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

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus in 1285 he declared war on his uncle, James II of Majorca, and conquered both Majorca ( 1285 ) and Ibiza ( 1286 ), effectively reassuming suzerainty over the Kingdom of Majorca.

Thus, the Turun Sanomat Building first heralded Aalto's move towards modernism, and this was then carried forward both in the Paimio Sanatorium and in the on-going design for the library.

Thus he strongly opposed both United States aggression in Vietnam and Soviet military expansionism.

Thus, both the x and y-axes are asymptotes of the curve.

Thus united to them in the fellowship of life, he will both understand the things revealed to them by God and, thenceforth escaping the peril that threatens sinners in the judgment, will receive that which is laid up for the saints in the kingdom of heaven.

" Thus declaring that the burnt offering of both animals and humans ( which may have been practiced in Judah under Kings Ahaz and Manasseh ) is not necessary for God.

Thus the castrati came to supplant both boys ( whose voices broke after only a few years ) and falsettists ( whose voices were weaker and less reliable ) from the top line in such choirs.

Thus, for example, on the basis of superficial similarities one might suppose that the Latin verb habere and German haben, both meaning ' to have ', were cognates.

Thus, Leibniz ' argument is in esse, while Aquinas ' argument is both in fieri and in esse.

Thus, the name carries both an augmentative "- one " (" big ") and a diminutive "- cello " (" little ").

Thus, by 1939, both Church ( 1934 ) and Turing ( 1939 ), neither having knowledge of the other's efforts, had individually proposed that their " formal systems " should be definitions of " effective calculability "; neither framed their statements as theses.

Thus, for example, the same equation can be made to produce both a lyrical and melodic piece of music in the style of the mid-nineteenth century, and a fantastically dissonant cacophony more reminiscent of the avant-garde music of the 1950s and 1960s.

Thus, a ' square ' is a member of both the genus ' rectangle ' and the genus ' rhombus '.

Thus different departments need different views of the company's database, that both include the employees ' payments, possibly in a different level of detail ( and presented in different visual forms ).

Thus, while Pierre and the robot are both doing the same thing, only Pierre has the inner conscious experience.

" Thus, it is two-way, mutual submission of both husbands to wives and wives to husbands.

Thus, both Carson and Armstrong ultimately contributed significantly to the science and technology of radio.

Thus, any other number c that divides both a and b must also divide g. The greatest common divisor g of a and b is the unique ( positive ) common divisor of a and b that is divisible by any other common divisor c.

Thus, the term " maternal surname " means the patrilineal surname which one's mother inherited from either or both of her parents.

Thus the Federal Reserve has both private and public aspects.

Thus, if the rate of any pathway changes, both the excited state lifetime and the fluorescence quantum yield will be affected.

Thus, when Gregory was selected as a candidate for the bishopric of Constantinople, both Alexandria and Rome opposed him because of his Antiochene background.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.

Thus, we might provide limited assistance in such fields as education, essential transport, communications, and agricultural improvement despite the absence of acceptable country programs.

Thus, body forces are specified by vector fields which are assumed to be continuous over the entire volume of the body, i. e. acting on every point in it.

Thus it can be interpreted without any reference to the zero-point energy ( vacuum energy ) or virtual particles of quantum fields.

Thus a field is a particular type of skew field, and not all skew fields are fields.

Thus, before the Aswan High Dam was completed in 1971, the White Nile watered the Egyptian stretch of the river throughout the year, whereas the Blue Nile, carrying seasonal rain from Ethiopia, caused the Nile to overflow its banks and deposit a layer of fertile mud over adjacent fields.

Thus, a field due to any particular particle or time-varying electric or magnetic field contributes to the fields present in the same space due to other causes.

However, a second definition and usage has historically been in practice in many fields of computer science and information technology, which defines the prefix kilo when used with byte or bit units of data as 1024 ( 2 < sup > 10 </ sup >); this is due to the mathematical coincidence that Thus, in these fields 1 kilobyte is equal to 1 kibibyte, a new unit standardized as part of the binary prefixes to resolve the ambiguity.

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, for instance, forces that act on particles are frequently derived from fields ( electromagnetic or gravitational ), and particles generate fields by acting as sources.

Thus, the general notion of a statistical ensemble with nearest-neighbor interactions leads to Markov random fields, which again find broad applicability ; for example in Hopfield networks.

This happens because a magnetic field is produced by an electric current, J, which reverses sign under T. Thus, the motion of classical charged particles in electromagnetic fields is also time reversal invariant.

Thus early, therefore, we see the artist busy in all the various fields in which he was to labour.

Curly ( script ) letters are sometimes used to denote the set of infinitely-differentiable tensor fields on M. Thus,

for any p in M and smooth function f. Thus we can regard covector fields not just as sections of the cotangent bundle, but also linear mappings of vector fields into functions.

Thus this kind of multilinearity implicitly expresses the fact that we're really dealing with a pointwise-defined object, i. e. a tensor field, as opposed to a function which, even when evaluated at a single point, depends on all the values of vector fields and 1-forms simultaneously.

Thus, since Neolithic times, slash-and-burn techniques have been widely used for converting forests into crop fields and pasture.

Thus, for a given objective diameter, low f-ratios indicate wide fields of view.

Thus, for objects such as transmitting antennas, electrical or electronic equipment, dielectric materials, or where radiation is scattering from an object, the non-radiative ' near field ' components of electromagnetic fields dominate the EM field close to the object, while electromagnetic radiation or ' far field ' behaviors dominate at greater distances.

Thus, one has the important result that the space of vector fields over M, equipped with the Lie bracket, forms a Lie algebra.

Thus it is a chapter in a larger narrative that includes many ideas and fields, from the folk wisdom of thrift to a profusion of applied-science successors, including time and motion study, the Efficiency Movement ( which was the broader cultural echo of scientific management's impact on business managers specifically ), Fordism, operations management, operations research, industrial engineering, manufacturing engineering, logistics, business process management, business process reengineering, lean manufacturing, and Six Sigma.