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Merge branch 'master' into nella17-patch
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Luke Weiler
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README.md
216
README.md
@@ -31,111 +31,113 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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[//]: # list start
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| 0 | Addition | 32+29= | 61 | addition |
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| 1 | Subtraction | 45-12= | 33 | subtraction |
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| 2 | Multiplication | 25*3= | 75 | multiplication |
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| 3 | Division | 32/95= | 0.3368421052631579 | division |
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| 4 | Binary Complement 1s | 11= | 00 | binary_complement_1s |
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| 5 | Modulo Division | 22%45= | 22 | modulo_division |
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| 6 | Square Root | sqrt(144)= | 12 | square_root |
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| 7 | Power Rule Differentiation | 3x^1 | 3x^0 | power_rule_differentiation |
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| 8 | Square | 2^2= | 4 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 5 and 18 = | 90 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 16 and 16 = | 16 | gcd |
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| 11 | Basic Algebra | 8x + 2 = 5 | 3/8 | basic_algebra |
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| 12 | Logarithm | log2(128) | 7 | log |
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| 13 | Easy Division | 525/25 = | 21 | int_division |
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| 14 | Decimal to Binary | Binary of 39= | 100111 | decimal_to_binary |
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| 15 | Binary to Decimal | 01110 | 14 | binary_to_decimal |
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| 16 | Fraction Division | (9/4)/(8/4) | 9/8 | divide_fractions |
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| 17 | Integer Multiplication with 2x2 Matrix | 7 * [[3, 3], [9, 2]] = | [[21,21],[63,14]] | multiply_int_to_22_matrix |
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| 18 | Area of Triangle | Area of triangle with side lengths: 18 7 5 = | (3.67394039744206e-15+60j) | area_of_triangle |
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| 19 | Triangle exists check | Does triangle with sides 31, 49 and 15 exist? | No | valid_triangle |
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| 20 | Midpoint of the two point | (7,-13),(-11,-20)= | (-2.0,-16.5) | midpoint_of_two_points |
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| 21 | Factoring Quadratic | x^2+15x+56 | (x+7)(x+8) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 68 and 72 = | 40 | third_angle_of_triangle |
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| 23 | Solve a System of Equations in R^2 | -x - 8y = 57, -7x - 7y = 56 | x = -1, y = -7 | system_of_equations |
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| 24 | Distance between 2 points | Find the distance between (-18, -4) and (20, -1) | sqrt(1453) | distance_two_points |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 14 and 16 = | 21.26 | pythagorean_theorem |
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| 26 | Linear Equations | -8x + 9y = -159, 4x + -7y = 97 | x = 12, y = -7 | linear_equations |
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| 27 | Prime Factorisation | Find prime factors of 22 | [2, 11] | prime_factors |
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| 28 | Fraction Multiplication | (5/9)*(3/8) | 5/24 | fraction_multiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angle_regular_polygon |
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| 30 | Combinations of Objects | Number of combinations from 20 objects picked 0 at a time | 1 | combinations |
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| 31 | Factorial | 4! = | 24 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 13m is | 1014 m^2 | surface_area_cube |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 4m, 3m, 10m is | 164 m^2 | surface_area_cuboid |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 30m and radius = 3m is | 622 m^2 | surface_area_cylinder |
