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Actually, there have been kernel functions that do not satisfy Mercer's theorem, and there have also been several proposed methods that use such kernel functions.
Given data X that have been kernel transformed and cast into eigen-decomposition space as Y, we consider the first two eigenvectors.
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Edward Bray, a parole board spokesman, said there were concerns that there might have been a "kernel of truth in the allegations".
Although there may have been a kernel of truth in his question, Mr. Huckabee's confessed ignorance about Mormonism is widely shared.
This story, "Optimists," seems to have been the kernel that gave birth to Mr. Ford's ungainly but at times powerful new novel, "Canada".
Mike Huckabee insists he spoke out of ignorance, not malice against the faith of a Republican rival, Mitt Romney, when he asked, "Don't Mormons believe that Jesus and the devil are brothers?" Although there may have been a kernel of truth in his question, Mr. Huckabee's confessed ignorance about Mormonism is widely shared.
In[32], spline functions of third order have been used as kernel function.
All these modules have been developed as kernel modules, which act directly over the operative system routines in charge of carrying out the connectivity tasks.
The physical properties of popcorn kernels have been evaluated as a function of kernel moisture content, varying from 8.95% to 17.12% (db).
Other types of kernels could have been used; however, since the Gaussian kernel is commonly used for the kernel PCA, the SVDD, and the Parzen density, this kernel is the only kernel used with respect to the experiments reported here.
Temperatures, densities and heights of the loop-top flare kernels have been estimated from these data and also the kernel heating has been investigated in detail.
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