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 the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.

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 then, the standard set of languages included in Altaic has comprised Turkic, Mongolic, Tungusic, Korean, and Japanese.

Since one fluke always protrudes up from the set anchor, there is a great tendency of the rode to foul the anchor as the vessel swings due to wind or current shifts.

Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

Since a maximal ideal in A is closed, is a Banach algebra that is a field, and it follows from the Gelfand-Mazur theorem that there is a bijection between the set of all maximal ideals of A and the set Δ ( A ) of all nonzero homomorphisms from A to C. The set Δ ( A ) is called the " structure space " or " character space " of A, and its members " characters.

Since a set is determined completely by its elements, there can only be one empty set.

Since over the course of any single dance, individuals interact with not just their partners but everyone else in the set, contra dancing might be considered a group activity.

Since the Byzantine army was still holding on after this defeat the sultan thought it was time to set up his secret weapon, a huge mobile tower.

A set S is called countable if there exists an injective function f from S to the natural numbers Since there is an obvious bijection between and it makes no difference whether one considers 0 to be a natural number of not.

* Since the p-adic integers are homeomorphic to the Cantor set, they form a compact set.

Since Cartesian coordinates are unique and non-ambiguous, the points of a Cartesian plane can be identified with all possible pairs of real numbers ; that is with the Cartesian product, where is the set of all reals.

Since 1988, Danish defence budgets and security policy have been set by multi-year agreements supported by a wide parliamentary majority including government and opposition parties.

Since Minos controlled the land and sea routes, Daedalus set to work to fabricate wings for himself and his young son Icarus.

Since enzymes are selective for their substrates and speed up only a few reactions from among many possibilities, the set of enzymes made in a cell determines which metabolic pathways occur in that cell.

Since these properties are often used as reference values it is very common to quote them for a standardized set of environmental parameters, or standard conditions, which is typically a temperature of and a pressure of either or.

Since version 20, GNU Emacs has included a " Customize " facility which allows users to set common customization variables through a graphical interface.

Since the 1970s his music has enjoyed a modest revival which looks set to continue as it is rediscovered and re-evaluated.

Since 1995, Hungary has pegged the forint against a basket of currencies ( in which the U. S. dollar is 30 %), and the central rate against the basket is devalued at a preannounced rate, originally set at 0. 8 % per month, the Forint is now an entirely free-floating currency.

Since the late 1990s, the Jamaican government has set an agenda to push the development of technology in Jamaica.

Since his theatre was not licensed to produce drama, he asked several of the leading composers ( Lawes, Cooke, Locke, Coleman and Hudson ) to set sections of it to music.

Since Filmer's views essentially require that the Stuart family be uniquely descended from the patriarchs of the Bible, and since even in the late 17th century that was a difficult view to uphold, Locke attacked Filmer's views in his First Treatise on Government, freeing him to set out his own views in the Second Treatise on Civil Government.