These notions contrasted with Platonic notions of the human mind as an entity that pre-existed somewhere in the heavens, before being sent down to join a body on Earth ( see Plato's Phaedo and Apology, as well as others ).

These notions ( packing dimension, Hausdorff dimension, Minkowski – Bouligand dimension ) all give the same value for many shapes, but there are well documented exceptions.

These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively ( see English numerals ).

These notions refer more to the kind of polynomials one is generally working with than to individual polynomials ; for instance when working with univariate polynomials one does not exclude constant polynomials ( which may result, for instance, from the subtraction of non-constant polynomials ), although strictly speaking constant polynomials do not contain any variables at all.

These notions later took shape in the theory of wahdat ul-wujud ( the Unity of All Things ).

These notions would be enough to explain the origin and the nature of laws that we call revolutionary ...

These notions sharply contrasted with the previously held Platonic notions of the human mind as an entity that preexisted somewhere in the heavens, before being sent down to join a body here on Earth ( see Plato's Phaedo and Apology, as well as others ).

These notions are today denoted by potentially infinite and actually infinite, respectively.

These fabulous notions have stemmed from popular imagination regarding the ninja's mysterious status, as well as romantic ideas found in later Japanese art of the Edo period.

These notions are of course imprecise, but at least explain why the nilradical of a commutative ring is contained in the ring's Jacobson radical.

These notions were alien to Paris at that time, and as a result, his first recognition came not from other painters but from poets such as Blaise Cendrars and Guillaume Apollinaire.

These and other examples have led skeptics to believe that many of these terms are derived from notions that would have been contemporary in Dee and Kelley's time.

These rules rely on common sense to make notions such as " connected group " and " surround " precise.

These poets would often share themes that parallel Schopenhauer's aesthetics and notions of will, fatality and unconscious forces, and used themes of sex ( such as prostitutes ), the city, irrational phenomena ( delirium, dreams, narcotics, alcohol ), and sometimes a vaguely medieval setting.

These concepts do not generalize numbers but combine notions of functions and sets which are not yet formalized, breaking away from familiar mathematical objects.

These notions generalize the algebraic numbers and the transcendental numbers ( where the field extension is C / Q, C being the field of complex numbers and Q being the field of rational numbers ).

These two notions are generalized in different directions.

These new art forms pushed the limits of traditional notions of " art " and corresponded to the similar rapid changes that were taking place in human society, technology, and thought.

These notions have been drawn upon by Thomas Kuhn.

These two notions being granted, it can be said that statements of " ought " are measured by their prescriptive truth, just as statements of " is " are measured by their descriptive truth ; and the descriptive truth of an " is " judgment is defined by its correspondence to reality ( actual or in the mind ), while the prescriptive truth of an " ought " judgment is defined according to a more limited scope — its correspondence to right desire ( conceivable in the mind and able to be found in the rational appetite, but not in the more " actual " reality of things independent of the mind or rational appetite )

These characteristics correspond to Western notions of the religious life as practiced in monastic settings.

Among the sramanic traditions, Brahmacharya is the term used for the practice of self-imposed celibacy that is generally considered an essential prerequisite for spiritual practice. These characteristics correspond to Western notions of the religious life as practised in monastic settings but in the Brahma Kumaris and Prajapita Brahma Kumaris religion, it is practised by married couples and householders too, as a way of formalizing sexual behavior into a conscious, co-creative practice rather than merely an unconscious habit.

These were the ones Keith sought out -- the loners, the ones who killed for the joy of it, like himself.

These were the last words he ever uttered.

These two were going to be easy pickins.

These performances were being staged at historical monuments throughout Europe.

These were Oneida Indians.

These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.

These basic ideas concerning the nature of religion were, Adams believed, some of the major keys to the understanding of history and the movement of society.

These were his public academic activities, domi forisque, in the college and in the university.

These early experiments were evidently not altogether satisfying to Patchen.

These people were not talking much about it, but you, a foreigner, sensed their apprehension and disappointment.

These public efforts were rare because Mr. Rayburn normally did his counseling, persuading and educating long before an issue reached its test on the House floor.

These microfossils indicate the swamp was `` formed during the Lower Cretaceous period when dinosaurs were at their heyday and when the first flowering plants were just appearing.

These were heroes nine feet tall to him ''.

These little songs, however, were sweet nothings from the heart, tender memories of his childhood, little melodies that anyone could hum and that would make one want to weep.

These were the ships of His Majesty's Navy, herding the hulks of the East Indies merchants and the yachts and ketches of the loyalists.

These trumps were more touching than they were anything else, and seemed to imply that the nights were long, her children ungrateful, and her marriage bewilderingly threadbare.

These were selected carefully and included not only detailed clinical information but adequate pathology of value for research and educational purposes.

These amendments to the Vocational Rehabilitation Act were designed to help provide for more specialized rehabilitation facilities, for more sheltered and `` half-way '' workshops, for greater numbers of adequately trained personnel, for more comprehensive services to individuals ( particularly to the homebound and the blind ), and for other administrative improvements to increase the program's overall effectiveness.

These plans, like Du Pont's, contained provisions for passing the vote on Du Pont's General Motors shares on to the ultimate stockholders of Du Pont, Christiana, and Delaware, except that officers and directors of the three companies, their spouses, and other people living in their households, as well as other specified persons, were to be totally disenfranchised.

These curves were derived by an analysis of extensive skywave measurement data.

These were educated men, who, as Mr. Justice Holmes was fond of saying, formed their inductions out of experience under the burden of responsibility.

These boys acknowledged an introduction to anybody by gently pressing one of his hands in both of theirs, while they gazed, misty-eyed with care, into the eyes of the person they were meeting.