Sentence examples for apply some basic from inspiring English sources
Both sides of (24) being negative we can apply some basic concepts of algebra, getting k^{2}n^{2}+8m-8mn+4m^{2}geq +8m-8mn+4m^{2}geq(25).
Motivated by [8], our purpose is to apply some basic theorems in topological degree theory and fixed point index theory to establish some conditions for the nonlinear function f, which are able to guarantee the existence of sign-changing solutions, positive solutions, and negative solutions for the above discrete boundary value problem.
Apply some basic graphic design principles to make sure the assumptions and results are easy to read.
Working with Robert Shadwick at the University of British Columbia and Mr. Pyenson, Mr. Goldbogen applied some basic laws of physics to the data, combining it with information about the size and shape of fin whale bodies.
Then, it is shown that by applying some basic concepts of fractional calculus, the samples of the target process can be simulated as superposition of Riesz fractional derivatives of a Gaussian white noise processes.
At the centre of the novel is scruffy 11-year-old JR Vansant, who, on a school trip to Wall Street, becomes fascinated with stocks and shares and by applying some basic capitalist principles, turns a simple mail order enterprise into a financial conglomerate.
At this step, by applying some basic manipulations, the above problem can be finally casted to a standard form of GP which is readily (8) as desired.
Apple's new photos app applies some basic organizational logic to your picture library, making it easier to find specific moments, and to browse based on locations and date, which is much better than having to organize events yourself.
By applying some basic operations to the above identity, that is, for any positive integers m and b, there exist unique non-negative integers k and i such that m = b k + i with 0 ≤ i ≤ b − 1.
Note that permutation ambiguity does not exist due to the knowledge of the training matrices E and F. The relation (29) can be obtained by replacing the alternative solutions H ̄ ̂ sr, H ̂ rd, and H ̂ rr into (14) and then applying some basic manipulations using properties of the Kronecker product.
We will suggest that the mammographer can minimise image blurring by applying some basic radiographic principles, often forgotten as we strive to perfect this challenging technique.
