Канал: Prachi Mishra

Perfect Numbers| Analytical Number Theory

Perfect Numbers| Analytical Number Theory

sums of squares |Primes of the form (4k−1) can't be sum of 2 squares| Analytical Number Theory

sums of squares |Primes of the form (4k−1) can't be sum of 2 squares| Analytical Number Theory

Order of Generator in Up^2 |U2^e is cylic iff e=1 and 2 |Analytical Number Theory

Order of Generator in Up^2 |U2^e is cylic iff e=1 and 2 |Analytical Number Theory

Area under the normal curve is unity |Probability Distribution

Area under the normal curve is unity |Probability Distribution

Diophantine Equation |Theorems |Analytical Number Theory |MSc

Diophantine Equation |Theorems |Analytical Number Theory |MSc

Diophantine Equation| Examples| Analytical Number theory |MSC

Diophantine Equation| Examples| Analytical Number theory |MSC

Find squqre root of 6 in U25 and U125 | Analytical Number Theory |Msc

Find squqre root of 6 in U25 and U125 | Analytical Number Theory |Msc

Riemann Zeta Function ξ(s) |Euler product |Analytical Number theory |MSC

Riemann Zeta Function ξ(s) |Euler product |Analytical Number theory |MSC

Primitive roots | Analytical number theory |Msc

Primitive roots | Analytical number theory |Msc

Riemann Zeta Function ξ(s) | analytical Number theory| Msc

Riemann Zeta Function ξ(s) | analytical Number theory| Msc

Unit of Zn | Unit set Un | Lemma and Theorems |Analytical Number Theory

Unit of Zn | Unit set Un | Lemma and Theorems |Analytical Number Theory

Weierstrass Approximation Method |Mathematical Analysis |Msc

Weierstrass Approximation Method |Mathematical Analysis |Msc

Number of the Primes 4n-1 or 4n+ 3 is Infinite |Analytical Number Theory

Number of the Primes 4n-1 or 4n+ 3 is Infinite |Analytical Number Theory

Chebychev's inequality with Examples|Lower &Upper Bound| Probability Distribution #2

Chebychev's inequality with Examples|Lower &Upper Bound| Probability Distribution #2

Moment Generating Function | Probability Distribution

Moment Generating Function | Probability Distribution

Irrationality of e |Analytical Number Theory |Msc

Irrationality of e |Analytical Number Theory |Msc

Mersane Number | Analytical Number Theory |Msc

Mersane Number | Analytical Number Theory |Msc

Hurwitz's Theorem proof | Analytical number theory | Msc

Hurwitz's Theorem proof | Analytical number theory | Msc

Properties and Theorems of Fermat Number| Analytical Number Theory

Properties and Theorems of Fermat Number| Analytical Number Theory

Fermat Number |F5 is composite |Properties of Fermat Number

Fermat Number |F5 is composite |Properties of Fermat Number

Hurwitz's Theorem| Lemma Proof |Analytical Number Theory

Hurwitz's Theorem| Lemma Proof |Analytical Number Theory

Farey Series | Analytical Number Theory | Msc

Farey Series | Analytical Number Theory | Msc

Class 12 Ex 5.3 Q9 Math | Differentiability | Q9 Ex 5.3 Class 12 Math

Class 12 Ex 5.3 Q9 Math | Differentiability | Q9 Ex 5.3 Class 12 Math

Life is an adventure & every moment is a story! Join me on this crazy side called Life

Life is an adventure & every moment is a story! Join me on this crazy side called Life

Theorem of Riemann Integral

Theorem of Riemann Integral

Product Series | Cauchy product | Infinite Series |Multiplication of series

Product Series | Cauchy product | Infinite Series |Multiplication of series

#2 Fourier Series for Even and odd Function

#2 Fourier Series for Even and odd Function

Fourier Series Expansion of f(x)=|x| in [-π π]

Fourier Series Expansion of f(x)=|x| in [-π π]

Decrypt the message using f(x)=5x +14 (mod 26)

Decrypt the message using f(x)=5x +14 (mod 26)

