diff --git a/README.md b/README.md index 4ed2096..5d7b0e2 100644 --- a/README.md +++ b/README.md @@ -31,110 +31,111 @@ problem, solution = mathgen.genById(0) | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| [//]: # list start -| 0 | Addition | 32+29= | 61 | addition | -| 1 | Subtraction | 45-12= | 33 | subtraction | -| 2 | Multiplication | 25*3= | 75 | multiplication | -| 3 | Division | 32/95= | 0.3368421052631579 | division | -| 4 | Binary Complement 1s | 11= | 00 | binary_complement_1s | -| 5 | Modulo Division | 22%45= | 22 | modulo_division | -| 6 | Square Root | sqrt(144)= | 12 | square_root | -| 7 | Power Rule Differentiation | 3x^1 | 3x^0 | power_rule_differentiation | -| 8 | Square | 2^2= | 4 | square | -| 9 | LCM (Least Common Multiple) | LCM of 5 and 18 = | 90 | lcm | -| 10 | GCD (Greatest Common Denominator) | GCD of 16 and 16 = | 16 | gcd | -| 11 | Basic Algebra | 8x + 2 = 5 | 3/8 | basic_algebra | -| 12 | Logarithm | log2(128) | 7 | log | -| 13 | Easy Division | 525/25 = | 21 | int_division | -| 14 | Decimal to Binary | Binary of 39= | 100111 | decimal_to_binary | -| 15 | Binary to Decimal | 01110 | 14 | binary_to_decimal | -| 16 | Fraction Division | (9/4)/(8/4) | 9/8 | divide_fractions | -| 17 | Integer Multiplication with 2x2 Matrix | 7 * [[3, 3], [9, 2]] = | [[21,21],[63,14]] | multiply_int_to_22_matrix | -| 18 | Area of Triangle | Area of triangle with side lengths: 18 7 5 = | (3.67394039744206e-15+60j) | area_of_triangle | -| 19 | Triangle exists check | Does triangle with sides 31, 49 and 15 exist? | No | valid_triangle | -| 20 | Midpoint of the two point | (7,-13),(-11,-20)= | (-2.0,-16.5) | midpoint_of_two_points | -| 21 | Factoring Quadratic | x^2+15x+56 | (x+7)(x+8) | factoring | -| 22 | Third Angle of Triangle | Third angle of triangle with angles 68 and 72 = | 40 | third_angle_of_triangle | -| 23 | Solve a System of Equations in R^2 | -x - 8y = 57, -7x - 7y = 56 | x = -1, y = -7 | system_of_equations | -| 24 | Distance between 2 points | Find the distance between (-18, -4) and (20, -1) | sqrt(1453) | distance_two_points | -| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 14 and 16 = | 21.26 | pythagorean_theorem | -| 26 | Linear Equations | -8x + 9y = -159, 4x + -7y = 97 | x = 12, y = -7 | linear_equations | -| 27 | Prime Factorisation | Find prime factors of 22 | [2, 11] | prime_factors | -| 28 | Fraction Multiplication | (5/9)*(3/8) | 5/24 | fraction_multiplication | -| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angle_regular_polygon | -| 30 | Combinations of Objects | Number of combinations from 20 objects picked 0 at a time | 1 | combinations | -| 31 | Factorial | 4! = | 24 | factorial | -| 32 | Surface Area of Cube | Surface area of cube with side = 13m is | 1014 m^2 | surface_area_cube | -| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 4m, 3m, 10m is | 164 m^2 | surface_area_cuboid | -| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 30m and radius = 3m is | 622 m^2 | surface_area_cylinder | -| 35 | Volum of Cube | Volume of cube with side = 3m is | 27 m^3 | volume_cube | -| 36 | Volume of Cuboid | Volume of cuboid with sides = 18m, 4m, 20m is | 1440 m^3 | volume_cuboid | -| 37 | Volume of cylinder | Volume of cylinder with height = 8m and radius = 2m is | 100 m^3 | volume_cylinder | -| 38 | Surface Area of cone | Surface area of cone with height = 9m and radius = 18m is | 2155 m^2 | surface_area_cone | -| 39 | Volume of cone | Volume of cone with height = 8m and radius = 12m is | 1206 m^3 | volume_cone | -| 40 | Common Factors | Common Factors of 94 and 86 = | [1, 2] | common_factors | -| 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 | -| 42 | Permutations | Number of Permutations from 11 objects picked 4 at a time = | 7920 | permutation | -| 43 | Cross Product of 2 Vectors | [-19, -10, -19] X [-8, -15, 19] = | [-475, 513, 205] | vector_cross | -| 44 | Compare Fractions | Which symbol represents the comparison between 8/5 and 4/5? | > | compare_fractions | -| 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 | -| 46 | Multiplication of two matrices | Multiply
