' ) per meaning, but their relative frequency.
This is the principle which we will invoke in every case to set up a functional equation.
Three of the four persons present, all foreign students in Tokyo, had been playing a game of judging popular Japanese foods by the In and Out system, an equation in which Zen philosophy was used as the modifier.
The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.
Atomic orbitals can be the hydrogen-like " orbitals " which are exact solutions to the Schrödinger equation for a hydrogen-like " atom " ( i. e., an atom with one electron ).
The equation on the left is the Bessel equation which has the general solution
Fermat always started with an algebraic equation and then described the geometric curve which satisfied it, while Descartes starts with geometric curves and produces their equations as one of several properties of the curves.
Therefore the ion speed can be computed with the following equation, which relates kinetic energy to energy gain due to the electric field.
There are two parts to Einstein's theory: the first part consists in the formulation of a diffusion equation for Brownian particles, in which the diffusion coefficient is related to the mean squared displacement of a Brownian particle, while the second part consists in relating the diffusion coefficient to measurable physical quantities.
where A < sub > α </ sub > and B < sub > α </ sub > are any two solutions of Bessel's equation, and C < sub > α </ sub > is a constant independent of x ( which depends on α and on the particular Bessel functions considered ).
It can be symbolically depicted through a chemical equation, which usually involves atoms as subjects.
The effect on cosmology of the dark energy that these models describe is given by the dark energy's equation of state, which varies depending upon the theory.
For example, most ab initio calculations make the Born – Oppenheimer approximation, which greatly simplifies the underlying Schrödinger equation by assuming that the nuclei remain in place during the calculation.
The total energy is determined by approximate solutions of the time-dependent Schrödinger equation, usually with no relativistic terms included, and by making use of the Born – Oppenheimer approximation, which allows for the separation of electronic and nuclear motions, thereby simplifying the Schrödinger equation.
* ( Purely analytic proof of the theorem that between any two values which give results of opposite sign, there lies at least one real root of the equation ).
This problem leads to an equation of the eighth degree, of which one solution, the Earth's orbit, is known.
The speed at which they drift can be calculated from the equation:
Solving the hydrostatic equation then leads to a model white dwarf which is a polytrope of index 3 / 2 and therefore has radius inversely proportional to the cube root of its mass, and volume inversely proportional to its mass.
Stoner went on to derive the pressure-density equation of state, which he published in 1932.
This engine, designed by Saab Automobile, uses a technique that dynamically alters the volume of the combustion chamber ( V < sub > c </ sub >), which, via the above equation, changes the compression ratio ( CR ).

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