The riotous onrush of industrialism after the War for Southern Independence and the general secular drift to the Religion of Humanity, however, prepared the way for a reception of the French Revolution's socialistic offspring of one sort of another.

For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;

What we have seen in this chapter, we have seen only dimly, and yet the results, however general, are worth the search.

In general, however, the timetable of travel lags considerably behind that of the student at Harvard or Smith.

In general, however, it may be said that when a boy or a girl leaves the high school, the school authorities play little or no part in the decision of what happens next.

The meeting will, however, afford a timely and convenient opportunity for the first personal contact between them and a general exchange of views on the major issues which affect the relationships between the two countries ''.

Six days after the surrender of Confederate commanding general Robert E. Lee, however, Lincoln was assassinated by actor and Confederate sympathizer John Wilkes Booth.

This is not the most general situation of a Cartesian product of a family of sets, where a same set can occur more than once as a factor ; however, one can focus on elements of such a product that select the same element every time a given set appears as factor, and such elements correspond to an element of the Cartesian product of all distinct sets in the family.

The Battle of Mantinea, in which Agesilaus took no part, was followed by a general peace: Sparta, however, stood aloof, hoping even yet to recover her supremacy.

The general consensus in the scientific community, however, was to associate this type of complexity with Kolmogorov, who was concerned with randomness of a sequence, while Algorithmic Probability became associated with Solomonoff, who focused on prediction using his invention of the universal a priori probability distribution.

Part of the ethos of democracy, however, was the building of general competence by ongoing involvement.

After four years, however, the Egyptian rebellion was defeated by the Achaemenid general Megabyzus, who captured the greater part of the Athenian forces.

Some general commonalities exist however, as outlined below:

One final act had to be performed, however: al-Fihri's general, al-Sumayl, had to be dealt with, and he was garroted in Córdoba's jail.

The Gaussian theory, however, is only true so long as the angles made by all rays with the optical axis ( the symmetrical axis of the system ) are infinitely small, i. e. with infinitesimal objects, images and lenses ; in practice these conditions are not realized, and the images projected by uncorrected systems are, in general, ill defined and often completely blurred, if the aperture or field of view exceeds certain limits.

Eugene, however, became exasperated with the performance of his Imperial cavalry whose third attack had failed: he had already shot two of his troopers to prevent a general flight.

The Boltzmann distribution is, however, much more general.

The cost was high, however, as the government was required by the king to call two general elections in 1910 to validate its position and ended up frittering away most of its large majority, being left once again dependent on the Irish Nationalists.

Soon, however, the Liberals faced another divisive crisis when a National Government was proposed to fight the 1931 general election with a mandate for tariffs.

The King's Library, on the ground floor of the East Wing, was handed over in 1827, and was described as one of the finest rooms in London although it was not fully open to the general public until 1857, however, special openings were arranged during The Great Exhibition of 1851.

Biotechnology ( see also relatedly bioengineering ) can be a somewhat ambiguous term, sometimes loosely used interchangeably with BME in general ; however, it more typically denotes specific products which use " biological systems, living organisms, or derivatives thereof.

In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right.

The main issue, the flight of general Gotovina, however, remained unsolved and despite the agreement on an accession negotiation framework, the negotiations did not begin in March 2005.

Such radiation of a potentially exploitable signal, however, occurs also with other display technologies and with electronics in general.

However, in the run-up to the 1997 general election, Labour opposition Tony Blair was in talks with Liberal Democrat leader Paddy Ashdown about forming a coalition government if Labour failed to win a majority at the election ; however there was never any need for a coalition to be formed as Labour won the election by a landslide.

In general, " M: N " threading systems are more complex to implement than either kernel or user threads, because changes to both kernel and user-space code are required.

Intuitively, the kernel of the morphism f: X → Y is the " most general " morphism k: K → X that yields zero when composed with ( followed by ) f.

In order to define a kernel in the general category-theoretical sense, C needs to have zero morphisms.

In general, however, the universal-algebraic notion of kernel is more like the category-theoretic concept of kernel pair.

This is the normal subgroup of the general linear group given by the kernel of the determinant

Abstractly, we can say that D is a linear transformation from some vector space V to another one, W. We know that D ( c ) = 0 for any constant function c. We can by general theory ( mean value theorem ) identify the subspace C of V, consisting of all constant functions as the whole kernel of D. Then by linear algebra we can establish that D < sup >− 1 </ sup > is a well-defined linear transformation that is bijective on Im D and takes values in V / C.

For instance, the Linux kernel sets up only 4 general purpose segments:

Often heard arguments against OSS are: the API is practically impossible to virtualize, it lacks support for modern audio features such as timer-based scheduling or proper surround sound support, inability of its developers to work with the Linux kernel community, lack of integration with modern kernel features such as the device model, too low-level interface, as well as general rejection of its design with moving a lot of signal processing code into the kernel.

Much engineering emphasis was placed on supportability and reliable operations including continued work on CPU and device driver support ( which was, for the most part, also sent to UC Berkeley ), hardware failure support and recovery with enhancement to error message text, documentation, and general work at both the kernel and systems program levels.

Over an algebraically closed field, this and its triple cover are the only forms ; however, over other fields, there are often many other forms, or “ twists ” of E < sub > 6 </ sub >, which are classified in the general framework of Galois cohomology ( over a perfect field k ) by the set H < sup > 1 </ sup >( k, Aut ( E < sub > 6 </ sub >)) which, because the Dynkin diagram of E < sub > 6 </ sub > ( see below ) has automorphism group Z / 2Z, maps to H < sup > 1 </ sup >( k, Z / 2Z ) = Hom ( Gal ( k ), Z / 2Z ) with kernel H < sup > 1 </ sup >( k, E < sub > 6, ad </ sub >).

For machine learning algorithms, the kernel trick is a way of mapping observations from a general set S into an inner product space V ( equipped with its natural norm ), without ever having to compute the mapping explicitly, in the hope that the observations will gain meaningful linear structure in V. Linear classifications in V are equivalent to generic classifications in S.

However, the general statement is overkill for what is required for understanding the kernel trick.

( The cokernel and kernel of an elliptic operator are in general extremely hard to evaluate individually ; the index theorem shows that we can usually at least evaluate their difference.

The kernel of the elliptic operator is in general infinite dimensional in this case, but it is possible to get a finite index using the dimension of a module over a von Neumann algebra ; this index is in general real rather than integer valued.

where GL ( V ) is the general linear group of V and Z ( V ) is the subgroup of all nonzero scalar transformations of V ; these are quotiented out because they act trivially on the projective space and they form the kernel of the action, and the notation " Z " reflects that the scalar transformations form the center of the general linear group.

While projective covers for modules do not always exist, it was speculated that for general rings, every module would have a flat cover, that is, every module would be the epimorphic image of a flat module under a homomorphism with superfluous kernel.

Therefore, given a subspace V, in general there are many projections whose range ( or kernel ) is V.

A general protection fault ( GPF ) in the Intel x86 and AMD x86-64 architectures, and other unrelated architectures, is a fault ( a type of interrupt ) that can encompass several cases in which protection mechanisms within the processor architecture are violated by any of the programs that are running, either the kernel or a user program.

Note that in general, the image need not be closed, but the kernel of a continuous operator always is.