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fixed typo in function filename
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README.md
202
README.md
@@ -31,105 +31,105 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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[//]: # list start
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[//]: # list start
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| 0 | Addition | 37+8= | 45 | addition |
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| 0 | Addition | 6+34= | 40 | addition |
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| 1 | Subtraction | 45-36= | 9 | subtraction |
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| 1 | Subtraction | 66-1= | 65 | subtraction |
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| 2 | Multiplication | 92*1= | 92 | multiplication |
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| 2 | Multiplication | 69*1= | 69 | multiplication |
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| 3 | Division | 26/67= | 0.3880597014925373 | division |
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| 3 | Division | 19/52= | 0.36538461538461536 | division |
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| 4 | Binary Complement 1s | 010111011= | 101000100 | binary_complement_1s |
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| 4 | Binary Complement 1s | 10000= | 01111 | binary_complement_1s |
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| 5 | Modulo Division | 64%55= | 9 | modulo_division |
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| 5 | Modulo Division | 79%84= | 79 | modulo_division |
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| 6 | Square Root | sqrt(81)= | 9 | square_root |
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| 6 | Square Root | sqrt(64)= | 8 | square_root |
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| 7 | Power Rule Differentiation | 10x^7 + 5x^9 + 8x^9 + 3x^2 + 7x^5 | 70x^6 + 45x^8 + 72x^8 + 6x^1 + 35x^4 | power_rule_differentiation |
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| 7 | Power Rule Differentiation | 2x^8 + 6x^2 + 10x^7 | 16x^7 + 12x^1 + 70x^6 | power_rule_differentiation |
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| 8 | Square | 16^2= | 256 | square |
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| 8 | Square | 18^2= | 324 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 16 and 1 = | 16 | lcm |
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| 9 | LCM (Least Common Multiple) | LCM of 1 and 14 = | 14 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 2 and 18 = | 2 | gcd |
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| 10 | GCD (Greatest Common Denominator) | GCD of 5 and 7 = | 1 | gcd |
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| 11 | Basic Algebra | 4x + 5 = 10 | 5/4 | basic_algebra |
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| 11 | Basic Algebra | 8x + 1 = 9 | 8 | basic_algebra |
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| 12 | Logarithm | log2(2) | 1 | log |
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| 12 | Logarithm | log2(32) | 5 | log |
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| 13 | Easy Division | 4/1 = | 4 | int_division |
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| 13 | Easy Division | 165/11 = | 15 | int_division |
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| 14 | Decimal to Binary | Binary of 37= | 100101 | decimal_to_binary |
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| 14 | Decimal to Binary | Binary of 95= | 1011111 | decimal_to_binary |
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| 15 | Binary to Decimal | 0100110 | 38 | binary_to_decimal |
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| 15 | Binary to Decimal | 1111001000 | 968 | binary_to_decimal |
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| 16 | Fraction Division | (10/8)/(1/2) | 5/2 | divide_fractions |
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| 16 | Fraction Division | (3/8)/(1/3) | 9/8 | divide_fractions |
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| 17 | Integer Multiplication with 2x2 Matrix | 7 * [[7, 10], [3, 9]] = | [[49,70],[21,63]] | multiply_int_to_22_matrix |
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| 17 | Integer Multiplication with 2x2 Matrix | 11 * [[9, 6], [9, 9]] = | [[99,66],[99,99]] | multiply_int_to_22_matrix |
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| 18 | Area of Triangle | Area of triangle with side lengths: 9 2 5 = | (7.347880794884119e-16+12j) | area_of_triangle |
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| 18 | Area of Triangle | Area of triangle with side lengths: 2 3 9 = | (1.0246130234694952e-15+16.73320053068151j) | area_of_triangle |
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| 19 | Triangle exists check | Does triangle with sides 8, 33 and 19 exist? | No | valid_triangle |
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| 19 | Triangle exists check | Does triangle with sides 15, 24 and 22 exist? | Yes | valid_triangle |
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| 20 | Midpoint of the two point | (-2,1),(6,2)= | (2.0,1.5) | midpoint_of_two_points |
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| 20 | Midpoint of the two point | (8,-11),(8,-6)= | (8.0,-8.5) | midpoint_of_two_points |
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| 21 | Factoring Quadratic | x^2+13x+30 | (x+3)(x+10) | factoring |
