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 ).

* Atlas V ( boat ), a Belgian tug boat used by the resistance in World War I

Francis I of France recognizes Charles's claim to Naples, and Charles V, Holy Roman Emperor, recognizes Francis's claim to Milan.

* Athanasius of Alexandria, History of the Arians Part I Part II Part III Part IV Part V Part VI Part VII Part VIII

The Five articles of Remonstrance that Arminius's followers formulated in 1610 state the above beliefs regarding ( I ) conditional election, ( II ) unlimited atonement, ( III ) total depravity, ( IV ) total depravity and resistible grace, and ( V ) possibility of apostasy.

* 1919 – Eugene V. Debs is imprisoned at the Atlanta Federal Penitentiary in Atlanta, Georgia, for speaking out against the draft during World War I.

* Eudokia Angelina, who married ( 1 ) King Stefan I Prvovenčani of Serbia, then ( 2 ) Emperor Alexios V Doukas, and ( 3 ) Leo Sgouros, ruler of Corinth.

Her half-aunt, the future Queen Isabella I of Castile, was due to inherit the crown, but Afonso V was keen to interfere with the succession in Castile.

Alfonso the Magnanimous KG ( also Alphonso ; ; 1396 – 27 June 1458 ) was the King of Aragon ( as Alfonso V ), Valencia ( as Alfonso III ), Majorca, Sardinia and Corsica ( as Alfonso II ), and Sicily and Count of Barcelona ( as Alfonso IV ) from 1416 and King of Naples ( as Alfonso I ) from 1442 until his death.

* Alfonso V of Aragon ( 1396 – 1458 ), King of Naples as Alfonso I

* Isoforms I, V and VI are most clearly inhibited by Gi, while other isoforms show less dual regulation by the inhibitory G protein.

* C. I. Hamilton, " Selections from the Phinn Committee of Inquiry of October – November 1853 into the State of the Office of Secretary to the Admiralty, in The Naval Miscellany, volume V, edited by N. A. M. Rodger, ( London: Navy Records Society, London, 1984 ).

* Charles V, Holy Roman Emperor ( 1500 – 1558 ), also Charles I of Spain

A simple electric circuit, where current is represented by the letter i. The relationship between the voltage ( V ), resistance ( R ), and current ( I ) is V = IR ; this is known as Ohm's Law.

Charles V strongly favoured a council, but needed the support of King Francis I of France, who attacked him militarily.

Felix Dzerzhinsky ( the Iron Felix ) was appointed as Director and invited the participation of the following individuals: V. K. Averin, V. N. Vasilevsky, D. G. Yevseyev, N. A. Zhydelev, I. K. Ksenofontov, G. K. Ordjonikidze, Ya.

( E ) exhaust camshaft, ( I ) intake camshaft, ( S ) spark plug, ( V ) poppet valve | valve s, ( P ) piston, ( R ) connecting rod, ( C ) crankshaft, ( W ) water jacket for coolant flow.

" Other notable writers who have explored regional and ethnic communities in their detective novels are Harry Kemelman, whose Rabbi Small series were set the Conservative Jewish community of Massachusetts ; Walter Mosley, whose Easy Rawlins books are set in the African American community of 1950s Los Angeles ; and Sara Paretsky, whose V. I. Warshawski books have explored the various subcultures of Chicago.

Ecclesiastical History of England: Book I, Book II, Book III, Book IV, Book V

* Materialism and Empirio-Criticism, V. I.

* On the Question of Dialectics, V. I.

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.

His grandfather, Thomas Francis, founder of the Carignano line of the House of Savoy, was the son of Catherine Michelle – a daughter of Philip II of Spain – and the great-grandson of the Emperor Charles V. But of more immediate consequence to Leopold I was the fact that Eugene was the second cousin of Victor Amadeus, the Duke of Savoy, a connection that the Emperor hoped might prove useful in any future confrontation with France.

* Reynolds, V., Falger, V., & Vine, I.