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Discriminant Analysis and Classification (Ch-30)
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Mathematics (CH_30)
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- 1 Discriminant Analysis and Classification (Ch-30)
- 2 Chebyshev inequality, Borel-Cantelli Lemmas and related issues (Ch-30)
- 3 Back To Linear Systems Part 1 (Ch-30)
- 4 Local Analysis of Normality and the Zooming Process - Motivation for Zalcman\'s (Ch-30)
- 5 Convex Optimization (Ch-30)
- 6 Min-cost-flow Sensitivity analysis Shortest path problem sensitivity analysis.(Ch-30)
- 7 Tests of Convergence
- 8 Any Variety is a smooth manifold with or without Non-smooth boundary
- 9 Finding Estimators - I
- 10 Solution of Nonlinear algebraic Equations - Part 8
- 11 Power series
- 12 Any variety is a smooth hypersurface on an open dense subset
- 13 Linear transformations - part 3
- 14 Existence using fixed point theorem
- 15 Finding Estimators - II
- 16 Riemann Integral
- 17 Introduction to PDE
- 18 Why Local rings provide calculus without limits for Algaebraic geometric pun intended?
- 19 Basis Part 3
- 20 Picard's existence and uniqueness theorem
- 21 Basic concepts of point Estimations - I
- 22 Special continuous distributions - V
- 23 Solution of non-linear algebraic equations - part 6
- 24 Infinite series II
- 25 How local rings detect smoothness or non-singularity in algaebraic geometry
- 26 Special continuous distributions - III
- 27 solution of non-linear algebraic equations - part 4
- 28 Curve sketching
- 29 Local Ring isomorphism,Equals Function Field Isomorphism
- 30 Introduction and Motivation
- 31 Special continuous distributions - IV
- 32 Linear Independence and subspaces part 2
- 33 Second order linear equations Continued I
- 34 Proofs in Indian Mathematics - Part 2
- 35 Solution of Non-linear algebraic equations - part I
- 36 Mean Value Theorems
- 37 Linear independence and subspaces part 3
- 38 Second order linear equations Continued II
- 39 Solution of Nonlinear Algebraic equations - part 2
- 40 Maxima-Minima
- 41 The Importance of Local rings - A Rational functional in Every local ring is globally regular
- 42 Linear independence and subspaces part 4
- 43 Well-posedness and examples of IVP
- 44 Mathematics in Modern India 1
- 45 Special continuous distributions - II
- 46 Taylor's theorem
- 47 Geometric meaning of Isomorphism of Local Rings - Local rings are almost global
- 48 Basis Part 1
- 49 Gronwall's Lemma
- 50 Linear Transformations - part 1
- 51 Picard's existence and uniqueness continued
- 52 Basic concepts of point Estimations - II
- 53 Normal distribution
- 54 Solution of Nonlinear algaebraic Equations - part 7 (Contd.). Polynomial equations
- 55 Solution of non-linear algebraic equations - part 5
- 56 Properties of continuous function
- 57 Proofs in Indian Mathematics - 3
- 58 Solution of Non-linear algebraic equations - part 3
- 59 First order linear equations
- 60 Trigonometry and Spherical trigonometry 2
- 61 Fields of Rational Functions or Function fields of Affine and Projective varieties
- 62 vector spaces part -2
- 63 Trigonometry and spherical trigonometry 3
- 64 Linear Independence and subspaces part 1
- 65 Second order linear equations
- 66 Proofs in Indian Mathematics 1
- 67 The D-uple embedding and the non-intrinsic nature of the homogeneous coordinate ring
- 68 Introduction to multilinear maps
- 69 Signature of a permutation
- 70 Computational rules for determinants
- 71 Introduction to determinants
- 72 Penalty and barrier method
- 73 multi - attribute decision making
- 74 Multi - objective decision making
- 75 Continuation of solutions
- 76 Series solution
- 77 Linear transformations - part 4
- 78 General System and Diagonalizability
- 79 Linear transformations - part 5
- 80 The Importance of Local rings - A morphism is an isomorphism if it is a homeomorphis
- 81 constrained optimization
- 82 Graphical solution of LPP-II
- 83 Problems on Big-M method
- 84 Graphical solution of LPP-I
- 85 Selecting the best regression model(Contd.)
- 86 Solution of LPP : Simplex method
- 87 Constrained geometric programming problem
- 88 simplex method
- 89 Multicollinearity(Contd.)
- 90 Transformation and weighting to correct model inadequacies (Contd.)
