kronecker Synonyms

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kronecker Meaning

Wordnet

kronecker (n)

German mathematician (1823-1891)

kronecker Sentence Examples

  1. The Kronecker delta symbol, often denoted by $\delta_{ij}$, is a mathematical function of two indices $i$ and $j$ that is equal to 1 if $i = j$ and 0 otherwise.
  2. The Kronecker product of two matrices, denoted by $A \otimes B$, is a block matrix whose entries are the products of the corresponding entries of $A$ and $B$.
  3. The Kronecker sum of two matrices, denoted by $A \oplus B$, is a block matrix whose diagonal blocks are the sum of the corresponding diagonal blocks of $A$ and $B$.
  4. The Kronecker coefficients are a set of numbers that arise in the representation theory of the symmetric group.
  5. The Kronecker Jugendtraum is a mathematical conjecture that asserts that any sufficiently large integer can be expressed as the sum of three positive cubes.
  6. The Kronecker limit formula is a formula for the number of ways to represent an integer as the sum of $k$ positive integers.
  7. The Kronecker-Weber theorem is a result in algebraic number theory that states that every abelian extension of the rational numbers is contained in a cyclotomic field.
  8. The Kronecker-Wiman theorem is a result in complex analysis that gives a condition for a function to be entire.
  9. The Kronecker-Weyl theorem is a result in representation theory that gives a necessary and sufficient condition for a representation of a Lie algebra to be semisimple.
  10. The Kronecker-type theorem is a result in linear algebra that gives a necessary and sufficient condition for a matrix to be diagonalizable.

FAQs About the word kronecker

German mathematician (1823-1891)

No synonyms found.

No antonyms found.

The Kronecker delta symbol, often denoted by $\delta_{ij}$, is a mathematical function of two indices $i$ and $j$ that is equal to 1 if $i = j$ and 0 otherwise.

The Kronecker product of two matrices, denoted by $A \otimes B$, is a block matrix whose entries are the products of the corresponding entries of $A$ and $B$.

The Kronecker sum of two matrices, denoted by $A \oplus B$, is a block matrix whose diagonal blocks are the sum of the corresponding diagonal blocks of $A$ and $B$.

The Kronecker coefficients are a set of numbers that arise in the representation theory of the symmetric group.