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| 35 | Volum of Cube | Volume of cube with side = 3m is | 27 m^3 | volume_cube |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 18m, 4m, 20m is | 1440 m^3 | volume_cuboid |
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| 37 | Volume of cylinder | Volume of cylinder with height = 8m and radius = 2m is | 100 m^3 | volume_cylinder |
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| 38 | Surface Area of cone | Surface area of cone with height = 9m and radius = 18m is | 2155 m^2 | surface_area_cone |
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| 39 | Volume of cone | Volume of cone with height = 8m and radius = 12m is | 1206 m^3 | volume_cone |
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| 40 | Common Factors | Common Factors of 94 and 86 = | [1, 2] | common_factors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 0/2x - 2 and y = 10/3x - 4 | (3/5, -2) | intersection_of_two_lines |
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| 42 | Permutations | Number of Permutations from 11 objects picked 4 at a time = | 7920 | permutation |
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| 43 | Cross Product of 2 Vectors | [-19, -10, -19] X [-8, -15, 19] = | [-475, 513, 205] | vector_cross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 8/5 and 4/5? | > | compare_fractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 1700 dollars, 9% rate of interest and for a time period of 2 years is = | 306.0 | simple_interest |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>7</td><td>-8</td></tr><tr><td>-2</td><td>-2</td></tr><tr><td>5</td><td>-9</td></tr><tr><td>7</td><td>-8</td></tr></table>and<table><tr><td>-10</td><td>-2</td><td>2</td></tr><tr><td>3</td><td>-4</td><td>8</td></tr></table> | <table><tr><td>-94</td><td>18</td><td>-50</td></tr><tr><td>14</td><td>12</td><td>-20</td></tr><tr><td>-77</td><td>26</td><td>-62</td></tr><tr><td>-94</td><td>18</td><td>-50</td></tr></table> | matrix_multiplication |
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| 47 | Cube Root | cuberoot of 273 upto 2 decimal places is: | 6.49 | cube_root |
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| 48 | Power Rule Integration | 3x^5 + 10x^6 + 2x^7 + 2x^9 | (3/5)x^6 + (10/6)x^7 + (2/7)x^8 + (2/9)x^10 + c | power_rule_integration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 29 , 193, 28 = | 110 | fourth_angle_of_quadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+196x+10=0 | [-0.05, -3.79] | quadratic_equation |
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| 51 | HCF (Highest Common Factor) | HCF of 1 and 13 = | 1 | hcf |
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| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 7 = | 6/36 | dice_sum_probability |
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| 53 | Exponentiation | 14^5 = | 537824 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [286, 254, 294, 290, 235, 252, 297, 262, 238, 281, 248, 275, 282, 293, 232, 233, 288, 236, 250, 242, 241, 261] with 90% confidence is | (270.2008805103011, 254.34457403515344) | confidence_interval |
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| 55 | Comparing surds | Fill in the blanks 59^(1/5) _ 34^(1/7) | > | surds_comparison |
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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(60)? | √3/2 | basic_trigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 6 sides = | 720 | sum_of_polygon_angles |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[46, 12, 41, 13, 40, 14, 21, 24, 5, 43, 34, 19, 9, 18, 39] | The Mean is 25.2 , Standard Deviation is 180.96000000000004, Variance is 13.452137376640191 | data_summary |
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| 0 | Addition | 10+48= | 58 | addition |
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| 1 | Subtraction | 92-21= | 71 | subtraction |
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| 2 | Multiplication | 89*0= | 0 | multiplication |
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| 3 | Division | 9/11= | 0.8181818181818182 | division |
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| 4 | Binary Complement 1s | 11001= | 00110 | binary_complement_1s |
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| 5 | Modulo Division | 45%50= | 45 | modulo_division |
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| 6 | Square Root | sqrt(25)= | 5 | square_root |
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| 7 | Power Rule Differentiation | 3x^8 + 3x^3 + 8x^4 + 8x^8 + 8x^5 | 24x^7 + 9x^2 + 32x^3 + 64x^7 + 40x^4 | power_rule_differentiation |