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| 21 | Factoring Quadratic | x^2+7x+10 | (x+5)(x+2) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 57 and 85 = | 38 | third_angle_of_triangle |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 53 and 11 = | 116 | third_angle_of_triangle |
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| 23 | Solve a System of Equations in R^2 | -3x + 3y = 39, 4x - 8y = -72 | x = -8, y = 5 | system_of_equations |
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| 23 | Solve a System of Equations in R^2 | -8x - 2y = 78, -8x + 3y = 63 | x = -9, y = -3 | system_of_equations |
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| 24 | Distance between 2 points | Find the distance between (17, 21) and (-14, 1) | sqrt(1361) | distance_two_points |
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| 24 | Distance between 2 points | Find the distance between (-9, -20) and (17, -19) | sqrt(677) | distance_two_points |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 17 and 14 = | 22.02 | pythagorean_theorem |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 17 and 10 = | 19.72 | pythagorean_theorem |
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| 26 | Linear Equations | -16x + 4y = -160, 12x + -1y = 96 | x = 7, y = -12 | linear_equations |
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| 26 | Linear Equations | 20x + -5y = -240, -8x + -9y = -36 | x = -9, y = 12 | linear_equations |
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| 27 | Prime Factorisation | Find prime factors of 117 | [3, 3, 13] | prime_factors |
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| 27 | Prime Factorisation | Find prime factors of 60 | [2, 2, 3, 5] | prime_factors |
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| 28 | Fraction Multiplication | (1/2)*(1/4) | 1/8 | fraction_multiplication |
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| 28 | Fraction Multiplication | (10/8)*(2/8) | 5/16 | fraction_multiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angle_regular_polygon |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 4 sides | 90.0 | angle_regular_polygon |
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| 30 | Combinations of Objects | Number of combinations from 17 objects picked 4 at a time | 2380 | combinations |
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| 30 | Combinations of Objects | Number of combinations from 10 objects picked 1 at a time | 10 | combinations |
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| 31 | Factorial | 6! = | 720 | factorial |
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| 31 | Factorial | 3! = | 6 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surface_area_cube |
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| 32 | Surface Area of Cube | Surface area of cube with side = 5m is | 150 m^2 | surface_area_cube |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 17m, 7m, 16m is | 1006 m^2 | surface_area_cuboid |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 20m, 2m, 4m is | 256 m^2 | surface_area_cuboid |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 4m and radius = 19m is | 2745 m^2 | surface_area_cylinder |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 4m and radius = 6m is | 376 m^2 | surface_area_cylinder |
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| 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volume_cube |
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| 35 | Volum of Cube | Volume of cube with side = 20m is | 8000 m^3 | volume_cube |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 11m, 18m, 9m is | 1782 m^3 | volume_cuboid |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 10m, 6m, 17m is | 1020 m^3 | volume_cuboid |
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| 37 | Volume of cylinder | Volume of cylinder with height = 28m and radius = 17m is | 25421 m^3 | volume_cylinder |
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| 37 | Volume of cylinder | Volume of cylinder with height = 50m and radius = 14m is | 30787 m^3 | volume_cylinder |
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| 38 | Surface Area of cone | Surface area of cone with height = 21m and radius = 7m is | 640 m^2 | surface_area_cone |
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| 38 | Surface Area of cone | Surface area of cone with height = 9m and radius = 5m is | 240 m^2 | surface_area_cone |
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| 39 | Volume of cone | Volume of cone with height = 23m and radius = 13m is | 4070 m^3 | volume_cone |
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| 39 | Volume of cone | Volume of cone with height = 26m and radius = 9m is | 2205 m^3 | volume_cone |
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| 40 | Common Factors | Common Factors of 86 and 2 = | [1, 2] | common_factors |
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| 40 | Common Factors | Common Factors of 85 and 23 = | [1] | common_factors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/4x - 8 and y = -9/4x - 2 | (24/19, -92/19) | intersection_of_two_lines |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -8/2x + 6 and y = -7/5x + 5 | (5/13, 58/13) | intersection_of_two_lines |
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| 42 | Permutations | Number of Permutations from 20 objects picked 5 at a time = | 1860480 | permutation |