Vendor Registration MDU | Beneficiary ID | E-payments

Vendor Registration MDU | Beneficiary ID | E-payments

Cardinal Numbers |Cardinality of Natural and Real Numbers

Cardinal Numbers |Cardinality of Natural and Real Numbers

Gretest Integer Function |Online Calculator

Gretest Integer Function |Online Calculator

Riemann Stieltjes |Integration by Parts |Change in Variable |Sum of function |Examples

Riemann Stieltjes |Integration by Parts |Change in Variable |Sum of function |Examples

Dirichlet's test |P test for Discontinuty |Improper Integral

Dirichlet's test |P test for Discontinuty |Improper Integral

Gram-Schmidt Orthogonalization Process

Gram-Schmidt Orthogonalization Process

Chi- Square (χ2) Statistic for Hypothesis Testing

Chi- Square (χ2) Statistic for Hypothesis Testing

Dirichlet's Test for the convergence | Arbitarary Series

Dirichlet's Test for the convergence | Arbitarary Series

Pringshiem Theorem |Arbitrary Series #2

Pringshiem Theorem |Arbitrary Series #2

Arbitrary Series |Riemann's Rearrangement Theorem| Insertion & Removal of Parenthesis #1

Arbitrary Series |Riemann's Rearrangement Theorem| Insertion & Removal of Parenthesis #1

Marginal, Joint and Conditional probabilities of independent events

Marginal, Joint and Conditional probabilities of independent events

Boole's Inequality: Proof & Application |Probability |

Boole's Inequality: Proof & Application |Probability |

primitive roots modulo n | 2 is a primitive root of modulo 5 and 13

primitive roots modulo n | 2 is a primitive root of modulo 5 and 13

Quadratic Congruence with Composite modulus

Quadratic Congruence with Composite modulus

Second Order Linear Differential Equations

Second Order Linear Differential Equations

Simultaneous Linear Differential Equation

Simultaneous Linear Differential Equation

Rules for Finding Particular integral of all the Functions

Rules for Finding Particular integral of all the Functions

Singular solution, p & c-discriminant #2

Singular solution, p & c-discriminant #2

B.Tech. Maths question paper | calculus and linear algebra |Marking Scheme

B.Tech. Maths question paper | calculus and linear algebra |Marking Scheme

Examples of Ring, Group & Field (Part-II)

Examples of Ring, Group & Field (Part-II)

Probability of Independent & Dependent Events | Bayes' Theorem | part-2

Probability of Independent & Dependent Events | Bayes' Theorem | part-2

Probability |classical & Modern | part-1

Probability |classical & Modern | part-1

Application of Bayes' Theorem | Conditional Probability | Inverse Probability

Application of Bayes' Theorem | Conditional Probability | Inverse Probability

Geometrical Representation of Differential Equation

Geometrical Representation of Differential Equation

Examples of ED, UFD, PID, Field and Integral Domain

Examples of ED, UFD, PID, Field and Integral Domain

Group of order 24 is not Simple

Group of order 24 is not Simple

How to Record whiteboard Videos?? |Education Channel |Whiteboard

How to Record whiteboard Videos?? |Education Channel |Whiteboard

Duality in linear programming

Duality in linear programming

Contour Integral |Line integral |Complex Analysis

Contour Integral |Line integral |Complex Analysis

Jordan Blocks |Jordan Canonical Form (part-3)

Jordan Blocks |Jordan Canonical Form (part-3)

Diagonalizable |Triangularizable form |Similarity |Linear Algebra

Diagonalizable |Triangularizable form |Similarity |Linear Algebra

Cauchy Integral | complex analysis

Cauchy Integral | complex analysis

Residue | Complex Analysis

Residue | Complex Analysis

first three moments about value 2 are 1, 16 & -40. Show mean is 3,variance 15 & µ3 = -86.

first three moments about value 2 are 1, 16 & -40. Show mean is 3,variance 15 & µ3 = -86.

Dirichlet's Test | Improper integral | Convergence Test

Dirichlet's Test | Improper integral | Convergence Test

why first central moment is always 0 ?

why first central moment is always 0 ?

