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 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 were what prompted him to investigate the peasant uprisings in Hunan while the rest of the China's communists were in the cities and focused on the orthodox Marxist proletariat.

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 proposals would go far toward creating the economic atmosphere favoring growth of the individual, who, in turn, would help us to cope with runaway technology.

These proposals would reduce the amount of tax that DuPont stockholders might have to pay -- from an estimated 1.1 billion dollars under present law to as little as 192 million dollars.

These arrangements would have been impossible if the business community was truly interested in the welfare of its employes.

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 would be two human beings, whom God had chosen.

These would be his hardest years, she knew, and he missed his father desperately.

These three installment dates would be: October 26, January 26, and April 25 ( Providence ) and November 15, February 16 and May 15 ( Cranston ).

These are fluids which one would expect to be less viscoelastic or more Newtonian because of their lower molecular weight.

These droplets are distorted by the normal forces just as a balloon would be pulled or pressed out of shape in one's hands.

These schools are intended to provide the facilities and specialized curriculum that would not be possible for very small school districts.

These would be paid for out of general, not payroll, taxes.

These qualities alone, however, would not account for their success, and it took me a while to discover the crowning virtue that completes this company's collective personality.

These members would then unthaw the rest of the personnel.

These favours usually entail Poirot being supplied with cases that would interest him.

These early humans equated this soul with figures which would appear in dreams and visions.

These subunits would typically then again be divided into quarters, with each side being mile long, and being of a square mile in area, or 40 acres.

These pits were also used to steam foods by adding heated rocks or embers and then seaweed or corn husks ( or other coverings ) placed on top to steam fish and shellfish as well as vegetables ; potatoes would be added while still in-skin and corn while in-husk, this would later be referred to as a clambake by the colonists.

These songs were typically performed while adjusting the rigging, raising anchor, and other tasks where men would need to pull in rhythm.

These critics assert that people from the Third World see the anti-globalization movement as a threat to their jobs, wages, consuming options and livelihoods, and that a cessation or reversal of globalization would result in many people in poor countries being left in greater poverty.

These would once have been visible for many miles over the surrounding countryside, and no doubt once acted as a sea-mark for ships.

These elements, which formed the bulk of the population, were not averse to supporting a strong ruler who would protect them against the Arab aristocracy.

These cycles would have been of astrological and ritual significance as Venus was associated with Quetzalcoatl or Xolotl.

These decoys would appear as warheads to ABM, effectively requiring engagement of 50 times more targets than before and rendering defense even less effective.