We have just observed that we can write Af where D is diagonalizable and N is nilpotent, and where D and N not only commute but are polynomials in T.

Compound comparisons typically compare two sets of groups means where one set has two or more groups ( e. g., compare average group means of group A, B and C with group D ).

Doubleday assumed administrative duties in the defenses of Washington, D. C., where he was in charge of courts martial, which gave him legal experience that he used after the war.

This explains the dipole moment of 0. 8 D for this compound ( cis-isomer 0. 4 D ) where a value of zero is expected.

The apartment building in the Scherbinki district of Nizhny Novgorod where A. D. Sakharov lived in exile from 1980 to 1986.

The Volta Laboratory and the Volta Bureau were earlier located at Bell's father's house at 1527 35th Street in Washington, D. C., where its carriage house became their headquarters in 1889.

Stroustrup has a master's degree in mathematics and computer science ( 1975 ) from the University of Aarhus, Denmark, and a Ph. D. in computer science ( 1979 ) from the University of Cambridge, England, where he was a student at Churchill College.

In most areas of the Basque Country, the educational Model D, where all subjects are taught in Basque, except " Spanish language and literature " ( which is taught in Spanish ) is now the predominant model.

“ A visit to the ground has only confirmed me ,” Lucas wrote in 1921 ; “ and it was interesting to find that Mr. Apostolides, son of the large local landowner, the hospitality of whose farm at Tekés I enjoyed, was convinced too that the site was by Driskole Krini, for the very sound reason that neither the hills nor the river further east suit Caesar ’ s description .” John D. Morgan in his definitive “ Palae-pharsalus – the Battle and the Town ”, arguing for a site closer still to Krini, where he places Palaepharsalos, writes: “ My reconstruction is similar to Lucas ’ s, and in fact I borrow one of his alternatives for the line of the Pompeian retreat.

Watterson was born in Washington, D. C., where his father, James G. Watterson ( born 1932 ), worked as a patent examiner while going to George Washington University Law School before becoming a patent attorney in 1960.

In the early 1990s, she worked as an associate at the Washington, D. C .- based law firm of Wilmer Cutler & Pickering where she did civil litigation for several years before becoming an Assistant U. S. Attorney.

In simpler term, Biotechnology is the research and development in the laboratory that involves bioinformatics for exploration, extraction, exploitation and production from any living organisms and any source of biomass by means of biochemical engineering where high value-added products could be planned ( reproduced by Biosynthesis, for example ), fore-casted, formulated, developed, manufactured and marketed for the purpose of sustainable operations ( for the return from bottomless initial investment on R & D ) and gaining durable patents rights ( for exclusives rights for sales, and prior to this to receive national and international approval from the results on animal experiment and human experiment, especially on the pharmaceutical branch of biotechnology to prevent any undetected side-effects on safety concerns by using the products ), for more about the biotechnology industry, see.

After moving from his home in Chicago to Washington, D. C., he set up one of the first home recording studios where he not only recorded the album Bo Diddley Is a Gunslinger but he recorded his valet, Marvin Gaye.

where Fε < sup >- D </ sup > must be the number of units ε required to obtain L. The fractal dimension is the number of the dimensions of the figure being used to approximate the fractal: 0 for a dot, 1 for a line, 2 for a square.

For example " GOOD DOG " can be encrypted as " PLLX XLP " where " L " substitutes for " O ", " P " for " G ", and " X " for " D " in the message.

Annual celebrations also take place in Hong Kong, entitled Canada D ' eh and held on June 30 at Lan Kwai Fong, where an estimated attendance of 12, 000 was reported in 2008 ; in Afghanistan, where members of the Canadian Forces mark the holiday at their base ; and in Mexico, at the American Legion in Chapala, and the Canadian Club in Ajijic.

He earned his master's degree in theater from The Catholic University of America ( CUA ) in Washington, D. C., where he met his first wife, actress Susan Sarandon ; they divorced in 1979.

D. W. attended a one-room schoolhouse where he was taught by his older sister, Mattie Griffith.

The newly christened DEC received $ 70, 000 from AR & D for a 70 % share of the company, and began operations in a Civil War era textile mill in Maynard, Massachusetts, where plenty of inexpensive manufacturing space was available.

Diderot's miscellaneous pieces range from a graceful trifle like the Regrets sur ma vieille robe de chambre ( Regrets for my Old Dressing Gown ) up to Le rêve de D ' Alembert, where he plunges into the depths of the controversy as to the ultimate constitution of matter and the meaning of life.

where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.

where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.

where and denotes the portfolio value at time t.

respectively, where e < sub > x </ sub >, e < sub > y </ sub >, e < sub > z </ sub > denotes the cartesian basis vectors ( all are orthogonal unit vectors ) and A < sub > x </ sub >, A < sub > y </ sub >, A < sub > z </ sub > are the corresponding coordinates, in the x, y, z directions.

where denotes the complex conjugate of.

denotes the rank-one operator that maps the ket to the ket ( where is a scalar multiplying the vector ).

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

where Z denotes J, Y, H < sup >( 1 )</ sup >, or H < sup >( 2 )</ sup >.

where C < sub > α </ sub > denotes I < sub > α </ sub > or e < sup > απi </ sup > K < sub > α </ sub >.

where ε denotes the Levi-Civita symbol, the metric tensor is used to lower the index on F, and the Einstein summation convention implies that repeated indices are summed over.

where denotes the length of a string p.

where J denotes the Jacobian matrix of partial derivatives of ƒ and is the induced norm on the matrix.

for every automorphism φ of G ( where φ ( H ) denotes the image of H under φ ).

where denotes the vector cross product and square brackets denote evaluation in the rotating frame of reference.

This functional relationship is often denoted y = f ( x ), where f denotes the function.

The common notation for the divergence ∇· F is a convenient mnemonic, where the dot denotes an operation reminiscent of the dot product: take the components of ∇ ( see del ), apply them to the components of F, and sum the results.

where the star denotes complex conjugation.

A *( B *( C * D )) where A, B, C, D are partially transparent image layers and "*" denotes a compositing operator ( with the left layer on top of the right layer ).

With this view it turns out that the extractor property is equivalent to: for any source of randomness that gives bits with min-entropy, the distribution is-close to, where denotes the uniform distribution on.

In mathematics and abstract algebra, a group is the algebraic structure, where is a non-empty set and denotes a binary operation called the group operation.

where denotes the largest integer that

where ζ denotes the Riemann zeta function ( see Lehmer ; one approach to prove the inequality is to obtain the Fourier series for the polynomials B < sub > n </ sub >).

where denotes the largest integer that is not greater than x.

where denotes Newton's gravitational constant,