Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

Since complex scalar fields admit two different kinds of annihilation operators, which are related by conjugation, such fields describe charged bosons.

Since the complex numbers can be multiplied giving another complex number, this identification provides a means to " multiply " vectors.

Since the corona has been photographated at high resolution in the X-rays by the satellite Skylab in 1973, and then later by Yohkoh and the other following space instruments, it has been seen that the structure of the corona is very various and complex: different zones have been immediately classified on the coronal disc

Since database structures are complex, in most cases, and especially for not-very-simple queries, the needed data for a query can be collected from a database by accessing it in different ways, through different data-structures, and in different orders.

Since database structures are complex, in most cases, and especially for not-very-simple queries, the needed data for a query can be collected from a database by accessing it in different ways, through different data-structures, and in different orders.

Since the fundamental group is a homotopy invariant, the theory of the winding number for the complex plane minus one point is the same as for the circle.

Since handling a firearm is a complex task, with possible fatal outcomes if done improperly, gun safety dictates that a firearm should never be handled while under the influence of alcohol or drugs, or legal prescription or over-the-counter drugs.

Since genomes are very complex, one research strategy is to reduce the number of genes in a genome to the bare minimum and still have the organism in question survive.

Since the 1960s rather complex mathematical models have been developed, facilitated by the availability of high speed computers.

Since one cannot logically consider these subjects to be both " at the same moment " and " away in time ", an exclusive choice has to be made that defines these two separate domains, B and C. Our reality or domain B is created by the complex, but consistent transformation of A by our biological and mental makeup.

Since the actual physical surface of the Earth is too complex for mathematical analysis two levels of abstraction are employed in the definition of these coordinates.

Since entries may have multiple ObjectClasses values, each entry has a complex of optional and mandatory attribute sets formed from the union of the object classes it represents.

Since language, as imagined by nativists, is unlearnably complex, subscribers to this theory argue that it must, therefore, be innate.

Since the complex algebra is responsible for the striking interference effect of quantum mechanics, phase of particles is therefore ultimately related to their quantum behavior.

Since the probability amplitudes of the states are represented with complex numbers, the phase between any two states is a meaningful parameter, which is a key difference between quantum computing and probabilistic classical computing.

Since the release of the band's self-titled debut album in March 1974, Rush has become known for its musicianship, complex compositions, and eclectic lyrical motifs drawing heavily on science fiction, fantasy, and philosophy.

Since the scientific revolution, the relationship of science to religion and spirituality has developed in complex ways.

Since wireframe renderings are relatively simple and fast to calculate, they are often used in cases where a high screen frame rate is needed ( for instance, when working with a particularly complex 3D model, or in real-time systems that model exterior phenomena ).

Since φ is a positive linear map whose range, the complex numbers C, is a commutative C *- algebra, φ is completely positive.

Since the propagation constant is a complex quantity we can write:

Since the time of the historian Edward Gibbon, the split between the Church of Rome and the Orthodox Church has been conveniently dated to 1054, though the reality is more complex.

Since the feminist movement of the 1980s, some writers and publishers have been using the feminine title suffixes-in ( singular ) and-innen ( plural ) to emphasize the inclusion of females ; but written with a capital ' I ', to indicate that males are not excluded.

Since distributive constructions apply an idea relevant to each individual in the group, rather than to the group as a whole, they are most often conceived of as singular, and a singular pronoun is used.

Since becoming a loanword in English, Taliban, besides a plural noun referring to the group, has also been used as a singular noun referring to an individual.

Since the merger into one singular category for color films in 1967, films set in modern times have won only twice, despite the majority of those nominated being contemporary.

Since Crisis on Infinite Earths created a new, singular universe with a new back-history, the Crisis event itself ( as told in the limited series ) is obviously not part of it.

Since the pronunciation of the initial vowel of this umu / imi class of Zulu noun, is unstressed, the singular Umuthi is sometimes heard as ' Muthi '.

Since at least the 15th century, " they " ( though, as with singular " you ", used with verbs conjugated in the plural, not the singular ), " them ", " themself ", " themselves ", and " their " have been used, in an increasingly accepted fashion, as singular pronouns.

Since Land is also the German word for a country, the term Bundesländer (" Federal States "; singular Bundesland ) is often used instead to avoid ambiguity.

Since v is non-zero, this means that the matrix I − A is singular ( non-invertible ), which in turn means that its determinant is 0.

Since He is one, singular, completely simple and unchangeable spiritual substance, He must be declared to be in reality and in essence, distinct from the world, supremely happy in Himself and from Himself, and inexpressibly loftier than anything besides Himself which either exists or can be imagined.

In the case that V is a non-singular algebraic curve and i = 1, H < sup > 1 </ sup > is a free Z < sub > l </ sub >- module of rank 2g, dual to the Tate module of the Jacobian variety of V, where g is the genus of V. Since the first Betti number of a Riemann surface of genus g is 2g, this is isomorphic to the usual singular cohomology with Z < sub > ℓ </ sub > coefficients for complex algebraic curves.

Since the number of homology theories has become large ( see: Category: Homology theory ), the terms Betti homology and Betti cohomology are sometimes applied ( particularly by authors writing on algebraic geometry ) to the singular theory, as giving rise to the Betti numbers of the most familiar spaces such as simplicial complexes and closed manifolds.

Since X and are obviously of the same rank ( one of the many advantages of singular value decomposition )

Since is singular, the column space is of lesser dimension.

Since 1999, Bulgaria has been divided into 28 provinces (, oblasti ; singular област, oblast ; also translated as " region ") which correspond approximately to the 28 districts ( okrugs ) that existed before 1987.

Since the early twentieth century, Bakongo ( singular M ’ Kongo or Mukongo ) as an ethnonym for all members of the Kikongo-speaking community has gained popularity.

Since stress fractures are caused by repeated trauma rather than singular events they are more likely to be caused by regular behavior than other types of injuries.

Since nobody lived on the island before 1765, the singular form for Maison could be attributed to the ruins of a habitation built by early Basque visitors and found by French explorers in 1663.

Since 1949 ( except 1990 – 1996 ), Slovakia has been divided into a number of kraje ( singular kraj ; usually translated as " Regions " with capital R ).

Since the rank of a matrix equals the number of nonzero singular values, we find that

Since Greek had no equivalent to the semitic letter shin, it was replaced with a σ sigma, and a masculine singular ending was added in the nominative case, in order to allow the name to be inflected for case ( nominative, accusative, etc.