In addition to the relatively looser constraints on character and message at lower budgets, the nature of B production lent itself to the noir style for directly economic reasons: dim lighting not only saved on electrical costs but helped cloak cheap sets ( mist and smoke also served the cause ); night shooting was often compelled by hurried production schedules ; plots with obscure motivations and intriguingly elliptical transitions were sometimes the consequence of hastily written scripts, of which there was not always enough time or money to shoot every scene.

for some polynomials A ( x ) and B ( x ) over K. The existence of such a decomposition is a consequence of the fact that the polynomial ring over K is a principal ideal domain, so that

One consequence of this reasoning is that thermal equilibrium is a transitive relationship: If A is in thermal equilibrium with B and B is in thermal equilibrium with C, then A is in thermal equilibrium with C. Another consequence is that the equilibrium relationship is symmetric: If A is in thermal equilibrium with B, then B is in thermal equilibrium with A.

As a consequence of the Bologna process, recently many universities of applied sciences and few traditional universities in Germany have introduced LL. B.

If the base space B is path connected, it is a consequence of the definition that the fibers of two different points b < sub > 1 </ sub > and b < sub > 2 </ sub > in B are homotopy equivalent.

All of the proteins bind ATP, and, as a consequence, all of them carry the classical Walker A ( phosphate-binding loop or P-loop ) and Walker B ( Mg2 +- binding aspartic acid ) motifs.

As a consequence of the Zero Hour event, the original title was replaced by R. E. B. E. L. S.

Counterfactual conditionals may also be evaluated using the so-called Ramsey test: A > B holds if and only if the addition of A to the current body of knowledge has B as a consequence.

According to REBT, if a person's evaluative B, belief about the A, activating event is rigid, absolutistic and dysfunctional, the C, the emotional and behavioral consequence, is likely to be self-defeating and destructive.

Alternatively, if a person's evaluative B, belief is preferential, flexible and constructive, the C, the emotional and behavioral consequence is likely to be self-helping and constructive.

As a consequence B Company did not expect to meet any significant opposition.

The law of effect provided a framework for psychologist B. F. Skinner almost half a century later on the principles of operant conditioning, “ a learning process by which the effect, or consequence, of a response influences the future rate of production of that response .” Skinner would later use an updated version of Thorndike ’ s puzzle box, which has contributed immensely to our perception and understanding of the law of effect in modern society and how it relates to operant conditioning.

As a consequence Group B was canceled at the end of 1986 and Group A regulations became the standard for all cars until the advent of World Rally Cars in 1997.

A serious consequence of the liver damage caused by fascioliasis is that latent Clostridium novyi spores can be activated by the low oxygen conditions in the damaged tracts the parasite forms in the liver ; this can lead to " black disease ", caused by Clostridium novyi type B or immune-mediated haemolytic anaemia ( IMHA ) leading to haemoglobinuria caused by C. novyi type D.

As a consequence of the Weierstrass approximation theorem, one can show that the space C is separable: the polynomial functions are dense, and each polynomial function can be uniformly approximated by one with rational coefficients ; there are only countably many polynomials with rational coefficients.

As a consequence, if we had a polynomial time algorithm for C, we could solve all co-NP problems in polynomial time.

The Luther Blissett multiple name project first began in 1994 in Italy, no doubt a consequence of his link with A. C. Milan, and has since then been widely used by artists, underground reviews, poets, performers and squatters ' collectives in cities throughout Europe and South America.

As a consequence of the astounding losses, the Earth Federation and the Principality of Zeon signed the Antarctic Treaty on January 31 U. C.

In many languages ( such as C, which introduced this notation ), this is not a separate escape sequence, but an octal escape sequence with a single octal digit of 0 ; as a consequence, must not be followed by any of the digits through ; otherwise it is interpreted as the start of a longer octal escape sequence.

As a consequence of continuity, the comultiplication on C is coassociative.

The logical consequence of the political stand adopted by the Bund is the latter ’ s entry into the R. C. P on the same basis as the Bund ’ s membership of the R. S. D. L. P ..

As a consequence, the kernel of the Gelfand representation A → C < sub > 0 </ sub >( Φ < sub > A </ sub >) may be identified with the Jacobson radical of A.

As a consequence we have the general rule of thumb that the functor category D < sup > C </ sup > shares most of the " nice " properties of D:

As a consequence, a force, composed primarily of Cheyenne and Arapaho, gathered for an attack at Fort C. F. Smith on the Bighorn River in Montana while another, mostly Lakota, decided to attack Fort Phil Kearny, 90 miles southwest.

One consequence of Stalnaker's acceptance of the Uniqueness Assumption is that, if the law of excluded middle is true, then all instances of the formula ( A > C ) ∨ ( A > ¬ C ) are true.

When ocean water temperatures elevate 1 or 1. 5 degrees Celsius higher than 26 ° C ( 79 F ), the consequence could be catastrophic rains.