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| 42 | Permutations | Number of Permutations from 18 objects picked 9 at a time = | 17643225600 | permutation |
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| 43 | Cross Product of 2 Vectors | [17, -12, 17] X [-13, -17, 10] = | [169, -391, -445] | vector_cross |
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| 43 | Cross Product of 2 Vectors | [-9, -11, -7] X [-6, -14, 4] = | [-142, 78, 60] | vector_cross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 4/10 and 10/3? | < | compare_fractions |
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| 44 | Compare Fractions | Which symbol represents the comparison between 9/1 and 9/4? | > | compare_fractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 8120 dollars, 3% rate of interest and for a time period of 9 years is = | 2192.4 | simple_interest |
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| 45 | Simple Interest | Simple interest for a principle amount of 6270 dollars, 4% rate of interest and for a time period of 8 years is = | 2006.4 | simple_interest |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>1</td><td>4</td><td>-3</td><td>-9</td></tr><tr><td>-10</td><td>-9</td><td>-5</td><td>7</td></tr><tr><td>5</td><td>8</td><td>-7</td><td>5</td></tr></table>and<table><tr><td>-6</td><td>-1</td><td>0</td></tr><tr><td>-4</td><td>7</td><td>-7</td></tr><tr><td>3</td><td>0</td><td>2</td></tr><tr><td>-7</td><td>-8</td><td>-7</td></tr></table> | <table><tr><td>32</td><td>99</td><td>29</td></tr><tr><td>32</td><td>-109</td><td>4</td></tr><tr><td>-118</td><td>11</td><td>-105</td></tr></table> | matrix_multiplication |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>8</td><td>-4</td><td>1</td></tr><tr><td>2</td><td>2</td><td>-1</td></tr></table>and<table><tr><td>3</td><td>-5</td><td>-4</td></tr><tr><td>2</td><td>-10</td><td>-7</td></tr><tr><td>8</td><td>-8</td><td>7</td></tr></table> | <table><tr><td>24</td><td>-8</td><td>3</td></tr><tr><td>2</td><td>-22</td><td>-29</td></tr></table> | matrix_multiplication |
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| 47 | Cube Root | cuberoot of 7 upto 2 decimal places is: | 1.91 | cube_root |
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| 47 | Cube Root | cuberoot of 462 upto 2 decimal places is: | 7.73 | cube_root |
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| 48 | Power Rule Integration | 8x^1 | (8/1)x^2 + c | power_rule_integration |
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| 48 | Power Rule Integration | 3x^5 | (3/5)x^6 + c | power_rule_integration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 44 , 100, 31 = | 185 | fourth_angle_of_quadrilateral |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 173 , 63, 34 = | 90 | fourth_angle_of_quadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 19x^2+181x+1=0 | [-0.01, -9.52] | quadratic_equation |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 64x^2+175x+26=0 | [-0.16, -2.58] | quadratic_equation |
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| 51 | HCF (Highest Common Factor) | HCF of 9 and 4 = | 1 | hcf |
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| 51 | HCF (Highest Common Factor) | HCF of 15 and 3 = | 3 | hcf |
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| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/6 | dice_sum_probability |
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| 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 13 = | 21/216 | dice_sum_probability |
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| 53 | Exponentiation | 2^1 = | 2 | exponentiation |
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| 53 | Exponentiation | 11^9 = | 2357947691 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [241, 269, 277, 202, 271, 215, 260, 265, 216, 267, 297, 219, 262, 273, 212, 268, 294, 210, 286, 235, 270, 231, 272, 289, 245, 283, 250] with 80% confidence is | (261.63267428757547, 247.92288126798007) | confidence_interval |
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| 54 | Confidence interval For sample S | The confidence interval for sample [234, 272, 289, 255, 291, 219, 225, 282, 266, 288, 259, 269, 275, 260, 262, 250, 270, 241, 287, 294, 200, 210, 298, 273] with 90% confidence is | (270.221486487058, 252.19518017960863) | confidence_interval |
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| 55 | Comparing surds | Fill in the blanks 57^(1/5) _ 94^(1/7) | > | surds_comparison |
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| 55 | Comparing surds | Fill in the blanks 22^(1/2) _ 74^(1/6) | > | surds_comparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 9 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21] | fibonacci_series |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 14 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233] | fibonacci_series |
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| 57 | Trigonometric Values | What is sin(90)? | 1 | basic_trigonometry |
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| 57 | Trigonometric Values | What is sin(90)? | 1 | basic_trigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 12 sides = | 1800 | sum_of_polygon_angles |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[39, 33, 10, 49, 21, 9, 9, 20, 50, 10, 41, 12, 50, 50, 29] | The Mean is 28.8 , Standard Deviation is 262.56000000000006, Variance is 16.203703280423277 | data_summary |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[29, 50, 21, 44, 44, 17, 34, 47, 7, 10, 26, 7, 6, 49, 21] | The Mean is 27.466666666666665 , Standard Deviation is 249.5822222222222, Variance is 15.798171483504735 | data_summary |
