Search results
Results From The WOW.Com Content Network
However, the first form keeps better numerical accuracy for large values of x, because squares of differences between x and x leads to less round-off than the differences between the much larger numbers Σ(x 2) and (Σx) 2. The built-in Excel function STDEVP, however, uses the less accurate formulation because it is faster computationally. [5]
The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.
In computing, a roundoff error, [1] also called rounding error, [2] is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. [3]
In the example from "Double rounding" section, rounding 9.46 to one decimal gives 9.4, which rounding to integer in turn gives 9. With binary arithmetic, this rounding is also called "round to odd" (not to be confused with "round half to odd"). For example, when rounding to 1/4 (0.01 in binary), x = 2.0 ⇒ result is 2 (10.00 in binary)
Quasiconvex function — function f such that f(tx + (1 − t)y) ≤ max(f(x), f(y)) for t ∈ [0,1] Subderivative; Geodesic convexity — convexity for functions defined on a Riemannian manifold; Duality (optimization) Weak duality — dual solution gives a bound on the primal solution; Strong duality — primal and dual solutions are ...
Computing the square root of 2 (which is roughly 1.41421) is a well-posed problem.Many algorithms solve this problem by starting with an initial approximation x 0 to , for instance x 0 = 1.4, and then computing improved guesses x 1, x 2, etc.
The number () itself can be rounded both up and down, so the rounding function is multi-valued. For example, Adams' method uses () =, which corresponds to rounding up; D'Hondt/Jefferson method uses () = +, which corresponds to rounding down; and Webster/Sainte-Laguë method uses = +, which corresponds to rounding to the nearest integer.
A round number is an integer that ends with one or more "0"s (zero-digit) in a given base. [1] So, 590 is rounder than 592, but 590 is less round than 600. In both technical and informal language, a round number is often interpreted to stand for a value or values near to the nominal value expressed.