- 91 Ito formula and its variants
- 92 Introduction to Big-M method
- 93 Direct sums of vector spaces
- 94 Selecting the best regression model
- 95 Convergence of sequence of operators and functionals
- 96 Cluster Analysis
- 97 Hotelling T2 distribution and its applications.
- 98 Random sampling from multivariate normal distribution and Wishart distribution III
- 99 Meromorphic Functions on the Extended Complex Plane are Precisely Quotients of Polynomials
- 100 S30 0347
- 101 Multivariate normal distribution II
- 102 sets and strings
- 103 Convex Optimization
- 104 algorithm of Big -M method
- 105 Selecting the best regression model(Contd.)
- 106 Optimization
- 107 Tutorial - III
- 108 Introduction to geometric programming
- 109 Numerical optimization : Region elimination techniques
- 110 Lp - space
- 111 Introduction to optimization
- 112 Renewal function and renewal equation
- 113 Assumptions & Mathematical modeling of LPP
- 114 Geometry of LPP
- 115 Multi objective decision making
- 116 problems on sensitivity analysis
- 117 five results about pl
- 118 Non markovian queues
- 119 unique parsing
- 120 Degeneracy in LPP
- 121 Generalized renewal processes and renewal limit theorems
- 122 SAT and 3SAT
- 123 Polynomial Interpolation 3
- 124 Functions of Complex Variables Part - I
- 125 Cluster Analysis
- 126 Analytic Functions, C-R Equations
- 127 First Order Logic (1)
- 128 Lagrange Interpolation Polynomial, Error in Interpolation -1
- 129 Functions of Complex Variables Part - 2
- 130 Types of Sets with Examples,Metric Space
- 131 Integration - 3 : Newton and Leibnitz style
- 132 Cluster Analysis (Contd.)
- 133 Harmonic Functions
- 134 First Order Logic (2)
- 135 Self adjoint, Unitary and Normal operators
- 136 Lagrange Interpolation Polynomial, Error in Interpolation -1 Part 2
- 137 Total Orthonormal Sets and Sequences
- 138 Divide Difference Interpolation Polynomial
- 139 Complex Numbers and Their Geometrical Representation
- 140 Weiersstrass Theorem, Heine Borel Theorem,Connected set
- 141 Fundamental Theorem of Calculus (in Riemann Style)
- 142 Correspondence Analysis
- 143 Cauchy Integral Formula
- 144 Sample Space ,Events
- 145 Partially Ordered Set and Zorns Lemma
- 146 Properties of Divided difference, Introduction to Inverse Interpolation
- 147 Solution of ODE of First Order and First Degree
- 148 Tutorial II
- 149 The Kurzweil - henstock Integral (K-H Integral)
- 150 Correspondence Analysis (Contd.)
- 151 Power and Taylor Series of Complex Numbers
- 152 Probability, Conditional probability
- 153 Hahn Banach Theorem for Real Vector Spaces
- 154 Properties of Divided difference, Introduction to Inverse Interpolation Part 2
- 155 Concept of limit of a sequence
- 156 Calculating Indefinite Integrals
- 157 Convex sets and Functions
- 158 Power and Taylor Series of Complex Numbers (Contd.)
- 159 Independent Events, Bayes Theorem
- 160 Hahn Banach Theorem for Complex V.S. & Normed Spaces
- 161 Inverse Interpolation, Remarks on Polynomial Interpolation
- 162 Approximate Solution of An Initial Value
- 163 Some Important limits, Ratio tests for sequences of Real Numbers
- 164 Improper Integral - I
- 165 Properties of Convex functions - I
- 166 Taylor's , Laurent Series of f(z) and Singularities
- 167 Information and mutual information
- 168 Baires Category & Uniform Boundedness Theorems
- 169 Numerical Differentiation - 1 Taylor Series Method
- 170 Series Solution of Homogeneous Linear II
- 171 Cauchy theorems on limit of sequences with examples
- 172 Improper Integral -II
- 173 Properties of Convex functions - II
- 174 Classification of Singularities, Residue and Residue Theorem
- 175 Basic definition
- 176 Open Mapping Theorem
- 177 Numerical Differentiation - 2 Method of Undetermined Coefficients
- 178 Series Solution of Homogeneous Linear II (contd.)
