As a consequence, the only way for a user-mode web server to match kernel-mode performance is to raise the quality of its code to much higher standards, similar to that of the code used in web servers that run in the kernel.

An important consequence is that the kernel of D is finite-dimensional, because all eigenspaces of compact operators, other than the kernel, are finite-dimensional.

Originally, process ID 1 was not specifically reserved for init by any technical measures: it simply had this ID as a natural consequence of being the first process invoked by the kernel.

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 ).

One consequence is that udev moved the naming policy out of the kernel and can run arbitrary programs to compose a name for the device from the device's properties, before the node is created.

As a consequence, in particular, in the system of coordinates given by the polar representation, the equations then take the form

This is a consequence of the fact that the recurring part of a decimal representation is, in fact, an infinite geometric series which will sum to a rational number.

The property of spin relates to another basic property concerning systems of N identical particles: Pauli's exclusion principle, which is a consequence of the following permutation behaviour of an N-particle wave function ; again in the position representation one must postulate that for the transposition of any two of the N particles one always should have

Systemic grammars draw on system networks as their primary representation tool as a consequence.

equivalence of these constructions are a consequence of the uniqueness of the spinor representation of the complex Clifford algebra.

As a consequence of these cuts, the Requirements division ( formerly the Circulating Sections of the 1921 Arrangement ) were deprived of any representation on the Board of Directors.

A consequence of the change from single-Councillor to multi-Councillor wards was a change in election method from preferential voting to proportional representation.

A consequence of this representation is that there are two ways to represent zero, 00000000 ( 0 ) and 10000000 (− 0 ).

In Macau, from 1989 to 1999, Taiwan was represented by the ' Taipei Trade and Tourism Office ', Taiwan's first-time representation in Macau after Kuomintang's expulsion from Macau as the consequence of the December 3rd Incident in 1966.

Here the fact that in the limit a faithful representation of G is found is another consequence of the Peter – Weyl theorem,

The electoral system provides for a form of proportional representation, with the consequence that coalition government has become the norm in recent decades.

Following their review of parliamentary representation in South London, and as a consequence of changes to ward boundaries, the Boundary Commission for England recommended that part of Danson Park ward be transferred from Old Bexley and Sidcup to the constituency of Bexleyheath and Crayford.

Following their review of parliamentary representation in Kent, the Boundary Commission for England has made major changes to the constituency boundaries in the county as a consequence of population changes.

Following their review of parliamentary representation in Cumbria, the Boundary Commission for England modified the boundaries of the Carlisle constituency, as a consequence of population changes.

Following their review of parliamentary representation in Oxfordshire, the Boundary Commission for England has made minor changes to the existing arrangement as a consequence of population changes.

Following their review of parliamentary representation, and as a consequence of changes to ward boundaries, the Boundary Commission for England recommended that parts of Underhill ward and Coppetts ward be transferred to Chipping Barnet from the constituencies of Hendon and Finchley and Golders Green respectively.

Following its review of parliamentary representation in Oxfordshire, the Boundary Commission for England made changes to the boundaries as a consequence of population changes.

Following their review of parliamentary representation in Oxfordshire, the Boundary Commission for England has made minor changes to the existing arrangement as a consequence of population changes.

Following their review of parliamentary representation in Hampshire, the Boundary Commission for England has made changes across the county as a consequence of population changes.

Following their review of parliamentary representation in Kent, the Boundary Commission for England made major changes to the existing constituencies as a consequence of population expansion across the county.

Following their review of parliamentary representation in Kent, the Boundary Commission for England has made major changes to the existing constituency boundaries as a consequence of population change across the county.

Following their review of parliamentary representation in Cheshire, the Boundary Commission for England made minor changes to the existing arrangement as a consequence of population changes.

Following their review of parliamentary representation in Cheshire, the Boundary Commission for England made minor changes to the existing arrangement as a consequence of population changes.

Following their review of parliamentary representation in Cumbria, the Boundary Commission for England have created a modified Copeland seat as a consequence of population changes.

As a consequence one has a quotient Hopf algebra H / HA < sup >+</ sup > and epimorphism H → H / A < sup >+</ sup > H, a theory analogous to that of normal subgroups and quotient groups in group theory.

When the theory of distributions was still not widely known nor used, property above was formulated by saying that the convolution of the function ' with a given function belonging to a proper Hilbert or Banach space converges as ε → 0 to this last one: this is exactly what Friedrichs did .< ref > See, properties PI, PII, PIII and their consequence PIII < sub > 0 </ sub >.</ ref > This also clarifies why mollifiers are related to approximate identities.

There can in general be more than one cartesian morphism projecting to a given morphism f: T → S, possibly having different sources ; thus there can be more than one inverse image of a given object y in F < sub > S </ sub > by f. However, it is a direct consequence of the definition that two such inverse images are isomorphic in F < sub > T </ sub >.

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.

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.

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 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.

The consequence ((( A ) B ) C ) = ( AC )(( B ) C ), C7 in LoF, enables an algorithm, sketched in LoFs proof of T14, that transforms an arbitrary pa formula to an equivalent formula whose depth does not exceed two.

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.

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.