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 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 biopsies have shown structural changes in some of the reported cases of steroid-induced weakness, this case provides the only example known to us in which necropsy afforded the opportunity for extensive study of multiple muscle groups.

The Turkish language and the Islamic religion were gradually introduced as a result of the Seljuk conquest, and this period marks the start of Anatolia's slow transition from predominantly Christian and Indo-European and Semitic-speaking, to predominantly Muslim and Turkish-speaking ( Although some ethnic groups such as Armenians, Greeks, Assyrians and Georgians retained Christianity and their native languages ).

Although local police were surprised by the size of N30, law enforcement agencies have since reacted worldwide to prevent the disruption of future events by a variety of tactics, including sheer weight of numbers, infiltrating the groups to determine their plans, and preparations for the use of force to remove protesters.

Although Anabaptists began with the Radical Reformers in the 16th century, certain people and groups may still legitimately be considered their forerunners due to a similar approach to the interpretation and application of the Bible.

Although BJU admitted Asians and other ethnic groups from its inception, it did not enroll black students until 1971, eight years after the University of South Carolina and Clemson University had been integrated by court order.

Although many Caribbean islands were initially populated by Amerindian groups such as the Arawaks, Tainos, and Caribs, no evidence of this has been found in the Cayman Islands.

Although organizational communication, as a field of study, is usually geared toward companies and business groups, these may also be seen as communities.

Although never formally endorsed by CND nationally, INDEC candidates were generally put up by local CND groups as a means of raising the profile of this issue in public politics.

Although the FDN had its roots in two groups made up of former National Guardsmen ( of the Somoza regime ), its joint political directorate was led by businessman and former anti-Somoza activist Adolfo Calero Portocarrero.

Although noting in the introduction to ' The Protestors ' that ' Some recorded herein perhaps did not have " all the truth " — so the writer has been reminded ', Eyre nevertheless claimed that the purpose of the work was to ' tell how a number of little-known individuals, groups and religious communities strove to preserve or revive the original Christianity of apostolic times ', and that ' In faith and outlook they were far closer to the early springing shoots of first century Christianity and the penetrating spiritual challenge of Jesus himself than much that has passed for the religion of the Nazarene in the last nineteen centuries '.

Although classified as camps there were no actual permanent camps ; instead, organized groups moved with their family from project to project, for which a rental allowance was issued in their pay.

Although most commonly used to describe an individual situation, the term is also used for groups ( especially ethnic or national groups ), or for an entire government.

Although the pre-war establishment had been split by the Civil War, both of the opposing main factions regarded all radical groups as agitators for change, and they are described as such in the Historical Collections of John Rushworth that document events of the early period, and by the Journals of the House of Commons which cover the period of the Republic itself.

Although this phenomenon was nothing new, ( the most famous example being Neil Blaney's " Donegal Mafia ") it increased significantly from the early 90's particularly in the Dublin Region with former Taoiseach Bertie Ahern's " Drumcondra mafia " and the separate groups supporting Tom Kitt and Séamus Brennan in Dublin South largely separate from the official party structure.

* Linear algebraic groups ( or more generally affine group schemes ) — These are the analogues of Lie groups, but over more general fields than just R or C. Although linear algebraic groups have a classification that is very similar to that of Lie groups, and give rise to the same families of Lie algebras, their representations are rather different ( and much less well understood ).

Although many regulations that discriminated against non-Christians — including Jews and other minority groups — had been eliminated during the unification of Germany in 1871, antisemitism continued to exist and thrive in Germany and other parts of Europe.

Although relations among different religious and ethnic groups are largely harmonious, acute sectarian discontent and violence remain problems in some areas.

Although the screening was a sell-out, some Christian groups, notably the conservative Christian Voice, were highly critical of the decision to allow the screening to go ahead.

Although today Sophus Lie is rightfully recognized as the creator of the theory of continuous groups, a major stride in the development of their structure theory, which was to have a profound influence on subsequent development of mathematics, was made by Wilhelm Killing, who in 1888 published the first paper in a series entitled

Although moose rarely gather in groups, there may be several in close proximity during the mating season.

Although at this stage the farm is not expected to be a profit-making enterprise, it obtains some income from the sale of moose milk and from visiting tourist groups.

Although they are forbidden to sit with the customers, the dancers are sometimes proffered drinks, and most of them can bolt one down in mid-shimmy.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

Although no national norms exist for the social development of children, the teacher can find a great deal of information concerning types of social behavior normally displayed by children at various age levels.

Although the first polyether foams on the market had to be produced by the two-step prepolymer method, today, thanks to new catalysts, they can be produced by a one-shot technique.

Although a complete picture cannot be given, we can indicate some aspects of life into which the Christian faith entered as at least one creative factor.

Although human morphology is not necessarily the ideal form for working robots, the fascination in developing robots that can mimic it can be found historically in the assimilation of two concepts: simulacra ( devices that exhibit likeness ) and automata ( devices that have independence ).

Although digital setting circles can be used to display a telescope's RA and Dec coordinates, they are not simply a digital read-out of what can be seen on the telescope's analog setting circles.

Although the neutral ground-state chemical compounds of argon are presently limited to HArF, argon can form clathrates with water when atoms of it are trapped in a lattice of the water molecules.

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 not as accurate by themselves as STOs, combinations of many Gaussians can attain the accuracy of hydrogen-like orbitals.

Although the terms adiabatic and isocaloric can often be interchanged, adiabatic processes may be considered a subset of isocaloric processes ; the remaining complement subset of isocaloric processes being processes where net heat transfer does not diverge regionally such as in an idealized case with mediums of infinite thermal conductivity or non-existent thermal capacity.

Although agates may be found in various kinds of rock, they are classically associated with volcanic rocks and can be common in certain metamorphic rocks.

Although programs can alter the position of the screen in memory, the non-linear format of the display means that vertical scrolling can only be done in blocks of 8 pixels without further work.

Although such a conversion can be prone to loss, most modern audio systems use this approach as the techniques of digital signal processing are much more powerful and efficient than analog domain signal processing.

Although sometimes this energy is released in the form of an emitted photon, the energy can also be transferred to another electron, which is ejected from the atom.

* Conservation of Energy: Although energy can be converted from one form to another, the total energy in a given closed system remains constant.

Although colors can be mixed, pigments are often not specified.

Although some plants do prefer slightly basic soil ( including vegetables like cabbage and fodder like buffalograss ), most plants prefer a mildly acidic soil ( pH between 6. 0 and 6. 8 ), and alkaline soils can cause problems.

Although AVMs are often associated with the brain and spinal cord, they can develop in any part of the body.

Although oxidation reactions are crucial for life, they can also be damaging ; plants and animals maintain complex systems of multiple types of antioxidants, such as glutathione, vitamin C, and vitamin E as well as enzymes such as catalase, superoxide dismutase and various peroxidases.

Although integration is the primary purpose of these organizations, they also serve as forums in which Brazil can exercise its leadership and develop consensus around its positions on regional and global issues.

Although black is sometimes described as an " achromatic ", or hueless, color, in practice it can be considered a color, as in expressions like " black cat " or " black paint ".