He wore tennis shorts and a white sweater with a red V at the neck, the sleeves pushed above the elbows.

Blood dripped down the front of his sweater, soaking into a dark streak of dirt that ran diagonally across the white wool on his shoulder, as though the bright V woven into the neckline had melted, running a darker color.

The battle of the drib-drool continues, but most of New York's knowing sophisticates of Abstract Expressionism are stamping their feet impatiently in expectation of V ( for Vindication ) Day, September first, when Augustus Quasimodo's first one-man show opens at the Guggenheim.

At 100 Amp the 360 cycle ripple was less than 0.5 V ( peak to peak ) with a resistive load.

We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.

Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.

On the other hand, the null space of Af and the null space of Af together span V, the former being the subspace spanned by Af and the latter the subspace spanned by Af and Af.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Let N be a linear operator on the vector space V.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.

Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.

In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.

Let us now regard D as a linear operator on the subspace V.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

In the C-plane we construct a set of rectangular Cartesian coordinates u, V with the origin at Q and such that both C and Af have finite slope at Q.

The photocathode sensitivities S, phosphor efficiencies P, and anode potentials V of the individual stages shall be distinguished by means of subscripts 1, and 2, in the text, where required.

The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).

* Gordon V. Childe, Man Makes Himself ( free interpretation of Marx's idea )

Even earlier than this collection, it is referred to by Procopius of Gaza ( c. 465-528 ), and Methodius appeals to Justin in support of his interpretation of 1 Corinthians 15: 50 in a way which makes it natural to assume the existence of a treatise on the subject, to say nothing of other traces of a connection in thought both here, in Irenaeus ( V., ii .- xiii.

The interpretation of Bradford's law in terms of a geometric progression was suggested by V. Yatsko who introduced an additional constant and demonstrated that Bradford distribution can be applied to a variety of objects, not only to distribution of articles or citations across journals.

M. K. V. Narayan distinguishes the Siva-linga from anthropomorphic representations of Siva, and notes its absence from Vedic literature, and its interpretation as a phallus in Tantric sources.

In 1957, he solved a particular interpretation of Hilbert's thirteenth problem ( a joint work with his student V. I. Arnold ).

In 1552 Charles V, Holy Roman Emperor, appointed him professor of scriptural interpretation in the university.

The physical interpretation is that V ( x ) is the energy in the system, whereas u · y is the energy that is supplied to the system.

For those we can assume an interpretation as an endomorphism of an n-dimensional space V ; the block structure in which the bunching of rows and columns is the same is of importance because it corresponds to having a single direct sum decomposition on V ( rather than two ).

The second part describes the social, physical, and psychological barriers impeding man ’ s ability to faithfully interpret the world ; “ Chapter II: Censorship and Privacy ”; “ Chapter III: Contact and Opportunity ”; “ Chapter IV: Time and Attention ”; and “ Chapter V: Speed, Words, and Clearness ” describe how, for a given event, all of the pertinent facts are never provided completely and accurately ; how, as a fraction of the whole, they often are arranged to portray a certain, subjective interpretation of an event.

This interpretation was however debated by V. C.

's attempts to learn human behavior, V. I. C. I's literal interpretation of speech and the family's efforts to disguise the robot's true nature.

Soviet physicists, such as K. V. Nikolskij and D. Blokhintzev, developed a version of the statistical interpretation of quantum mechanics, which was seen as more adhering to the principles of dialectical materialism.

In a molecular interpretation, S is the logarithm of the phase space volume of all gas states with energy E ( T ) and volume V.

* Janssen, Theo M. V. ' Independent choices and the interpretation of IF logic.

As the ion will travel from the tip at voltage V < sub > 1 </ sub > to some nominal ground potential, the speed at which the ion is travelling can be estimated by the energy transferred into the ion during ( or near ) ionisation.

( Indeed, every production of a context free grammar is of the form V → w where V is a single nonterminal symbol, and w is a string of terminals and / or nonterminals ( w can be empty )).

where V is a single nonterminal symbol, and w is a string of terminals and / or nonterminals ( w can be empty ).

In mathematics, any vector space, V, has a corresponding dual vector space ( or just dual space for short ) consisting of all linear functionals on V. Dual vector spaces defined on finite-dimensional vector spaces can be used for defining tensors.

In a later period, Husserl began to wrestle with the complicated issues of intersubjectivity, specifically, how communication about an object can be assumed to refer to the same ideal entity ( Cartesian Meditations, Meditation V ).

For example, an endomorphism of a vector space V is a linear map ƒ: V → V, and an endomorphism of a group G is a group homomorphism ƒ: G → G. In general, we can talk about endomorphisms in any category.

where E < sub > cell </ sub > is the cell potential measured in volts ( V ) and C < sub > trans </ sub > is the cell current integrated over time and measured in coulombs ( C ); C < sub > trans </ sub > can also be determined by multiplying the total number of electrons transferred ( measured in moles ) times Faraday's constant ( F ).

Cubic equations of state are called such because they can be rewritten as a cubic function of V < sub > m </ sub >.

With the reduced state variables, i. e. V < sub > r </ sub >= V < sub > m </ sub >/ V < sub > c </ sub >, P < sub > r </ sub >= P / P < sub > c </ sub > and T < sub > r </ sub >= T / T < sub > c </ sub >, the reduced form of the Van der Waals equation can be formulated:

With this expression one can, in principle, determine the enthalpy if C < sub > p </ sub > and V are known as functions of p and T.

The shape of the neck can also vary, from a gentle " C " curve to a more pronounced " V " curve.

This information can be phrased abstractly by letting O ( X ) be the category whose objects are the open subsets U of X and whose morphisms are the inclusion maps V → U of open sets U and V of X.

The seeds of heraldic structure in personal identification can be detected in the account in a contemporary chronicle of Henry I of England, on the occasion of his knighting his son-in-law Geoffrey V, Count of Anjou, in 1127.

Points x and y in a topological space X can be separated by neighbourhoods if there exists a neighbourhood U of x and a neighbourhood V of y such that U and V are disjoint ().

Its value is not cleared during a hardware reset, so it can maintain a constant ' Value ', hence " V ".

According to the study, any surface can be modified to this effect by application of a suspension of rose-like V < sub > 2 </ sub > O < sub > 5 </ sub > particles, for instance with an inkjet printer.