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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====