Thus, the experience of an apple is as close to the Apple concept that one can get.

Thus rta bears a resemblance to the ancient Chinese concept of tao and the Heraclitan, Stoic or Christian conceptions of the logos.

Thus, it is this semi-empirical formula for bond energy that underlies Pauling electronegativity concept.

Within the space of these tendencies there has developed a coherent critique of " orthodox Marxism " that includes not only a rejection of the concept of " the transition " but a reconceptualization of the process of transcending capitalism that has remarkable similarities to ( Peter ) Kropotkin's thinking on this subject ... Thus one of the earliest political tendencies within which this approach appeared after the Russian revolution of 1917 was that of " Council Communism " which saw the " workers councils " in Germany ( see Bavarian Soviet Republic ), or the soviets in Russia, as new organizational forms constructed by the people.

Thus for map projections we must introduce the concept of point scale, which is a function of position, and strive to keep its variation within narrow bounds.

Thus, under head of project Masakatsu, the concept development was turned into a competition between the Mazda design teams in Tokyo and California.

Thus followed the line of Lomonosov and the contributions of the Russian school became more frequent through his disciples, and in the nineteenth century we have great geographers as Vasily Dokuchaev who performed works of great importance as a " principle of comprehensive analysis of the territory " and " Russian Chernozem " latter being the most important where introduces the geographical concept of soil, as distinct from a simple geological strata, and thus founding a new geographic area of study: the Pedology.

Thus the concept of the " Romantic period " may be meaningless outside of Europe and European-influenced cultures.

Thus, Jevons anticipated a key feature of the RSA Algorithm for public key cryptography, although he certainly did not invent the concept of public key cryptography.

Thus, they claim, to conceive of a particular apple and its redness is not to conceive of applehood or redness-in-general, so they question the source of the concept.

Thus the predicate " is not satisfied " attributes something to the concept " is an Albanian philosopher ", and is thus a second-level predicate.

Thus, while there are short-term memory components to working memory models, the concept of short-term memory is distinct from these more hypothetical concepts.

Thus it was Pythagoras who gave the word " theory " the specific meaning which leads to the classical and modern concept of a distinction between theory as uninvolved, neutral thinking, and practice.

Thus, the hierarchies, and the concept involved with lexicographic files, do not apply here the same way they do for nouns and verbs.

Thus rationalizing the criticism that the Qur ' an would direct towards the main corpus of Jews ( and Christians ) for not accepting the concept of Qibla, particularly that of Kaaba.

Thus the concept of a random function is one example of a random element and hence is a generalization of the simpler idea of a random variable.

Thus we might also describe reduction as a process analogous to absorption, by which one theory ( or concept, or property, and so on ) is wholly subsumed under another.

Thus this concept has played a prominent role on the world stage and in world history.

Thus, E-Language is not itself a coherent concept, and Chomsky argues that such notions of language are not useful in the study of innate linguistic knowledge, i. e., competence, even though they may seem sensible and intuitive, and useful in other areas of study.

Thus, it seemed quite logical to promote the group as " Captain Beefheart and His Magic Band ", around the concept that Captain Beefheart had ' magic powers ' and, upon drinking a ' Pepsi ', could summon up " His Magic Band " to appear and perform behind him.

Thus the resulting nuclei become heavier and closer to the sought-after island of stability, a concept wherein some super-heavy atoms can be relatively stable.

Thus, the example of a definition of oak given above ( something that has catkins and grows from acorns ) is not completely useless, even if " acorn " and " catkin " are defined in terms of " oak ", in that it supplies additional concepts ( e. g., the concept of catkin ) in the definition.

Thus, the innermost purpose of the creation of all rational beings is their cognition of the existence of Allah and, hence, their conscious willingness to conform their own existence to whatever they may perceive of His will and plan: and it is this twofold concept of cognition and willingness that gives the deepest meaning to what the Quran describes as " worship ".

Thus the concept of Lebensraum was picked up and expanded by publicists of the day, including Karl Haushofer and General Friedrich von Bernhardi.

Thus given a set, a computable function has property F if and only if.

Thus an oracle machine with a noncomputable oracle will be able to compute sets that are not computable without an oracle.

Thus most functions from integers to integers are not computable.

The function f is computable, so there is a formula δ representing f in T. Thus for each formula θ, T proves

Thus every computable function must have a finite program that completely describes how the function is to be computed.

Thus a set is computably enumerable if and only if it is the domain of some computable function.

Thus holds for all e and n. Because the function i is computable, this shows.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.