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Although and general
Although open to the general public it is not overcrowded ; ;
Although the laws of the various states, in general, specify the situs of property, i.e., residence or domicile of the owner, or location of the property, the exceptions regarding boats, airplanes, mobile homes, etc., seem to add to the uncertainty of the proper origination point for assessment.
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 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 the lowest salinity values are just north of the equator ( because of heavy tropical rainfall ), in general the lowest values are in the high latitudes and along coasts where large rivers enter.
Although the origins of the term are not referred to in the text, the title served ( along with the general hype created in Australia ) to revive public interest in the legend.
Although Doubleday achieved minor fame as a competent combat general with experience in many important Civil War battles, he is more widely remembered as the supposed inventor of the game of baseball, in Elihu Phinney's cow pasture in Cooperstown, New York, in 1839.
Although the general direction of the mountains, ridges, and valleys is northeast and southwest, irregularity is one of the most prominent characteristics.
Although there is no agreement on how a city is distinguished from a town within general English language meanings, many cities have a particular administrative, legal, or historical status based on local law.
Although chives are repulsive to insects in general, due to their sulfur compounds, their flowers attract bees, and they are at times kept to increase desired insect life.
Although there are often disputes about its organisation and funding, British parties to this day must still voice their general support for the NHS in order to remain electable.
Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment.
Although there is agreement on the time and general manner of his death, it is not clear where this happened.
Although many different processes might produce the general form of a black body spectrum, no model other than the Big Bang has yet explained the fluctuations.
Although his name and history were taken from his early life with his adoptive Earth parents, everything about Clark was staged for the benefit of his alternate identity: as a reporter for the Daily Planet, he receives late-breaking news before the general public, has a plausible reason to be present at crime scenes, and need not strictly account for his whereabouts as long as he makes his story deadlines.
Although he was an immensely capable general and statesman, Cesare would have trouble maintaining his domain without continued Papal patronage.
Although Diophantus made important advances in symbolism, he still lacked the necessary notation to express more general methods.
Although it is claimed that, depending on their preferred learning modality, different teaching techniques have different levels of effectiveness, recent research has argued " there is no adequate evidence base to justify incorporating learning styles assessments into general educational practice.
Although noted for his work on American linguistics, Sapir wrote prolifically in linguistics in general.
Although Spain's commissioner general had extensive powers, the Equatorial Guinean General Assembly had considerable initiative in formulating laws and regulations.
Although this took place before the invention of E-Prime, it does show the application of general semantics to psychotherapy.
Although several designs ( such as the Convair flying car ) have flown, none have enjoyed commercial success, and those that have flown are not widely known about by the general public.
Although listed under the general heading of " panoramas " in the sales catalogues of the time, those films shot straight forward from in front of a railway engine were usually specifically referred to as " phantom rides ".
Although the fundamental group in general depends on the choice of base point, it turns out that, up to isomorphism ( actually, even up to inner isomorphism ), this choice makes no difference as long as the space X is path-connected.
Although according to current theories matter is still required to travel subluminally with respect to the locally distorted spacetime region, apparent FTL is not excluded by general relativity.

Although and matrix
Although Schrödinger himself after a year proved the equivalence of his wave-mechanics and Heisenberg's matrix mechanics, the reconciliation of the two approaches and their modern abstraction as motions in Hilbert space is generally attributed to Paul Dirac, who wrote a lucid account in his 1930 classic Principles of Quantum Mechanics.
Although the principle is more visually intuitive in the wave mechanics formalism, it was first derived and is more easily generalized in the matrix mechanics formalism.
Although it is not proven how elevated TGFβ levels are responsible for the specific pathology seen with the disease, an inflammatory reaction releasing proteases that slowly degrade the elastin fibers and other components of the extracellular matrix is known to occur.
Although nearly all inkjet, thermal, and laser printers also print closely spaced dots rather than continuous lines or characters, it is not customary to call them dot matrix printers.
Although the output of modern computers is generally all in the form of dot matrices, computers may internally store data as either a dot matrix or as a vector pattern of lines and curves.
Although there is one subtlety, due to the nature of matrix multiplication.
Although the construction details of the Chobham Common armour remain a secret, it has been described as being composed of ceramic tiles encased within a metal matrix and bonded to a backing plate and several elastic layers.
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 " transition matrix " is often used interchangeably with " substitution matrix " in fields other than bioinformatics, the former term is problematic in bioinformatics.
Although it has been developed along a predominantly Catholic social matrix, both because of colonization and immigration-even today the majority of Manauenses is Catholic, one can find dozens of different Protestant denominations in the city, as well as the practice of Judaism, Candomblé, Islam and spiritualism, among others.
Although this equation is correct, and can work in many applications, it is not computationally efficient to invert the normal equations matrix.
Although there exist polynomial time algorithms to find a matrix having given row and column sums, the solution may be far from unique: any submatrix in the form of a 2 × 2 identity matrix can be complemented without affecting the correctness of the solution.
Although it is oriented to sound processing ( it is directly connected to the RAM and codec via an interconnection matrix ), it is also capable of graphics processing ( calculation of fractal, deformations, 3D projections, JPEG decompression ).
Although his algorithm is only slightly faster than the standard algorithm for matrix multiplication, he was the first to point out that the standard approach is not optimal.
Although William Gibson's notion of cyberspace as a consensual virtual reality hallucination representing data as a 3D matrix is not remotely how users access or perceive the Internet, his cyberpunk novel Count Zero ( 1986 ) described in detail a character's representation socializing in an online world:
Although the derivative of a quadratic function is linear, matrix operations and trigonometric operations make it highly non-linear.
Although named after Fermi, most of the work leading to the Golden Rule was done by Dirac who formulated an almost identical equation, including the three components of a constant, the matrix element of the perturbation and an energy difference.
Although at first the choice of the solution to this regularized problem may look artificial, and indeed the matrix seems rather arbitrary, the process can be justified from a Bayesian point of view.
Although osteocytes have reduced synthetic activity and, like osteoblasts are not capable of mitotic division, they are actively involved in the routine turnover of bony matrix, through various mechanosensory mechanisms.
Although for the most part the constituent grains are too small to be determined by the unaided eye, there are often larger crystals of cordierite, garnet or andalusite scattered through the fine matrix, and these may become very prominent on the weathered faces of the rock.
Although seemingly killed when his battle-suit explodes due to the strain of energizing a multiple teleportation matrix system ( thanks to Jaxon ), he is in fact transported to Jupiter's moon, Ganymede.
Although deficiency of Akt1 in mice inhibited physiological angiogenesis, it enhanced pathological angiogenesis and tumor growth associated with matrix abnormalities in skin and blood vessels.

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