Consistent Relations

(a) The easiest thing to do is to apply the algorithm from the lecture: take the matrix (A | I) and bring it to the reduced row echelon form; for an invertible matrix A, the result

The winding number of a closed curve around a given point is an integer representing the total number of times that curve travels anti-clockwise around the point.. The sign of

The proof presented by Daniel Matthews blends together an interesting mix of ingredients, group theory, linear algebra and complex numbers to arrive at a rather surprising result..

Finally we show that an averaged strong form of Goldbach’s conjecture is equivalent to the Generalized Riemann Hypothesis; as well as a similar equivalence to estimates for the

Suppose that given x > 49 and using Sieve I we have a way to compute the number of permitted k-tuples whose indices lie in [1, x]; then, we could prove the main theorem

Thus for example the first result says that Szpiro’s conjecture implies Lang’s conjecture for elliptic curves, whereas the second says that Lang-Silverman’s conjecture is true

Suppose R is a right noetherian, left P-injective, and left min-CS ring such that every nonzero complement left ideal is not small (or not singular).. Then R

In the post task questionnaire, participants using the baseline interface were asked to indicate the usefulness of the book-bag in general while participants