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| 8 | Square | 3^2= | 9 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 13 and 16 = | 208 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 20 = | 1 | gcd |
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| 11 | Basic Algebra | 4x + 2 = 9 | 7/4 | basic_algebra |
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| 12 | Logarithm | log2(8) | 3 | log |
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| 13 | Easy Division | 10/5 = | 2 | int_division |
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| 14 | Decimal to Binary | Binary of 89= | 1011001 | decimal_to_binary |
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| 15 | Binary to Decimal | 00011010 | 26 | binary_to_decimal |
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| 16 | Fraction Division | (5/9)/(5/1) | 1/9 | divide_fractions |
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| 17 | Integer Multiplication with 2x2 Matrix | 9 * [[7, 6], [0, 3]] = | [[63,54],[0,27]] | multiply_int_to_22_matrix |
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| 18 | Area of Triangle | Area of triangle with side lengths: 7 6 9 = | 20.97617696340303 | area_of_triangle |
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| 19 | Triangle exists check | Does triangle with sides 1, 9 and 28 exist? | No | valid_triangle |
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| 20 | Midpoint of the two point | (11,-12),(-16,-17)= | (-2.5,-14.5) | midpoint_of_two_points |
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| 21 | Factoring Quadratic | x^2+6x-7 | (x-1)(x+7) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 76 and 64 = | 40 | third_angle_of_triangle |
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| 23 | Solve a System of Equations in R^2 | -3x - 7y = -56, -8x + 5y = 40 | x = 0, y = 8 | system_of_equations |
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| 24 | Distance between 2 points | Find the distance between (-14, 5) and (9, -4) | sqrt(610) | distance_two_points |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 9 and 9 = | 12.73 | pythagorean_theorem |
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| 26 | Linear Equations | 15x = -75, 15x + -10y = -35 | x = -5, y = -4 | linear_equations |
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| 27 | Prime Factorisation | Find prime factors of 101 | [101] | prime_factors |
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| 28 | Fraction Multiplication | (6/2)*(10/4) | 15/2 | fraction_multiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 12 sides | 150.0 | angle_regular_polygon |
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| 30 | Combinations of Objects | Number of combinations from 13 objects picked 6 at a time | 1716 | combinations |
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| 31 | Factorial | 6! = | 720 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 11m is | 726 m^2 | surface_area_cube |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 14m, 3m is | 696 m^2 | surface_area_cuboid |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 28m and radius = 16m is | 4423 m^2 | surface_area_cylinder |
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| 35 | Volum of Cube | Volume of cube with side = 8m is | 512 m^3 | volume_cube |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 11m, 18m is | 3366 m^3 | volume_cuboid |
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| 37 | Volume of cylinder | Volume of cylinder with height = 45m and radius = 7m is | 6927 m^3 | volume_cylinder |
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| 38 | Surface Area of cone | Surface area of cone with height = 19m and radius = 8m is | 719 m^2 | surface_area_cone |
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| 39 | Volume of cone | Volume of cone with height = 44m and radius = 11m is | 5575 m^3 | volume_cone |
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| 40 | Common Factors | Common Factors of 51 and 44 = | [1] | common_factors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7/3x - 5 and y = -1/2x - 8 | (18/11, -97/11) | intersection_of_two_lines |
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| 42 | Permutations | Number of Permutations from 14 objects picked 3 at a time = | 2184 | permutation |
