-
addition are
collectively referred to as the terms, the
addends or the
summands; this
terminology carries over to the
summation of
multiple terms. This...
-
summation is the
addition of a
sequence of numbers,
called addends or
summands; the
result is
their sum or total.
Beside numbers,
other types of values...
- two modules.
Direct sums can also be
formed with any
finite number of
summands; for example, A ⊕ B ⊕ C {\displaystyle A\oplus B\oplus C} ,
provided A...
- of
summands is an
algorithm for fast
binary multiplication of non-signed
binary integers. It is
performed in
three steps:
production of
summands, reduction...
- ∞ a n {\displaystyle \sum _{n=1}^{\infty }a_{n}} . If the
limit of the
summand is
undefined or nonzero, that is lim n → ∞ a n ≠ 0 {\displaystyle \lim...
-
regular sequence on W. Cohen-Macaulayness of
Direct Summands Conjecture. If R is a
direct summand of a
regular ring S as an R-module, then R is Cohen–Macaulay...
- that:(p 198, Thm. 23.14) 1 + ⋯ + 1 ⏟ n
summands = 0 {\displaystyle \underbrace {1+\cdots +1} _{n{\text{
summands}}}=0} if such a
number n exists, and 0...
- last (nth)
summand, n!, is
given a
positive sign, the (n – 1)th
summand is
given a
negative sign, and the
signs of the lower-indexed
summands are alternated...
- In that case, h(P) is a
direct summand of B, h is an
isomorphism from P to h(P), and h f is a
projection on the
summand h(P). Equivalently, B = Im (...
- w} that
minimizes Q ( w ) {\displaystyle Q(w)} is to be estimated. Each
summand function Q i {\displaystyle Q_{i}} is
typically ****ociated with the i {\displaystyle...
