diff --git a/README.md b/README.md index f2d81dc..dbf463c 100644 --- a/README.md +++ b/README.md @@ -31,76 +31,88 @@ problem, solution = mathgen.genById(0) | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| [//]: # list start -| 0 | Addition | 33+23= | 56 | addition | -| 1 | Subtraction | 14-1= | 13 | subtraction | -| 2 | Multiplication | 52*1= | 52 | multiplication | -| 3 | Division | 14/26= | 0.5384615384615384 | division | -| 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s | -| 5 | Modulo Division | 23%70= | 23 | moduloDivision | -| 6 | Square Root | sqrt(121)= | 11 | squareRoot | -| 7 | Power Rule Differentiation | 3x^2 + 3x^5 + 1x^2 + 6x^4 + 6x^3 | 6x^1 + 15x^4 + 2x^1 + 24x^3 + 18x^2 | powerRuleDifferentiation | -| 8 | Square | 18^2= | 324 | square | -| 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm | -| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd | -| 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra | -| 12 | Logarithm | log2(32) | 5 | log | -| 13 | Easy Division | 196/14 = | 14 | intDivision | -| 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary | -| 15 | Binary to Decimal | 1 | 1 | binaryToDecimal | -| 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision | -| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication | -| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle | -| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist | -| 20 | Midpoint of the two point | (15,5),(9,10)= | (12.0,7.5) | midPointOfTwoPoint | -| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring | -| 22 | Third Angle of Triangle | Third angle of triangle with angles 37 and 54 = | 89 | thirdAngleOfTriangle | -| 23 | Solve a System of Equations in R^2 | -4x - 8y = 60, -9x + 10y = 51 | x = -9, y = -3 | systemOfEquations | -| 24 | Distance between 2 points | Find the distance between (16, 7) and (19, 14) | sqrt(58) | distance2Point | -| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem | -| 26 | Linear Equations | -8x + 15y = -109 -6x + -14y = 90 | x = 8, y = -3 | linearEquations | -| 27 | Prime Factorisation | Find prime factors of 130 | [2, 5, 13] | primeFactors | -| 28 | Fraction Multiplication | (8/9)*(3/2) | 4/3 | fractionMultiplication | -| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angleRegularPolygon | -| 30 | Combinations of Objects | Number of combinations from 11 objects picked 9 at a time | 55 | combinations | -| 31 | Factorial | 2! = | 2 | factorial | -| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen | -| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 8m, 4m, 17m is | 472 m^2 | surfaceAreaCuboidGen | -| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 18m is | 5654 m^2 | surfaceAreaCylinderGen | -| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen | -| 36 | Volume of Cuboid | Volume of cuboid with sides = 14m, 19m, 1m is | 266 m^3 | volumeCuboidGen | -| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 18m is | 16286 m^3 | volumeCylinderGen | -| 38 | Surface Area of cone | Surface area of cone with height = 48m and radius = 20m is | 4523 m^2 | surfaceAreaConeGen | -| 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen | -| 40 | Common Factors | Common Factors of 59 and 57 = | [1] | commonFactors | -| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -1/4x - 2 and y = 4/5x + 3 | (-100/21, -17/21) | intersectionOfTwoLines | -| 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations | -| 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross | -| 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions | -| 45 | Simple Interest | Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is = | 1079.1 | simpleInterest | -| 46 | Multiplication of two matrices | Multiply
-50367-26-263
88-3760-1961-56
48-569-87-64-92
-84-50-79-1986-13
02812-1473-49
94-90226-3819
2-1179-7798-77
-877072-3264-99
and
3432-6-3246-2378-81-18
-172449-62-507738-98-64
-23-7843 5-83-5 4-92-16
46-47-9252-25-374451-7
2026703796-73498442
-72-15-80-2458-47-4145-69
|
-8245-1057-423-3535-5692034-63291219-5765
6619 5671073723914001-629110147-73876383
1472-16113318-5565-1257410381 638-236992621
