# Vocabulary Word

**Word:**summation

**Definition:**act of finding the total; summing-up; summary (esp. one given by the judge at the end of a trial)

## Sentences Containing 'summation'

It may be calculated using the following formula (written using Einstein summation convention):
Here formula_2 describe the indices of coordinates formula_3 of the submanifold while the functions formula_4 encode the embedding into the higher-dimensional manifold whose tangent indices are denoted formula_5.

The quantity εαβγδ is the Levi-Civita symbol, and the indices (as usual) behave according to the Einstein summation convention.

In mathematics, σ-approximation adjusts a Fourier summation to eliminate the Gibbs phenomenon which would otherwise occur at discontinuities.

The general field ψ("x") is now seen to be a weighed (by the energy factor) summation over all possible spins and momenta for creating fermions and antifermions.

Its conjugate field, formula_12, is the opposite, a weighted summation over all possible spins and momenta for annihilating fermions and antifermions.

They arise from the summation of the individual actions of ligand-gated ion channel proteins, and decrease over time and space.

The probability distribution of the system as a whole then factorises into the product of "N" separate identical terms, one term for each particle; and the Gibbs entropy simplifies to the Boltzmann entropy
where the summation is taken over each possible state in the 6-dimensional phase space of a "single" particle (rather than the 6"N"-dimensional phase space of the system as a whole).

If formula_14 is a universal family with the uniform difference property, the following family (dating back to Carter and Wegman) also has the uniform difference property (and hence is universal):
If formula_2 is a power of two, one may replace summation by exclusive or.

The sum of these plane waves gives the time-domain seismic signal,
This summation is referred to as the imaging condition, as in seismic migration.

Euler summation):
The series only appeared in an Appendix to Hasse's paper, and did not become generally known until it was rediscovered more than 60 years later (see Sondow, 1994).

In total summation, "Totem" utilizes 65 tractor-trailer sized containers to transport its of equipment from site to site.

Her one-woman show, "Elaine Stritch at Liberty", a summation of her life and career, premiered at New York's Public Theater, running from November 7 to December 30, 2001.

In his summation, Marsh points out that "'East-West' can be heard as part of what sparked the West Coast's rock revolution, in which such song structures with extended improvisatory passages became commonplace."

In summation, "This was a Trojan War for our time, a tale of intimate, everyday human weakness; they sought 'the life of quietness', while knowing their desire was destroying it."

This yields
The summation over neighboring spins can be rewritten as formula_29 where formula_30 means 'nearest-neighbor of formula_31' and the formula_32 prefactor avoids double-counting, since each bond participates in two spins.

Two genetic assumptions used in ICIM are (1) the genotypic value of an individual is the summation of effects from all genes affecting the trait of interest; and (2) linked QTL are separated by at least one blank marker interval. Under the two assumptions, they proved that additive effect of the QTL located in a marker interval can be completely absorbed by the regression coefficients of the two flanking markers, while the QTL dominance effect causes marker dominance effects, as well as additive by additive and dominance by dominance interactions between the two flanking markers.

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