area Algorithm
The area under curve (AUC) algorithm is a popular evaluation metric used in various fields such as machine learning, statistics, and data analysis for assessing the performance of classification models. It is particularly useful when dealing with imbalanced datasets or when the cost of false positives and false negatives is significantly different. The AUC algorithm computes the area under the Receiver Operating Characteristic (ROC) curve, which is a plot representing the true positive rate (sensitivity) against the false positive rate (1-specificity) for different classification thresholds. A perfect classifier would have an AUC of 1, while a random classifier would have an AUC of 0.5. Thus, the closer the AUC is to 1, the better the classification model performs at distinguishing between the positive and negative classes.
To calculate the AUC, one can use various methods, such as the trapezoidal rule, which involves dividing the ROC curve into several trapezoids and summing their areas. Another approach is to use the Mann-Whitney U statistic, which compares the ranking of the predicted probabilities of the positive and negative classes. In machine learning, the AUC is often used for model selection, where different models or hyperparameters are compared based on their AUC scores. Furthermore, the AUC can be used to assess the performance of a model across different classification thresholds, making it suitable for various applications, including medical diagnosis, fraud detection, and recommendation systems. Overall, the area under curve algorithm is a valuable tool for evaluating and comparing the performance of classification models, particularly in situations where the balance between true positive and false positive rates is crucial.
"""
Find the area of various geometric shapes
"""
import math
def area_rectangle(base, height):
"""
Calculate the area of a rectangle
>> area_rectangle(10,20)
200
"""
return base * height
def area_square(side_length):
"""
Calculate the area of a square
>>> area_square(10)
100
"""
return side_length * side_length
def area_triangle(length, breadth):
"""
Calculate the area of a triangle
>>> area_triangle(10,10)
50.0
"""
return 1 / 2 * length * breadth
def area_parallelogram(base, height):
"""
Calculate the area of a parallelogram
>> area_parallelogram(10,20)
200
"""
return base * height
def area_trapezium(base1, base2, height):
"""
Calculate the area of a trapezium
>> area_trapezium(10,20,30)
450
"""
return 1 / 2 * (base1 + base2) * height
def area_circle(radius):
"""
Calculate the area of a circle
>> area_circle(20)
1256.6370614359173
"""
return math.pi * radius * radius
def main():
print("Areas of various geometric shapes: \n")
print(f"Rectangle: {area_rectangle(10, 20)=}")
print(f"Square: {area_square(10)=}")
print(f"Triangle: {area_triangle(10, 10)=}")
print(f"Parallelogram: {area_parallelogram(10, 20)=}")
print(f"Trapezium: {area_trapezium(10, 20, 30)=}")
print(f"Circle: {area_circle(20)=}")
if __name__ == "__main__":
main()
