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.

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

These nodes are areas where the action potential is amplified using a high density of sodium ( Na < big >+</ big >) ions and is subsequently passed along the axon.

where is the acoustic pressure and is the acoustic fluid velocity vector, is the vector of spatial coordinates, is the time, is the static mass density of the medium and is the bulk modulus of the medium.

where is the mass density of the fluid and is the fluid velocity.

The exception is very near absolute zero, where the density of adiabats drops sharply and they become rare ( see Nernst's theorem ).

In cases where the density of the air is significantly different from the calibration value ( as on a high mountain, or with an exceptionally low barometer ) an allowance must be made.

Population density also has a major impact, where dense urbanisation such as in Japan and the far east has led to the adoption of high capacity long multi-axle buses, often double-deckers, while South America and China are implementing large numbers of articulated buses for bus rapid transit schemes.

Furthermore, it describes how the density of states is changed on entering the superconducting state, where there are no electronic states any more at the Fermi energy.

where is the difference in density of particles separated by a height difference of, is Boltzmann's constant ( namely, the ratio of the universal gas constant,, to Avogadro's number, ), and is the absolute temperature.

CNTs are readily aligned in a high density geometry ( i. e., a vertically aligned forest ) but lack high charge density surfaces — the sidewalls of the CNTs are similar to the basal plane of graphene and exhibit low charge density except where edge defects exist.

Population density figures conceal a great disparity between the republic's most crowded island, Nzwani, which had a density of 470 persons per square kilometer in 1991 ; Ngazidja, which had a density of 250 persons per square kilometer in 1991 ; and Mwali, where the 1991 population density figure was 120 persons per square kilometer.

where I is current in the conductor, J is the current density, and A is the cross-sectional area.

The density of the cane toad is significantly lower within its native distribution than in places where it has been introduced.

In the nonrelativistic case, electron degeneracy pressure gives rise to an equation of state of the form, where P is the pressure, is the mass density, and is a constant.

Assuming that the strength of the cable is proportional to its density per unit length, the weight, w, per unit length of the chain can be written T / c, where c is constant, and the analysis for nonuniform chains can be applied.

The total cross-section is related to the absorbance of the light intensity through Beer-Lambert's law, which says absorbance is proportional to concentration:, where C is the concentration as a number density, A < sub > λ </ sub > is the absorbance at a given wavelength λ, and is the path length.

The plasma pressure can be calculated by the state equation of a perfect gas, where is the particle number density, the Boltzmann constant and the plasma temperature.

** Normal dynamics, is a stochastic motion having a Gaussian probability density function in position with variance MSD that follows, MSD ~ t, where MSD is the mean squared displacement of the process, and t is the time the process is seen ( normal dynamics and Brownian dynamics are very similar ; the term used depends on the field )

where ρ is the density, m is the mass, and V is the volume.

In the limit of an infinitesimal volume the density of an inhomogeneous object at a point becomes:, where is an elementary volume at position.

where is the density at a reference temperature, is the thermal expansion coefficient of the material.