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| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 3m is | 113.09733552923255 m^2 | surface_area_sphere |
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| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 8m is | 804.247719318987 m^2 | surface_area_sphere |
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| 61 | Volume of Sphere | Volume of sphere with radius 38 m = | 229847.29611703884 m^3 | volume_sphere |
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| 61 | Volume of Sphere | Volume of sphere with radius 80 m = | 2144660.584850632 m^3 | volume_sphere |
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| 62 | nth Fibonacci number | What is the 24th Fibonacci number? | 46368 | nth_fibonacci_number |
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| 62 | nth Fibonacci number | What is the 4th Fibonacci number? | 3 | nth_fibonacci_number |
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| 63 | Profit or Loss Percent | Profit percent when CP = 173 and SP = 357 is: | 106.35838150289017 | profit_loss_percent |
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| 63 | Profit or Loss Percent | Profit percent when CP = 37 and SP = 447 is: | 1108.1081081081081 | profit_loss_percent |
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| 64 | Binary to Hexidecimal | 1000110 | 0x46 | binary_to_hex |
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| 64 | Binary to Hexidecimal | 01100001 | 0x61 | binary_to_hex |
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| 65 | Multiplication of 2 complex numbers | (14-4j) * (5-12j) = | (22-188j) | multiply_complex_numbers |
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| 65 | Multiplication of 2 complex numbers | (17+7j) * (7+14j) = | (21+287j) | multiply_complex_numbers |
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| 66 | Geometric Progression | For the given GP [11, 66, 396, 2376, 14256, 85536] ,Find the value of a,common ratio,11th term value, sum upto 7th term | The value of a is 11, common ratio is 6 , 11th term is 665127936 , sum upto 7th term is 615857.0 | geometric_progression |
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| 66 | Geometric Progression | For the given GP [12, 60, 300, 1500, 7500, 37500] ,Find the value of a,common ratio,8th term value, sum upto 6th term | The value of a is 12, common ratio is 5 , 8th term is 937500 , sum upto 6th term is 46872.0 | geometric_progression |
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| 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 61 and 67 = | (61*67)^(1/2) = 63.92964883369844 | geometric_mean |
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| 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 46 and 20 = | (46*20)^(1/2) = 30.331501776206203 | geometric_mean |
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| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 62 and 84 = | 2/((1/62) + (1/84)) = 71.34246575342466 | harmonic_mean |
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| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 35 and 3 = | 2/((1/35) + (1/3)) = 5.526315789473684 | harmonic_mean |
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| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[783.9868296299311, 482.5604033573253, 863.1029339509203, 956.7790571651393, 863.0425006034349] is: | 1803.5285106129884 | euclidian_norm |
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| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[653.9717397584312, 689.1069921882294, 19.887404949723187, 17.33889409833278, 762.6266577725075, 189.70375690805275, 673.7332899787874] is: | 1405.2569550674714 | euclidian_norm |
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| 70 | Angle between 2 vectors | angle between the vectors [379.65, 308.56] and [100.22, 686.67] is: | 0.74 radians | angle_btw_vectors |
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| 70 | Angle between 2 vectors | angle between the vectors [638.9, 178.91, 936.86, 859.08, 27.18, 730.15, 513.96, 244.4, 698.55] and [546.02, 51.57, 631.8, 932.17, 558.58, 598.42, 537.63, 334.25, 289.47] is: | 0.43 radians | angle_btw_vectors |
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| 71 | Absolute difference between two numbers | Absolute difference between numbers 18 and 79 = | 61 | absolute_difference |
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| 71 | Absolute difference between two numbers | Absolute difference between numbers -98 and 73 = | 171 | absolute_difference |
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| 72 | Dot Product of 2 Vectors | [14, 11, -1] . [-20, 10, 18] = | -188 | vector_dot |
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| 72 | Dot Product of 2 Vectors | [11, -12, -15] . [1, -1, 3] = | -22 | vector_dot |
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| 73 | Binary 2's Complement | 2's complement of 111110 = | 10 | binary_2s_complement |
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| 73 | Binary 2's Complement | 2's complement of 1 = | 1 | binary_2s_complement |
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| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[68, 2, 85], [70, 19, 47], [17, 38, 6]]) is: | Matrix([[-1672/85707, 3218/85707, -169/9523], [379/85707, -1037/85707, 306/9523], [779/28569, -850/28569, 128/9523]]) | invert_matrix |