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| 43 | Cross Product of 2 Vectors | [-12, 13, 1] X [-19, 11, 14] = | [171, 149, 115] | vector_cross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 3/8 and 6/9? | < | compare_fractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 8192 dollars, 2% rate of interest and for a time period of 2 years is = | 327.68 | simple_interest |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>2</td><td>5</td></tr><tr><td>-10</td><td>-5</td></tr><tr><td>9</td><td>9</td></tr></table>and<table><tr><td>4</td><td>-5</td></tr><tr><td>-10</td><td>-3</td></tr></table> | <table><tr><td>-42</td><td>-25</td></tr><tr><td>10</td><td>65</td></tr><tr><td>-54</td><td>-72</td></tr></table> | matrix_multiplication |
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| 47 | Cube Root | cuberoot of 694 upto 2 decimal places is: | 8.85 | cube_root |
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| 48 | Power Rule Integration | 1x^3 + 9x^3 | (1/3)x^4 + (9/3)x^4 + c | power_rule_integration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 18 , 32, 236 = | 74 | fourth_angle_of_quadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 75x^2+121x+43=0 | [-0.53, -1.08] | quadratic_equation |
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| 51 | HCF (Highest Common Factor) | HCF of 19 and 10 = | 1 | hcf |
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| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 9 = | 4/36 | dice_sum_probability |
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| 53 | Exponentiation | 2^10 = | 1024 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [235, 266, 205, 259, 244, 267, 261, 275, 248, 210, 287, 297, 212, 272, 228, 271, 249, 225, 280, 298, 237] with 90% confidence is | (263.3453075787769, 243.89278765931834) | confidence_interval |
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| 55 | Comparing surds | Fill in the blanks 29^(1/8) _ 89^(1/9) | < | surds_comparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 6 numbers is ? | [0, 1, 1, 2, 3, 5] | fibonacci_series |
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| 57 | Trigonometric Values | What is tan(60)? | √3 | basic_trigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sum_of_polygon_angles |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[27, 39, 33, 10, 44, 14, 37, 17, 40, 35, 19, 11, 17, 6, 13] | The Mean is 24.133333333333333 , Standard Deviation is 152.91555555555553, Variance is 12.365902941376968 | data_summary |
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| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surface_area_sphere |
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| 61 | Volume of Sphere | Volume of sphere with radius 54 m = | 659583.6608064842 m^3 | volume_sphere |
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| 62 | nth Fibonacci number | What is the 21th Fibonacci number? | 10946 | nth_fibonacci_number |
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| 63 | Profit or Loss Percent | Loss percent when CP = 294 and SP = 163 is: | 44.5578231292517 | profit_loss_percent |
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| 64 | Binary to Hexidecimal | 010111 | 0x17 | binary_to_hex |
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| 65 | Multiplication of 2 complex numbers | (-15+4j) * (3-8j) = | (-13+132j) | multiply_complex_numbers |
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| 66 | Geometric Progression | For the given GP [8, 80, 800, 8000, 80000, 800000] ,Find the value of a,common ratio,11th term value, sum upto 8th term | The value of a is 8, common ratio is 10 , 11th term is 80000000000 , sum upto 8th term is 88888888.0 | geometric_progression |
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| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 89 , 18 and 50 = | (89*18*50)^(1/3) = 43.10663994756918 | geometric_mean |
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| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 13 , 30 and 40 = | 3/((1/13) + (1/30) + (1/40)) = 22.18009478672986 | harmonic_mean |
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| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[190.83139432733142, 156.23278912186944] is: | 246.62786837199073 | euclidian_norm |
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| 70 | Angle between 2 vectors | angle between the vectors [424.56, 424.72, 189.19, 78.27, 930.38, 707.61, 196.98, 629.23, 637.74, 251.83, 563.31, 309.15, 811.91, 214.04, 20.86, 802.15, 948.67] and [645.19, 932.88, 213.39, 818.73, 24.01, 671.44, 845.54, 599.61, 791.14, 497.84, 67.99, 29.82, 499.55, 391.4, 546.58, 881.0, 953.93] is: | 0.7 radians | angle_btw_vectors |
