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  2. Rouché's theorem - Wikipedia

    en.wikipedia.org/wiki/Rouché's_theorem

    The index of both curves around zero is therefore the same, so by the argument principle, f(z) and h(z) must have the same number of zeros inside C. One popular, informal way to summarize this argument is as follows: If a person were to walk a dog on a leash around and around a tree, such that the distance between the person and the tree is ...

  3. Hurwitz polynomial - Wikipedia

    en.wikipedia.org/wiki/Hurwitz_polynomial

    If the discriminant is equal to zero, there will be two coinciding real solutions at −b/2a. Finally, if the discriminant is greater than zero, there will be two real negative solutions, because b 2 − 4 a c < b {\displaystyle {\sqrt {b^{2}-4ac}}<b} for positive a , b and c .

  4. Root-finding algorithm - Wikipedia

    en.wikipedia.org/wiki/Root-finding_algorithm

    Let f be a continuous function for which one knows an interval [a, b] such that f(a) and f(b) have opposite signs (a bracket). Let c = (a +b)/2 be the middle of the interval (the midpoint or the point that bisects the interval). Then either f(a) and f(c), or f(c) and f(b) have opposite

  5. Proper transfer function - Wikipedia

    en.wikipedia.org/wiki/Proper_transfer_function

    A strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator. The difference between the degree of the denominator (number of poles) and degree of the numerator (number of zeros) is the relative degree of the transfer function.

  6. Particular values of the Riemann zeta function - Wikipedia

    en.wikipedia.org/wiki/Particular_values_of_the...

    Zeros of the Riemann zeta except negative even integers are called "nontrivial zeros". The Riemann hypothesis states that the real part of every nontrivial zero must be ⁠ 1 / 2 ⁠. In other words, all known nontrivial zeros of the Riemann zeta are of the form z = ⁠ 1 / 2 ⁠ + yi where y is a real number.

  7. dc (computer program) - Wikipedia

    en.wikipedia.org/wiki/Dc_(computer_program)

    dc (desk calculator) is a cross-platform reverse-Polish calculator which supports arbitrary-precision arithmetic. [1] It was written by Lorinda Cherry and Robert Morris at Bell Labs. [2] It is one of the oldest Unix utilities, preceding even the invention of the C programming language. Like other utilities of that vintage, it has a powerful set ...

  8. What the '2 percent' actually means in 2 percent milk — and ...

    www.aol.com/article/lifestyle/2017/10/30/what...

    For example, one cup of milk weighs about 225 grams. Of that weight, 2% milk holds 5 grams of fat and whole milk contains 8 grams. So whole milk isn't much fattier than 2%.

  9. Inverse Symbolic Calculator - Wikipedia

    en.wikipedia.org/wiki/Inverse_Symbolic_Calculator

    A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.