Collective meaning: Truth signifies a body or multiplicity true propositions or judgments ( e. g. the biblical truth ).

Beyond more advanced modalities may apply when not only single entities are addressed, but also clusters of entities that work in a coherence of context, as e. g. teams at work or also single bearers with a multiplicity of appliances.

We define ( r, f ) in the same way as N ( r, f ) but without taking multiplicity into account ( i. e. we only count the number of distinct poles ).

To see this, notice that if is orthogonal to the vector which was used to create the reflector, then, i. e., 1 is an eigenvalue of multiplicity, since there are vectors orthogonal to.

In general, the multiplicity of this product ( i. e., the dimension of the scheme ) is called the rank of the torus, and it is a locally constant function on S.

This result only holds under some technical conditions, namely that be twice continuously differentiable and the root in question be simple ( i. e., with multiplicity 1 ).

If and, i. e.,, then this point has a single tangent line to γ passing through it ( this corresponds to the cubic having one real root of multiplicity 3 ).

Classical branching rules describe the restriction of an irreducible representation ( π, V ) of a classical group G to a classical subgroup H, i. e. the multiplicity with which an irreducible representation ( σ, W ) of H occurs in π.

Each eye care professional can typically be categorized into one or a multiplicity ( i. e. an ophthalmologist can perform surgery ; and in some instances prescribe lenses, which is a duty often performed by optometrists ) of duties of the following types of professionals:

** Color-preserving isomorphism of colored graphs with bounded color multiplicity ( i. e., at most k vertices have the same color for a fixed k ) is in class NC, which is a subclass of P.

The geometric multiplicity of an eigenvalue is defined as the dimension of the associated eigenspace, i. e. number of linearly independent eigenvectors with that eigenvalue.

However, the addressee is rather a multiplicity of others, a complex web of invisible others, whose presence can be traced in the content, flow and expressive elements of the utterance ( e. g., I ’ m directly addressing you but while speaking I ’ m protesting to a third person who is invisibly present in the conversation ).

If the real polynomial P has k real positive roots counted with multiplicity, then for every a > 0 there are at least k changes of sign in the sequence of coefficients of the Taylor series of the function e < sup > ax </ sup > P ( x ).

Jews, Protestants, and Catholics all use the Masoretic text as the textual basis for their translations of the protocanonical books ( those which are received by both Jews and all Christians ), with various emendations derived from a multiplicity of other ancient witnesses ( such as the Septuagint, the Vulgate, the Dead Sea Scrolls, etc.

A minority Jewish view, which appears in some codes of Jewish law, is that while Christian worship is polytheistic ( due to the multiplicity of the Trinity ), it is permissible for them to swear in God's name, since they are referring to the one God.

Since there are only four distinct eigenvalues for this matrix, they have some multiplicity.

" " Ideas are not concepts ," he explains, but rather " a form of eternally positive differential multiplicity, distinguished from the identity of concepts.

Low temperature, starvation of the cells and high multiplicity of infection ( MOI ) are known to favor lysogeny ( see later discussion ).

Then, the electrons to be placed in the molecular orbitals are slotted in one by one, keeping in mind the Pauli exclusion principle and Hund's rule of maximum multiplicity ( only 2 electrons, having opposite spins, per orbital ; place as many unpaired electrons on one energy level as possible before starting to pair them ).

By way of contrast to Hobbes's multiplicity of laws, Cumberland states in the very first sentence of his Treatise of the Laws of Nature that " all the Laws of Nature are reduc'd to that one, of Benevolence toward all Rationals.

The word “ pear ”, or its equivalent, occurs in all the Celtic languages, while in Slavic and other dialects, differing appellations, still referring to the same thing, are found — a diversity and multiplicity of nomenclature which led Alphonse de Candolle to infer a very ancient cultivation of the tree from the shores of the Caspian to those of the Atlantic.

This multiplicity of theories, some of them very colourful, are often called the " mystery of Stonehenge ".

Most often the connections are made by reference to shared formal characteristics: faceting of form, spatial ambiguity, transparency, and multiplicity.

The multiplicity of vulcanization effects demanded cannot be achieved with one universal substance ; a large number of diverse additives, comprising the " cure package ," are necessary.

