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Eliminate all even degrees of the function cosx using the transformation cos ^{2p}{ x} = bigl( 1-sin ^{2}{ x} bigr) ^{p} = sum_{i=0}^{p} -1)^{i} -1gin{pmatrix} p i end{pmatrix} sin ^{i}}{x}.
This removes all even degrees of the function cosx, but then sine and cosine functions appear in the form (sin boldsymbol{kappa} x) or (cos boldsymbol{kappa} x), where (boldsymbol{kappa} x in ( 0, boldsymbol{kappa} frac{pi}{2} )) and (boldsymbol{kappa} in mathbb{N}).
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All degrees of the functions sinx and cosx are eliminated from the given MTP function (f(x)) through conversion into multiple-angle expressions.
If we could restrict the degree of the function, for example 1°, and limit its coefficients so that the resampling would not exceed the single cross-correlation peak, we would obtain a clear interferogram as shown in Fig. 4 b.
As long as some degree of the functioning Cask gene is maintained in the mouse it is possible for Cask to acquire mutations or be lost in a cell population.
So we are taking 1/12th of 1/4 or 1/48th of 17280 = 360, the degrees of the trig function cosine for a circle.
The shape of such a hypersurface is tuned by several parameters: the number of control points (CPs), their coordinates and related weights, the degrees of the blending functions and the knot-vector components defined along each direction.
Despite the failure of the official project, however, he argued in detail for a connection between confirmation and probability, showing that, given certain apparently reasonable assumptions, the degree-of-confirmation function must satisfy the axioms of the probability calculus.
The degree of the polynomial function and the overtone of the trigonometric functions were determinedby Akaike's information criterion (Akaike, 1974).
In general the greater the degree of function, the greater the rate and degree of transformation into new bone.
It is able to describe the kinetics of the plasma electrons in the nonlocal equilibrium regime, and permits to consider a large anisotropy degree of the distribution function.
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