Все публикации

0:18:35

(PQT) Queuing Theory Part III

0:40:08

(PQT) Queuing Theory Part II

0:29:16

(PQT) Queuing Theory Part I

0:23:23

Linear Differential Equations with constant coefficients problems Part IV

0:31:19

Linear Differential equations with constant coefficients problems Part III.

0:26:40

Laplace Transformations Part IV

0:34:47

Laplace Transformations Part III

0:31:03

State and prove Gauss' Lemma with an example in Number Theory .

0:30:34

Linear Differential Equations with constant coefficients problems Part II

0:20:50

Linear Differential Equations with constant coefficients problems Part I

0:24:33

Evaluate (-1| p) and (2 | p) and Prove that Legendre's symbol is a completely multiplicative of n.

0:40:44

Quadratic Residues, Legendre's symbol and Proof of Euler's Criterion in Number Theory.

0:20:26

Laplace Transformations Part II

0:25:31

Laplace Transformations Part I

0:24:03

State and prove Chinese Remainder Theorem.

0:23:04

For any prime p, every coefficient of f(x)=(x-1)(x-2)………..(x-p+1)-x^(p-1)+1 are divisible by p.

0:11:44

Solve the congruence 5 x ≡ 3 (mod 24).

0:10:44

Prove that metric spaces [0, 1] and [0, 2] with usual metric are homeomorphic.

0:22:44

Prove that f∶[0,1]→R defined by f(x)=x^2 is uniformly continuous.

0:13:53

Uniformly continuous.

0:14:11

f is continuous iff f(¯A)⊆ ¯(f(A)) for all A ⊆M_1.

0:08:49

f is continuous iff f^(-1) (F) is closed in M_1 whenever F is closed in M_2

0:11:21

f is continuous if and only if inverse image of every open set is open.

0:15:15

A function f is continuous iff (x_n )⟶a ⇒ (f(x_n ))⟶f(a).