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 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 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 narratives of coarse action and crude language appeared first in local newspapers, as a rule, and later found their way between book covers, though rarely into the planters' libraries beside the morocco-bound volumes of Horace, Mr. Addison, Mr. Pope, and Sir Walter Scott.

These will be drilled and tapped later on.

These glyphs were used as pronunciation guides for logograms, to write grammatical inflections, and, later, to transcribe loan words and foreign names.

These were commonly referred to as " Arians " due to their rejection of the Trinity, though in fact the Socinians, as they were later known, went further than Arius to the position of Photinus.

These early human cultures later interpreted these spirits to be present in animals, the living plant world, and even in natural objects in a form of animism.

These were all defeated, by an opposition that included a fellow Tennessean, Isham G. Harris, who later became a bitter enemy.

These drugs were later renamed antibiotics by Selman Waksman, an American microbiologist, in 1942.

These creations and writings were an apprenticeship for their later, literary talents.

In the center of the helmet was a center black stripe surrounded by 2 gold stripes and 2 white stripes, These colors represented the two college rival schools in the state of Georgia ; rival schools Georgia Tech Yellow Jackets ( White and Gold ) and the Georgia Bulldogs ( Red and Black ) Although the gold was later taken out, the white remains to this day.

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 orchestral works are mainly in the galant style and though they show some development toward the late classical they reflect a general weakness in comparison to his operatic works of the same and later periods.

These later poems, mostly written before 1910, show a greater variety of subject and form than those in A Shropshire Lad but lack the consistency of his previously published work.

These considerations would seem to make it likely that he was born no earlier than 296 and no later than 298.

These statements were later collected into the book of Sayings of the Desert Fathers.

These included Galacticomm's MajorBBS ( later WorldGroup ), eSoft TBBS, and Falken.

These were later followed by two Alouette III SA. 316 B helicopters, used mostly for liaison purposes, one twin-engined Aero Commander 500 light utility aircraft, two Hawker-Siddeley HS. 748-2A twin turboprop transport aircraft, and two Nord 262 twin turboprop transport aircraft.

These three categories provide the most compelling evidence that the scribe was generally attentive to his work while he was copying, and that he later subjected his work to careful proofreading.

These can later be gradually released for excretion.

These have sometimes been identified as another, separate work, the Ezra Memorial ( EM ), but other scholars believe the EM to be fictional and heavily altered by later editors.

* A later promise ( 2: 12 – 13 ): These verses assume that judgement has already fallen and Israel is already scattered abroad.

These were followed by groups of infantry ( dismounted cavalry ) commanded, respectively, by the Dauphin ( later Charles V of France ), the Duke of Orléans and King Jean.

These microcomputers were later manufactured in Kunming, China for use in China under agreement with Burroughs.

These later sheets could include many individual songs, which would be cut apart and sold individually as " slipsongs.

These findings help explain the categories used in Holdridge ’ s bioclassification scheme, which were then later simplified in Whittaker ’ s.

These numbers are highly comparable to the number of troops Herodotus says that the Athenians and Plataeans sent to the Battle of Plataea 11 years later.