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 bipolar disorder is marked by a transition depression and mania, depression is far more common

Although the change from rolls to codices roughly coincides with the transition from papyrus to parchment as favourite writing material, the two developments are quite unconnected.

Although the atomic structure of glass shares characteristics of the structure in a supercooled liquid, glass tends to behave as a solid below its glass transition temperature.

Although there is only one electronic transition from the excited state to ground state, there are many ways in which the electromagnetic field may go from the ground state to a one-photon state.

Although energy generated by stimulated emission is always at the exact frequency of the field which has stimulated it, the above rate equation refers only to excitation at the particular optical frequency corresponding to the energy of the transition.

Although he became a " legendary director on Broadway ", he made an equally impressive transition into one of the major filmmakers of his time.

Although the significance of the changes that surround menarche is fairly well recognized, in countries such as the USA, the social and psychological ramifications of the menopause transition are frequently ignored or underestimated.

Although in 1933 / 1934 it first seemed that the transition could happen in harmony, at the 1934 congress in Stockholm some UEA functionaries were not re-elected.

Although it is uncertain whether this book created or simplify reflected the transition, many of the 70s authors shifted in new directions during the 80s.

Although Art Nouveau was replaced by 20th-century modernist styles, it is considered now as an important transition between the historicism of Neoclassicism and modernism. Furthermore, Art Nouveau monuments are now recognised by UNESCO with their World Heritage List as significant contributions to cultural heritage.

Although some authors do identify the entire d-block ( groups 3 to 12 ) as transition metals, most define transition metals as elements with partly filled d subshells either in the neutral atom or in ions in common oxidation states.

Although lutetium and lawrencium are in the d-block, they are not considered transition metals but a lanthanide and an actinide, respectively, according to IUPAC.

Although SmartSuite was bundled cheaply with many PCs and may initially have been more popular than Microsoft Office, Lotus quickly lost its dominance in the desktop applications market with the transition to 32 bit applications running on Windows 95.

Although few of Monticello hotels successfully made the transition into the later resort age, the village continued to draw the tourists who stayed at nearby hotels and bungalow colonies.

Although his regular series never made the transition to television, Bergen made numerous appearances on the medium during his career.

Although laminar-turbulent transition is not governed by Reynolds number, the same transition occurs if the size of the object is gradually increased, or the viscosity of the fluid is decreased, or if the density of the fluid is increased.

Although the first national colorcast ( the 1954 Tournament of Roses Parade ) occurred on January 1, 1954, it was not until the late 1960s that color sets started selling in large numbers, due in some part to the color transition of 1965 in which over half of all network prime-time programming would be broadcast in color that fall, and the introduction of GE's Porta-Color set in the Spring of 1966 which would bring the first all-color primetime season beginning that fall.

Although his playing and writing style contributed the R & B, funk and soul elements that gave the band the commercial edge they sought, Ogletree apparently found the transition from rehearsal to recording and live playing difficult.

Although the entry of German troops in March was sudden, the transition of the postal system took several months ; and included a period where German stamps were required in addition to Austrian stamps ( a mixed franking ).

Although many children's hospitals feature integrated multidisciplinary teams to coordinate healthcare of youth with spina bifida, the transition to adult healthcare can be difficult because the above healthcare professionals operate independently of each other, requiring separate appointments and communicate among each other much less frequently.

Although these were for a limited number of seats, they did allow for the transition to a more open political system.

Although several other Linux distributions support the Power Architecture, Yellow Dog Linux was distinguished for its focus on supporting the Apple Macintosh platform before the Apple – Intel transition.

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 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 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 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.