summand

A summand in a partition is also called a part.

Accordingly, can be written as or identifying V with the first direct summand.

Each A is called a direct summand of A.

The sum of these numbers is and each summand is a square.

The test is inconclusive if the limit of the summand is zero.

One case occurs when each summand is conditionally symmetric.

We can expand the summand using a geometric series:

Here the order of the summand matters.

The spectrum BP is a direct summand of with coefficients .

This is an infinite sum, which has one summand for every syntactically correct program that halts.

Indeed, the relevant idea is that each summand in the above average is bounded above by 2.

If the summation has one summand x, then the evaluated sum is x.

The second summand is real-differentiable, but does not satisfy the Cauchy-Riemann equations.

Every nonzero direct summand of G is decomposable.

The summation only runs to because we have taken to be proportional to the identity operator, in which case the summand vanishes.

A set is independent in the sum if it can be partitioned into sets that are independent within each summand.

Production of the summands requires a simple AND gate for each summand.

Proof of commutativity can be seen by letting one summand shrink until it is very small and then pulling it along the other knot.

It turns out that it is not always a summand, but it is a pure subgroup.

Again, the summand can be reexpanded.

The function here is an auxiliary function defined via up to a holomorphic summand.

Then xR is a direct summand of Q considered as R-modules.

A semisimple module is one in which each submodule is a direct summand.

The torsion subgroup of an abelian group may not be a direct summand of it.

However, it does preserve the summand, as this is the torsion submodule (equivalently here, the 2-torsion elements).