- 179 Fundamental Theorems on Limits,Bolzano - Weiersstrass Theorem
- 180 Application of Definite Integral - I
- 181 Properties of Convex functions - III
- 182 Laplace Transform and its Existence
- 183 Isomorphism and sub graphs
- 184 Closed Graph Theorem
- 185 Numerical Differentiation -2 Polynomial Interpolation Method
- 186 Bessel Functions and Their Properties
- 187 Theorems on Convergent and Divergent sequences
- 188 Application of Definite Integral - II
- 189 Convex Programming Problems
- 190 Properties of Laplace Transform
- 191 Walks,paths and circuits, operations on graphs
- 192 Adjoint operator
- 193 Numerical Differentiation -3 Operator Method Numerical Integration - 1
- 194 Bessel Functions and Their Properties (Continued…)
- 195 Cauchy sequence and its properties
- 196 Application of Definite Integral - III
- 197 KKT Optimality conditions
- 198 Evaluation of Laplace and Inverse Laplace Transform
- 199 Euler graphs, Hamiltonian circuits
- 200 Strong and Weak Convergence
- 201 Numerical Integration 2 Error in Trapezoidal Rule Simpsons Rule
- 202 Laplace Transformation
- 203 Infinite series of real numbers
- 204 Application of Definite Integral - III (Continued)..
- 205 Examples of Programming (CH_30)
- 206 Bivariate and Three dimensional plots (CH_30)
- 207 Statistical Functions - Boxplots, Skewness and Kurtosis (CH_30)
- 208 Parametric methods - VII (CH_30)
- 209 Data Handling - Importing Data Files from Other software (CH_30)
- 210 Statistical Functions : Frequency and Partition values (CH_30)
- 211 Statistical Functions : Graphics and Plots (CH_30)
- 212 Statistical Functions - Central Tendency and Variation (CH_30)
- 213 Quadratic Programming Problems - I
- 214 S30 2072
- 215 Shortest path problem
- 216 S30 2074
- 217 Numerical Integration 3 Error in Simpsons Rule Composite in Trapezoidal Rule, Error
- 218 Laplace Transformation Continued…
- 219 Comparision tests for series, Absolutely convergent and Conditional Convergent series
- 220 Numerical Integration - I (Trapezoidal Rule)
- 221 Quadratic Programming Problems - II
- 222 Applications of Laplace Transform to PDEs
- 223 Planar graphs
- 224 LP - Space
- 225 Numerical Integration 4 Composite Simpsons Rule, Error Method of Undetermined Coefficients
- 226 Applications of Laplace Transformation
- 227 Tests for absolutely convergent series
- 228 Separable Programming - I
- 229 Basic definitions
- 230 LP - space (contd.)
- 231 Numerical Integration 5 Gaussian Quadrature (Two point Method)
- 232 Applications of Laplace Transformation (Continued)
- 233 Raabe's test, limit of functions, Cluster point
- 234 Sequences
- 235 Separable Programming - II
- 236 Fourier Series (Contd.)
- 237 Properties of relations
- 238 Introduction to Linear differential equations
- 239 Numerical Integrature - 5 Gaussian Quadrature (Three Point Method) Adaptive Quadrature
- 240 One Dimensional Wave Equation
- 241 Some results on limit of functions
- 242 Sequence (Continued)
- 243 Geometric programming I
- 244 Fourier Integral Representation of a Function
- 245 Graph of Relations
- 246 Linear dependance, independence and Wronskian of functions
- 247 Numerical Solution of Ordinary Differential Equation (ODE) - 1
- 248 One Dimensional Heat Equation
- 249 Limit Theorems for Functions
- 250 Infinite Series
- 251 Geometric programming II
- 252 Introduction to Fourier Transform
- 253 Matrix of a Relation
- 254 Solution of second order homogenous linear differential equations with constant coefficients - I
- 255 Numerical Solution of ODE - 2 , Stability, Single Step Methods - 1 Taylor Series Method
- 256 Introduction to Differential Equation
- 257 Extension of limit concept (One sided limits)
- 258 Infinite series (Continued)
- 259 Geometric programming III
- 260 Applications of Fourier Transform to PDEs
- 261 Closure of a Relation (1)
- 262 Solution of second order homogenous linear differential equations with constant coefficients - II
- 263 Numerical Solution of ODE - 3 Examples of Taylor Series Method Euler's method
- 264 First Order Differential Equations and Their Geometric Interpretation
- 265 Continuity of Functions
- 266 Taylors Theorem , other issues and end of the course - I
- 267 Dynamic programming I
- 268 Laws of probability I
- 269 Closure of a Relation (2)
- 270 Method of Undetermined Coefficients
- 271 Numerical solution of ODE-4 Runge-Kutta Methods
- 272 Differential Equations of First Order Higher Degree
- 273 Properties of Continuous functions
