Why is -1^2 equal to -1? \frac{x}{a}+\frac{x}{b} =c ,a not equal to 0, b not equal to 0, a not equal to-b What is binomial theorem? What is binomial theorem used for? if c is a nonzero constant such that x^2+cx+9c is equal to the square of a binomial, then ...
In the above formula, the output and error signal are variables, while bias is a constant value. Bias is added because it gives a command to the proportional controller when the error signal goes to zero. The command ensures that the controller's output is nonzero. Some smart devices in i...
A constant monomial is simply a monomial that only contains a single number. To illustrate this, consider the following example and non-example. T...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough...
One notable property of cosine distance is its scale invariance. This means that the cosine distance between two vectors remains the same even if you multiply either or both vectors by a scalar (non-zero constant). Mathematically, for any nonzero scalars a and b, and vectors x and y: Cosi...
Nominal Values — If your plant is derived from the linearization of a nonlinear model around an operating point, a good practice is to set the nominal values for input, state, state derivative (if nonzero), and output. Doing so allows you to specify constraints on the actual inputs and ...
(I) Then,for constant background in I, first coft. in columns of J should have high coft. value, the rest should be zeros is what I was expecting.But I was getting nonzero cofts for other frequency bins also.I think it is due to Round-off error in the calculations as Roberson ...
A time base may run at a nonzero rate, but the time will not move until a specific clock value is reached in order to make sure that each track can see the start time of the movie in the future. When the rate changes to nonzero, the time base synchronizes its time with the curre...
is nonzero, so that is nonsingular). Tridiagonal Toeplitz matrices arise frequently: The eigenvalues of are The Kac–Murdock–Szegö matrix is the symmetric Toeplitz matrix It has anumber of interesting properties. In MATLAB, a Toeplitz matrix can be constructed usingtoeplitz(c,r), which produc...
where are two large distinct primes (for instance one can take , for concreteness), denotes the number of times divides , and is the last non-zero digit in the base expansion of : (with the conventions and ). In the case , the first component of (1) looks like this: and a typi...
However, in the nonstandard orders of infinity , we have the same property for both open and closed intervals! Lemma 1 (Completeness for arbitrary intervals) Let be a nested sequence of non-empty intervals in (which can be open, closed, or half-open). Then the intersection is non-empty...