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| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[75, 30, 13], [5, 89, 16], [74, 48, 59]]) is: | Matrix([[4483/280397, -1146/280397, -677/280397], [889/280397, 3463/280397, -1135/280397], [-6346/280397, -1380/280397, 6525/280397]]) | invert_matrix |
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| 75 | Area of a Sector | Given radius, 18 and angle, 67. Find the area of the sector. | Area of sector = 189.43804 | sector_area |
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| 75 | Area of a Sector | Given radius, 18 and angle, 137. Find the area of the sector. | Area of sector = 387.35837 | sector_area |
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| 76 | Mean and Median | Given the series of numbers [40, 66, 30, 32, 78, 27, 6, 35, 86, 3]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 40.3 and Arithmetic median of this series is 33.5 | mean_median |
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| 76 | Mean and Median | Given the series of numbers [80, 93, 16, 39, 48, 88, 7, 95, 40, 2]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.8 and Arithmetic median of this series is 44.0 | mean_median |
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| 77 | Determinant to 2x2 Matrix | Det([[65, 36], [75, 98]]) = | 3670 | int_matrix_22_determinant |
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| 77 | Determinant to 2x2 Matrix | Det([[68, 11], [22, 34]]) = | 2070 | int_matrix_22_determinant |
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| 78 | Compound Interest | Compound interest for a principle amount of 9481 dollars, 5% rate of interest and for a time period of 1 year is = | 9955.05 | compound_interest |
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| 78 | Compound Interest | Compound interest for a principle amount of 6075 dollars, 8% rate of interest and for a time period of 9 year is = | 12143.95 | compound_interest |
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| 79 | Decimal to Hexadecimal | Binary of 972= | 0x3cc | decimal_to_hexadeci |
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| 79 | Decimal to Hexadecimal | Binary of 716= | 0x2cc | decimal_to_hexadeci |
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| 80 | Percentage of a number | What is 92% of 17? | Required percentage = 15.64% | percentage |
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| 80 | Percentage of a number | What is 13% of 5? | Required percentage = 0.65% | percentage |
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| 81 | Celsius To Fahrenheit | Convert 68 degrees Celsius to degrees Fahrenheit = | 154.4 | celsius_to_fahrenheit |
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| 81 | Celsius To Fahrenheit | Convert -42 degrees Celsius to degrees Fahrenheit = | -43.60000000000001 | celsius_to_fahrenheit |
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| 82 | AP Term Calculation | Find the term number 58 of the AP series: 21, -42, -105 ... | -3570 | arithmetic_progression_term |
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| 82 | AP Term Calculation | Find the term number 11 of the AP series: -17, 71, 159 ... | 863 | arithmetic_progression_term |
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| 83 | AP Sum Calculation | Find the sum of first 6 terms of the AP series: -37, -108, -179 ... | -1287.0 | arithmetic_progression_sum |
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| 83 | AP Sum Calculation | Find the sum of first 80 terms of the AP series: 2, 86, 170 ... | 265600.0 | arithmetic_progression_sum |
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| 84 | Converts decimal to octal | The decimal number 988 in Octal is: | 0o1734 | decimal_to_octal |
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| 84 | Converts decimal to octal | The decimal number 3350 in Octal is: | 0o6426 | decimal_to_octal |
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| 85 | Converts decimal to Roman Numerals | The number 1930 in Roman Numerals is: | MCMXXX | decimal_to_roman_numerals |
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| 85 | Converts decimal to Roman Numerals | The number 1203 in Roman Numerals is: | MCCIII | decimal_to_roman_numerals |
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| 86 | Degrees to Radians | Angle 87 in radians is = | 1.52 | degree_to_rad |
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| 86 | Degrees to Radians | Angle 313 in radians is = | 5.46 | degree_to_rad |
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| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg |
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| 87 | Radians to Degrees | Angle 1 in degrees is = | 57.3 | radian_to_deg |
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| 88 | Differentiation | differentiate w.r.t x : d(cos(x)+7*x^(-4))/dx | -sin(x) - 28/x^5 | differentiation |
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| 88 | Differentiation | differentiate w.r.t x : d(cos(x)+6*x^(-2))/dx | -sin(x) - 12/x^3 | differentiation |
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| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 12x^2 + 95x + 87 is = | 138.5 | definite_integral |
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| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 24x^2 + 13x + 13 is = | 27.5 | definite_integral |
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| 90 | isprime | 77 | False | is_prime |
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| 90 | isprime | 84 | False | is_prime |
