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4 days ago · In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions (and ) that produces a third function (). The term convolution refers to both the result function and to the process of computing it.
4 days ago · A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
1 day ago · In probability theory, the central limit theorem ( CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution. This holds even if the original variables themselves are not normally distributed.
9 hours ago · Abstract. In order to study the large time behavior of finite difference schemes for the transport equation, we need to describe the pointwise asymptotic behavior of iterated convolutions for finitely supported sequences indexed on \ (\mathbb {Z}\). In this paper, we investigate this question by presenting the main result of [ 2] which is a ...
2 days ago · Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements. Discrete structures can be finite or infinite.
3 days ago · Vectorizing Convolution. We will first implement a 1-D convolution and then vectorize it. The 2-D vectorized convolution will perform 1-D convolution across the rows to produce the correct results. 1-D Convolution: Scalar
4 days ago · Definition. An elliptic curve is a plane curve defined by the equation y^2=f (x) y2 = f (x), where f (x) f (x) is a cubic polynomial with no repeated roots. _\square . (2) and (3) (1), (2), and (3) (3) only (1) and (2) Consider the curves given by the following three equations. (1) y^2 = -\dfrac 1 {16}x^2 + 1 y2 = −161 x2 +1.
