We would write to one another and make a definite plan.

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.

We now write Af where Af are distinct complex numbers.

We write this Af.

We shall write the extension of the spring at a time t as x ( t ).

We see this as diminishing of pressure on the outer shell ( which is used in the ideal gas law ), so we write ( something ) instead of.

When a general said in a meeting " We should throw in a nuke once in a while to keep the other side guessing ," Dyson became alarmed and obtained permission to write an objective report discussing the pros and cons of using such weapons from a purely military point of view.

We write f: x → y to indicate that f is an element of G ( x, y ).

We write gf for, where f ' G ( x, y ), and g ' G ( y, z );

We write for the entry in row, column in matrix with 1 being the first index.

Siege's goal was maximum velocity: " We would listen to the fastest punk and hardcore bands we could find and say, ' Okay, we're gonna deliberately write something that is faster than them '", drummer Robert Williams recalled.

We can then write a many-body wavefunction,

We write it, and it is read " or ".

We write for the substitution of for in, in a capture-avoiding manner.

We often omit p or ‖·‖ and just write V for a space if it is clear from the context what ( semi ) norm we are using.

A subgroup, N, of a group, G, is called a normal subgroup if it is invariant under conjugation ; that is, for each element n in N and each g in G, the element gng < sup >− 1 </ sup > is still in N. We write

We can therefore write the magnetic energy stored in such a cylindrical coil as shown below.

Sondheim said of the project, " two people and what goes into their relationship ... We ’ ll write for a couple of months, then have a workshop.

We can now write simply p = E / c as the relationship between momentum, energy, and speed of light.

We can write the left hand side as:

" We write songs rather than riffs with statements ," Westerberg later stated.

We write the Lagrangian function as

Lloyd George was also helped by John Maynard Keynes to write We can Conquer Unemployment, setting out Keynesian economic policies to solve unemployment.

We can now write,

We may represent any given proposition with a letter which we call a propositional constant, analogous to representing a number by a letter in mathematics, for instance,.

We can use ƒ and g together to compute as close a rational approximation as we like to the real number they represent.

We will represent these as strings such as " Person " and " name " and we will usually use the variables and to range over them.

Dzerzhinsky said: " We represent in ourselves organized terror – this must be said very clearly.

We could associate an algebra to our geometry using a Cartesian coordinate system made of two lines, and represent points of our plane by vectors.

We will create three vectors to represent colors.

" We are leaving open the option to extend membership to seven at some point depending on the need to represent additional interests within the communities.

: We proudly represent ;

We want to be a bridge between white rock and black soul ", adding that, " I want Culture Club to represent all peoples and minorities ".

Hall & Oates covered Elton John's " Philadelphia Freedom " on the 1991 John / Taupin tribute album " Two Rooms ", saying in the booklet, " We chose ' Philadelphia Freedom ' because the music is so close to our hearts, and the lyrics represent the way we feel about Philadelphia.

We can develop statistical indicators of trends, without mistakenly conflating data with the real thing they represent, or postulating " perfect measurements or perfect data " in the empiricist manner.

We use a stochastic matrix to represent the transition probabilities of this system,

We should note that games like coin toss with no house edge are not played in a commercial casino and thus represent a limiting case.

We represent the surface by the implicit function theorem as the graph of a function, f, of two variables, in such a way that the point p is a critical point, i. e., the gradient of f vanishes ( this can always be attained by a suitable rigid motion ).

We can represent this directed edge by.

A telephone message claiming to represent Islamic Jihad proclaimed: " We are responsible of the assassination of the president of AUB ... We also vow that not a single American or French will remain on this soil.

We expect MPs to live by the same rules and standards as those they wish to represent.

We are more concerned with the mass of Catholic voters in Germany than in the Catholic deputies who represent them in the Reichstag.

If we divide the octave into n parts, where n = rs is the product of two relatively prime integers r and s, we may represent every element of the tone space as the product of a certain number of " r " generators times a certain number of " s " generators ; in other words, as the direct sum of two cyclic groups of orders r and s. We may now define a graph with n vertices on which the group acts, by adding an edge between two pitch classes whenever they differ by either an

We may represent the modulatory space of a such a temperament as n chains of generators in a circle, forming a cylinder.

Suppose that the data is generated by some unknown process f. We consider two candidate models to represent f: g < sub > 1 </ sub > and g < sub > 2 </ sub >.

Despite the efforts of the post-1945 Macedonian historiography to represent Delchev as a Macedonian separatist rather than a Bulgarian nationalist, Delchev himself has stated: "... We are Bulgarians and and all suffer from one common disease the Ottoman rule " and " Our task is not to shed the blood of Bulgarians, of those who belong to the same people that we serve ".

Clemmer writes, “ Altogether, the publications released between 1949 and 1953 represent nearly the entire gamut of Steward ’ s broad range of interests: from cultural evolution, prehistory, and archaeology to the search for causality and cultural “ laws ” to area studies, the study of contemporary societies, and the relationship of local cultural systems to national ones ( Clemmer 1999: xiv ).” We can clearly see that Steward ’ s diversity in subfields, extensive and comprehensive field work and a profound intellect coalesce in the form of a brilliant anthropologist.