- 274 Taylors Theorem , other issues and end of the course - II
- 275 Dynamic programming II
- 276 Laws of probability II
- 277 Methods for finding particular integral for second-order
- 278 Numerical solution of ODE-5 Example for RK-Method of Order 2 Modified Euler's Method
- 279 Linear Differential Equation of Second Order - Part 1
- 280 Boundedness theorem, Max-Min Theorem and Bolzano's theorem
- 281 Introduction to Error analysis and linear systems
- 282 Dynamic programming approach to find shortest path in any network (Dynamic Programming III)
- 283 Problems in probability
- 284 Partial Ordered Relation
- 285 Methods for finding particular integral for second-order
- 286 Numerical solution of Ordinary Differential Equations - 6
- 287 Linear Differential Equation of Second Order - Part 2
- 288 Uniform continuity and Absolute continuity
- 289 Gaussian elimination with partial pivoting
- 290 Dynamic programming IV
- 291 Random variables
- 292 Partially ordered sets
- 293 Methods for finding Particular integral for second-order linear
- 294 Numerical solution of Ordinary Differential Equations -7 (Predictor - Corrector Methods(Milne))
- 295 Euler - Cauchy Theorem
- 296 Types of Discontinuities, Continuity and Compactness
- 297 LU Decomposition
- 298 Search Techniques - I
- 299 Special Discrete Distributions
- 300 Lattices
- 301 Euler-Cauchy Equations
- 302 Numerical solution of Differential Equations - 8
- 303 Higher Order Linear Differential Equations
- 304 Continuity and Compactness (Contd.) Connectedness
- 305 Jacobi and Gauss Seidel Methods
- 306 Search Techniques - II
- 307 Special Continuous distributions
- 308 Boolean algebra
- 309 Method of Reduction for second-order linear differential equations
- 310 Fourier Series
- 311 Numerical Integration - II (Simpson's Rule)
- 312 Matrix Algebra Part - 2
- 313 Permutations and Combinations (Continued)
- 314 Completion of Metric Spaces + Tutorial
- 315 Non parametric Methods - III
- 316 Queuing Models M/M/I Birth and Death Process Little's Formulae
- 317 Tutorial
- 318 Introduction to Numbers
- 319 Standardized Regression Coefficients and Testing of Hypothesis
- 320 Strong law of large numbers, Joint mgf
- 321 Matrix Algebra Part - 1
- 322 Multivariate Analysis - XI
- 323 Hypothesis Testing
- 324 Permutations and Combinations
- 325 Applications of N-P-Lemma - II
- 326 Reducible markov chains
- 327 Simple Linear Regression Analysis
- 328 Examples of Complete and Incomplete Metric Spaces
- 329 Analysis of Variance
- 330 Cauchy's Integral Formula
- 331 Chi-Square Test for Goodness Fit - I
- 332 Software Implementation in Simple Linear Regression Model using MINITAB
- 333 Trees and Graphs
- 334 Non parametric methods - II
- 335 Evaluation of Real Improper Integrals - 2
- 336 Inter-arrival times, Properties of Poisson processes
- 337 Functions
- 338 Multivariate Analysis-III
- 339 Multivariate Analysis of Variance (Contd.)
- 340 Holder inequality and Minkowski Inequality
- 341 Testing for Independence in rxc Contingency Table - II
- 342 Applications of central limit theorem
- 343 Estimation of Model Parameters in Multiple Linear Regression Model (Continued)
- 344 Estimation Part -II
- 345 Evaluation of Real Integrals-Revision
- 346 Applications of N-P-Lemma - I
- 347 Multivariate Analysis - X
- 348 Regression Model - A Statistical Tool
- 349 Pigeonhole principle
- 350 Cauchy's Integral Theorem
- 351 Random walk, periodic and null states
- 352 Multivariate Inferential statistics(Contd.)
- 353 Trees
- 354 Convergence, Cauchy Sequence, Completeness
- 355 Testing Equality of Proportions
- 356 Testing of Hypothesis and Confidence Interval Estimation in Simple Linear Regression Model
- 357 Non parametric methods - I
- 358 Evaluation of Real Improper Integrals -1
- 359 Multivariate Analysis-II
- 360 Poisson processes
- 361 Equivalence Relations and partitions
- 362 Central limit theorem
- 363 Multivariate Analysis of Variance
- 364 Testing for Independence in rxc Contingency Table - I
- 365 Estimation Part-I
- 366 Metric Spaces with Examples
- 367 Estimation of Model Parameters in Multiple Linear Regression Model
- 368 Evaluation of Real Improper Integrals - 4
- 369 Neyman- Pearson Fundamental Lemma
- 370 Basic Fundamental concepts of modelling
- 371 Multivariate Analysis - IX
- 372 Contour Integration
- 373 First passage and first return prob. Classification of states
- 374 Multivariate Inferential statistics
- 375 Graphs (Continued.)
