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Page "Pañcaratra" ¶ 37
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Thus and order
Thus with regard to the loss of tradition, in the change from order to disorder the metaphysics of change works itself out as a disruption of the individual soul, a change in which man continues as an objective ontological existent, but no longer as a man.
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 a number of operations of the order of Af are required.
Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.
The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:
Thus, a court officer taking possession of goods under a court order may use force if reasonably necessary.
“ Acts, then is a continuation of the Lucan Gospel, not in the sense that it relates what Jesus continued to do, but how his followers carried out his commission under the guidance of his Spirit .” Thus, part of the answer to the purpose of Acts is that Luke is writing to Theophilus, who is also mentioned in Luke 1: 3, in order to explain to him the occurrences that take place in the church that fulfill Jesus ’ promise to his disciples that “ you will be baptized with, the Holy Spirit not many days from now ” ( Acts 1: 5 ).
Thus, this notion, which remained relevant throughout Chinese history, reflects the order of nature.
Thus, and in order to provide a clear line of succession and avoid dynastic uncertainty, he arranged for his nephew, King Louis I of Hungary, to be his successor in Poland.
Thus, when ClearType sacrifices color accuracy in order to increase luminance detail, the overall effect — as seen by human eyes — should be an improvement for most people.
Thus, a triad is formed of the intelligible nous, the intellective nous, and the psyche in order to reconcile further the various Hellenistic philosophical schools of Aristotle's actus and potentia of the unmoved mover and Plato's Demiurge.
Thus traditional exegesis supposes that after his release Paul sailed from Rome into Asia, passing Crete by the way, and that there he left Titus " to set in order the things that were wanting.
Thus, a non-intuitive ( e. g., a higher-energy for at least one species ) distribution of electrons in the combination of iron and oxygen must exist, in order to explain the observed diamagnetism and no unpaired electrons.
Thus, he cautiously states: " But knowing the sure number declared by Scripture, that is six hundred sixty and six, let them await, in the first place, the division of the kingdom into ten ; then, in the next place, when these kings are reigning, and beginning to set their affairs in order, and advance their kingdom, them learn to acknowledge that he who shall come claiming the kingdom for himself, and shall terrify those men of whom we have been speaking, have a name containing the aforesaid number, is truly the abomination of desolation.
Thus circumscribed, this order consists mostly of herbaceous plants, but lianas and shrubs occur.
Thus, the molecules are free to flow and their center of mass positions are randomly distributed as in a liquid, but still maintain their long-range directional order.
Thus in some case greater positional order will be entropically favorable.
Thus, the method resolution order is:,,,.
Thus, competing browsers began to emulate (" cloak " or " spoof ") this string in order to also work with those sites.
Thus 4, 000, 000, which has a logarithm ( in base 10 ) of 6. 602, has 7 as its nearest order of magnitude, because " nearest " implies rounding rather than truncation.
Thus, 10 morsels of bread smaller than the size of an olive are traditionally hidden throughout the house in order to ensure that some chametz will be found.
Thus, in the story " Ivory, and Apes, and Peacocks ", the Time Patrol's resident agents in the Tyre of King Hiram are a twentieth century Israeli couple, who express their wish to help the ancient Tyrians " in order to compensate a bit for what our country is going to do here.
Thus, people cannot see or otherwise come into sensory contact with universals, but in order to conceive of universals, one must be able to conceive of these abstract forms.
Thus it is important to be able to see the topic from different angles in order to anticipate the reaction others have to a proposal.

Thus and limbs
Thus the limbs of the castrati often grew unusually long, as did the bones of their ribs.
Thus the court held that practices such as sleep deprivation, subjecting individual to intense noise and requiring them to stand against a wall with their limbs outstretched for extended periods of time, did not constitute torture.
Thus, any gait can completely be described in terms of the beginning and end of stance phase of three limbs relative to a cycle of a reference limb, usually the left hindlimb.
Thus, by combinatorial specifying the identity of particular body regions, Hox genes determine where limbs and other body segments will grow in a developing embryo or larva.
Thus, the eight " limbs " are the means to samadhi, and samadhi is the means to the end which is Kaivalya.
Thus, Jagannath, Balabhadra, and Subhadra are still represented with incomplete limbs.

Thus and given
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 multiplicity of Af for a given T must be an even number.
Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.
Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.
Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.
Thus, the efficiency **yt couplers is given by -- Af or approximately 50 percent each.
Thus, the planetary model of the atom was discarded in favor of one that described atomic orbital zones around the nucleus where a given electron is most likely to be observed.
Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.
Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.
Thus the discovery report by the Berkeley group reads: " It is suggested that element 97 be given the name berkelium ( symbol Bk ) after the city of Berkeley in a manner similar to that used in naming its chemical homologue terbium ( atomic number 65 ) whose name was derived from the town of Ytterby, Sweden, where the rare earth minerals were first found.
Thus, the vector space B ( X, Y ) can be given the operator norm
Thus, in time, the bishop changed from being the leader of a single church confined to an urban area to being the leader of the churches of a given geographical area.
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, at a given angular rate of rotation, a concave surface represents the stable situation, and the more rapid the rotation, the more concave this surface.
Thus, by monitoring eye movements, we can study what information is being processed at a given time.
Thus, the total applied torque about the origin is given by
Thus, the sum of all applied forces and torques ( with respect to the origin of the coordinate system ) in the body can be given by
Thus a person who owns a quarter of the shares of a joint-stock company owns a quarter of the company, is entitled to a quarter of the profit ( or at least a quarter of the profit given to shareholders as dividends ) and has a quarter of the votes capable of being cast at general meetings.
Thus, the law of " interpenetrating opposites " records the inextricable interdependence of components: the " transformation of quantity to quality " defends a systems-based view of change that translates incremental inputs into alterations of state ; and the " negation of negation " describes the direction given to history because complex systems cannot revert exactly to previous states.
Thus, churches actually had money-changing tables at which each coin would be examined separately and a token of actual worth given to the layperson so that he or she could be seen by the other parishioners as putting money in the basket during that part of the service.
Thus a lion, when presented in a given context in medieval literature, could only be interpreted in a single, approved way.
This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.
Thus, contrary to the first impression its name might convey, and as realized in specific approaches and disciplines ( e. g. Fuzzy Sets and Systems ), intuitionist mathematics is more rigorous than conventionally founded mathematics, where, ironically, the foundational elements which Intuitionism attempts to construct / refute / refound are taken as intuitively given.
Thus, " the Law " is understood to be the religious teachings and rules given by God.
Thus, we should amend the expression given above into: Metallic bonding is an extremely delocalized communal form of electron deficient covalent bonding.

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