Riemann Integral | Greatest Integer function

Riemann Integral | Greatest Integer function

Riemann Sum | Riemann integral

Riemann Sum | Riemann integral

Analytical conditions of equilibrium of coplanar Forces |Trigonometrical Theorem (m-n Theorem)

Analytical conditions of equilibrium of coplanar Forces |Trigonometrical Theorem (m-n Theorem)

Euclidean Domain |Definition and Examples.

Euclidean Domain |Definition and Examples.

Examples of Principal Ideal Domain

Examples of Principal Ideal Domain

Forces acting at a point |Component and Resolved parts of given Force

Forces acting at a point |Component and Resolved parts of given Force

Calculating #MEDIAN and #MEAN in #Excel

Calculating #MEDIAN and #MEAN in #Excel

Calculating #MODE in #Excel

Calculating #MODE in #Excel

|xy| is differentiable everywhere

|xy| is differentiable everywhere

To find Extremal of Functional in Calculus of variation

To find Extremal of Functional in Calculus of variation

Euler's Phi function |Tau and sigma function

Euler's Phi function |Tau and sigma function

Interchanging Limits and Integrals | Dominated Convergence Theorem |Monotone Theorem

Interchanging Limits and Integrals | Dominated Convergence Theorem |Monotone Theorem

Jacobian Determinant

Jacobian Determinant

Differentiation of Modulus Function

Differentiation of Modulus Function

Definition and Necessity of Operation Research |lec-2

Definition and Necessity of Operation Research |lec-2

History of Operations Research |Lec-1

History of Operations Research |Lec-1

|sin(x)| ≤ x for All Positive Real Numbers

|sin(x)| ≤ x for All Positive Real Numbers

Similar Matrices #maths #theorem #competitiveexam #tricks #shortcutmaths

Similar Matrices #maths #theorem #competitiveexam #tricks #shortcutmaths

Cyclic ,Abelian and Simple Group #math #theorem #competitiveexam #tricks #shortcutmath

Cyclic ,Abelian and Simple Group #math #theorem #competitiveexam #tricks #shortcutmath

Point wise Uniformly Convergence and Sequence of Function (part-5)

Point wise Uniformly Convergence and Sequence of Function (part-5)

Find last two digit of 3 to the power 2019

Find last two digit of 3 to the power 2019

Aptitude Part A |CSIR NET (Nov 2020)

Aptitude Part A |CSIR NET (Nov 2020)

Part- C |CSIR NET Mathematics| Nov 2020

Part- C |CSIR NET Mathematics| Nov 2020

Continuity of x^3 /(x^2 + y^2)

Continuity of x^3 /(x^2 + y^2)

Examples of Abelian and Non Abelian Group

Examples of Abelian and Non Abelian Group

Argument Theorem and Argument Principle (Lec-32)

Argument Theorem and Argument Principle (Lec-32)

Hurwitz's Theorem (lec-31)

Hurwitz's Theorem (lec-31)

Riemann Mapping Theorem in Complex Analysis (Lec-30)

Riemann Mapping Theorem in Complex Analysis (Lec-30)

Minimum Modulus Theorem (Lec-29)

Minimum Modulus Theorem (Lec-29)

Examples of Unique Factorization Domain

Examples of Unique Factorization Domain

Har Har Mahadev🔱

Har Har Mahadev🔱

Principal Ideal |Unique factorization Domain |Quadratic field

Principal Ideal |Unique factorization Domain |Quadratic field

Class Equation of dihedral group |Symmetric group Lec-3

Class Equation of dihedral group |Symmetric group Lec-3

Important Result Of Series

Important Result Of Series

Important Results of Mobius Transformation and Conformal Mapping

Important Results of Mobius Transformation and Conformal Mapping

Analytic Function |Complex Analysis

Analytic Function |Complex Analysis

Optimal Solution of a LPP |Lec-3

Optimal Solution of a LPP |Lec-3

Misbh Customized Goods #misbh#trending #customized #Gifts #order #couplegoals#chocolate#viralshorts

Misbh Customized Goods #misbh#trending #customized #Gifts #order #couplegoals#chocolate#viralshorts

