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 ).

Nelson publicly encouraged this close bond with his officers and on 29 September 1798 described them as " We few, we happy few, we band of brothers ", echoing William Shakespeare's play Henry V. From this grew the notion of the Nelsonic Band of Brothers, a cadre of high-quality naval officers that served with Nelson for the remainder of his life.

From the 1930s to the 1960s, archaeologists like V. Gordon Childe and later John Hamilton regarded them as castles where local landowners held sway over a subject population.

From the various experiments they conducted, the researchers found a correlation between the passage of V. cholerae through the human digestive system and an increased infectivity state.

From the equation for density ( ρ = m / V ), mass density must have units of a unit of mass per unit of volume.

The voltage source V on the left drives a Current ( electricity ) | current I around the circuit, delivering electrical energy into the resistor R. From the resistor, the current returns to the source, completing the circuit.

From September 1520 to August 25 he was the Republic's ambassador to Charles V, with whom Venice was soon at war, instructed to defend the Republic's alliance with Francis I of France.

From Stephen V through the 10th and 11th centuries, the historical notes are extremely abbreviated, usually with only the pope's origin and reign duration.

" Machine Songs V: Pierre Schaeffer: From Research into Noises to Experimental Music ".

From this instant in time, the left terminal of C2 must be charged back up to V < sub > BE_Q1 </ sub >.

Philip IV was the force behind this ruthless move, but it has also tarnished the historical reputation of Clement V. From the very day of Clement V's coronation, the king falsely charged the Templars with heresy, immorality and abuses, and the scruples of the Pope were compromised by a growing sense that the burgeoning French State might not wait for the Church, but would proceed independently.

From the beginning of times, W had in Swedish been considered as a mere decoration of V. In Swedish typography, blackletter ( fraktur ) used W where antiqua used V. With orthographic standardization and spelling reform, W was abandoned except for some family names and a few loan words such as whisky, whist, wienerbröd and wobbler ( also spelled visky and vobbler ).

< imagemap > File: 1970s decade montage. png | From left, clockwise: US President Richard Nixon doing the V for Victory sign after his resignation from office after the Watergate scandal in 1974 ; Refugees aboard a US naval boat after the Fall of Saigon, leading to the end of the Vietnam War in 1975 ; The 1973 oil crisis puts the nation of America in gridlock ; Both the leaders of Israel and Egypt shake hands after the signing of the Camp David Accords in 1978 ; The 1970 Bhola cyclone kills an estimated 500, 000 people in the densely populated Ganges Delta region of East Pakistan in November 1970 ; The Iranian Revolution of 1979 transformed Iran from an autocratic pro-western monarchy to a theocratic Islamist government under the leadership of Ayatollah Ruhollah Khomeini ; The popularity of the disco music genre peaked during the middle to late 1970s .| 420px | thumb

Philip IV was the force behind this ruthless move, but it has also tarnished the historical reputation of Clement V. From the very day of Clement V's coronation, the king falsely charged the Templars with heresy, immorality and abuses, and the scruples of the Pope were compromised by a growing sense that the burgeoning French State might not wait for the Church, but would proceed independently.

From OSF / 1 AXP V2. 0 onwards, UNIX System V compatibility was also integrated into the system.

Nor do I believe that there ever existed so strange a prodigy upon the earth, made up in such a manner of the most various, and different and inconsistent studies and desires. From Cicero's Pro Caelio ( V )

From Edward's death in 1910 until her own death, she was the queen mother, being a dowager queen and the mother of the reigning monarch, George V, though she was more generally styled Her Majesty Queen Alexandra.

Saint Denis Basilica-( From left clockwise ) Gisants Bertrand du Guesclin, Charles VI of France | Charles VI, Isabeau of Bavaria, Louis de Sancerre, Charles V of France | Charles V, Jeanne de Bourbon, Queen of France | Jeanne de Bourbon

From the beginning of 1721, Philip V of Spain, and the Duke of Orléans had been negotiating the project of three Franco-Spanish marriages in order to cement tense relations between Spain and France.

From the perspective of observers on Earth, the Hyades Cluster appears in the constellation Taurus, where its brightest stars form a " V " shape along with the still brighter red giant Aldebaran.

From the example, hit is a child node of V. The terms mother and daughter are also sometimes used for this relationship.

* From Paris With Love ( L. U. V.

From 1539, the heir to the throne was John, Prince of Portugal, who married Joan of Spain, daughter of Charles V. The sole son of John III to survive childhood, Prince John was sickly and died young ( of juvenile diabetes ), eighteen days before his wife gave birth to Prince Sebastian on 20 January 1554.