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| 71 | Absolute difference between two numbers | Absolute difference between numbers -93 and 0 = | 93 | absolute_difference |
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| 72 | Dot Product of 2 Vectors | [12, -15, -11] . [11, -18, -17] = | 589 | vector_dot |
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| 73 | Binary 2's Complement | 2's complement of 1111 = | 1 | binary_2s_complement |
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| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[2, 17, 3], [31, 0, 5], [37, 67, 73]]) is: | Matrix([[67/5953, 208/5953, -17/5953], [2078/29765, -7/5953, -83/29765], [-2077/29765, -99/5953, 527/29765]]) | invert_matrix |
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| 75 | Area of a Sector | Given radius, 42 and angle, 224. Find the area of the sector. | Area of sector = 3448.21210 | sector_area |
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| 76 | Mean and Median | Given the series of numbers [1, 14, 41, 75, 22, 95, 21, 80, 24, 19]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 39.2 and Arithmetic median of this series is 23.0 | mean_median |
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| 77 | Determinant to 2x2 Matrix | Det([[53, 75], [30, 7]]) = | -1879 | int_matrix_22_determinant |
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| 78 | Compound Interest | Compound interest for a principle amount of 8512 dollars, 10% rate of interest and for a time period of 8 year is = | 18246.23 | compound_interest |
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| 79 | Decimal to Hexadecimal | Binary of 172= | 0xac | decimal_to_hexadeci |
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| 80 | Percentage of a number | What is 73% of 19? | Required percentage = 13.87% | percentage |
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| 81 | Celsius To Fahrenheit | Convert 81 degrees Celsius to degrees Fahrenheit = | 177.8 | celsius_to_fahrenheit |
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| 82 | AP Term Calculation | Find the term number 53 of the AP series: 75, -14, -103 ... | -4553 | arithmetic_progression_term |
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| 83 | AP Sum Calculation | Find the sum of first 5 terms of the AP series: -77, -14, 49 ... | 245.0 | arithmetic_progression_sum |
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| 84 | Converts decimal to octal | The decimal number 1 in Octal is: | 0o1 | decimal_to_octal |
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| 85 | Converts decimal to Roman Numerals | The number 2667 in Roman Numerals is: | MMDCLXVII | decimal_to_roman_numerals |
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| 86 | Degrees to Radians | Angle 217 in radians is = | 3.79 | degree_to_rad |
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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(exp(x)+7*x^3)/dx | 21*x^2 + exp(x) | differentiation |
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| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 61x^2 + 82x + 10 is = | 71.3333 | definite_integral |
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| 90 | isprime | 86 | False | is_prime |
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| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18310 | bcd_to_decimal |
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| 92 | Complex To Polar Form | rexp(itheta) = | 24.04exp(i-0.79) | complex_to_polar |
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| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={9, 10, 3, 4} ,b={1, 3, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 9, 10},Intersection is {9, 3}, a-b is {10, 4},b-a is {1}, Symmetric difference is {1, 4, 10} | set_operation |
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| 94 | Base Conversion | Convert 30246 from base 9 to base 10. | 19887 | base_conversion |
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| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 5 and height, 87? | CSA of cylinder = 2733.19 | curved_surface_area_cylinder |
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| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [28, 13, 90, 99, 27, 61, 7, 7, 68, 80, 28]cm is: | 508 | perimeter_of_polygons |
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| 97 | Power of Powers | The 17^4^2 = 17^(4*2) = 17^8 | 6975757441 | power_of_powers |
