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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 8: The Frobenius method solution, Energy levels and wavefunctions

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 8: The Frobenius method solution, Energy levels and wavefunctions

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 9: Non-relativistic reduction, The Foldy-Wouthuysen transformation

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 9: Non-relativistic reduction, The Foldy-Wouthuysen transformation

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 10: Interpretation of relativistic corrections, Reflection from a potential barrier

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 10: Interpretation of relativistic corrections, Reflection from a potential barrier

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 11: The Klein paradox, Pair creation process and examples

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 11: The Klein paradox, Pair creation process and examples

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 12: Zitterbewegung, Hole theory and antiparticles

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 12: Zitterbewegung, Hole theory and antiparticles

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 13: Charge conjugation symmetry, Chirality, Projection operators

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 13: Charge conjugation symmetry, Chirality, Projection operators

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 14: Weyl and Majorana representations of the Dirac equation

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 14: Weyl and Majorana representations of the Dirac equation

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 15: Time reversal symmetry, The PCT invariance

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 15: Time reversal symmetry, The PCT invariance

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 16: Arrow of time and particle-antiparticle asymmetry, Band theory for graphene

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 16: Arrow of time and particle-antiparticle asymmetry, Band theory for graphene

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 17: Dirac equation structure of low energy graphene states

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 17: Dirac equation structure of low energy graphene states

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 18: Groups and symmetries, The Lorentz and Poincare groups

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 18: Groups and symmetries, The Lorentz and Poincare groups

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 19: Group representations, generators and algebra, Translations, rotations and boosts

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 19: Group representations, generators and algebra, Translations, rotations and boosts

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 20: The spinor representation of SL(2,C), The spin-statistics theorem

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 20: The spinor representation of SL(2,C), The spin-statistics theorem

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 21: Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 21: Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 22: Classification of one particle states, The little group, Mass, spin and helicity

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 22: Classification of one particle states, The little group, Mass, spin and helicity

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 23: Massive and massless one particle states

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 23: Massive and massless one particle states

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 24: P and T transformations, Lorentz covariance of spinors

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 24: P and T transformations, Lorentz covariance of spinors

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 25: Lorentz group classification of Dirac operators, Orthogonality

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 25: Lorentz group classification of Dirac operators, Orthogonality

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 26: Propagator theory, Non-relativistic case and causality

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 26: Propagator theory, Non-relativistic case and causality

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 27: Relativistic case, Particle and antiparticle contributions, Feynman prescription

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 27: Relativistic case, Particle and antiparticle contributions, Feynman prescription

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 28: Interactions and formal perturbative theory, The S-matrix and Feynman diagrams

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 28: Interactions and formal perturbative theory, The S-matrix and Feynman diagrams

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 29: Trace theorems for products of Dirac matrices

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 29: Trace theorems for products of Dirac matrices

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 30: Photons and the gauge symmetry

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 30: Photons and the gauge symmetry

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 31: Abelian local gauge symmetry, The covariant derivative and invariants

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 31: Abelian local gauge symmetry, The covariant derivative and invariants

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 32: Charge quantisation, Photon propagator, Current conservation and polarisations

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 32: Charge quantisation, Photon propagator, Current conservation and polarisations

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 33: Feynman rules for Quantum Electrodynamics, Nature of perturbative expansion

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 33: Feynman rules for Quantum Electrodynamics, Nature of perturbative expansion

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 34: Dyson's analysis of the perturbation series, Singularities of the S-matrix

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 34: Dyson's analysis of the perturbation series, Singularities of the S-matrix

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 35: The T-matrix, Coulomb scattering

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 35: The T-matrix, Coulomb scattering

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 36: Mott cross-section, Compton scattering

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 36: Mott cross-section, Compton scattering

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 37: Klein-Nishina result for cross-section

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 37: Klein-Nishina result for cross-section

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 38: Photon polarisation sums, Pair production through annihilation

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 38: Photon polarisation sums, Pair production through annihilation

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 39: Unpolarised and polarised cross-sections

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 39: Unpolarised and polarised cross-sections

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 40: Helicity properties, Bound state formation

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 40: Helicity properties, Bound state formation

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 41: Bound state decay, Non-relativistic potentials

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 41: Bound state decay, Non-relativistic potentials

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 42: Lagrangian formulation of QED, Divergences in Green's functions

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 42: Lagrangian formulation of QED, Divergences in Green's functions

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 43: Infrared divergences due to massless particles, Renormalisation

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 43: Infrared divergences due to massless particles, Renormalisation

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 44: Symmetry constraints on Green's functions, Furry's theorem, Ward-Takahashi identity

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 44: Symmetry constraints on Green's functions, Furry's theorem, Ward-Takahashi identity

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Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 45: Status of QED, Organisation of perturbative expansion, Precision tests

Relativistic QM by Prof. Apoorva Patel (NPTEL):- Lecture 45: Status of QED, Organisation of perturbative expansion, Precision tests

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Ex: Find Parametric Equations of a Line in Space Parallel to a Vector Containing a Given Point

Ex: Find Parametric Equations of a Line in Space Parallel to a Vector Containing a Given Point

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Ex: Find the Parametric Equations of a Line Perpendicular to a Plane Through a Point

Ex: Find the Parametric Equations of a Line Perpendicular to a Plane Through a Point

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Ex 2: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

Ex 2: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

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Ex 1: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

Ex 1: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

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Ex: Find the Point Where a Line in 3D Intersects the xz-plane

Ex: Find the Point Where a Line in 3D Intersects the xz-plane

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Ex: Find the Parametric Equations of a Line in Space Given Two Points on the Line

