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 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 quadratic form is a scalar, so is its expectation.

Since the curl of the electric field is zero, it is defined by a scalar electric potential field, ( see Helmholtz decomposition ).

Since GCC 3, GCC can automatically generate SSE / SSE2 scalar code when the target supports those instructions.

Since a polynomial from K can be multiplied by a " scalar " k from K to yield a new polynomial, K actually constitute an associative algebra over K. Viewed as a vector space, K has a basis consisting of the countably infinite set

Since this is only the time derivative of volume, a scalar quantity, the volumetric flow rate is also a scalar quantity.

Since the curl of v is zero, it follows that v can be expressed as the gradient of a scalar potential ( see irrotational field ) φ:

Since fermion masses are logarithmically divergent, scalar masses inherit the same radiative stability.

Since all elements of the parameter vector have the same value, the distribution alternatively can be parametrized by a single scalar value, called the concentration parameter.

Since the pressure p in this computation is an arbitrary scalar field, we may abstract it and write the substantive derivative operator as

Since there are no currents in this problem except for possible bound currents on the boundaries of the diamagnetic material, then we can define a magnetic scalar potential that satisfies Laplace's equation:

Since the late 1950s, the lightest scalar mesons were often interpreted within the framework of the linear sigma model, and many theorists still choose this interpretation of the scalar mesons as the chiral partners of the pseudoscalar meson multiplet.

Since the curl is zero, that means there is a scalar function such that.

Since condensates are scalar, it seems like a good first approximation that the vacuum contains some non-zero but homogeneous field which gives rise to these condensates.

Since mass is a scalar quantity, the mass flow rate ( the time derivative of mass ) is also a scalar quantity.

Since the introduction of SSE2, the x87 instructions are not as essential as they once were, but remain important as a scalar unit for numerical calculations sensitive to round-off error and requiring the 64-bit mantissa precision available in the 80-bit format.

Since the Second World War, both theoretical and experimental fields have advanced at a rapid pace.

Since the late 1980s, the field has been revived in the wake of progress made in the related fields of psycholinguistics, neurolinguistics, evolutionary anthropology, evolutionary psychology, and cognitive science.

Since light is an oscillation it is not affected by travelling through static electric or magnetic fields in a linear medium such as a vacuum.

Since most Modern Orthodox women attend college, and many receive advanced degrees in a variety of fields, Modern Orthodoxy generally believes that their Jewish education should equal their secular education.

Since many materials can form crystals — such as salts, metals, minerals, semiconductors, as well as various inorganic, organic and biological molecules — X-ray crystallography has been fundamental in the development of many scientific fields.

Since both fields use both functions, a compromise has been suggested, using A to denote the Helmholtz function and G for the Gibbs function.

Since the shields are not perfect conductors, electric fields can exist inside the shield, thus allowing radiating electromagnetic fields to go through the shield.

Since the 1960s Kripke has been a central figure in a number of fields related to mathematical logic, philosophy of language, philosophy of mathematics, metaphysics, epistemology, and set theory.

Since crude oil | oil fields are located only at certain places on earth, only a select group of countries are oil-independent, the other countries are dependent on the oil production capacities of these countries

Since only the microscopic fields E and B are needed in the derivation of

Since the victory over France provided the Kriegsmarine with the better placed French ports on the Atlantic and the iron fields of Lorraine, Weserübung proved to be unnecessary.

Since the response of materials to alternating fields is characterized by a complex permittivity, it is natural to separate its real and imaginary parts, which is done by convention in the following way:

Since nematodes have such a seemingly erratic distribution in cassava agricultural fields, it is not easy to clearly define the level of direct damage attributed to nematodes and thereafter quantify the success of a chosen management method.

Since then, they have also been adopted by other curriculum fields such as reading.

Since then, the profession has evolved to solve increasingly difficult situations, as much of the " low hanging fruit " of the world's oil fields have been found and depleted.

Since there is insufficient sunlight on northward-facing slopes and the lands in shadow are too cold for most crops, some southward-facing fields high in the mountains must be used even though they

Since the beginning, both countries have enjoyed strong ties and beneficial bilateral cooperation in many fields, most notably in agriculture and education.

Since the establishment of diplomatic relations, the two countries have frequently conducted reciprocal visits at various levels, and have strengthened ties in such fields as business, education, culture, technological cooperation and agriculture.

Since its recognized independence in 1948, the United Kingdom and Israel have shared cordial and strongly strategic relations ; the two nations share interests in the fields of political cooperation, immigration ( seeing as many British Jews migrate to Israel ) and economic trade.

Since buttons and fields could also exist on the background layer, but their content would differ between cards, there were s, s etc.

Since 2001, the Canadian Engineering Accreditation Board has accredited several university programs in software engineering, allowing graduates to apply for a professional engineering licence once the other prerequisites are obtained, although this does nothing to help IT professionals using the title with degrees in other fields ( such as computer science ).

Since this new field concerns abstract rules, it can in principle address issues relevant to other fields of science.