- 376 Examples
- 377 Testing of Hypothesis and Confidence Interval Estimation in Simple Linear Regression Model
- 378 Evaluation of Real Integrals
- 379 Functions (Continued)
- 380 Multivariate Analysis-I
- 381 Order and Relations and Equivalence Relations
- 382 Examples of More Programming
- 383 Separable Metrics Spaces with Examples
- 384 Convergence and limit theorems
- 385 Sampling Distribution
- 386 Multivariate Analysis - VIII
- 387 Multivariate Analysis - XII
- 388 Two Types of Errors
- 389 State prob.First passage and First return prob
- 390 Confidence Intervals (Continued)
- 391 Banach Spaces and Schauder Basic
- 392 Multivariate Normal Distribution (Contd.)
- 393 Complex Integration
- 394 Paired t-Test
- 395 Maximum Likelihood of Parameters in Simple Linear Regression Model
- 396 Graphs
- 397 Non parametric Methods - VI
- 398 Residue Theorem
- 399 M/M/I/K & M/M/S/K Models
- 400 Order Relations
- 401 Multiple Regression
- 402 Functions
- 403 Diagnostics in Multiple Linear Regression Model (continued)
- 404 Inequalities and bounds
- 405 Determinants Part - 2
- 406 Multivariate Analysis - VII
- 407 Univariate descriptive statistics
- 408 Basic Definitions
- 409 Generating Functions (Continued)
- 410 Transition and state probabilities
- 411 Confidence Intervals
- 412 Multivariate Normal Distribution
- 413 Normed Spaces with Examples
- 414 Testing for Normal Variance
- 415 Large Sample Test for Variance and Two Sample Problem
- 416 Estimation of Parameters in Simple Linear Regression Model(continued):Some nice properties
- 417 Estimation of Parameters in Simple Linear Regression Model(continued)
- 418 Non parametric Methods - V
- 419 Zeros,Singularities and Poles
- 420 Residue Integration Method
- 421 M/M/S M/M/I/K Model
- 422 Closure of Relations
- 423 Closure Properties of Relations (Contd..)
- 424 MANOVA Case study
- 425 Examples of Irrational Numbers
- 426 Multivariate Analysis -VI
- 427 Diagnostics in Multiple Linear Regression Model
- 428 Multivariate Analysis-V
- 429 Stochastic processes:Markov process
- 430 Determinants Part - 1
- 431 Convolutions
- 432 Multivariate Descriptive Statistics (contd.)
- 433 Generating Functions
- 434 Introduction to Multivariate statistical modeling Part - I
- 435 Time Reversible Markov Chains
- 436 Testing for Normal Mean
- 437 Estimation of Parameters in Simple Linear Regression Model
- 438 Vector Spaces with Examples
- 439 Analysis of Variance (Contd.)
- 440 Chi-Square Test for Goodness Fit - II
- 441 Application of Cauchy Integral Formula
- 442 Multiple Linear Regression Model
- 443 Non parametric Methods - IV
- 444 Evaluation of Real Improper Integrals - 3
- 445 Special properties of Relations
- 446 Analysis of L,Lq,W and Wq, M/M/S Model
- 447 Functions (Continued)
- 448 Tutorial(Contd.)
