Sentence examples for of represented by from inspiring English sources

Consider the following subset of the complex projective space : where [z] denotes the point of represented by.

Consider the following real Levi non-degenerate hyperquadric in the complex projective space : where [z] denotes the point of represented by.

To get a polynomial reduction in the other direction we consider any element g of represented by a word w of length ({le } n) in (G( MM _k)).

For example, if I is the ideal in generated by the germs of, then is a complex Artinian Gorenstein algebra with and spanned by the element of represented by the germ of z 1 z 2. We now assume that the field k has characteristic zero and consider the exponential map.

They also have Robinson Cano, who is kind of represented by Jay-Z.

The uncertainty of, represented by Var, directly relates to the safety standard of the substance being investigated.

His godparents were Charles IX of France (represented by John, Count of Brienne), Elizabeth I of England (represented by the Earl of Bedford), and Emmanuel Philibert, Duke of Savoy (represented by ambassador Philibert du Croc).

Nina Totenberg of NPR (represented by Floyd Abrams and Tim Phelpss of Newsday (represented by Ted Olson) cited the First Amendment and refused to identify sources.

Franklin Delano Roosevelt and Winston Churchill took advantage of the threat of evil represented by Germany and Japan to draw America into World War II.

The federal commission filed the complaint on behalf of a class of employees represented by the 10 men.

After all, the US has accumulated experience with the very different kind of banking represented by thousands of workplace and community credit unions.