# Vocabulary Word

**Word:**multiplicity

**Definition:**state of being numerous or multiple; large number; Ex. multiplicity of details; ADJ. multiple: of more than one element

## Sentences Containing 'multiplicity'

"Les Baigneuses", along with other compositions by Gleizes and his fellow Salon Cubists from this period (1911-1912), tend to coordinate a variety of views of the same subject, or a multiplicity (in the Bergsonian sense) of different angles in one picture.

An ancient Hawaiian war-club or spear-paddle, in its full multiplicity and elaboration of carving, is as great a trophy of human perseverance as a Latin lexicon.

Besides what may be called the warehouse rent above mentioned, each person, upon first opening an account with the bank, pays a fee of ten guilders; and for every new account, three guilder's three stivers; for every transfer, two stivers; and if the transfer is for less than 300 guilders, six stivers, in order to discourage the multiplicity of small transactions.

Bézout's theorem asserts that this number is exactly "d", if the points are searched in the projective plane over an algebraically closed field (for example the complex numbers), and counted with their multiplicity.

Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and insights of discrete mathematics to properties of the diatonic collection such as maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity.

Each succeeding level in this structure has as its principal qualities multiplicity and deficiency, and it is this ever-increasing complexity that typifies the material world.

Ere now it has been related how Ahab was wont to pace his quarter-deck, taking regular turns at either limit, the binnacle and mainmast; but in the multiplicity of other things requiring narration it has not been added how that sometimes in these walks, when most plunged in his mood, he was wont to pause in turn at each spot, and stand there strangely eyeing the particular object before him.

ERRADA seeks to contribute to the implementation of reform plans adopted by the government since 2004 through the review of business related regulations and issue recommendations to enhance business environment by resolving the following issues:
multiplicity of complex overlapping regulations; no clarity of valid regulations; absence of a system to identify implicitly repealed decrees; overlap of authorities issuing regulations; inconsistency in regulation drafting cycle across ministries; lack of specific mechanism to study the economic impact of new regulations.

For, to avoid multiplicity of suits, an individual might in one action of trespass recover damages for forty or more trespasses; laying the first to be done, with a "continuance" to the whole time in which the rest of the trespasses were done.

If, for example, we simply look at a curve in the real affine plane there might be singular "P" modulo the stalk, or alternatively as the sum of "m"("m"−1)/2, where "m" is the multiplicity, over all infinitely near singular points "Q" lying over the singular point "P".

In mathematics, a vampire number (or true vampire number) is a composite natural number "v", with an even number of digits "n", that can be factored into two integers "x" and "y" each with "n"/2 digits and not both with trailing zeroes, where "v" contains precisely all the digits from "x" and from "y", in any order, counting multiplicity.

In short, if one consider a plane projection of a non singular curve, that has degree "d" and only ordinary singularities (singularities of multiplicity two with distinct tangents), then the genus is ("d" - 1)("d" - 2)/2 - "k", where "k" is the number of these singularities.

It is called the genus formula.
Singularities may be classified by the triple ["m", δ, "r"], where "m" is the multiplicity, δ is the delta-invariant, and "r" is the branching number.

It is related to δ and "r" by the Milnor-Jung formula,
Another singularity invariant of note is the multiplicity "m", defined as the maximum integer such that the derivatives of "f" to all orders up to "m" vanish.

It showed that it would involve the plaintiff in a multiplicity of suits as to title of lots laid out and being sold; would prevent their sale, and would cloud the title to all its real estate.

Paintings of the Renaissance could not entirely convey these aspects of the world since their subjects were immobilized in a depiction based on one unique point of view; but the real world better corresponds to multiplicity of vision (we have two eyes).

The "Imitatio Christi" may have been translated into as many different languages, and perhaps "Robinson Crusoe" and the "Vicar of Wakefield" into nearly as many, but in multiplicity of translations and editions "Don Quixote" leaves them all far behind.

The maximum is reached by the curves of genus zero whose all singularities have multiplicity two and distinct tangents (see below).

The multiplicity of an intersection point is the multiplicity of the corresponding root.

Thematic Emanation of Archetypal Multiplicity

Thematic Emanation of Archetypal Multiplicity: Soundtracks for Scientists of Occult Synchretism is an EP by French black metal band Blut Aus Nord, but it explores more industrial and avant-garde territory than the group's previous material, foreshadowing the direction the group would take on its 2006 album "MoRT".

There is an intersection point at infinity, if the degree of "q" is lower than the degree of "p"; the multiplicity of such an intersection point at infinity is the difference of the degrees of "p" and "q".

Though the name Einstein was not yet a household word in 1912, there has been a rapprochement of the concept of multiplicity described above and the concept of relativity in the Einsteinian sense.

v. Cheyenne, , was an appeal from the Supreme Court of the Territory of Wyoming regarding a bill charging that the collection of an illegal tax would involve the plaintiff in a multiplicity of suits as to the title of lots being laid out and sold, which would prevent their sale, and which would cloud the title to all his real estate, states a case for relief in equity.

When one changes the coordinates to put the singular point at the origin, the equation of the tangents at the singular point is thus the nonzero homogeneous part of lowest degree of the polynomial, and the multiplicity of the singular point is the degree of this homogeneous part.

# More Vocab Words

::: expenditure - payment or expense; expending; something expended; output; Ex. receipt for the expenditure; Ex. expenditure of all the energy::: monotony - sameness leading to boredom; monotonousness; ADJ. monotonous; CF. monotone

::: desultory - aimless; haphazard; digressing at random

::: modulate - tone down in intensity; change the intensity or tone of; regulate; change from one musical key to another; Ex. modulate from E to G

::: leniency - mildness; permissiveness; ADJ. lenient: not severe in judgment or punishment

::: milieu - social environment; means of expression; Ex. feel out of one's milieu; Ex. His proper milieu is watercolor.

::: addle - make or become confused; muddle; drive crazy; become rotten (egg)

::: dismantle - take apart; disassemble

::: irrefutable - indisputable; incontrovertible; undeniable

::: perceptive - insightful; showing a good ability at perceiving and understanding; aware; wise; of perception