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| 98 | Quotient of Powers with Same Base | The Quotient of 50^10 and 50^7 = 50^(10-7) = 50^3 | 125000 | quotient_of_power_same_base |
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| 99 | Quotient of Powers with Same Power | The Quotient of 7^1 and 40^1 = (7/40)^1 = 0.175^1 | 0.175 | quotient_of_power_same_power |
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| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 3x^2 + 9x + 1 = 0 | simplified solution : ((-0.116, -2.884)), generalized solution : ((-9 + sqrt(69))/2*3, (-9 - sqrt(69))/2*3) | complex_quadratic |
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| 101 | Leap Year or Not | Year 2078 | is not a leap year | is_leap_year |
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| 102 | Minute to Hour conversion | Convert 562 minutes to Hours & Minutes | 9 hours and 22 minutes | minutes_to_hours |
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| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 5293 is = | 141013 | decimal_to_bcd |
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| 104 | Circumference | Circumference of circle with radius 60 | 376.99111843077515 | circumference |
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| 105 | Combine Like terms | 4x^4 + 6x^4 + 9x^1 + 3x^1 + 5x^4 + 10x^3 | 12x^1 + 10x^3 + 15x^4 | combine_like_terms |
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| 105 | Conditional Probability | Someone tested positive for a nasty disease which only 1.34% of population have. Test sensitivity (true positive) is equal to SN= 98.05% whereas test specificity (true negative) SP= 92.32%. What is the probability that this guy really has that disease? | 14.78% | conditional_probability |
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| 106 | Stationary Points | f(x)=x^3-3x | (-1,2),(1,-2) | stationary_points |
|
||||
| 61 | Volume of Sphere | Volume of sphere with radius 66 m = | 1204260.4287152681 m^3 | volume_sphere |
|
||||
| 62 | nth Fibonacci number | What is the 69th Fibonacci number? | 117669030460994 | nth_fibonacci_number |
|
||||
| 63 | Profit or Loss Percent | Profit percent when CP = 652 and SP = 967 is: | 48.31288343558282 | profit_loss_percent |
|
||||
| 64 | Binary to Hexidecimal | 011011000 | 0xd8 | binary_to_hex |
|
||||
| 65 | Multiplication of 2 complex numbers | (17+16j) * (-3-3j) = | (-3-99j) | multiply_complex_numbers |
|
||||
| 66 | Geometric Progression | For the given GP [10, 70, 490, 3430, 24010, 168070] ,Find the value of a,common ratio,9th term value, sum upto 9th term | The value of a is 10, common ratio is 7 , 9th term is 57648010 , sum upto 9th term is 67256010.0 | geometric_progression |
|
||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 58 , 73 and 52 = | (58*73*52)^(1/3) = 60.383469885511204 | geometric_mean |
|
||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 91 and 18 = | 2/((1/91) + (1/18)) = 30.055045871559635 | harmonic_mean |
|
||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[974.3536143874146, 686.168356481633, 586.22520680975] is: | 1328.1008893926917 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [700.08, 521.5, 513.19, 926.02, 781.96, 37.1, 485.31, 966.82, 811.5, 183.45, 703.93, 628.34, 756.44, 387.15, 771.41, 169.39, 48.66, 615.09] and [768.58, 809.43, 824.23, 109.11, 557.91, 3.33, 483.09, 188.14, 557.91, 655.56, 760.95, 864.19, 470.75, 149.17, 541.68, 615.69, 53.59, 859.28] is: | 0.6 radians | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers 15 and -2 = | 17 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [17, -6, 10] . [-15, 17, -2] = | -377 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of 1001 = | 111 | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[70, 89, 73], [36, 43, 66], [96, 99, 13]]) is: | Matrix([[-1195/12566, 607/6283, 547/12566], [2934/31415, -3049/31415, -996/31415], [-282/31415, 807/31415, -97/31415]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 32 and angle, 157. Find the area of the sector. | Area of sector = 1402.96547 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [81, 67, 6, 16, 98, 69, 28, 60, 56, 20]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.1 and Arithmetic median of this series is 58.0 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[88, 11], [75, 32]]) = | 1991 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound interest for a principle amount of 7240 dollars, 10% rate of interest and for a time period of 7 year is = | 14108.71 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 181= | 0xb5 | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 93% of 67? | Required percentage = 62.31% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert -9 degrees Celsius to degrees Fahrenheit = | 15.8 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 93 of the AP series: 16, -72, -160 ... | -8080 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 40 terms of the AP series: 79, 111, 143 ... | 28120.