Roots Quotes - page 17
Judiciary in India holds a place of pride in the country and outside. At present, there is a tendency in our country to defy law and authority. If this were continued, it would be a bad day for India and would cut at the very roots of our nascent democracy. The rule of law should be respected so that the basic structure of our democracy is maintained and further strengthened.
Lal Bahadur Shastri
The first way in which one notices that a sentiment structure is different from an erg is that the emotional (ergic goal) qualities which enter it are very diverse, whereas in an erg they are all of one quality, e. g., gregariousness, sex... The sentiment brings together attitudes, in fact, with several different ergic roots, but only one source of learning.
Raymond Cattell
I guess, like most foreigners, when you're away, you see your own culture being even more strange. But where I come from and my roots mean a lot. I miss my family and my friends. Something I've realized as I've been traveling is that it's more about the actual people than the actual place.
Alicia Vikander
If in two ellipses having a common major axis we take two such arcs that their chords are equal, and that also the sums of the radii vectores, drawn respectively from the foci to the extremities of these arcs, are equal to each other, then the sectors formed in each ellipse by the arc and the two radii vectores are to each other as the square roots of the parameters of the ellipses.
Johann Heinrich Lambert
The Sanscrit language, whatever be its antiquity, is of a wonderful structure; more perfect than the Greek, more copious than the Latin, and more exquisitely refined than either, yet bearing to both of them a stronger affinity, both in the roots of verbs and the forms of grammar, than could possibly have been produced by accident; so strong indeed, that no philologer could examine them all three, without believing them to have sprung from some common source, which, perhaps, no longer exists; there is a similar reason, though not quite so forcible, for supposing that both the Gothic and the Celtic, though blended with a very different idiom, had the same origin with the Sanscrit; and the old Persian might be added to the same family.
William Jones
Even this morning in my speech to the World Bank, I said it was important to undertake a study of the causes and the roots of the conflict in the Central African Republic. There are several factors. There is poverty, exclusion of communities and regions. Those who feel excluded react.
Catherine Samba-Panza
The Hindus saw clearly that if the arithmetic operations... were properly defined for negative numbers, these numbers could be employed to as good advantage as people had previously derived from positive numbers. ...To people to whom the word number had always meant positive whole numbers and positive fractions, the very idea that there could be other numbers came hard. For many centuries negative numbers were either rejected or treated as second-class citizens.
What was especially difficult for mathematicians to swallow was that negative numbers could be acceptable roots of equations.
Morris Kline
As for negative numbers... most mathematicians of the sixteenth and seventeenth centuries did not accept them... In the fifteenth century Nicolas Chuquet and, in the sixteenth, Stifel both spoke of negative numbers as absurd numbers. ...Descartes accepted them, in part. ...he had shown that, given an equation, one can obtain another whose roots are larger than the original one by any given quantity. Thus an equation with negative roots could be transformed into one with positive roots. Since we can turn false roots into real roots, Descartes was willing to accept negative numbers. Pascal regarded the subtraction of 4 from zero as utter nonsense.
Morris Kline
By 1700 all of the familiar members of the [number] system... were known. However, opposition to the newer types of numbers was expressed throughout the century. Typical are the objections of... Baron Francis Masères... in 1759 his Dissertation on the Use of the Negative Sign in Algebra... shows how to avoid negative numbers... and especially negative roots, by carefully segregating the types of quadratic equations so that those with negative roots are considered separately; and... the negative roots are to be rejected.
Morris Kline
It is a bourgeois feeling to overvalue the possession of representatives. In representation as in money there is power – power over others. Whoever places the purity and the greatness of our party above all else, for him representatives have value only in so far as they serve to give expression to the power and extent of Social Democracy. What do ten, what do a hundred representatives signify, when our escutcheon has lost its gloss through their acquisition? The value of a representative is small. But the value of the integrity of our party is immeasurable. In it rests our strength. As with the shorn hair, that signified his manhood's honor, the strength of s to flatter away our most precious jewel and the roots of our triumphal strength – the party purity, the party honor.
Wilhelm Liebknecht
The famous sixteenth-century algebraist Jerome Cardan called negative roots fictitious, and the founder of modern symbolic algebra, François Viète, discarded negative roots entirely. Descartes, called them false on the ground that they represented numbers less than nothing and so were meaningless.
Morris Kline
One of the first algebraists to accept negative numbers was... placed negative numbers on a par with positive numbers and gave both roots of a quadratic equation, even when both were negative. Both Girard and Harriot used the minus sign for the operation of subtraction and for negative numbers.
Morris Kline
When an equation...clearly leads to two negative or imaginary roots, [Diophantus] retraces his steps and shows by how by altering the equation, he can get a new one that has rational roots. ...Diophantus is a pure algebraist; and since algebra in his time did not recognize irrational, negative, and complex numbers, he rejected equations with such solutions.
Morris Kline
At a time in our history when the streets of the Nation's cities inspire fear and despair, rather than pride and hope, it is difficult to maintain objectivity and concern for our fellow citizens. But, the measure of a country's greatness is its ability to retain compassion in time of crisis. No nation in the recorded history of man has a greater tradition of revering justice and fair treatment for all its citizens in times of turmoil, confusion, and tension than ours. This is a country which stands tallest in troubled times, a country that clings to fundamental principles, cherishes its constitutional heritage, and rejects simple solutions that compromise the values that lie at the roots of our democratic system.
Thurgood Marshall
The grammar of Panini stands supreme among the grammars of the world, alike for its precision of statement, and for its thorough analysis of the roots of the language and of the formative principles of words. By employing an algebraic terminology, it attains a sharp succinctness unrivalled in brevity, but at times enigmatical. It arranges, in logical harmony, the whole phenomena which the Sanskrit language presents, and stands forth as one of the most splendid achievements of human invention and industry. So elaborate is the structure, that doubts have arisen whether its complex rules of formation and phonetic change, its polysyllabic derivatives, its ten conjugations with their multiform aorists and long array of tenses, could ever have been the spoken language of a people.
Pāṇini
Sanskrit is constructed like geometry and follows a rigorous logic. It is theoretically possible to explain the meaning of the words according to the combined sense of the relative letters, syllables and roots. Sanskrit has no meanings by connotations and consequently does not age. Panini's language is in no way different from that of Hindu scholars conferring in Sanskrit today.
Pāṇini
The Pāṇinian commentator Kātyāyana (c. 3rd–4th century BCE) knew of the coexistence of Middle Indic forms with earlier ones. There is a Pāṇinian rule that provides that verb bases listed in an appendix to the Aṣṭādhyāyī have the class name dhātu (verbal base, root). Kātyāyana discusses whether one could define verbal bases semantically and thereby possibly do without the verb list. He remarks that even if one defines a verbal base as denoting an action, the roots must be listed in order to preclude the possibility that constituents of terms such as āṇapayati/āṇavayati ‘commands' be assigned the class name in question; āṇapayati/āṇavayati is a Middle Indic counterpart of Sanskrit ājñāpayati.
Pāṇini
The foundations of the universal value of art are given to us now by psychology. This is the common base that enables us to sink its roots to the origins before man and to discover the primary myths of humanity. The artist must confront these myths and reduce them, by means of amorphous and confused materials, to clear images. Since these are atavistic forces that have their origins in the subconscious, the work of art takes on a magical significance.
Piero Manzoni
