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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 ).
Some Related Sentences
Although and is
Although he is perfectly willing to cooperate with Scotland Yard, Holmes has nothing but contempt for the intelligence and mentality of the police.
Although we continue to pay our conversational devotions to `` free private enterprise '', `` individual initiative '', `` the democratic way '', `` government of the people '', `` competition of the marketplace '', etc., we live rather comfortably in a society in which economic competition is diminishing in large areas, bureaucracy is corroding representative government, technology is weakening the citizen's confidence in his own power to make decisions, and the threat of war is driving him economically and physically into the ground ''.
Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.
Although we have no measures of its strength or intensity, the heritage of the doctrine of inalienable rights is retained.
Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.
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 false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.
Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.
`` Although it is not the best of which he is capable '', said Shelley as he closed the book, `` it is still poetry of a high order ''.
Although Sam Rayburn affects a gruff exterior in many instances, nevertheless he is fundamentally a man of warm heart and gentle disposition.
Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.
Although much of the Industrial Division's promotional effort is devoted to securing new locations and expansions by major industries, small business is also afforded considerable attention.
Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.
Although and symmetric
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 it has a symmetric structure, Ionizing one phosphate happens at a very different levels of acidity than ionizing both: pK < sub > 1 </ sub > = 3 and pK < sub > 2 </ sub > > 7. 5.
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.
Although and if
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 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 his respect for Aristotle was diminished as his travels made it clear that much of Aristotle's geography was clearly wrong, when the old philosopher released his works to the public, Alexander complained " Thou hast not done well to publish thy acroamatic doctrines ; for in what shall I surpass other men if those doctrines wherein I have been trained are to be all men's common property?
Although he himself was a blues purist, Korner criticised better-known British blues musicians during the blues boom of the late 1960s for their blind adherence to Chicago blues, as if the music came in no other form.
Although it has been known for a while that the Black Sea and the Sea of Marmara flow into each other in an example of a density flow, findings of a study by the University of Leeds in August 2010 reveal that there is in fact an underwater channel of high density water flowing across the floor of the Bosphorus ( caused by the difference in density of the two seas ), which would be the sixth largest river on Earth if it were to be on land.
Although the European film industry was then in its ascendancy, Bardot was one of the few European actresses to have the mass media's attention in the United States, an interest which she did not reciprocate by rarely, if ever, going to Hollywood.
Although bongos are quite easy for humans to catch via snares ; it is of interest that many people native to the bongos habitat believed that if they ate or touched bongo they would have spasms similar to epileptic seizures.
Although a bee sting can be deadly to those with allergies, virtually all bee species are non-aggressive if undisturbed and many cannot sting at all.
Although this problem seems easier, it has been shown that if there is a practical ( randomized polynomial-time ) algorithm to solve this problem, then all problems in NP can be solved just as easily.
Although many interpretations of this have been offered, it is impossible to tell whether this was true, and if so, what exactly the signal meant.
Although there are infinitely many halting probabilities, it is common to use the letter Ω to refer to them as if there were only one.
Although Ireland left the Commonwealth in 1949, it is often treated as if it were a member, with references being made in legal documents to ' the Commonwealth and the Republic of Ireland ', and its citizens are not classified as foreign nationals, particularly in the United Kingdom.
Although prophylaxis is available and is often initiated in patients with large tumors, this is a dangerous side-effect that can lead to death if left untreated.
Although cholera may be life-threatening, prevention of the disease is normally straightforward if proper sanitation practices are followed.
Although did not think of himself as a deist, he shared so many attitudes with deists that Gay calls him " a Deist in fact, if not in name ".
Although Ace and Wollheim have become the villains in the Tolkien publishing gospel, it's probable that the whole Tolkien boom would not have happened if Ace hadn't published them.
Although the unused bits were not implemented in hardware such as TLBs, the architecture required implementations to check if they are zero to ensure software compatibility with implementations that implemented a larger or the full virtual address space.
Although the ultimate attainment for this type of mysticism is union with God, it is not necessarily visionary, nor does it hope only for ecstatic experiences ; instead, mystical life is successful if it is imbued with charity.
Although a successful pursuit of self-interest may be viewed as a moral victory, it could also be dubbed immoral if it prevents another person from executing what is in his best interests.
Although a digital filter can be an IIR filter if the algorithm implementing it includes feedback, it is also possible to easily implement a filter whose impulse truly goes to zero after N time steps ; this is called a finite impulse response ( FIR ) filter.
Although the XM-291 does not immediately mean that ETC technology is viable at this current point in time it does offer an example that it is possible and that continued research in the area is worth the advantages reaped if such a system was to be successfully implemented on a modern tank.
Although those acting primarily on emotion may seem as if they are not thinking, cognition is an important aspect of emotion, particularly the interpretation of events.
" Although deliberately framed as if it were a law of nature or of mathematics, its purpose has always been rhetorical and pedagogical: I wanted folks who glibly compared someone else to Hitler or to Nazis to think a bit harder about the Holocaust ," Godwin has written.