159355983465789913170-6487-48572464210618
359230271220614732120-4126082-6354561
3748-1803-1146020725462-8183242311 947
2400 960229502483 952-19744625-55129372
1132-2067223921884-1227681961949-71485677
| matrixMultiplication | - [ 10584, 13902, 11916, -7446, 4430, 554] - [ -1800, 6587, 14343, 6224, 4525, 4853] - [-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication | -| 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot | -| 48 | Power Rule Integration | 4x^5 + 2x^5 + 9x^8 + 9x^5 | (4/5)x^6 + (2/5)x^6 + (9/8)x^9 + (9/5)x^6 + c | powerRuleIntegration | -| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 27 , 155, 116 = | 62 | fourthAngleOfQuadrilateral | -| 50 | Quadratic Equation | Zeros of the Quadratic Equation 53x^2+200x+78=0 | [-0.44, -3.33] | quadraticEquationSolve | -| 51 | HCF (Highest Common Factor) | HCF of 7 and 4 = | 1 | hcf | -| 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 11 = | 2/36 | diceSumProbability | -| 53 | Exponentiation | 9^10 = | 3486784401 | exponentiation | -| 54 | Confidence interval For sample S | The confidence interval for sample [266, 201, 278, 209, 229, 275, 216, 234, 219, 276, 282, 281, 208, 247, 265, 273, 286, 202, 231, 207, 251, 203, 259, 288, 291, 260, 210, 263, 222] with 99% confidence is | (260.5668079141175, 231.29526105139982) | confidenceInterval | -| 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | surdsComparison | -| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeries | -| 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry | +| 0 | Addition | 23+50= | 73 | addition | +| 1 | Subtraction | 68-41= | 27 | subtraction | +| 2 | Multiplication | 51*1= | 51 | multiplication | +| 3 | Division | 37/44= | 0.8409090909090909 | division | +| 4 | Binary Complement 1s | 01= | 10 | binaryComplement1s | +| 5 | Modulo Division | 49%54= | 49 | moduloDivision | +| 6 | Square Root | sqrt(16)= | 4 | squareRoot | +| 7 | Power Rule Differentiation | 1x^6 + 8x^4 + 5x^5 | 6x^5 + 32x^3 + 25x^4 | powerRuleDifferentiation | +| 8 | Square | 2^2= | 4 | square | +| 9 | LCM (Least Common Multiple) | LCM of 13 and 1 = | 13 | lcm | +| 10 | GCD (Greatest Common Denominator) | GCD of 14 and 8 = | 2 | gcd | +| 11 | Basic Algebra | 1x + 6 = 8 | 2 | basicAlgebra | +| 12 | Logarithm | log2(256) | 8 | log | +| 13 | Easy Division | 96/4 = | 24 | intDivision | +| 14 | Decimal to Binary | Binary of 12= | 1100 | decimalToBinary | +| 15 | Binary to Decimal | 010010100 | 148 | binaryToDecimal | +| 16 | Fraction Division | (5/10)/(5/2) | 1/5 | fractionDivision | +| 17 | Integer Multiplication with 2x2 Matrix | 1 * [[2, 6], [6, 6]] = | [[2,6],[6,6]] | intMatrix22Multiplication | +| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 20 = | 97.48846085563153 | areaOfTriangle | +| 19 | Triangle exists check | Does triangle with sides 30, 30 and 47 exist? | Yes | doesTriangleExist | +| 20 | Midpoint of the two point | (-8,11),(2,3)= | (-3.0,7.0) | midPointOfTwoPoint | +| 21 | Factoring Quadratic | x^2-3x-28 | (x+4)(x-7) | factoring | +| 22 | Third Angle of Triangle | Third angle of triangle with angles 59 and 50 = | 71 | thirdAngleOfTriangle | +| 23 | Solve a System of Equations in R^2 | 3x + 7y = -61, 6x + 7y = -52 | x = 3, y = -10 | systemOfEquations | +| 24 | Distance between 2 points | Find the distance between (-10, -6) and (-2, 14) | sqrt(464) | distance2Point | +| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 17 and 13 = | 21.40 | pythagoreanTheorem | +| 26 | Linear Equations | -2x + 9y = 16 +-15x + 3y = -267 | x = 19, y = 6 | linearEquations | +| 27 | Prime Factorisation | Find prime factors of 94 | [2, 47] | primeFactors | +| 28 | Fraction Multiplication | (8/10)*(10/7) | 8/7 | fractionMultiplication | +| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon | +| 30 | Combinations of Objects | Number of combinations from 14 objects picked 8 at a time | 3003 | combinations | +| 31 | Factorial | 5! = | 120 | factorial | +| 32 | Surface Area of Cube | Surface area of cube with side = 16m is | 1536 m^2 | surfaceAreaCubeGen | +| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 9m, 16m, 12m is | 888 m^2 | surfaceAreaCuboidGen | +| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 41m and radius = 11m is | 3593 m^2 | surfaceAreaCylinderGen | +| 35 | Volum of Cube | Volume of cube with side = 3m is | 27 m^3 | volumeCubeGen | +| 36 | Volume of Cuboid | Volume of cuboid with sides = 2m, 8m, 14m is | 224 m^3 | volumeCuboidGen | +| 37 | Volume of cylinder | Volume of cylinder with height = 43m and radius = 15m is | 30394 m^3 | volumeCylinderGen | +| 38 | Surface Area of cone | Surface area of cone with height = 49m and radius = 2m is | 320 m^2 | surfaceAreaConeGen | +| 39 | Volume of cone | Volume of cone with height = 31m and radius = 17m is | 9381 m^3 | volumeConeGen | +| 40 | Common Factors | Common Factors of 55 and 82 = | [1] | commonFactors | +| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 0/4x + 1 and y = 3/5x - 9 | (50/3, 1) | intersectionOfTwoLines | +| 42 | Permutations | Number of Permutations from 11 objects picked 0 at a time = | 1 | permutations | +| 43 | Cross Product of 2 Vectors | [16, -20, -19] X [-16, -13, -11] = | [-27, 480, -528] | vectorCross | +| 44 | Compare Fractions | Which symbol represents the comparison between 6/7 and 8/5? | < | compareFractions | +| 45 | Simple Interest | Simple interest for a principle amount of 7762 dollars, 2% rate of interest and for a time period of 2 years is = | 310.48 | simpleInterest | +| 46 | Multiplication of two matrices | Multiply
18-5697-66-2555-9986
2-4527-87-30-1593-62
83-2555-875-34-71-22
-7594-684-88-386098
20-4874-73-81-2560-93
-23-89-639036301819
-21158935-60-53-8522
-70-76-37-98-73778172
and
-1413
-7896
-1795
7269
6741
8549
-6438
36-44]] | [[ 10147, -6357] + [-14710, -3435] + [ 5164, 3031] + [ -9570, 5773] + [-17790, -529] + [ 19309, -5824] + [ -2162, 2782] + [ -457, -17793]] | matrixMultiplication | +| 47 | Cube Root | cuberoot of 402 upto 2 decimal places is: | 7.38 | CubeRoot | +| 48 | Power Rule Integration | 9x^1 | (9/1)x^2 + c | powerRuleIntegration | +| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 171 , 62, 4 = | 123 | fourthAngleOfQuadrilateral | +| 50 | Quadratic Equation | Zeros of the Quadratic Equation 79x^2+159x+79=0 | [-0.89, -1.12] | quadraticEquationSolve | +| 51 | HCF (Highest Common Factor) | HCF of 18 and 16 = | 2 | hcf | +| 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 10 = | 27/216 | diceSumProbability | +| 53 | Exponentiation | 5^9 = | 1953125 | exponentiation | +| 54 | Confidence interval For sample S | The confidence interval for sample [259, 228, 251, 245, 222, 216, 209, 288, 229, 249, 278, 226, 256, 263, 248, 211, 210, 270, 260, 269] with 99% confidence is | (257.86513442744837, 230.83486557255162) | confidenceInterval | +| 55 | Comparing surds | Fill in the blanks 70^(1/7) _ 61^(1/6) | < | surdsComparison | +| 56 | Fibonacci Series | The Fibonacci Series of the first 16 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610] | fibonacciSeries | +| 57 | Trigonometric Values | What is sin(45)? | 1/√2 | basicTrigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sumOfAnglesOfPolygon | -| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[36, 13, 31, 23, 38, 34, 24, 20, 41, 14, 19, 31, 11, 49, 49] | The Mean is 28.866666666666667 , Standard Deviation is 143.5822222222222, Variance is 11.982579948501167 | dataSummary | -| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surfaceAreaSphereGen | -| 60 | Volume of Sphere | Volume of sphere with radius 73 m = | 1629510.5990953872 m^3 | volumeSphere | -| 61 | nth Fibonacci number | What is the 68th Fibonacci number? | 72723460248141 | nthFibonacciNumberGen | -| 62 | Profit or Loss Percent | Profit percent when CP = 825 and SP = 972 is: | 17.81818181818182 | profitLossPercent | -| 63 | Binary to Hexidecimal | 100000 | 0x20 | binaryToHex | -| 64 | Multiplication of 2 complex numbers | (3+14j) * (-3+16j) = | (-233+6j) | complexNumMultiply | -| 65 | Geometric Progression | For the given GP [4, 16, 64, 256, 1024, 4096] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 4, common ratio is 4 , 8th term is 65536 , sum upto 7th term is 21844.0 | geometricprogression | -| 66 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 