Kronecker in a sentence

Construction similar to the Kronecker Product There is a method reminiscent of the Kronecker product of two matrices, that builds an nm × nm magic square from an n × n magic square and an m × m magic square.

Setting aside the animosity Kronecker had displayed towards him, Cantor invited him to address the meeting, but Kronecker was unable to do so because his wife was dying from injuries sustained in a skiing accident at the time.

At the same time, there was growing opposition to Cantor's ideas, led by Kronecker, who admitted mathematical concepts only if they could be constructed in a finite number of steps from the natural numbers, which he took as intuitively given.

By taking Kronecker products of this representation with itself repeatedly, one may construct all higher irreducible representations.

Criticism of his work weighed on his mind: every one of the fifty-two letters he wrote to Mittag-Leffler in 1884 mentioned Kronecker.

Dedekind supported it, but delayed its publication due to Kronecker's opposition.

For instance the Strassen algorithm may be used for polynomial multiplication citation Alternatively the Kronecker substitution technique may be used to convert the problem of multiplying polynomials into a single binary multiplication. citation.

For Kronecker, Cantor's hierarchy of infinities was inadmissible, since accepting the concept of actual infinity would open the door to paradoxes which would challenge the validity of mathematics as a whole.

He eventually sought, and achieved, a reconciliation with Kronecker.

Henri Poincaré was one of its advocates, as was Leopold Kronecker who summarized "God made the integers, all else is the work of man".

However it is actually the Kronecker tensor product of the adjacency matrices of the graphs.

Indeed, Hilbert would lose his "gifted pupil" Weyl to intuitionism — "Hilbert was disturbed by his former student's fascination with the ideas of Brouwer, which aroused in Hilbert the memory of Kronecker".

In particular, letting in turn each one of those coefficients be equal to one and the other coefficients zero, gives the system of equations : where is the Kronecker delta symbol.

Kronecker objected to Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included in a standard mathematics curriculum.

Leopold Kronecker famously stated "God made the integers; all else is the work of man," endorsing a return to the study of finite, concrete objects in mathematics.

Leopold Kronecker has shown that this version requires the least number of steps of any version of Euclid's algorithm.

Others have very different names (outer product, tensor product, Kronecker product) but convey essentially the same idea.

Then, the matrix describing the tensor product S ⊗ T is the Kronecker product of the two matrices.

The outer product is simply the Kronecker product, limited to vectors (instead of matrices).

The subject has received later contributions at the hands of Weierstrass, Kronecker (Crelle, 101), and Méray.