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, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.

Thus it follows that the secants of **zg are all invariant.

Thus Af where the maximization is over all admissible policies Af, and Af is related to Af by ( 5 ).

Thus creativity may run all the way from making a cake, building a chicken coop, or producing a book, to founding a business, creating a League of Nations or, developing a mature character.

Thus all differences were leveled, and all contrasts erased, in a realm of no distinction, and the harmonious balance of the Lo Shu square could effectively symbolize the world in balanced harmony around a powerful central axis.

Thus we hear of abbots going out to hunt, with their men carrying bows and arrows ; keeping horses, dogs and huntsmen ; and special mention is made of an abbot of Leicester, c. 1360, who was the most skilled of all the nobility in hare hunting.

Thus Christ's atonement is intended for all, but requires faith to be effected.

Thus, almost all positive integers are composite ( not prime ), however there are still an infinite number of primes.

Thus she, through whom salvation was being prepared for all people, would be the first to receive the promised fruit of salvation.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus, in Steiner's view, we can overcome the subject-object divide through inner activity, even though all human experience begins by being conditioned by it.

Thus, anthroposophy considers there to be a being who unifies all religions, and who is not represented by any particular religious faith.

Thus a third style, the " curved lip " style was produced, and all official and third-party cartridges during the console's lifespan were released ( or re-released ) using this style.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus there are alignments in all directions which would suggest there is little of astronomical significance, However, ethnohistorical records show that the various directions do have cosmological and astronomical significance with various points in the landscape being significant at different times of the year.

Thus, current expected inflation reflects a weighted average of all past inflation, where the weights get smaller and smaller as we move further in the past.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

Thus the electrons stay paired together and resist all kicks, and the electron flow as a whole ( the current through the superconductor ) will not experience resistance.

By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.

Thus, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).

Thus, all carbon isotopes have nearly identical chemical properties because they all have six protons and six electrons, even though carbon atoms may differ in number of neutrons.

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, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.

Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

Thus two indices are used for a two dimensional array, three for a three dimensional array, and n for an n dimensional array.

Thus, three eclipse calculations may be evidence for the suggestion that Romulus reigned from 746 BC to 709 BC, and Rome was founded during 745 BC.

Thus, negotiation generally features only in games for three or more people.

Thus, an outdoors utility knife suited for camping or hunting might use a broad three to five-inch fixed blade, while a utility knife designed for the construction industry might feature a replaceable utility or razor blade for cutting packaging, cutting shingles, marking cut lines, or scraping paint.

Thus, for example, the English form is is an apparent cognate of German ist, Latin est and Russian < nowiki > jest '</ nowiki >, even though the Germanic, Italic, and Slavic language groups split at least three thousand years ago.

Thus, for example, there are three main isotopes of carbon.

Thus the overall ratios of the three coinages remained roughly equivalent.

Thus the first two games were played at Wrigley Field and the next three at the home of their opponents, San Diego.

Thus an equivalence relation over X, a partition of X, and a projection whose domain is X, are three equivalent ways of specifying the same thing.

Thus every proposition has three components: the two terms, and the " copula " that connects or separates them.

Thus as a result of the three Carnatic Wars, the British East India Company gained exclusive control over the entire Carnatic region of India.

Thus it happened that, with Hermes as their guide, the three candidates bathed in the spring of Ida, then confronted Paris on Mount Ida in the climactic moment that is the crux of the tale.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus, every MUMPS command or function name could be abbreviated from one to three letters in length, e. g. Quit ( exit program ) as Q, $ P

Thus the Arabic word ثلاثة ( three ) is transliterated ṯalāṯah.

Thus, for example, the term " glucose " may signify glucofuranose, glucopyranose, the open-chain form, or a mixture of the three.

Thus Antony, as Caesar's key adherent and one of the two men around whom power coalesced following his assassination, was one of the three men chiefly responsible for the fall of the Roman Republic.

Thus, a player who bids three and takes either two or four tricks will lose one point.

Thus a collection of two lines is a couplet ( or distich ), three lines a triplet ( or tercet ), four lines a quatrain, and so on.

Thus represents a sequence of three phonemes,, ( the word push in standard English ), while represents the phonetic sequence of sounds ( aspirated " p "),, ( the usual pronunciation of push ).