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 453 in Octal is: | 0o705 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 492 in Roman Numerals is: | CDXCII | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 146 in radians is = | 2.55 | degree_to_rad |
|
||||
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+6*x^(-2))/dx | 1/x - 12/x^3 | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 97x^2 + 21x + 68 is = | 110.8333 | definite_integral |
|
||||
| 90 | isprime | 100 | False | is_prime |
|
||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18071 | bcd_to_decimal |
|
||||
| 92 | Complex To Polar Form | rexp(itheta) = | 20.25exp(i-1.22) | complex_to_polar |
|
||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 3, 4, 6, 7, 8} ,b={8, 1, 3, 5}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 6, 7, 8},Intersection is {8, 1, 3}, a-b is {4, 6, 7},b-a is {5}, Symmetric difference is {4, 5, 6, 7} | set_operation |
|
||||
| 94 | Base Conversion | Convert 33792 from base 10 to base 8. | 102000 | base_conversion |
|
||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 12 and height, 87? | CSA of cylinder = 6559.65 | curved_surface_area_cylinder |
|
||||
| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [82, 107, 53, 3, 14, 47, 106, 22, 90, 87, 22]cm is: | 633 | perimeter_of_polygons |
|
||||
| 97 | Power of Powers | The 37^1^5 = 37^(1*5) = 37^5 | 69343957 | power_of_powers |
|
||||
| 98 | Quotient of Powers with Same Base | The Quotient of 46^3 and 46^7 = 46^(3-7) = 46^-4 | 2.2334111155977858e-07 | quotient_of_power_same_base |
|
||||
| 99 | Quotient of Powers with Same Power | The Quotient of 40^3 and 20^3 = (40/20)^3 = 2.0^3 | 8.0 | quotient_of_power_same_power |
|
||||
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 2x^2 + 6x + 1 = 0 | simplified solution : ((-0.177, -2.823)), generalized solution : ((-6 + sqrt(28))/2*2, (-6 - sqrt(28))/2*2) | complex_quadratic |
|
||||
| 101 | Leap Year or Not | Year 1929 | is not a leap year | is_leap_year |
|
||||
| 102 | Minute to Hour conversion | Convert 793 minutes to Hours & Minutes | 13 hours and 13 minutes | minutes_to_hours |
|
||||
| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 9170 is = | 23132 | decimal_to_bcd |
|
||||
| 104 | Circumference | Circumference of circle with radius 10 | 62.83185307179586 | circumference |
|
||||
| 105 | Combine Like terms | 6x^1 + 3x^2 + 6x^2 | 6x^1 + 9x^2 | combine_like_terms |
|
||||
| 106 | signum function | signum of 281 is = | 1 | signum_function |
|
||||
| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.44% of population have. Test sensitivity (true positive) is equal to SN= 93.49% whereas test specificity (true negative) SP= 94.85%. What is the probability that this guy really has that disease? | 20.96% | conditional_probability |
|
||||
| 108 | Arc length of Angle | Given radius, 42 and angle, 114. Find the arc length of the angle. | Arc length of the angle = 83.56636 | arc_length |
|
||||
| 109 | Binomial distribution | A manufacturer of metal pistons finds that, on average, 40.72% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 13 pistons will contain no more than 7 rejected pistons? | 89.26 | binomial_distribution |
|
||||
|
||||
@@ -110,5 +110,8 @@ from .minutes_to_hours import *
|
||||
from .decimal_to_bcd import *
|
||||
from .circumference import *
|
||||
from .combine_like_terms import *
|
||||
from .signum_function import *
|
||||
from .conditional_probability import *
|
||||
from .arc_length import *
|
||||
from .binomial_distribution import *
|
||||
from .stationary_points import *
|
||||
|
||||
15
mathgenerator/funcs/arc_length.py
Normal file
15
mathgenerator/funcs/arc_length.py
Normal file
@@ -0,0 +1,15 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def arclengthFunc(maxRadius=49, maxAngle=359):
|
||||
Radius = random.randint(1, maxRadius)
|
||||
Angle = random.randint(1, maxAngle)
|
||||
problem = f"Given radius, {Radius} and angle, {Angle}. Find the arc length of the angle."