81 , 35 and 99 = | (81*35*99)^(1/3) = 65.47307713912309 | geometricMean | -| 67 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 99 and 25 = | 2/((1/99) + (1/25)) = 39.91935483870967 | harmonicMean | +| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[48, 46, 29, 28, 17, 48, 24, 23, 5, 9, 27, 33, 46, 7, 36] | The Mean is 28.4 , Standard Deviation is 201.97333333333336, Variance is 14.211732242528823 | dataSummary | +| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 19m is | 4536.459791783661 m^2 | surfaceAreaSphereGen | +| 61 | Volume of Sphere | Volume of sphere with radius 63 m = | 1047394.4243362226 m^3 | volumeSphere | +| 62 | nth Fibonacci number | What is the 85th Fibonacci number? | 259695496911123328 | nthFibonacciNumberGen | +| 63 | Profit or Loss Percent | Loss percent when CP = 937 and SP = 72 is: | 92.31590181430096 | profitLossPercent | +| 64 | Binary to Hexidecimal | 1001111 | 0x4f | binaryToHex | +| 65 | Multiplication of 2 complex numbers | (-3+2j) * (-6+7j) = | (4-33j) | complexNumMultiply | +| 66 | Geometric Progression | For the given GP [6, 24, 96, 384, 1536, 6144] ,Find the value of a,common ratio,9th term value, sum upto 9th term | The value of a is 6, common ratio is 4 , 9th term is 393216 , sum upto 9th term is 524286.0 | geometricprogression | +| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 54 , 80 , 35 , 39 = | (54*80*35*39)^(1/4) = 49.27811645529654 | geometricMean | +| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 2 , 84 , 93 , 16 = | 4/((1/2) + (1/84) + (1/93) + (1/16)) = 6.835767022149303 | harmonicMean | +| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[784.3594765936149, 831.2509235672187, 16.078601582030892, 985.0579481288806, 734.7344412338676, 998.0941258783216, 354.94078353536895, 413.5643355103187, 581.4239813447576, 903.949312712381, 806.494025130463] is: | 2432.1700989717465 | eucldianNorm | +| 70 | Angle between 2 vectors | angle between the vectors [689.0197023764115, 694.8793500248185] and [927.4787145023294, 343.6872076155678] is: | NaN | angleBtwVectors | +| 71 | Absolute difference between two numbers | Absolute difference between numbers -23 and 44 = | 67 | absoluteDifference | +| 72 | Dot Product of 2 Vectors | [17, 9, 8] . [18, 9, 4] = | 419 | vectorDot | +| 73 | Binary 2's Complement | 2's complement of 101 = | 11 | binary2sComplement | +| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[13, 88, 85], [65, 37, 52], [89, 45, 2]]) is: | Matrix([[-1133/167543, 3649/335086, 1431/335086], [2249/167543, -7539/335086, 4849/335086], [-184/167543, 7247/335086, -5239/335086]]) | invertmatrix | +| 75 | Area of a Sector | Given radius, 6 and angle, 328. Find the area of the sector. | Area of sector = 103.04424 | sectorArea | +| 76 | Mean and Median | Given the series of numbers [55, 61, 83, 85, 52, 78, 30, 58, 76, 37]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 61.5 and Arithmetic median of this series is 59.5 | meanMedian | diff --git a/makeReadme.py b/makeReadme.py index d5dadc7..7692e35 100644 --- a/makeReadme.py +++ b/makeReadme.py @@ -22,6 +22,8 @@ for item in wList: prob = prob.replace(", ", "") prob = prob.replace("]]\n", "
") prob = prob.replace("]\n", "") + prob = prob.replace(" ", "") + prob = prob.replace("\n", "") instName = lines[line] func_name = instName[:instName.find('=')].strip() # NOTE: renamed 'def_name' to 'func_name' because it suits it more diff --git a/mathgenerator/funcs/meanMedianFunc.py b/mathgenerator/funcs/meanMedianFunc.py index 5f06a1c..f1d2596 100644 --- a/mathgenerator/funcs/meanMedianFunc.py +++ b/mathgenerator/funcs/meanMedianFunc.py @@ -1,4 +1,4 @@ -.__init__ import * +from .__init__ import * def meanMedianFunc(maxlen = 10): randomlist = random.sample(range(1, 99), maxlen) diff --git a/mathgenerator/funcs/sectorAreaFunc.py b/mathgenerator/funcs/sectorAreaFunc.py index aaf4573..6130ad0 100644 --- a/mathgenerator/funcs/sectorAreaFunc.py +++ b/mathgenerator/funcs/sectorAreaFunc.py @@ -1,4 +1,4 @@ -.__init__ import * +from .__init__ import * def sectorAreaFunc(maxRadius = 49,maxAngle = 359): Radius = random.randint(1, maxRadius)