Modular Arithmetic
83 videos • 50,410 views • by Engineering Vidya
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1. Introduction of Modular Arithmetic
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2. Road Map of Modular Arithmetic
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3.1 Calculation of Modulus value
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3.2 Calculation of Modulus value
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4.1 Solving the a≡b(mod m) congruence.
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4.2. Problem Solving on a ≡ b(mod m)
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5. Commutative Law and Associative Law of Modular Arithmetic.
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6. Commutative Law and Associative Law of Modular Arithmetic.
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7. Computation GCD using Euclidean Algorithm.
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8. GCD using Euclidean Algorithm
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9. Diophantine Equation of Modular Arithmetic.
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10. Diophantine Equation of Modular Arithmetic.
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11. Diophantine Equation of Modular Arithmetic.
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14.Diophantine Equation of Modular Arithmetic.
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16. Inverse Modulus in Modular Arithmetic
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17. Inverse Modulus calculation in Modular Arithmetic
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21. Inverse Modulus Calculation in Modular Arithmetic.
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22. Introduction of Solution of Linear Congruence 𝒂𝒙 ≡ 𝒃(𝒎𝒐𝒅 𝒎)
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23. Solution of Linear Congruence 𝒂𝒙 ≡ 𝒃(𝒎𝒐𝒅 𝒎) part-1
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30. Chinese Remainder Theorem Introduction. (Part-1)
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31. Chinese Remainder Theorem Algorithm. (Part-2)
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36.Chinese Remainder Theorem Problem Solving. (Part-7)
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38. Modular Exponentiation using Distributive Law
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39. Modular Exponentiation Calculation using Distributive Law. (Part-1.)
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44. Fermat's Little Theorem
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52. Relative Prime Number or Co-prime Number
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53. Euler Totient Function.
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54. Properties of Euler Totient Function.
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56. Euler's Theorem
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61. Euler's Theorem to simplify Linear congruence 𝐚𝐱≡𝐛(𝐦𝐨𝐝 𝐦)
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64. Prime Number Generation.
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65. Mathematical Calculation of Prime Number Generation
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66. Prime Number and Composite Number Test
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69. Quadratic Residue
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71. Legendre Symbol
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72. Problem Solving on Legendre Symbol
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73. Problem Solving on Legendre Symbol
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74. Problem Solving on Legendre Symbol
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76. Jacobi Symbol
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77. Problem Solving on Jacobi Symbol
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78. Problem Solving on Jacobi Symbol
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79. Problem Solving on Jacobi Symbol
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80. Problem Solving on Jacobi Symbol
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