Another type of these things is repeated to indicate implicit summation in the Einstein convention.
In Nielsen theory, this quantity is the multiplicity of the zero of the function "f-of-z minus z" at a fixed point of f. For a linear operator, a quantity given this name equals the dimension of the kernel minus the dimension of the cokernel. The signature of a quadratic form is the difference between the positive and negative types of this quantity, which count the number of the form's positive and negative eigenvalues. In group theory, the number of left cosets of a subgroup H with respect to a group G is given this name. Another type of these things is repeated to indicate implicit summation in the Einstein convention. The manipulation of tensors often involves "gymnastics" named for these things, in which they are raised, lowered, and contracted. For 10 points, name this variable that denotes a position in an ordered list, such as the i in the expression "x-sub-i."
In Nielsen theory, this quantity is the multiplicity of the zero of the function "f-of-z minus z" at a fixed point of f. For a linear operator, a quantity given this name equals the dimension of the kernel minus the dimension of the cokernel.
index [or indices; accept fixed-point index or index of inertia] &lt;Other Science (Math)&gt;