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===Identifying if a function is a kernel=== | ===Identifying if a function is a kernel=== | ||
Basic check: | Basic check: | ||
Since the kernel is an inner-product, it should satisfy the axioms of inner products, namely <math>K(x,z)=K(z,x)</math>, otherwise it is not a kernel.<br> | Since the kernel is an inner-product between <math>\phi(x), \phi(z)</math>, it should satisfy the axioms of inner products, namely <math>K(x,z)=K(z,x)</math>, otherwise it is not a kernel.<br> | ||
====Mercer Conditions==== | ====Mercer Conditions==== | ||