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The problem for constructing wavelets from a M-band orthogonal interpolatory scaling function was considered.

摘要M-带正交插值函数造相应小波函数扩充问题。

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Linear algebra

Once you know that it's linear, you know that there's some way to describe this function as matrix multiplication.

旦你知道它是线性的 你就知道有方法可矩阵乘法来描述这个函数

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高等数学之美

So that is the entire operation, two matrix products each with a bias added, and a simple clipping function in between.

整个操作就是两个矩阵乘积各自加上个偏置项,并且个简单的裁剪函数

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Linear algebra

You could even define this as matrix vector multiplication when you put the matrix on the left of the vector, like its a function.

你甚至可把它定义为矩阵向量乘法当你把矩阵放在向量的左边 就像它是函数

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Linear algebra

Specifically, since it's a function that goes from three dimensions to one dimension, there will be a one by three matrix that encodes this transformation.

具体来说 因为它是个从三维到维的函数 会有个1×3的矩阵来编码这个变换。

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