Ex: Find the Parametric Equations of a Line in Space Given Two Points on the Line

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Ex: Find the Equation of a Plane Given a Point in the Plane and a Parallel Plane

Ex: Find the Equation of a Plane Given a Point in the Plane and a Parallel Plane

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Ex: Find the Equation of Plane Containing a Line and Orthogonal to a Given Plane

Ex: Find the Equation of Plane Containing a Line and Orthogonal to a Given Plane

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Ex: Find the Equation of a Plane Given an Orthogonal Line (Parametric) and a Point

Ex: Find the Equation of a Plane Given an Orthogonal Line (Parametric) and a Point

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Ex: Find the Equation of a Plane Given Three Points in the Plane Using Vectors

Ex: Find the Equation of a Plane Given Three Points in the Plane Using Vectors

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Ex: Find the Equation of the Plane Containing a Given Line and a Point Using Vectors

Ex: Find the Equation of the Plane Containing a Given Line and a Point Using Vectors

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Ex: Find the Distance Between Two Parallel Planes

Ex: Find the Distance Between Two Parallel Planes

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Determining the Distance Between a Line and a Point

Determining the Distance Between a Line and a Point

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Determining the Distance Between a Plane and a Point

Determining the Distance Between a Plane and a Point

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Determining the Angle Between Two Planes

Determining the Angle Between Two Planes

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Determine the Linear Equation of the Intersection to Two Planes

Determine the Linear Equation of the Intersection to Two Planes

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Find an Equation of a Plane Containing a Given Point and the Intersection of Two Planes

Find an Equation of a Plane Containing a Given Point and the Intersection of Two Planes

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Find an Equation of a Plane Containing a Line and Orthogonal to a Given Plane

Find an Equation of a Plane Containing a Line and Orthogonal to a Given Plane

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Ex: Determine the Point of Intersection of a Plane and a Line.

Ex: Determine the Point of Intersection of a Plane and a Line.

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Graphing a Plane in 3D

Graphing a Plane in 3D

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The Equation of a Plane in 3D Using Vectors

The Equation of a Plane in 3D Using Vectors

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Ex: Determine the Equation of a Plane Given a Point and Normal Vector

Ex: Determine the Equation of a Plane Given a Point and Normal Vector

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Parametric Equations of Lines in 3D

Parametric Equations of Lines in 3D

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The Triple Scalar Product: Volume of a Parallelepiped

The Triple Scalar Product: Volume of a Parallelepiped

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An Application of Cross Products: Torque

An Application of Cross Products: Torque

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Ex: Find the Distance Between Two Points In Space

Ex: Find the Distance Between Two Points In Space

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Ex: Find the Area of a Triangle Using Vectors - 3D

Ex: Find the Area of a Triangle Using Vectors - 3D

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Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference

Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference

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Ex 1: Properties of Cross Products - Cross Product of a Sum and Difference

Ex 1: Properties of Cross Products - Cross Product of a Sum and Difference

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Ex: Find Two Unit Vectors Orthogonal to Two Given Vectors

Ex: Find Two Unit Vectors Orthogonal to Two Given Vectors

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Ex: Find the Cross Product of Two Vectors

Ex: Find the Cross Product of Two Vectors

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Vector Cross Products

Vector Cross Products

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Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

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Ex: Find the Sum of Scalar Multiples of Two Vectors in 3D (Component Form)

Ex: Find the Sum of Scalar Multiples of Two Vectors in 3D (Component Form)

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Ex: Find the Magnitude of a Vector in 3D

Ex: Find the Magnitude of a Vector in 3D

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Ex: Find a Unit Vector in the Direction of a Given Vector in 3D

Ex: Find a Unit Vector in the Direction of a Given Vector in 3D

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Ex: Find the Component Form of a Vector in Space Given the Initial and Terminal Point

Ex: Find the Component Form of a Vector in Space Given the Initial and Terminal Point

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Ex: Vector Projection in Three Dimensions

Ex: Vector Projection in Three Dimensions

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Ex: Find the Angle Between Two Vectors in Three Dimensions

Ex: Find the Angle Between Two Vectors in Three Dimensions

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Ex: Find the Component of a Vector so Two Vectors are Orthogonal (3D)

Ex: Find the Component of a Vector so Two Vectors are Orthogonal (3D)

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Ex: Dot Product of Vectors - 3D

Ex: Dot Product of Vectors - 3D

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Parallel Vectors

Parallel Vectors

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Vectors in Space

Vectors in Space

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Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

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The Equation of a Sphere

The Equation of a Sphere

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Ex: Equation of a Sphere Given the Center and Radius

Ex: Equation of a Sphere Given the Center and Radius

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Ex: Determine the Distance Between a Point and a Coordinate Plane in R3

Ex: Determine the Distance Between a Point and a Coordinate Plane in R3

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Graphing a Plane Using Intercepts

Graphing a Plane Using Intercepts

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The Equations of the Coordinate Planes in R3

The Equations of the Coordinate Planes in R3

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Plotting Points in 3D

Plotting Points in 3D

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 1

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 1

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 2

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 2

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 3

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 3

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 4

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 4

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 5

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Introduction 5

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- State Space Search - Introduction

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- State Space Search - Introduction

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Search - DFS and BFS

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Search - DFS and BFS

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Search DFID

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Search DFID

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Heuristic Search

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Heuristic Search

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Hill climbing

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Hill climbing

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Solution Space Search, Beam Search

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- Solution Space Search, Beam Search

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Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- TSP Greedy Methods

Artificial Intelligence by Prof. Deepak Khemani (NPTEL):- TSP Greedy Methods

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