Convergence Test for Series

Convergence Test for Series

Basis and Dimension of a Vector Space

Basis and Dimension of a Vector Space

#Dalai #Hills #Mussoorie #uttarakhand #Buddha

#Dalai #Hills #Mussoorie #uttarakhand #Buddha

Lec -3 Regression Equation X on Y | Least Square Method

Lec -3 Regression Equation X on Y | Least Square Method

वाहेगुरु जी का खालसा वाहे गुरु जी की फ़ते ☬

वाहेगुरु जी का खालसा वाहे गुरु जी की फ़ते ☬

Difference between Correlation and Regression

Difference between Correlation and Regression

Index Numbers |Weighted & unweighted | Statistics

Index Numbers |Weighted & unweighted | Statistics

Encryt the message " HARD WORK" by encryption function f(p)= 3p+7 (mod 26)

Encryt the message " HARD WORK" by encryption function f(p)= 3p+7 (mod 26)

Hyperbolic Function | Number Theory

Hyperbolic Function | Number Theory

Legendre Symbol

Legendre Symbol

Energy | Kinetic and Potential Energy | Conservation of Energy

Energy | Kinetic and Potential Energy | Conservation of Energy

Correlation | Coefficient Of Correlation | Karl Pearson's Formula

Correlation | Coefficient Of Correlation | Karl Pearson's Formula

Work done by a body | Dynamics | Lec-11

Work done by a body | Dynamics | Lec-11

Motion of a Body Vertically upwards or downwards | L-10

Motion of a Body Vertically upwards or downwards | L-10

Newton's Laws of Motion | L-9 Dynamics

Newton's Laws of Motion | L-9 Dynamics

Elastic String | Work done against the Tension in Strecthing the Elastic string |Lec 8

Elastic String | Work done against the Tension in Strecthing the Elastic string |Lec 8

Simple Harmonic Motion | Lec-7 | Dynamics |Questions

Simple Harmonic Motion | Lec-7 | Dynamics |Questions

Solve the Linear Congruence | Linear Diophantine Equation |Number Theory

Solve the Linear Congruence | Linear Diophantine Equation |Number Theory

Simple Harmonic Motion | Velocity | amplitude |frequency | Period | Lec-6

Simple Harmonic Motion | Velocity | amplitude |frequency | Period | Lec-6

Fermat's Theorem and its converse | Examples

Fermat's Theorem and its converse | Examples

linear Congruence and diophantine Equation | solve the congruence

linear Congruence and diophantine Equation | solve the congruence

Relative Motion | Examples | Direction of Velocity of P relative to Q | Lec-5

Relative Motion | Examples | Direction of Velocity of P relative to Q | Lec-5

Radial and Transverse Velocities & Accelerations |Excercise Questions| Lec-4

Radial and Transverse Velocities & Accelerations |Excercise Questions| Lec-4

Tangential & Normal Velocities and Acceleration | Dynamics | Lec 3

Tangential & Normal Velocities and Acceleration | Dynamics | Lec 3

Radial & Transverse Velocities and Acceleration (Lec-2)

Radial & Transverse Velocities and Acceleration (Lec-2)

Dynamics : Velocity, Acceleration, Direction , path |Examples |lec-1

Dynamics : Velocity, Acceleration, Direction , path |Examples |lec-1

Central Tendancy : Mean, Mode and Median (Lec 2)

Central Tendancy : Mean, Mode and Median (Lec 2)

Divisibility: Product of any r consecutive integers is divisible by r! Number Theory

Divisibility: Product of any r consecutive integers is divisible by r! Number Theory

