Mathematiker

When is a cycle graph bipartite?

Continuous function on closed interval is bounded proof

Composition of continuous functions on interval is continuous

Using known limits and substition to solve a limit

Substitution on limit calculation (limit without using derivation)

Dimension of product of matrices is smaller or equal to the dimension of the individual matrices

Theorem of Bolzano: existence of intermediate value on continuous function

Theorem regading cosets of kernel of group homomorphism

One sided limit of monotonous continuous function on interval

Natural projection (abstract algebra)

Proof of Heine's theorem about sequence in function's argument under limit

Functions' limits' inequality theorem and proof

Equivalence relation on group action's set

Subgroup of G which does not change X in group action

Group action defines homomorphism, proof

Onesided matrix inverse from right: example

LU decomposition example

Kernel of matrix A is a subspace of F^n

Real analysis proof: inequality of sequences' terms for limit of one lower than the other's

Sequences' squeeze theorem and its proof, real analysis

Real analysis proof of addition of sequences' limits

Limit example

Matrix inverse as a product of elementary matrices with the original matrix

Limit of fraction of 3rd roots

Matrix multiplication: by columns, generalized

Matrix multiplication: column method example

Proof: sqrt(infinity)=infinity

Group inner automorphism

Complex-valued matrix

Real analysis: limit of absolute value of sequence term is absolute value of the original limit