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 ).

The singles " So Far Away " and " Price to Play " came with two unreleased tracks, " Novocaine " and " Let It Out ", which were released for the special edition of the group's Chapter V, which came out in late 2005.

Indium antimonide, an example of a high mobility semiconductor, could have an electron mobility above 4 m < sup > 2 </ sup >· V < sup >− 1 </ sup >· s < sup >− 1 </ sup > at 300 K. So in a 0. 25 T field, for example the magnetoresistance increase would be 100 %.

So, for example, the T form might be used when speaking to a friend or social equal, whereas the V form would be used speaking to a stranger or social superior.

So Nederland ( singular ) is used for the modern nation and de Nederlanden ( plural ) for the domains of Charles V. However, in official use the name of the Dutch kingdom is still Kingdom of the Netherlands ( Koninkrijk der Nederlanden ); the plural has not been dropped.

" Henry V is also cited as an example of Protestant purity: " He was a king blest of the King of Kings ./ Unto the French the dreadful judgement day / So dreadful will not be as was his sight ./ The battles of the Lords of Hosts he fought " ( 1. 1. 28 – 31 ).

So whereas King George V of the United Kingdom used an ordinal to distinguish him from other kings in the United Kingdoms called George, his wife, Queen Mary, had no ordinal.

So V cannot have been measurable after all, i. e., the Lebesgue measure λ must not define any value for λ ( V ).

So the values p, q and r are also called the dimensions of the positive-definite, negative-definite and null vector subspaces of the whole vector space V that correspond to the matrix A.

So, I and V have 192 bpm ; II, IIIB, and IV have 128 bpm ; IIIA and C have 85 bpm.

So if V < sub > 1 </ sub >, V < sub > 2 </ sub >, V < sub > n </ sub >… are considered to be the partial volumes of components in the gaseous mixture, then the total volume V would be represented as:

So we can assume that V is contained in the T-invariant subspace A ( G )< sup > λ </ sup > of A ( G ).

They have performed alongside DMX, Africa Bambatta, Guru ( Gang Star ), Fabulous, Rodney P, 57th Dynasty, Out Da Ville, Mobb Deep, Estelle, DJ 279, Tim Westwood, Brother Ben, Immortal Technique, So Solid crew, MSI Asylum, Pentalk, Mike GLC, Skinny Man, De La Soul, Royalists, Chubby Kids, Lyric L, Shabbazz the Disple, Poetic, Freestyle, The Gravediggazz, The A Alikes, Fallacy, Blind Alphabets, Big Daddy Kane, Marley Marl, Jurassic Five, Roc 1, Tiny presents, Graf, BS5, C. O. V, Tubby T, The Villains, Bassman, haertless Crew, Benjamin Zepheniah, Nicky Blackmarket, Ras Kwame, DJ Semtex, Big P and Skeme, 57th Dynasty, amongst others.

The Graham Norton Effect can be considered a spin-off to two previous shows hosted by Norton, including So Graham Norton and V Graham Norton.

So latin Q, W, V, X are equivalent to ukrainian Я ( or Щ sometimes ), В, Ж, Ь.

* So You Want to Be a V. P.

Holsteiners currently competing in FEI eventing include Sundancer ( Sunset Boulevard xx ), ADM. V. Schneider ( Sir Shostakov xx ), So Lonely ( Salient xx ), Master Boy ( Martel xx ), and Coolroy Piter ( Caretino ).

So " on impulse ", after V. E.

So if V < sub > J </ sub > is has complex dimension n ( real dimension 2n ) then

In regards to the capture of King Francis I of France, the decree states " and in the same battle, you accomplished so much that you reached the person of said King ( Francis I of France ) and captured him, jointly with the other persons that captured him .” So, in effect, Charles V credited a group of individuals, and not a single individual, with the capture of King Francis I.