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 ).

* Grimm-Samuel, V On the Mushroom That Deified the Emperor Claudius The Classical Quarterly, New Series, Vol.

* V. Caston, 2011, Alexander of Aphrodisias: On Aristotle On the Soul.

On 15 September of the same year, Afonso V nullified all the laws and edicts approved under the regency.

On 8 November 1273, Andronikos II married Anne of Hungary ( 1260 – 1281 ), daughter of the king Stephen V of Hungary.

On 8 November 1273 Andronikos II married as his first wife Anna of Hungary, daughter of Stephen V of Hungary and Elizabeth the Cuman, with whom he had two sons:

On the death of Louis II in 1417 it reverted to Savoy, and, although Count René again retook the area for Provence in 1471, it had returned to Savoyard dominance by the start of the 16th century, by which point the County of Provence had become united with the Kingdom of France due to the death of Count Charles V in 1481.

Thirty years later, on March 6, 2009, Philips received an IEEE Milestone award with the following citation: " On 8 March 1979, N. V. Philips ' Gloeilampenfabrieken demonstrated for the international press a Compact Disc Audio Player.

On 9 October 1334, he confirmed the privileges granted to Jewish Poles in 1264 by Bolesław V the Chaste.

On reaching the intestinal wall, V. cholerae start producing the toxic proteins that give the infected person a watery diarrhea.

* On February 2, 2000, Philippe Binant, technical manager of Digital Cinema Project at Gaumont in France, realized the first digital cinema projection in Europe with the Texas Instruments mark V prototype projector.

* On the Question of Dialectics, V. I.

* Louis V. King On The Direct Numerical Calculation Of Elliptic Functions And Integrals ( Cambridge University Press, 1924 )

On 5 December 1719, with Philip V fast becoming the common enemy of all Europe, Alberoni was ordered to leave Spain, Elizabeth herself having taken an active part in procuring the decree of banishment.

On the eve of World War II, Soviet archives indicate a combined camp and colony population upwards of 1. 6 million in 1939, according to V. P. Kozlov.

* Aceituno, V., " On Information Security Paradigms ", ISSA Journal, September, 2005.

On 17 April 1934, French Foreign Minister Louis Barthou issued the so-called " Barthou note " which led to concerns on the part of Hitler that the French would ask for sanctions against Germany for violating Part V of the Versailles treaty.

On the right side, the visible portions of the loops are the verticals connecting two rows, arranged in a grid of V shapes.

On 9 April 1555, on the evening of the fourth day of the papal conclave, Cervini was " adored " as Pope, despite efforts by cardinals loyal to the Emperor Charles V to block his election.

On 7 January 1566, Ghislieri was elected to the Papal chair as Pope Pius V. He was crowned ten days later, on his 62nd birthday.

On 4 April 1312, a Crusade was promulgated by Pope Clement V at the Council of Vienne.

On his return to France, he immediately convened an assembly of French and Burgundian bishops at Vienne, where the imperial claim to a traditional lay investiture of the clergy was denounced as heretical and a sentence of excommunication was now pronounced against Henry V on the grounds that he had extorted the Privilegium from Paschal II by means of violence.

On a plot of torque versus runner speed, the torque curve is straight between these two points, ( 0, pQDV < sub > i </ sub >) and ( V < sub > i </ sub >, 0 ).

For example, a PLC might use 24 V DC I / O, with values above 22 V DC representing On, values below 2VDC representing Off, and intermediate values undefined.