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For any vector in, we write the th forward difference of a function in the direction of as (25).
These findings demonstrate that the presence of the expert's advice led to a significant change in the curvature of the probability weighting function in the direction of the expert's advice.
However, it should be noted that the enzymes of the final part of glycolysis in majority also function in the direction of gluconeogenesis, by catalyzing the reverse reactions.
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This theory is based on the representation of the displacement vector in terms of products of the given functions in the direction of the axes x1, x2 and the unknown functions over the axis x3.
Analysis of iRsp1095 revealed that it includes at total of 61 NADPH requiring reactions, of which only 29 were independently non-essential and capable of functioning in the direction of NADPH synthesis.
When functioning in the direction of acetate synthesis, this pathway serves three functions: 1) to incorporate Pi, 2) to recycle coenzyme A (HS-CoA) and 3) to produce ATP.
We can now prove the derivative bounds for the harmonic function convex in the direction of the real axis.
For arbitrary vector e ∈ R d, we write for the r th symmetric difference of a function f in the direction of e Δ h e r f ( x ) : = { ∑ i = 0 r ( − 1 ) i ( r i ) f ( x + ( r 2 − i ) h e ), x ± r h e 2 ∈ T, 0, otherwise.
Under the DT model, the fiber orientation is given by a single delta function pointed in the direction of the primary eigenvector.
Mobile robot solutions like Temi, which performs a number of interesting entertainment, news dissemination, and video conferencing functions, point in the direction of where the market is headed.
Such functions h, clearly univalent as close-to-convex, and domains h ( D ) are called convex in the positive (negative) direction of the real axis and are related to functions convex in the direction of the imaginary axis (see, e.g., [17 20], [[21], Chapter VI], [22]).
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