|
||||
angle_arc_length = float((Angle / 360) * 2 * math.pi * Radius)
|
||||
formatted_float = "{:.5f}".format(angle_arc_length)
|
||||
solution = f"Arc length of the angle = {formatted_float}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
arc_length = Generator("Arc length of Angle", 108,
|
||||
" Given the radius, r and angle, ang. Calculate the arc length of the given angle", "(ang/360) * 2 * pi * r", arclengthFunc)
|
||||
42
mathgenerator/funcs/binomial_distribution.py
Normal file
42
mathgenerator/funcs/binomial_distribution.py
Normal file
@@ -0,0 +1,42 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def factorial(n):
|
||||
|
||||
if n == 1 or n == 0:
|
||||
return 1
|
||||
else:
|
||||
return n * factorial(n - 1)
|
||||
|
||||
|
||||
def newton_symbol(n, k):
|
||||
return factorial(n) / (factorial(k) * factorial(n - k))
|
||||
|
||||
|
||||
def binomialDistFunc():
|
||||
|
||||
rejected_fraction = float(random.randint(30, 40)) + random.random()
|
||||
batch = random.randint(10, 20)
|
||||
rejections = random.randint(1, 9)
|
||||
|
||||
answer = 0
|
||||
|
||||
rejected_fraction = round(rejected_fraction, 2)
|
||||
|
||||
problem = "A manufacturer of metal pistons finds that, on average, {0:}% "\
|
||||
"of the pistons they manufacture are rejected because " \
|
||||
"they are incorrectly sized. What is the probability that a "\
|
||||
"batch of {1:} pistons will contain no more than {2:} " \
|
||||
"rejected pistons?".format(rejected_fraction, batch, rejections)
|
||||
|
||||
for i in range(0, rejections + 1):
|
||||
answer += newton_symbol(float(batch), float(i)) * ((rejected_fraction / 100.) ** float(i)) * \
|
||||
((1 - (rejected_fraction / 100.)) ** (float(batch) - float(i)))
|
||||
|
||||
answer = round(100 * answer, 2)
|
||||
|
||||
return problem, answer
|
||||
|
||||
|
||||
binomial_distribution = Generator("Binomial distribution", 109,
|
||||
"P(X<x)=", "c", binomialDistFunc)
|
||||
@@ -24,4 +24,4 @@ def conditionalProbFunc():
|
||||
|
||||
|
||||
conditional_probability = Generator("Conditional Probability",
|
||||
105, "P(A|+)=", "c", conditionalProbFunc)
|
||||
107, "P(A|+)=", "c", conditionalProbFunc)
|
||||
|
||||
19
mathgenerator/funcs/signum_function.py
Normal file
19
mathgenerator/funcs/signum_function.py
Normal file
@@ -0,0 +1,19 @@
|
||||
from .__init__ import *
|
||||
import random
|
||||
|
||||
|
||||
def signumFunc(min=-999, max=999):
|
||||
a = random.randint(min, max)
|
||||
b = 0
|
||||
if (a > 0):
|
||||
b = 1
|
||||
if (a < 0):
|
||||
b = -1
|
||||
problem = "signum of " + str(a) + " is " + "="
|
||||
solution = str(b)
|
||||
return problem, solution
|
||||
|
||||
|
||||
signum_function = Generator("signum function", 106,
|
||||
"signum function of a is", "b",
|
||||
signumFunc)
|
||||
8
test.py
8
test.py
@@ -5,9 +5,9 @@ from mathgenerator import mathgen
|
||||
# print(mathgen.addition())
|
||||
|
||||
# prints each generator in genList
|
||||
# list = mathgen.getGenList()
|
||||
# for item in list:
|
||||
# print(item[2])
|
||||
list = mathgen.getGenList()
|
||||
for item in list:
|
||||
print(item[2])
|
||||
|
||||
# print(mathgen.getGenList())
|
||||
print(mathgen.circumference())
|
||||
print(mathgen.genById(109))
|
||||
|
||||
Reference in New Issue
Block a user