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Because q(x) takes integer values,R(x) takes discrete values. The smallest possible value is (2(1 −α)/D), which occurs at homozygously deleted loci and corresponds to the fraction of DNA from normal cells. The spacing between values (α/D) corresponds to the concentration ratio of a...
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The morphisms HomΓop(M,N) between two Γ-sets are natural transformations of functors. The category ΓSets⁎ of Γ-sets is a symmetric, closed, monoidal category (cf. [11], Chapter II). The monoidal structure is given by the smash product of Γ-sets which is an example of a Day...
However, when a hyperpolarized substance is injected into a living organism, e.g., for real-time metabolic imaging [8], [9], or more generally in any experiment where the hyperpolarized substance is diluted or undergoes irreversible biochemical transformations, the measurement of a thermal ...
3.1 Absolute coordinates Having carried out transformations described in [46], the kinetic energy of the i-th segment can be written in the form Ti = 1 tr 2 B˙ i Hi B˙ iT , (12) where B˙ = d Bi dt , Hi is the pseudo-inertial matrix of segment i, ⎡⎤ Hi = Ji SiT ...
This will be used to set the mouse cursor location in conjunction with scaling and rotation transformations tailored to the physical display screen. Y-Pos: This is the mid-point between Y1 and Y2: Y_POS=(Y2+Y1)/2. This will be used to set the mouse cursor location in conjunction with...
, t ∈ R} of transformations of the axis R + by putting T t h x, x ∈ R + equal to the value at the point s = t of the solution of the Cauchy problem (2.1) z ′ x,h (s) = Jh(z x,h (s)), s ∈ R, z x,h (0) = x. Since (2.1) is the Cauchy problem for ...
The desired coordinate scheme is chosen via a series of appropriate coordinate transformations, and the world coordinates of the four corners of the template image are filled in, which enables the matching and positioning to be quickly retrieved based on the pixel values when the matching is ...