Mode |Measure of Central tendency |(Lec 1) Statistics

Mode |Measure of Central tendency |(Lec 1) Statistics

Function of Several Variable | CSIR NET

Function of Several Variable | CSIR NET

Derivative of Inner Product Space| CSIR NET

Derivative of Inner Product Space| CSIR NET

Function of Several Variable | Continuity | Differentiability lec-3

Function of Several Variable | Continuity | Differentiability lec-3

Locally invertible |Derivative of function at a given point | Df(x,y) | CSIR NET

Locally invertible |Derivative of function at a given point | Df(x,y) | CSIR NET

Differentiation | Basic Concept

Differentiation | Basic Concept

Venn Diagrams |Set | word Problem

Venn Diagrams |Set | word Problem

Permutation /Number of ways with and without Repeatition

Permutation /Number of ways with and without Repeatition

Improper Integral | Test the convergence | p integral | Part-2

Improper Integral | Test the convergence | p integral | Part-2

Consistent/ Inconsistent [System of Equations] Matrix Method

Consistent/ Inconsistent [System of Equations] Matrix Method

Arithmetic and Geometric Progression (A.P. & G.P.)

Arithmetic and Geometric Progression (A.P. & G.P.)

Indices and logarithmics

Indices and logarithmics

limit and continuity of the function of two variable | function of several variable lec-1

limit and continuity of the function of two variable | function of several variable lec-1

De Morgan's Law ( proof),Union, Intersection, complement| lec-2

De Morgan's Law ( proof),Union, Intersection, complement| lec-2

nth Derivatives | Successive Differentiation | Calculus

nth Derivatives | Successive Differentiation | Calculus

Maxima and Minima of the function Ofone or Two Variable

Maxima and Minima of the function Ofone or Two Variable

Centre of Conic | Nature of Curve |Asymptote of Conic (part-2)

Centre of Conic | Nature of Curve |Asymptote of Conic (part-2)

Conic Section: Directrix ,Eccentricity, Focus | Ellipse, Parabola ,Hyperbola (Part-1) Solid Geometry

Conic Section: Directrix ,Eccentricity, Focus | Ellipse, Parabola ,Hyperbola (Part-1) Solid Geometry

Indeterminate Form | L'Hopital's Rule

Indeterminate Form | L'Hopital's Rule

Sets, representation of sets: Roster, set builder,Types of sets, Power Set , De Morgan's Law

Sets, representation of sets: Roster, set builder,Types of sets, Power Set , De Morgan's Law

Adjoint and Cofactor of matrix

Adjoint and Cofactor of matrix

Method of Variation of parameters (part-2)

Method of Variation of parameters (part-2)

Bernoulli's form | Linear Differential Equation of first order

Bernoulli's form | Linear Differential Equation of first order

Heat Equation with Non Homogeneous Boundary Condition | part-3

Heat Equation with Non Homogeneous Boundary Condition | part-3

Green's Function | Property |Example| how to Construct Green's Function | ODE (Part-2)

Green's Function | Property |Example| how to Construct Green's Function | ODE (Part-2)

Wronksian of linearly dependent/ independent solutions| Examples (part-2)

Wronksian of linearly dependent/ independent solutions| Examples (part-2)

Cauchy Problem | Lagrange Method| Partial Differential Equation | Example

Cauchy Problem | Lagrange Method| Partial Differential Equation | Example

Numerical Analysis |CSIR NET |part-1

Numerical Analysis |CSIR NET |part-1

Path Connectedness |Topological Space [part-1]

Path Connectedness |Topological Space [part-1]

Canonical Form of Second Order PDE : Elliptic, Parabola, Hyperbola

Canonical Form of Second Order PDE : Elliptic, Parabola, Hyperbola

Bilinear Form |Example | (part-2)

Bilinear Form |Example | (part-2)

How to Draw Graph of Functions?

How to Draw Graph of Functions?

Lec-4 Continuity of Functions of Two Variable | Real Analysis

Lec-4 Continuity of Functions of Two Variable | Real Analysis

Lec-3 Directional Derivative | Examples| Real Analysis

Lec-3 Directional Derivative | Examples| Real Analysis

Lec-2 Differentiability of Functions of Two Variables| Real Analysis

Lec-2 Differentiability of Functions of Two Variables| Real Analysis

Composition of functions one-one / onto f•g |One-One & onto Test| First Derivative Test|

Composition of functions one-one / onto f•g |One-One & onto Test| First Derivative Test|

Lipschitz Function |Examples (part-2)

Lipschitz Function |Examples (part-2)

