Although he is perfectly willing to cooperate with Scotland Yard, Holmes has nothing but contempt for the intelligence and mentality of the police.

Although Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.

Although the wood has been changed to coal, much of it still retains its original cell structure.

Although today's trucks are as fast as passenger cars, a truck driver has to be a sensible person and guard against hogging the road.

Although the matter has not been unequivocally demonstrated, the available data show that micelles in themselves do not contribute significantly to the detergency process.

Although a somewhat technical subject, it has important political implications as the above discussion of the voting system indicated.

Although the pause in the advance of general business activity this year has thus far been quite modest, it is hard to escape the conclusion that the softening process will continue into the first quarter of 1961 and possibly somewhat longer.

Although refrigeration has served to extend the storage life of these products, substantially increased consumption might be possible if areas remote from the seacoast could be served adequately.

Although science has given us more effective materials, preparations from anise, castorbean, colchicum, nux vomica, mustard, fennel, and stramonium are familiar to many for the relief of human ailments.

Although progress has been made in America's system of libraries it still falls short of what is required if we are to maintain the standards that are needed for an informed America.

Although I have emphasized the barriers which an aroused nationalism has raised against relations between Christians and non-Christians in Asia, the fact is that this development has also widened the gulf between certain Afro-Asian religions themselves.

Although the axiom of countable choice in particular is commonly used in constructive mathematics, its use has also been questioned.

Although argon is a noble gas, it has been found to have the capability of forming some compounds.

Although the Indian and Greek concepts of the atom were based purely on philosophy, modern science has retained the name coined by Democritus.

Although panic attacks are not experienced by every person who has anxiety, they are a common symptom.

Although a cease-fire has held since 1994, the conflict with Azerbaijan over Nagorno-Karabakh has not been resolved.

Although MacDougall's results varied considerably from " 21 grams ", for some people this figure has become synonymous with the measure of a soul's mass.

Although, as of 2009, none of the extrasolar planets detected by ground-based astrometry has been verified in subsequent studies, astrometry is expected to be more accurate in space missions that are not affected by the distorting effects of the Earth's atmosphere.

Although hydrogen-like orbitals are still used as pedagogical tools, the advent of computers has made STOs preferable for atoms and diatomic molecules since combinations of STOs can replace the nodes in hydrogen-like atomic orbital.

Although the sign still exists, the " of " has now been replaced by the URL of their website.

Although the Caiman has not been studied in-depth, scientists have learned that their mating cycles ( previously thought to be spontaneous or year-round ) are linked to the rainfall cycles and the river levels, which increases chances of survival for their offspring.

Although Albert has received relatively little recognition in German history, his dissolution of the Teutonic State caused the founding of the Duchy of Prussia ( and also the Hohenzollern dynasty ), which would eventually become arguably the most powerful German state and instrumental in uniting the whole of Germany.

Although the family ( Amaranthaceae ) is distinctive, the genus has few distinguishing characters among the 70 species included.

Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).

Although it is sometimes used as a ' distance metric ', KL divergence is not a true metric since it is not symmetric and does not satisfy the triangle inequality ( making it a semi-quasimetric ).

Although symmetric groups can be defined on infinite sets as well, this article discusses only the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory.

Although they also have a toroidal magnetic field topology, stellarators are distinct from tokamaks in that they are not azimuthally symmetric.

Although their shell may be so fine as to be transparent, it is nevertheless calcareous ; their shells are bilaterally symmetric and can vary widely in shape: coiled, needle-like, triangular, globulous.

Although US export regulations historically restricted key lengths to 56-bit symmetric keys ( e. g. Data Encryption Standard ), these restrictions are no longer in place, so modern symmetric algorithms typically use computationally stronger 128-to 256-bit keys.

Although the symmetric and transitive properties are often seen as fundamental, they can be proved, if the substitution and reflexive properties are assumed instead.

Although their definition involved a choice of basis and consideration of the corresponding real symmetric matrix A, Sylvester's law of inertia means that they are invariants of the quadratic form q.

Although the X-ray target is removed in electron mode, the beam must be fanned out by sets of thin scattering foils in order to achieve flat and symmetric dose profiles in the treated tissue.

Although one can take the star of any tensor, the result is antisymmetric, since the symmetric components of the tensor completely cancel out when contracted with the completely anti-symmetric Levi-Civita symbol.

Although Desargues ' theorem chooses different roles for these ten lines and points, the Desargues configuration itself is more symmetric: any of the ten points may be chosen to be the center of perspectivity, and that choice determines which six points will be the vertices of triangles and which line will be the axis of perspectivity.

Although it is often intuited as a metric or distance, the KL divergence is not a true metric — for example, it is not symmetric: the KL from P to Q is generally not the same as the KL from Q to P. However, its infinitesimal form, specifically its Hessian, is a metric tensor: it is the Fisher information metric.

Although a general tridiagonal matrix is not necessarily symmetric or Hermitian, many of those that arise when solving linear algebra problems have one of these properties.

Although the fatty acid is symmetric, the resulting eicosanoids are chiral ; the oxidation proceeds with high stereospecificity.

Although radial symmetry is usually given as a defining characteristic of radiates, a few members of the class Anthozoa, which are now considered as the most basal and oldest group of cnidarians, are actually bilateral symmetric.

Although he initially assumed a symmetric affine connection, like Einstein he later considered the nonsymmetric field.

Although originally described in terms of symmetric Turing machines, that equivalent formulation is very complex, and the reducibility definition is what is used in practice.

Although this version is considered the " standard " version performed today, research into Janáček's manuscripts suggests that the Intrada was intended to be played at the beginning of the work as well, creating a symmetric nine-movement form with the Vĕruju at its center.

Although distortion can be irregular or follow many patterns, the most commonly encountered distortions are radially symmetric, or approximately so, arising from the symmetry of a photographic lens.