- 449 Countability and Uncountability
- 450 Multivariate Analysis - IV
- 451 Various Concepts in a Metric Space
- 452 Testing of Hypothesis (continued) and Goodness of Fit of the model
- 453 Non parametric Methods - XI
- 454 Vector Spaces, Subspaces, Linearly Dependent / Independent of Vectors
- 455 MLR Case Study
- 456 Maximum Value Theorem
- 457 Within sample forecasting
- 458 Linear Algebra Part - 4
- 459 Algebras (Continued)
- 460 Bounded Linear Operators in a Normed Space
- 461 Non parametric Methods - X
- 462 Review Groups, Fields and Matrices
- 463 MLR Model Diagnostics
- 464 Intermediate Value Theorem
- 465 Forecasting in Multiple linear Regression Model
- 466 Linear Algebra Part -3
- 467 Algebras
- 468 Linear Operators - Definitions and Examples
- 469 Non parametric Methods - IX
- 470 Reliability of systems
- 471 MLR Test of Assumptions
- 472 Continous Functions
- 473 Software Implementation in Multiple Linear Regression Model using MINITAB (continued)
- 474 Linear Algebra Part - 2
- 475 Recurrence Relations (Continued)
- 476 Compactness of Metric/Normed Spaces
- 477 Non parametric Methods - VIII
- 478 Exponential Failure law, Weibull Law
- 479 MLR Model Adequacy Tests
- 480 Limits of Functions - II
- 481 Software Implementation in Multiple Linear Regression Model using MINITAB
- 482 Linear Algebra Part - 1
- 483 Recurrence Relations (Continued)
- 484 Finite Dimensional Normed Spaces and Subspaces
- 485 Non parametric Methods - VII
- 486 Application to Reliability theory failure law
- 487 MLR Sampling Distribution of Regression Coefficients
- 488 Limits of Functions - I
- 489 Diagnostics in Multiple Linear Regression Model (continued)
- 490 Solution of System Equation
- 491 Recurrence Relations
- 492 Linear Transformation Part - 1
- 493 Finite State Automaton
- 494 Concept of Algebraic Dual and Reflexive Space
- 495 Non Parametric Methods - XII
- 496 Basis, Dimension, Rank and Matrix Inverse
- 497 Multivariate Linear Regression
- 498 Supremum and Infimum
- 499 Outside Sample Forecasting
- 500 Inner product
- 501 Algebras (Continued)
- 502 Bounded Linear Functionals in a Normed Space
- 503 Tutorial - II
- 504 The principle of Inclusion and Exclusion
- 505 Jordan Canonical Form,Cayley Hamilton Theorem
- 506 Principal component analysis - Model Adeaquacy & Interpretation
- 507 Rolles Theorem and Lagrange Mean Value Theorem (MVT)
- 508 Representation of Functionals on a Hilbert Spaces
- 509 Methods of Proof of an Implication
- 510 Continuum and Exercises
- 511 Concept of Domain, Limit, Continuity and Differentiability
- 512 Eigenvalues & Eigenvectors Part - 2
- 513 Introduction, Motivation
- 514 Factor Analysis - Model Adequacy, Rotation , Factor Scores & Case study
- 515 Tutorial - I
- 516 Integration - 1 : In the style of Newton and Leibnitz
- 517 Mathematical Induction
- 518 Equivalence of Dedekind and Cantor's Theory
- 519 Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
- 520 Solution of System of Linear Equation
- 521 Part 2 Polynomial Interpolation II
- 522 Principal Component Analysis
- 523 Projection theorem, Orthonormal Sets and Sequences
- 524 Maxima And Minima
- 525 Logical Inferences
- 526 Irrational numbers, Dedekind's Theorem
- 527 Spectrum of special matrices,positive/negative definite matrices
- 528 Eigenvalues & Eigenvectors Part - 1
- 529 Factor Analysis Estimation & Model Adequacy testing
- 530 Lattices
- 531 Dual Spaces with Examples
- 532 Introduction to the theory of sets
- 533 System of Linear Equations, Eigen values and Eigen vectors
- 534 Multivariate Linear Regression Model Adequacy tests
- 535 Rules of Differentiation
- 536 Rational Numbers and Rational Cuts
- 537 Linear Transformation Part - 2
- 538 Finite State Automaton (Continued)
- 539 Dual Basis & Algebraic Reflexive Space
- 540 Non Parametric Methods - XIII
- 541 Linear Transformation, Isomorphism and Matrix Representation
- 542 Multivariate Linear Regression Estimation
- 543 Derivatives - Derivative of a Function
- 544 Software Implementation of Forecasting using MINITAB
- 545 Optimization Problems
- 546 Cantor's Theory of Irrational Numbers (Contd.)
- 547 Diagonalization Part - 2
- 548 Part 1 Polynomial Interpolation II
- 549 Fundamentals of Logic
- 550 Factor Analysis
- 551 Newton's Method for Solving Equations
- 552 Cantor's Theory of Irrational Numbers
- 553 Diagonalization Part -1
- 554 Mathematical preliminaries, Polynomial Interpolation I Part 2
- 555 Inner product & Hilbert space
- 556 Application of the principle of Inclusion and Exclusion
- 557 Inner Product Spaces, Cauchy - Schwarz Inequality
- 558 Regression Modeling Using SPSS
- 559 Monotonic Functions and Inverse Functions
- 560 Continuum and Exercises (Contind..)