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| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 3 is = | 13891 | bcd_to_decimal |
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| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5458 | bcd_to_decimal |
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| 92 | Complex To Polar Form | rexp(itheta) = | 21.63exp(i-2.16) | complex_to_polar |
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| 92 | Complex To Polar Form | rexp(itheta) = | 12.21exp(i0.61) | complex_to_polar |
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| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 3, 4, 5, 7} ,b={1, 3, 4, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 7},Intersection is {1, 3, 4, 7}, a-b is {5},b-a is set(), Symmetric difference is {5} | set_operation |
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| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={10, 3, 4, 7} ,b={2, 5, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 5, 6, 7, 10},Intersection is {7}, a-b is {10, 3, 4},b-a is {2, 5, 6}, Symmetric difference is {2, 3, 4, 5, 6, 10} | set_operation |
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| 94 | Base Conversion | Convert 6C38 from base 15 to base 10. | 23003 | base_conversion |
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| 94 | Base Conversion | Convert 44854 from base 10 to base 2. | 1010111100110110 | base_conversion |
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| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 15 and height, 67? | CSA of cylinder = 6314.6 | curved_surface_area_cylinder |
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| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 1 and height, 20? | CSA of cylinder = 125.66 | curved_surface_area_cylinder |
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| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [34, 21, 86, 40, 83, 32, 4, 75, 86, 106, 48]cm is: | 615 | perimeter_of_polygons |
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| 96 | Perimeter of Polygons | The perimeter of a 9 sided polygon with lengths of [35, 114, 106, 106, 66, 53, 18, 96, 27]cm is: | 621 | perimeter_of_polygons |
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| 97 | Power of Powers | The 4^8^4 = 4^(8*4) = 4^32 | 18446744073709551616 | power_of_powers |
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| 97 | Power of Powers | The 15^7^6 = 15^(7*6) = 15^42 | 24878997722115027320114677422679960727691650390625 | power_of_powers |
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| 98 | Quotient of Powers with Same Base | The Quotient of 17^6 and 17^5 = 17^(6-5) = 17^1 | 17 | quotient_of_power_same_base |
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| 98 | Quotient of Powers with Same Base | The Quotient of 47^3 and 47^10 = 47^(3-10) = 47^-7 | 1.973853856267171e-12 | quotient_of_power_same_base |
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| 99 | Quotient of Powers with Same Power | The Quotient of 45^7 and 41^7 = (45/41)^7 = 1.0975609756097562^7 | 1.9186713887127431 | quotient_of_power_same_power |
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| 99 | Quotient of Powers with Same Power | The Quotient of 34^1 and 17^1 = (34/17)^1 = 2.0^1 | 2.0 | quotient_of_power_same_power |
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| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 6x^2 + 8x + 2 = 0 | simplified solution : ((-0.333, -1.0)), generalized solution : ((-8 + 4)/2*6, (-8 - 4)/2*6) | complex_quadratic |
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| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 4x^2 + 8x + 3 = 0 | simplified solution : ((-0.5, -1.5)), generalized solution : ((-8 + 4)/2*4, (-8 - 4)/2*4) | complex_quadratic |
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| 101 | Conditional Probability | Someone tested positive for a nasty disease which only 1.96% of population have. Test sensitivity (true positive) is equal to SN= 99.00% whereas test specificity (true negative) SP= 94.80%. What is the probability that this guy really has that disease? | 27.57% | conitionalProbability |
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| 101 | Conditional Probability | Someone tested positive for a nasty disease which only 1.61% of population have. Test sensitivity (true positive) is equal to SN= 93.28% whereas test specificity (true negative) SP= 92.26%. What is the probability that this guy really has that disease? | 16.47% | conditionalProbability |
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@@ -105,4 +105,4 @@ from .power_of_powers import *
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from .quotient_of_power_same_base import *
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from .quotient_of_power_same_base import *
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from .quotient_of_power_same_power import *
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from .quotient_of_power_same_power import *
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from .complex_quadratic import *
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from .complex_quadratic import *
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from .conitionalProbability import *
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from .conditionalProbability import *
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Reference in New Issue
Block a user