However, in the context of explosives, stability commonly refers to ease of detonation, which is concerned with kinetics ( i. e., rate of decomposition ).

However, if the decomposition into given above is possible, then requires storing 4 values, requires storing values, and again requires storing just 4 values.

However, most are not hydroponics because the soilless medium often provides some of the mineral nutrients via slow release fertilizers, cation exchange, and decomposition of the organic medium itself.

However, this is not the case with a special-purpose factorization algorithm, since it may not apply to the smaller factors that occur during decomposition, or may execute very slowly on these values.

However, wear and decomposition of the wheel, as well as the direct mechanical coupling to a vibrating motor, introduced low-frequency noise (" rumble ") and speed variations (" wow and flutter ") into the sound.

However, the eigenvalue decomposition and the singular value decomposition differ for all other matrices M: the eigenvalue decomposition is where U is not necessarily unitary and D is not necessarily positive semi-definite, while the SVD is where Σ is a diagonal positive semi-definite, and U and V are unitary matrices that are not necessarily related except through the matrix M.

However, the claimed high-pressure metallic and superconducting phase of SiH < sub > 4 </ sub > was later identified as platinum hydride, that formed after the decomposition of SiH < sub > 4 </ sub >.

However, all will have been subject to geological decomposition processes that result in a material which, after processing, is suitable as an ingredient in some ceramic formulations.

However both are derived from decomposition of igneous rocks.

However this minimal decomposition is not necessarily the one produced by Ricci flow ; if fact, the Ricci flow can cut up a manifold into geometric pieces in many inequivalent ways, depending on the choice of initial metric.

However there is a subtle difference: if one of the tori in the JSJ decomposition is " non-separating ", then the boundary of the characteristic submanifold has two parallel copies of it ( and the region between them is a Seifert manifold isomorphic to the product of a torus and a unit interval ).

However, for composite sizes such as prime powers, the Cooley – Tukey FFT algorithm is much simpler and more practical to implement, so Rader's algorithm is typically only used for large-prime base cases of Cooley – Tukey's recursive decomposition of the DFT ( Frigo and Johnson, 2005 ).

However, this does not diminish the huge quantities of foliage they harvest ; Atta is estimated for being responsible for the decomposition of 20 % of all leaves in South America.

However TT < sup > T </ sup > is a large matrix, and if instead we take the eigenvalue decomposition of

However, the carbon dioxide released through incineration occurs at a much faster rate than decomposition because burning wood takes a few seconds and decomposition takes years.

However, the compactness restriction in the usual formulation of the Hodge decomposition can be replaced by suitable decay assumptions at infinity on the differential forms involved, giving a proper generalization of the Helmholtz theorem.

However, a handlebody decomposition gives more information than just the homotopy type of the manifold.

However, within aging municipal solid waste landfills, this may not be a problem as the pH returns close to neutral after the initial stage of acidogenic leachate decomposition.

However, these models do not reflect simultaneous linear and non-linear decay processes which likely occur during decomposition.

However, if the waste water treatment is finely controlled, the organic carbon in the food may help to keep the bacterial decomposition running, as carbon may be deficient in that process.

However, quadricyclane undergoes thermal decomposition at relatively low temperatures ( less than 400 ° C ).

However, many important and interesting operations are non-associative ; one common example would be the vector cross product.

However, recently a transfection vector was developed and the transfection conditions for E. invadens were optimised which should enhance the research possibilities at the molecular level of the differentiation process.

However, a uniform 1D vector field has this symmetry group.

However, for vector fields it does not: in cylindrical coordinates with respect to some axis,

However, in the case of torque, the unit is assigned to a vector, whereas for energy, it is assigned to a scalar.

However, once a file is converted from the vector format, it is likely to be bigger, and it loses the advantage of scalability without loss of resolution.

However, it is not always possible or desirable to define the length of a vector in a natural way.

However, the transmission dynamics within prairie dogs does not follow the dynamics of blocked fleas ; carcasses, unblocked fleas, or another vector could possibly be important instead.

However, by using vector instructions carefully and building useful chains, the system could peak at 250 MFLOPS.

However, AltiVec provides a much more complete set of " horizontal " operations that work across all the elements of a vector ; the allowable combinations of data type and operations are much more complete.

However the machine also took considerable time decoding the vector instructions and getting ready to run the process, so it required very specific data sets to work on before it actually sped anything up.

However, recognising the benefits of vector processing IBM developed Virtual Vector Architecture for use in supercomputers coupling several scalar processors to act as a vector processor.

However, it is also possible for a system to be in a statistical ensemble of different state vectors: For example, there may be a 50 % probability that the state vector is and a 50 % chance that the state vector is.

However, there is no state vector which determines this statistical behavior in the sense that the expectation value of F ( A ) is

However, when DNA fragments are inserted in the vector, the production of LacZα is disrupted, the cells therefore show no β-galactosidase activity.

However, normal may also refer to the magnitude of a vector.

However, since d is a vector, its expectation value in a state | ψ > must be proportional to < ψ | J | ψ >.

However, the more difficult proof of the converse ( see below ) makes use of the vector space structure: Since both of the factors are vector spaces over Q, the tensor product can be taken over Q.

However, in more general contexts ( e. g., vector spaces that use complex numbers as scalars ) the inner and the dot products are typically defined in ways that do not coincide.

However, in most cases, it is important that an initialization vector is never reused under the same key.