- 561 Quadratic Forms
- 562 Mathematical preliminaries, Polynomial Interpolation I Part 1
- 563 Strings -Display and Formating, Paste function
- 564 Function of Random variables,moment generating function
- 565 Numerical Differentiation and Integration - Part 3
- 566 Examples on MLE - I
- 567 Likelihood Ratio Tests - I
- 568 Integration - 2
- 569 Integration - 1
- 570 Strings - Display and Formatting , Print and Format with Concatenate
- 571 Continuous random variables and their distributions
- 572 Numerical Differentiation and Integration - Part 2
- 573 Examples on MME, MLE
- 574 Unbiased Tests for Normal Populations (Continued…)
- 575 Mean - Value Theorem and Taylor's Expansion - 2
- 576 Mean - Value Theorem and Taylor's Expansion - 1
- 577 Strings - Display and Formatting , Print and Format Functions
- 578 Continuous random variables and their distributions
- 579 Numerical Differentiation and Integration - Part 1
- 580 LSE, MME
- 581 Unbiased Tests for Normal Populations
- 582 Derivative -2
- 583 Data Management - Factors (continued)
- 584 Continuous random variables and their distributions
- 585 Interpolation and Approximation - Part 9
- 586 UMP Unbiased Tests : Applications
- 587 Derivative - 1
- 588 Limits and Continuity - 3
- 589 Data Management - (Factors)
- 590 Discreet random variables and their distributions
- 591 Interpolation and Approximation - Part 8
- 592 Introduction to Estimation
- 593 UMP Unbiased Tests
- 594 Limits and continuity - 2
- 595 Limits and continuity - 1
- 596 Vector Indexing (continued)
- 597 Discreet random variables and their distributions
- 598 Interpolation and Approximation - Part 7
- 599 Descriptive Statistics - IV
- 600 UMP Unbiased Tests
- 601 Sequence-II
- 602 Sequence - I
- 603 Epilogue
- 604 Data Management - Vector Indexing
- 605 Discrete random variables and their distributions
- 606 Interpolation and Approximation - Part 6
- 607 Descriptive Statistics - III
- 608 UMP Tests (Contd.)
- 609 Functions - I
- 610 Numbers
- 611 Back to Linear Systems Part 2
- 612 Data Management - Lists (continued)
- 613 Examples of Application Oriented Problems (Contd.)
- 614 Interpolation and Approximation - Part 5
- 615 Descriptive Statistics - II
- 616 UMP Tests
- 617 General Second Order Equations - Continued
- 618 Back to Linear Systems Part 1
- 619 Data Management - Lists
- 620 Examples of Application Oriented Problems
- 621 Interpolation and Approximation - Part 4
- 622 Descriptive Statistics - I
- 623 Applications of NP Lemma
- 624 General Second Order Equations
- 625 Singular value decomposition - Part 2
- 626 Data Management - Sorting and Ordering
- 627 Example of Generalized 3 Dimensional Problem
- 628 Interpolation and Approximation - Part 3
- 629 F-Distribution
- 630 Neyman Pearson fundamental Lemma
- 631 Linear Second Order Equations
- 632 Singular value decomposition - Part 1
- 633 Data Management Repeats
- 634 Spherical Polar Coordinate System (Contd.)
- 635 Interpolation and Approximation - Part 2
- 636 Chi - Square Distribution (Contd.)., t-Distribution
- 637 Testing of Hypothesis : Basic concepts
- 638 Periodic orbits and Poincare Bendixon Theory Continued
- 639 Hermitian and Symmetric Matrices Part 4
- 640 Data Management Sequences
- 641 Spherical Polar Coordinate System
- 642 Gauss Divergence Theorem
- 643 Interpolation and Approximation - Part I
- 644 Chi - Square Distribution
- 645 Bayes and Minimax Estimation - III
- 646 Periodic orbits and Poincare Bendixon Theory
- 647 Hermitian and Symmetric Matrices Part 3
- 648 Data Management Sequences
- 649 Cylindrical Coordinate System -3 Dimensional Problem
- 650 Stokes Theorem
- 651 Hermitian and Symmetric matrices Part 1
- 652 Basic Calculations : Conditional executions and loops
- 653 Solution of Hyperbolic PDE
- 654 Surface Integrals
- 655 Solution of a system of Linear Algebraic Equations - Part - 12
- 656 Transformation of Random Variables
- 657 Invariance - II
- 658 Second Order Linear Equations Continued - III
- 659 Diagonalization Part 4
- 660 Basic Calculations : Truth table and conditional executions
- 661 Solution of Elliptical PDE
- 662 Multiple Integrals
- 663 Solution of a system of Linear Algebraic Equations - Part - 11
- 664 Additive Properties of Distributions - II
- 665 Invariance-I
- 666 Stability Equilibrium points continued II
- 667 Diagonalization Part 3
- 668 Basic Calculations : Logical Operators
- 669 Solution of 4 Dimensional Parabolic Problem (Contd.)
