* G — Games played: number of games where the player played, in whole or in part

A binary relation R is usually defined as an ordered triple ( X, Y, G ) where X and Y are arbitrary sets ( or classes ), and G is a subset of the Cartesian product X × Y.

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.

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.

" This anecdote is briefly discussed in G. Waldo Dunnington's Gauss, Titan of Science where it is suggested that it is an apocryphal story.

In view of the success of her novels, particularly Jane Eyre, Charlotte was persuaded by her publisher to visit London occasionally, where she revealed her true identity and began to move in a more exalted social circle, becoming friends with Harriet Martineau and Elizabeth Gaskell, and acquainted with William Makepeace Thackeray and G. H. Lewes.

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

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.

:# Mark the points E, F, G, H, where each tangent line meets the adjacent tangent.

It is now estimated that 1 % to 1. 5 % of sunlike stars possess such a planet, where " sunlike star " refers to any main-sequence star of spectral classes late-F, G, or early-K without a close stellar companion.

This leaves only the case where G has a vertex of degree 5 ; but Kempe's argument was flawed for this case.

One can compose functors, i. e. if F is a functor from A to B and G is a functor from B to C then one can form the composite functor G ∘ F from A to C. Composition of functors is associative where defined.

In addition, the entire field of synthetic biology began with researchers such as Erik T. Kool, where bases other than A, C, T and G are used in a synthetic DNA.

The resulting quotient is written, where G is the original group and N is the normal subgroup.

( This is pronounced " G mod N ," where " mod " is short for modulo.

The first isomorphism theorem states that the image of any group G under a homomorphism is always isomorphic to a quotient of G. Specifically, the image of G under a homomorphism is isomorphic to where ker ( φ ) denotes the kernel of φ.

Given two groups G and H and a group homomorphism f: G → H, let K be a normal subgroup in G and φ the natural surjective homomorphism G → G / K ( where G / K is a quotient group ).

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.

:* Nanotechnology – rigorously, the study of materials where the effects of quantum confinement, the Gibbs – Thomson effect, or any other effect only present at the nanoscale is the defining property of the material ; but more commonly, it is the creation and study of materials whose defining structural properties are anywhere from less than a nanometer to one hundred nanometers in scale, such as molecularly engineered materials.

From there, she would travel northeast to Sandtown and Willow Grove, Delaware, and onto the Camden area where free black agents, William and Nat Brinkley and Abraham Gibbs, guided her north past Dover, Smyrna, and Blackbird, where other agents would take her across the Chesapeake and Delaware Canal to New Castle and Wilmington.

After a three-year sojourn in Europe, Gibbs spent the rest of his career at Yale, where he was professor of mathematical physics.

After his term as tutor ended, Gibbs travelled to Europe with his sisters, spending the winter of 1866 – 67 in Paris, where he attended lectures at the Sorbonne and the Collège de France.

The Gibbs free energy G = H − TS, where H is the enthalpy.

where ΔG < sup >‡</ sup > is the Gibbs free energy of activation, k < sub > B </ sub > is Boltzmann's constant, and h is Planck's constant.

Burlington's first project, appropriately, was his own London residence, Burlington House, where he dismissed his baroque architect James Gibbs when he returned from the continent in 1719 and employed the Scottish architect Colen Campbell, with the history-painter-turned-designer William Kent for the interiors.

The Gibbs energy is related to the entropy by, where H is

According to the IUPAC definition, it is the partial molar Gibbs energy of the substance at the specified electric potential, where the substance is in a specified phase.

* Georgia Gibbs leaves Coral to sign with Mercury, where she will experience all of her biggest hits.

This is related to the Gibbs phenomenon, where fourier series for functions that vary rapidly in space are not good approximations unless a very large number of terms in the series are retained.

where H is the enthalpy, T the absolute temperature and G the Gibbs free energy of the system, all at constant pressure p. The equation states that the change in the G / T ratio at constant pressure as a result of an infinitesimally small change in temperature is a factor H / T < sup > 2 </ sup >.

Some sort of reversible-jump variant is also needed when doing MCMC or Gibbs sampling over nonparametric Bayesian models such as those involving the Dirichlet process or Chinese restaurant process, where the number of mixing components / clusters / etc.

The hijackers never reveal to anyone Gibbs ' true identity, to the point where they also tie him up along with President Marshall, Major Caldwell, and Chief of Staff Lloyd Shepherd.

In 2007, McCarthy guided the Packers to an 8-1 record in the first 9 games of the 2007 season, McCarthy recorded the best won-loss ratio to start the first 25 games of a career among active coaches, setting the record for the best coaching start in Packers ' history ( Vince Lombardi went 15-10 ) and tying Washington's Joe Gibbs at 16-9, McCarthy led the Packers to a 13-3 record and made it to the NFC Championship game, where they lost to the eventual Super Bowl-winning New York Giants in overtime.

This is most commonly encountered in spinal MR imaging, where the Gibbs phenomenon may simulate the appearance of syringomyelia.

If, next to fluctuations of the energy, the macroscopic dimensions ( volume ) of the system are left fluctuating, we use the Gibbs free energy ( G = U + PV-TS ), where the system's properties are determined both by the temperature and by the pressure.

An exergonic reaction is a chemical reaction where the change in the Gibbs free energy is negative, indicating a spontaneous reaction.

He was awarded a Gibbs scholarship to read modern history at Balliol College, Oxford where he graduated with a First.

In a galvanic cell, where a spontaneous redox reaction drives the cell to produce an electric potential, Gibbs free energy ΔG ° must be negative, in accordance with the following equation:

The practical value of Gaulard and Gibbs ' transformer was demonstrated in 1884 at Turin where the transformer was used to light up forty kilometres ( 25 miles ) of railway from a single alternating current generator.

Gibbs retired to a former rectory in Wiltshire, where his pastimes were shooting, hunting with the Beaufort, and painting.

where m denotes molar i. e. change in Gibbs free energy per mole of solution, and is the mole fraction of component.