Worsbrough St Mary's C of E Primary School closed on 31 December 2007 as a consequence of falling pupil numbers.

In Colorado, coal fires have arisen as a consequence of fluctuations in the groundwater level, which can increase the temperature of the coal up to 300 ° C, enough to cause it to spontaneously ignite.

The ceramics used in SOFCs do not become electrically and ionically active until they reach very high temperature and as a consequence the stacks have to run at temperatures ranging from 500 to 1, 000 ° C.

Hans van Mierlo died on March 11, 2010 at the of age 78 .; he had been living with a transplanted liver since 2000 which was required after liver failure as a consequence of a hepatitis C contamination contracted from a blood transfusion in 1982.

at 5 K .< ref name = Mueller > The lattice distortion is presumably a consequence of strain induced by the magnetoelastic interactions as the magnetic moments aligned parallel within magnetic domains.

Since they derive from a strong acid but weak base, they are both at about pH = 5 ; as a consequence, the morphine salts are mixed with small amounts of NaOH to make them suitable for injection.

A consequence of the theorem is that the order of any element a of a finite group ( i. e. the smallest positive integer number k with a < sup > k </ sup > = e, where e is the identity element of the group ) divides the order of that group, since the order of a is equal to the order of the cyclic subgroup generated by a.

As a direct consequence, it follows that E ( s < sup > 2 </ sup >) = σ < sup > 2 </ sup >.

It can be shown as a consequence of the above properties that μ ( U ) > 0 for every non-empty open subset U. In particular, if G is compact then μ ( G ) is finite and positive, so we can uniquely specify a left Haar measure on G by adding the normalization condition μ ( G ) = 1.

Another consequence of the Buckingham π theorem of dimensional analysis is that the functional dependence between a certain number ( say, n ) of variables can be reduced by the number ( say, k ) of independent dimensions occurring in those variables to give a set of p = n − k independent, dimensionless quantities.

The transfer principle states that true first order statements about R are also valid in * R. For example, the commutative law of addition, x + y = y + x, holds for the hyperreals just as it does for the reals ; since R is a real closed field, so is * R. Since for all integers n, one also has for all hyperintegers H. The transfer principle for ultrapowers is a consequence of Łoś ' theorem of 1955.

Moreover, the fact that the polarization can only depend on the electric field at previous times ( i. e. χ ( Δt ) = 0 for Δt < 0 ), a consequence of causality, imposes Kramers – Kronig constraints on the susceptibility χ ( 0 ).

As a consequence of the Hahn – Banach theorem, J is norm-preserving ( i. e., || J ( x )|| = || x || ) and hence injective.

If N is a prime number, then the set of non-zero indices n = 1 ,..., N – 1 forms a group under multiplication modulo N. One consequence of the number theory of such groups is that there exists a generator of the group ( sometimes called a primitive root ), an integer g such that n = g < sup > q </ sup > ( mod N ) for any non-zero index n and for a unique q in 0 ,..., N – 2 ( forming a bijection from q to non-zero n ).

* Mass-energy equivalence that is a consequence of special relativity ( summarized by the famous equation E = mc < sup > 2 </ sup >);

A consequence of the theorem is that " genuinely different " entire functions cannot dominate each other, i. e. if f and g are entire, and | f | ≤ | g | everywhere, then f = α · g for some complex number α.

A simple consequence of the fluctuation theorem given above is that if we carry out an arbitrarily large ensemble of experiments from some initial time t = 0, and perform an ensemble average of time averages of the entropy production then an exact consequence of the FT is that the ensemble average cannot be negative for any value of the averaging time t:

* The Iwasawa decomposition G = KAN of a semisimple group G as the product of compact, abelian, and nilpotent subgroups generalises the way a square real matrix can be written as a product of an orthogonal matrix and an upper triangular matrix ( a consequence of Gram – Schmidt orthogonalization ).

The first equality is the definition of while the second is a consequence of the Majorana spinor condition θ < sup >*</ sup > = iγ < sub > 0 </ sub > Cθ.

In 1941, the peg to the French franc was replaced by a peg to the British pound of 8. 83125 Syrian pounds = 1 British pound, as a consequence of the occupation of Syria by British and Free French forces.

* Initial AC. D = CD. A and the consequence AA = A ( Byrne 1946 ).

This result holds for all lattices, because AA = A is an easy consequence of the absorption law, which holds for all lattices ;

An immediate consequence of this one-sided distributive law is that it is true that 0 ⋅ x =

A consequence of this is that if χ is a non-trivial irreducible character of G such that χ ( g ) = χ ( 1 ) for some g ≠ 1 then G contains a proper non-trivial normal subgroup ( the normal subgroup is the kernel of ρ ).

A simple consequence of the first two axioms, positive homogeneity and the triangle inequality, is p ( 0 ) = 0 and thus