Timeline for How to prove symmetry of a Uniform kernel?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 28, 2022 at 4:31 | comment | added | user359211 | whuber, I looked at the the kernel function as a pdf (since all pdfs can be used as kernels) and viewed I as its domain | |
| May 27, 2022 at 13:58 | comment | added | whuber♦ | For the reason we ask for your meaning of "kernel," see the "Mathematics" section of the Wikipedia disambiguation page. However, the two questions you ask are so trivial that we have to suspect there might be an issue just understanding the notation. Could you tell us how you define the function "$I$"? | |
| May 27, 2022 at 8:55 | comment | added | user359211 | statistical definition of kernel en.wikipedia.org/wiki/Kernel_(statistics). So from further study I gathered k(x) = k(-x) means that when you graph the function on a (x,y) plane it is symmetrical. Like how when you graph a normal distribution it is symmetrical. Now I have to see how k(x) is greater than or equal to 0 for all x. | |
| May 27, 2022 at 5:51 | comment | added | Peter Leopold | Proof exercises are frustrating because one's temptation is to declare the theorem "obvious." In fact, they are exercises in a disciplined reading of definitions, axioms and other previously proven theorems. Take the definition of a kernel verbatim. Then show through simple mathematical relations that those definitions are true for this kernel. If you feel silly while you are doing it, you are doing it right! | |
| May 27, 2022 at 5:51 | comment | added | frank | The term "kernel" is used for many different entities. Can you please state what you are referring to by "kernel"? | |
| May 27, 2022 at 5:39 | comment | added | Tim | Since the function is constant for all valid values it should be pretty straightforward, isn’t it? | |
| S May 27, 2022 at 5:29 | review | First questions | |||
| May 27, 2022 at 12:32 | |||||
| S May 27, 2022 at 5:29 | history | asked | user359211 | CC BY-SA 4.0 |