- 670 Method of Lagrange Multipliers
- 671 Solution of a system of Linear Algebraic Equations - Part - 10
- 672 Additive Properties of Distributions - I
- 673 UMVU Estimation,Ancillarity
- 674 Stability Equilibrium points continued I
- 675 Diaggonalization Part 2
- 676 Basic calculations : Missing data and logical operators
- 677 Solution of 4 Dimensional Parabolic Problem
- 678 Maxima - Minima
- 679 Solution of a system of Linear Algebraic Equations - Part - 9
- 680 Bivariate Normal Distribution - II
- 681 Minimal Sufficiency,Completeness
- 682 Stability Equilibrium points
- 683 Diagonalization Part 1
- 684 Basic calculations : Matrix Operations
- 685 Solution of 3 Dimensional Parabolic Problem
- 686 Mean Value Theorems
- 687 Solution of a system of Linear Algebraic Equations - Part - 8
- 688 Bivariate Normal Distribution - I
- 689 Sufficiency & Information
- 690 Basic Definitions and Examples
- 691 Inner Product and Orthogonality Part 6
- 692 Separation of variables : Rectangular Coordinate systems
- 693 Derivatives
- 694 Solution of a system of Linear Algebraic Equations - Part - 7
- 695 Linearity property of Correlation and Examples
- 696 Sufficiency
- 697 General Systems Continued and Non-homogeneous systems
- 698 Inner product and orthogonality Part 5
- 699 Functions and Matrices
- 700 Properties of Adjoint Operator
- 701 Differentiation
- 702 Solution of a system of Linear Algebraic Equations - Part - 6
- 703 Independence , product moments
- 704 Lower bounds of variance - IV
- 705 General systems
- 706 Inner Product and Orthogonality Part 4
- 707 R as calculator, Built in functions and Assignment
- 708 Generalized sturm - Louiville problem
- 709 Functions of several variables
- 710 Solution of a system of Linear Algebraic Equations - Part - 5
- 711 Joint Distributions - II
- 712 Lower bounds for variance - III
- 713 2 by 2 Systems and Phase Plane Analysis Continued
- 714 Inner Product and Orthogonality Part 3
- 715 Basics of calculations , Basics and R as a calculator
- 716 Adjoint operator
- 717 Line Integrals
- 718 Solution of a system of Linear Algebraic Equations - Part - 4
- 719 Joint Distributions - I
- 720 Lower bounds for variance - II
- 721 2 by 2 Systems Phase Plane Analysis
- 722 Inner Product and Orthogonality Part 2
- 723 Introduction command line, Data Editor and R studio
- 724 Standard Eigen value problem and special ODEs
- 725 Length of a curve
- 726 Solution of a system of Linear Algebraic Equations - Part - 3
- 727 Function of a random variable - II
- 728 Lower bounds for Variance - I
- 729 General System and Diagonalizability
- 730 Inner product and Orthogonality part 1
- 731 Introduction Help demo examples packages libraries
- 732 Principle of Linear Superposition
- 733 Applications of Rieman integral
- 734 Solution of a system of Linear Algebraic Equations - Part - 2
- 735 Function of a random variable - I
- 736 Properties of MLEs
- 737 Series solution
- 738 Linear transformations - part 5
- 739 Why R and installation procedure
- 740 Classification of PDE
- 741 Riemann Integrable Functions
- 742 Solution of a system of Linear Algebraic Equations - Part - 1
- 743 Problems on special distributions - II
- 744 Finding Estimators - III
- 745 Continuation of solutions
- 746 Linear transformations - part 4
- 747 Solution of Nonlinear algebraic equations - part 09
- 748 Problems on special distributions - I
- 749 Problems on normal distribution
- 750 Linear transformations - part 2
- 751 Basic Lemma and Uniqueness Theorem
- 752 Infinite series I
- 753 Mathematics in Modern India 2
- 754 Differentiable Function