7-8
-2-2
5-9
7-8
and
-10-22
3-48
|
-9418-50
1412-20
-7726-62
-9418-50
| matrix_multiplication | -| 47 | Cube Root | cuberoot of 273 upto 2 decimal places is: | 6.49 | cube_root | -| 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 | -| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 29 , 193, 28 = | 110 | fourth_angle_of_quadrilateral | -| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+196x+10=0 | [-0.05, -3.79] | quadratic_equation | -| 51 | HCF (Highest Common Factor) | HCF of 1 and 13 = | 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 7 = | 6/36 | dice_sum_probability | -| 53 | Exponentiation | 14^5 = | 537824 | exponentiation | -| 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 | -| 55 | Comparing surds | Fill in the blanks 59^(1/5) _ 34^(1/7) | > | surds_comparison | -| 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 | -| 57 | Trigonometric Values | What is sin(60)? | √3/2 | basic_trigonometry | -| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 6 sides = | 720 | sum_of_polygon_angles | -| 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 | -| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surface_area_sphere | -| 61 | Volume of Sphere | Volume of sphere with radius 54 m = | 659583.6608064842 m^3 | volume_sphere | -| 62 | nth Fibonacci number | What is the 21th Fibonacci number? | 10946 | nth_fibonacci_number | -| 63 | Profit or Loss Percent | Loss percent when CP = 294 and SP = 163 is: | 44.5578231292517 | profit_loss_percent | -| 64 | Binary to Hexidecimal | 010111 | 0x17 | binary_to_hex | -| 65 | Multiplication of 2 complex numbers | (-15+4j) * (3-8j) = | (-13+132j) | multiply_complex_numbers | -| 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 | -| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 89 , 18 and 50 = | (89*18*50)^(1/3) = 43.10663994756918 | geometric_mean | -| 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 | -| 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 | -| 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 | -| 71 | Absolute difference between two numbers | Absolute difference between numbers -93 and 0 = | 93 | absolute_difference | -| 72 | Dot Product of 2 Vectors | [12, -15, -11] . [11, -18, -17] = | 589 | vector_dot | -| 73 | Binary 2's Complement | 2's complement of 1111 = | 1 | binary_2s_complement | -| 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 | -| 75 | Area of a Sector | Given radius, 42 and angle, 224. Find the area of the sector. | Area of sector = 3448.21210 | sector_area | -| 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 | -| 77 | Determinant to 2x2 Matrix | Det([[53, 75], [30, 7]]) = | -1879 | int_matrix_22_determinant | -| 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 | -| 79 | Decimal to Hexadecimal | Binary of 172= | 0xac | decimal_to_hexadeci | -| 80 | Percentage of a number | What is 73% of 19? | Required percentage = 13.87% | percentage | -| 81 | Celsius To Fahrenheit | Convert 81 degrees Celsius to degrees Fahrenheit = | 177.8 | celsius_to_fahrenheit | -| 82 | AP Term Calculation | Find the term number 53 of the AP series: 75, -14, -103 ... | -4553 | arithmetic_progression_term | -| 83 | AP Sum Calculation | Find the sum of first 5 terms of the AP series: -77, -14, 49 ... | 245.0 | arithmetic_progression_sum | -| 84 | Converts decimal to octal | The decimal number 1 in Octal is: | 0o1 | decimal_to_octal | -| 85 | Converts decimal to Roman Numerals | The number 2667 in Roman Numerals is: | MMDCLXVII | decimal_to_roman_numerals | -| 86 | Degrees to Radians | Angle 217 in radians is = | 3.79 | degree_to_rad | -| 87 | Radians to Degrees | Angle 1 in degrees is = | 57.3 | radian_to_deg | -| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+7*x^3)/dx | 21*x^2 + exp(x) | differentiation | -| 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 | -| 90 | isprime | 86 | False | is_prime | -| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18310 | bcd_to_decimal | -| 92 | Complex To Polar Form | rexp(itheta) = | 24.04exp(i-0.79) | complex_to_polar | -| 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 | -| 94 | Base Conversion | Convert 30246 from base 9 to base 10. | 19887 | base_conversion | -| 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 | -| 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 | -| 97 | Power of Powers | The 17^4^2 = 17^(4*2) = 17^8 | 6975757441 | power_of_powers | -| 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 | -| 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 | -| 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 | -| 101 | Leap Year or Not | Year 2078 | is not a leap year | is_leap_year | -| 102 | Minute to Hour conversion | Convert 562 minutes to Hours & Minutes | 9 hours and 22 minutes | minutes_to_hours | -| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 5293 is = | 141013 | decimal_to_bcd | -| 104 | Circumference | Circumference of circle with radius 60 | 376.99111843077515 | circumference | -| 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 | -| 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 | +| 0 | Addition | 46+4= | 50 | addition | +| 1 | Subtraction | 63-13= | 50 | subtraction | +| 2 | Multiplication | 25*0= | 0 | multiplication | +| 3 | Division | 66/99= | 0.6666666666666666 | division | +| 4 | Binary Complement 1s | 011101111= | 100010000 | binary_complement_1s | +| 5 | Modulo Division | 50%72= | 50 | modulo_division | +| 6 | Square Root | sqrt(9)= | 3 | square_root | +| 7 | Power Rule Differentiation | 5x^8 + 8x^1 + 5x^2 + 7x^9 + 9x^6 | 40x^7 + 8x^0 + 10x^1 + 63x^8 + 54x^5 | power_rule_differentiation | +| 8 | Square | 12^2= | 144 | square | +| 9 | LCM (Least Common Multiple) | LCM of 14 and 12 = | 84 | lcm | +| 10 | GCD (Greatest Common Denominator) | GCD of 9 and 20 = | 1 | gcd | +| 11 | Basic Algebra | 9x + 7 = 10 | 1/3 | basic_algebra | +| 12 | Logarithm | log2(16) | 4 | log | +| 13 | Easy Division | 120/24 = | 5 | int_division | +| 14 | Decimal to Binary | Binary of 27= | 11011 | decimal_to_binary | +| 15 | Binary to Decimal | 1101100000 | 864 | binary_to_decimal | +| 16 | Fraction Division | (2/10)/(10/8) | 4/25 | divide_fractions | +| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[1, 1], [5, 0]] = | [[16,16],[80,0]] | multiply_int_to_22_matrix | +| 18 | Area of Triangle | Area of triangle with side lengths: 18 11 18 = | 94.26525075551436 | area_of_triangle | +| 19 | Triangle exists check | Does triangle with sides 10, 26 and 25 exist? | Yes | valid_triangle | +| 20 | Midpoint of the two point | (9,-6),(-9,-18)= | (0.0,-12.0) | midpoint_of_two_points | +| 21 | Factoring Quadratic | x^2+3x+2 | (x+1)(x+2) | factoring | +| 22 | Third Angle of Triangle | Third angle of triangle with angles 18 and 24 = | 138 | third_angle_of_triangle | +| 23 | Solve a System of Equations in R^2 | -8x + 5y = 33, 7x - 3y = -33 | x = -6, y = -3 | system_of_equations | +| 24 | Distance between 2 points | Find the distance between (-3, -18) and (6, -17) | sqrt(82) | distance_two_points | +| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 19 and 3 = | 19.24 | pythagorean_theorem | +| 26 | Linear Equations | -6x + -19y = 42, -20x + -14y = 140 | x = -7, y = 0 | linear_equations | +| 27 | Prime Factorisation | Find prime factors of 193 | [193] | prime_factors | +| 28 | Fraction Multiplication | (5/4)*(7/10) | 7/8 | fraction_multiplication | +| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 11 sides | 147.27 | angle_regular_polygon | +| 30 | Combinations of Objects | Number of combinations from 17 objects picked 3 at a time | 680 | combinations | +| 31 | Factorial | 2! = | 2 | factorial | +| 32 | Surface Area of Cube | Surface area of cube with side = 16m is | 1536 m^2 | surface_area_cube | +| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 1m, 2m, 7m is | 46 m^2 | surface_area_cuboid | +| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 37m and radius = 11m is | 3317 m^2 | surface_area_cylinder | +| 35 | Volum of Cube | Volume of cube with side = 5m is | 125 m^3 | volume_cube | +| 36 | Volume of Cuboid | Volume of cuboid with sides = 2m, 20m, 8m is | 320 m^3 | volume_cuboid | +| 37 | Volume of cylinder | Volume of cylinder with height = 25m and radius = 5m is | 1963 m^3 | volume_cylinder | +| 38 | Surface Area of cone | Surface area of cone with height = 14m and radius = 4m is | 233 m^2 | surface_area_cone | +| 39 | Volume of cone | Volume of cone with height = 33m and radius = 17m is | 9987 m^3 | volume_cone | +| 40 | Common Factors | Common Factors of 29 and 41 = | [1] | common_factors | +| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -2/2x + 3 and y = -10/2x - 1 | (-1, 4) | intersection_of_two_lines | +| 42 | Permutations | Number of Permutations from 18 objects picked 9 at a time = | 17643225600 | permutation | +| 43 | Cross Product of 2 Vectors | [-3, 6, -11] X [15, -16, 15] = | [-86, -120, -42] | vector_cross | +| 44 | Compare Fractions | Which symbol represents the comparison between 4/8 and 9/7? | < | compare_fractions | +| 45 | Simple Interest | Simple interest for a principle amount of 9046 dollars, 1% rate of interest and for a time period of 9 years is = | 814.14 | simple_interest | +| 46 | Multiplication of two matrices | Multiply
11-1
-194
-103-8
and
6-46
075
27-8
|
4-419
2957
-76519
| matrix_multiplication | +| 47 | Cube Root | cuberoot of 335 upto 2 decimal places is: | 6.95 | cube_root | +| 48 | Power Rule Integration | 1x^5 + 3x^1 | (1/5)x^6 + (3/1)x^2 + c | power_rule_integration | +| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 64 , 57, 213 = | 26 | fourth_angle_of_quadrilateral | +| 50 | Quadratic Equation | Zeros of the Quadratic Equation 96x^2+191x+81=0 | [-0.61, -1.38] | quadratic_equation | +| 51 | HCF (Highest Common Factor) | HCF of 15 and 12 = | 3 | hcf | +| 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 | +| 53 | Exponentiation | 11^4 = | 14641 | exponentiation | +| 54 | Confidence interval For sample S | The confidence interval for sample [236, 288, 281, 252, 250, 254, 263, 228, 248, 245, 214, 221, 247, 235, 220, 286, 292, 242, 268, 215, 243, 283, 282, 212] with 99% confidence is | (263.2888975746178, 237.12776909204885) | confidence_interval | +| 55 | Comparing surds | Fill in the blanks 13^(1/4) _ 35^(1/1) | < | surds_comparison | +| 56 | Fibonacci Series | The Fibonacci Series of the first 5 numbers is ? | [0, 1, 1, 2, 3] | fibonacci_series | +| 57 | Trigonometric Values | What is cos(30)? | √3/2 | basic_trigonometry | +| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 9 sides = | 1260 | sum_of_polygon_angles | +| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[45, 17, 14, 27, 12, 11, 13, 38, 14, 48, 38, 48, 30, 41, 36] | The Mean is 28.8 , Standard Deviation is 186.69333333333333, Variance is 13.663576886501328 | data_summary | +| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 2m is | 50.26548245743669 m^2 | surface_area_sphere | +| 61 | Volume of Sphere | Volume of sphere with radius 95 m = | 3591364.0018287315 m^3 | volume_sphere | +| 62 | nth Fibonacci number | What is the 37th Fibonacci number? | 24157817 | nth_fibonacci_number | +| 63 | Profit or Loss Percent | Profit percent when CP = 169 and SP = 360 is: | 113.01775147928994 | profit_loss_percent | +| 64 | Binary to Hexidecimal | 100010 | 0x22 | binary_to_hex | +| 65 | Multiplication of 2 complex numbers | (12+17j) * (11-3j) = | (183+151j) | multiply_complex_numbers | +| 66 | Geometric Progression | For the given GP [10, 60, 360, 2160, 12960, 77760] ,Find the value of a,common ratio,11th term value, sum upto 7th term | The value of a is 10, common ratio is 6 , 11th term is 604661760 , sum upto 7th term is 559870.0 | geometric_progression | +| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 16 , 99 , 82 , 40 = | (16*99*82*40)^(1/4) = 47.742730688054316 | geometric_mean | +| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 64 , 21 , 60 , 61 = | 4/((1/64) + (1/21) + (1/60) + (1/61)) = 41.53507105403146 | harmonic_mean | +| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[508.56178681813515, 829.8393085389811, 141.9778436425696, 157.79854813315953, 936.4111703191011, 60.03432095552797, 309.1650693726604, 532.5680163890804, 249.7649337521495, 693.033334449361, 726.1934281438319, 824.6613026949497, 40.71867012843633] is: | 2000.941549572921 | euclidian_norm | +| 70 | Angle between 2 vectors | angle between the vectors [108.86, 442.35, 675.26, 315.79, 885.28, 45.3, 892.33, 447.4] and [987.81, 887.54, 199.52, 477.21, 587.71, 963.72, 615.65, 226.26] is: | 0.87 radians | angle_btw_vectors | +| 71 | Absolute difference between two numbers | Absolute difference between numbers -55 and 41 = | 96 | absolute_difference | +| 72 | Dot Product of 2 Vectors | [19, -17, -13] . [-16, 11, 5] = | -556 | vector_dot | +| 73 | Binary 2's Complement | 2's complement of 100 = | 100 | binary_2s_complement | +| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[65, 2, 89], [51, 73, 27], [48, 19, 39]]) is: | Matrix([[-778/25097, -1613/75291, 6443/75291], [231/25097, 579/25097, -928/25097], [845/25097, 1139/75291, -4643/75291]]) | invert_matrix | +| 75 | Area of a Sector | Given radius, 15 and angle, 33. Find the area of the sector. | Area of sector = 64.79535 | sector_area | +| 76 | Mean and Median | Given the series of numbers [68, 8, 77, 86, 93, 66, 6, 65, 41, 26]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 53.6 and Arithmetic median of this series is 65.5 | mean_median | +| 77 | Determinant to 2x2 Matrix | Det([[32, 3], [36, 4]]) = | 20 | int_matrix_22_determinant | +| 78 | Compound Interest | Compound interest for a principle amount of 7744 dollars, 10% rate of interest and for a time period of 2 year is = | 9370.24 | compound_interest | +| 79 | Decimal to Hexadecimal | Binary of 803= | 0x323 | decimal_to_hexadeci | +| 80 | Percentage of a number | What is 24% of 7? | Required percentage = 1.68% | percentage | +| 81 | Celsius To Fahrenheit | Convert 50 degrees Celsius to degrees Fahrenheit = | 122.0 | celsius_to_fahrenheit | +| 82 | AP Term Calculation | Find the term number 38 of the AP series: 37, -6, -49 ... | -1554 | arithmetic_progression_term | +| 83 | AP Sum Calculation | Find the sum of first 50 terms of the AP series: -23, 65, 153 ... | 106650.0 | arithmetic_progression_sum | +| 84 | Converts decimal to octal | The decimal number 1900 in Octal is: | 0o3554 | decimal_to_octal | +| 85 | Converts decimal to Roman Numerals | The number 2656 in Roman Numerals is: | MMDCLVI | decimal_to_roman_numerals | +| 86 | Degrees to Radians | Angle 184 in radians is = | 3.21 | degree_to_rad | +| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg | +| 88 | Differentiation | differentiate w.r.t x : d(tan(x)+9*x^4)/dx | 36*x^3 + tan(x)^2 + 1 | differentiation | +| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 93x^2 + 7x + 75 is = | 109.5 | definite_integral | +| 90 | isprime | 96 | False | is_prime | +| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 7 is = | 29973 | bcd_to_decimal | +| 92 | Complex To Polar Form | rexp(itheta) = | 15.65exp(i0.46) | complex_to_polar | +| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={8, 10, 3, 7} ,b={2, 4, 7, 9, 10}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 7, 8, 9, 10},Intersection is {10, 7}, a-b is {8, 3},b-a is {9, 2, 4}, Symmetric difference is {2, 3, 4, 8, 9} | set_operation | +| 94 | Base Conversion | Convert 3540 from base 10 to base 14. | 140C | base_conversion | +| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 48 and height, 64? | CSA of cylinder = 19301.95 | curved_surface_area_cylinder | +| 96 | Perimeter of Polygons | The perimeter of a 3 sided polygon with lengths of [23, 3, 55]cm is: | 81 | perimeter_of_polygons | +| 97 | Power of Powers | The 9^5^2 = 9^(5*2) = 9^10 | 3486784401 | power_of_powers | +| 98 | Quotient of Powers with Same Base | The Quotient of 40^3 and 40^5 = 40^(3-5) = 40^-2 | 0.000625 | quotient_of_power_same_base | +| 99 | Quotient of Powers with Same Power | The Quotient of 49^1 and 19^1 = (49/19)^1 = 2.5789473684210527^1 | 2.5789473684210527 | quotient_of_power_same_power | +| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 6x^2 + 8x + 1 = 0 | simplified solution : ((-0.14, -1.194)), generalized solution : ((-8 + sqrt(40))/2*6, (-8 - sqrt(40))/2*6) | complex_quadratic | +| 101 | Leap Year or Not | Year 2064 | is a leap year | is_leap_year | +| 102 | Minute to Hour conversion | Convert 442 minutes to Hours & Minutes | 7 hours and 22 minutes | minutes_to_hours | +| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 5507 is = | 1583 | decimal_to_bcd | +| 104 | Circumference | Circumference of circle with radius 94 | 590.6194188748811 | circumference | +| 105 | Combine Like terms | 9x^4 + 3x^6 + 9x^1 + 2x^2 + 1x^5 + 2x^3 + 6x^3 + 4x^1 | 13x^1 + 2x^2 + 8x^3 + 9x^4 + 1x^5 + 3x^6 | combine_like_terms | +| 106 | signum function | signum of 697 is = | 1 | signum_function | +| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.51% of population have. Test sensitivity (true positive) is equal to SN= 94.60% whereas test specificity (true negative) SP= 93.00%. What is the probability that this guy really has that disease? | 17.16% | conditional_probability | diff --git a/mathgenerator/funcs/__init__.py b/mathgenerator/funcs/__init__.py index 8bb773a..c17bfce 100644 --- a/mathgenerator/funcs/__init__.py +++ b/mathgenerator/funcs/__init__.py @@ -110,5 +110,6 @@ 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 .binomial_distribution import * diff --git a/mathgenerator/funcs/conditional_probability.py b/mathgenerator/funcs/conditional_probability.py index bf171e6..a13e3b1 100644 --- a/mathgenerator/funcs/conditional_probability.py +++ b/mathgenerator/funcs/conditional_probability.py @@ -24,4 +24,4 @@ def conditionalProbFunc(): conditional_probability = Generator("Conditional Probability", - 105, "P(A|+)=", "c", conditionalProbFunc) + 107, "P(A|+)=", "c", conditionalProbFunc) diff --git a/mathgenerator/funcs/signum_function.py b/mathgenerator/funcs/signum_function.py new file mode 100644 index 0000000..64400e0 --- /dev/null +++ b/mathgenerator/funcs/signum_function.py @@ -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) diff --git a/test.py b/test.py index f85884e..bc610af 100644 --- a/test.py +++ b/test.py @@ -5,11 +5,10 @@ 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.binomialDistFunc()) +print(mathgen.circumference()) +print(mathgen.genById(106))