Uniform Continuity | Important Results |Examples

Uniform Continuity | Important Results |Examples

Invariant Subspace |T- invariant

Invariant Subspace |T- invariant

Properties of AB and BA matrices |Eigen value| minimal and characterstic polynomial

Properties of AB and BA matrices |Eigen value| minimal and characterstic polynomial

Inner Product Space : Function and Matrix (Part 2)

Inner Product Space : Function and Matrix (Part 2)

Idempotent Matrix, Involuntary Matrix (part-2)

Idempotent Matrix, Involuntary Matrix (part-2)

Inner Product Space, Norm of a vector (part-1)

Inner Product Space, Norm of a vector (part-1)

Non Homogeneous System (Consistent /Inconsistent) part-2

Non Homogeneous System (Consistent /Inconsistent) part-2

Diagonal Matrix | Eigen Vector | Linear Algebra

Diagonal Matrix | Eigen Vector | Linear Algebra

Improper Integral | Convergence | Real Analysis (part -1)

Improper Integral | Convergence | Real Analysis (part -1)

Jordan Canonical form |Dimension of Column and Null space (part-2)

Jordan Canonical form |Dimension of Column and Null space (part-2)

Cauchy Linear Homogeneous Differential Equation

Cauchy Linear Homogeneous Differential Equation

Heat Equation| Wave Equation in infinite Domain | Example | part-2

Heat Equation| Wave Equation in infinite Domain | Example | part-2

Picard's Existence and Uniqueness Theorem (Unique or Infinite solution)

Picard's Existence and Uniqueness Theorem (Unique or Infinite solution)

Regular/Irregular Singular points & ordinary points of the Differential Equation

Regular/Irregular Singular points & ordinary points of the Differential Equation

Entire Function, Fundamental Theorem of Algebra, Polynomials in Complex Analysis (Important Results)

Entire Function, Fundamental Theorem of Algebra, Polynomials in Complex Analysis (Important Results)

Lec-1 Limit Continuity, Differentiability | Real Analysis

Lec-1 Limit Continuity, Differentiability | Real Analysis

Singularity and its Classification (Important Results)Complex Analysis

Singularity and its Classification (Important Results)Complex Analysis

Prime Ideal (Ring theory) part-3| CSIR NET

Prime Ideal (Ring theory) part-3| CSIR NET

Subrings and Ideals (Ring Theory) part-2 |CSIR NET

Subrings and Ideals (Ring Theory) part-2 |CSIR NET

Ring theory,char of ring (part-1) CSIR NET

Ring theory,char of ring (part-1) CSIR NET

Degree of Extension, field Extension, Splitting field (part-5)

Degree of Extension, field Extension, Splitting field (part-5)

Splitting field, Field Extension, Algebraic Extension (part-4)

Splitting field, Field Extension, Algebraic Extension (part-4)

Mobius Transformation (Important Results) Complex Analysis(part-2)

Mobius Transformation (Important Results) Complex Analysis(part-2)

Single Valued and multivalued Function (Examples) part-1

Single Valued and multivalued Function (Examples) part-1

Meromorphic and Rational Function| Complex Analysis (Important Results)

Meromorphic and Rational Function| Complex Analysis (Important Results)

Conformal Mapping

Conformal Mapping

Residue at infinity ,Extended Version of Residue Theorem (part-3)

Residue at infinity ,Extended Version of Residue Theorem (part-3)

Residue (Important Results) Residue at singularity and analytic points (part-2)

Residue (Important Results) Residue at singularity and analytic points (part-2)

Mobius Transformation (Important Results) Complex Analysis [part-1]

Mobius Transformation (Important Results) Complex Analysis [part-1]

Generalized Liouville's Theorem | Singularity |Maximum modulus |Complex Analysis

Generalized Liouville's Theorem | Singularity |Maximum modulus |Complex Analysis

Uniformly Convergence| sequence & series| complex analysis

Uniformly Convergence| sequence & series| complex analysis

Zeros of the entire function| Orthogonal System |complex analysis

Zeros of the entire function| Orthogonal System |complex analysis