There are inherent difficulties in making X-ray / optical, X-ray / radio, and X-ray / X-ray identifications based solely on positional coincidents, especially with handicaps in making identifications, such as the large uncertainties in positional determinants made from balloons and rockets, poor source separation in the crowded region toward the galactic center, source variability, and the multiplicity of source nomenclature.

Any poles and zeros on the imaginary axis are simple ( have a multiplicity of one ).

For example, in the state of Victoria, Australia, land use zones are combined with a system of planning scheme overlays to account for the multiplicity of factors that impact on desirable urban outcomes in any location.

If P is a common point of two plane algebraic curves X and Y that is a non-singular point of both of them and, moreover, the tangent lines to X and Y at P are distinct then the intersection multiplicity is one.

To this end, the PSU seeks to foster an environment in which students are exposed to a multiplicity of perspectives.

" in order to illustrate how in this first principle are combined unity and multiplicity, perfect simplicity with the most contradictory attributes, we are referred to the Greek letter ι, the single stroke of which represents units ; and which also represents the number ten.

In 1661 the celebrated Fiat Lux, a work by the Franciscan monk John Vincent Cane, was published ; in it, the oneness and beauty of Roman Catholicism are contrasted with the confusion and multiplicity of Protestant sects.

It is not until they enter the fifth valley that they realize that unity and multiplicity are the same.

* gcd ( m, n ) ( greatest common divisor of m and n ) is the product of all prime factors which are both in m and n ( with the smallest multiplicity for m and n ).

Most multiple star systems known are triple ; for higher multiplicities, the number of known systems with a given multiplicity decreases exponentially with multiplicity.

In Lyotard's works, the term ' language games ', sometimes also called ' phrase regimens ', denotes the multiplicity of communities of meaning, the innumerable and incommensurable separate systems in which meanings are produced and rules for their circulation are created.

The number of ordinary values of the function f{t} at T will be called its multiplicity at T.

A number a is a root of P if and only if the polynomial x − a ( of degree one in x ) divides P. It may happen that x − a divides P more than once: if ( x − a )< sup > 2 </ sup > divides P then a is called a multiple root of P, and otherwise a is called a simple root of P. If P is a nonzero polynomial, there is a highest power m such that ( x − a )< sup > m </ sup > divides P, which is called the multiplicity of the root a in P. When P is the zero polynomial, the corresponding polynomial equation is trivial, and this case is usually excluded when considering roots: with the above definitions every number would be a root of the zero polynomial, with undefined ( or infinite ) multiplicity.

* a < sub > 0 </ sub >( n )-the sum of primes dividing n counting multiplicity, sometimes called sopfr ( n ), the potency of n or the integer logarithm of n.

The multiplicity of a prime which does not divide n may be called 0 or may be considered undefined.

* A powerful number ( also called squareful ) has multiplicity above 1 for all prime factors.

* m is a divisor of n ( also called m divides n, or n is divisible by m ) if all prime factors of m have at least the same multiplicity in n.

In number theory, a natural number is called k-almost prime if it has exactly k prime factors, counted with multiplicity.

There is a unique function assigning to each triplet ( P, Q, p ) consisting of a pair of polynomials, P and Q, in K and a point p in K < sup > 2 </ sup > a number I < sub > p </ sub >( P, Q ) called the intersection multiplicity of P and Q at p that satisfies the following properties:

He wrote, " Therefore the multiplicity of sects, falsely called churches, are not God ’ s church.

The counting is subject to an imputed multiplicity at a fixed point called the fixed point index.

He is leading the effort of a large consortium of stations called BinAst to look for multiplicity in the NEA and inner main-belt populations.

Otherwise E is a set of multiplicity ( sometimes called an M-set or a Menshov set ).

The smaller detectors have larger pseudorapidity coverage, PHOBOS has the largest pseudorapidity coverage of all detectors, and tailored for bulk particle multiplicity measurement, while BRAHMS is designed for momentum spectroscopy, in order to study the so called " small-x " and saturation physics.

is called the multiplicity of.

These punctures are called vortices and if γ is a closed path which only winds once counterclockwise around the puncture and its winding number about any other puncture is zero, then the integer multiplicity can be attached to the vortex itself.