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  1. May 22, 2024 · Concavity provides valuable insights into how a function curves, distinguishing between concave upward and concave downward shapes, while points of inflection mark locations where the curvature changes sign.

  2. Jul 30, 2019 · Here is a github repo on finding the concave hull for a set of points using python. My recommendation to you is the following. Create a set of points using the endpoints of each line. Then use the linked to code to generate a concave hull for these points, with some guess for the value of alpha.

    • Exercise 2: Create A Function with Variable Length of Arguments
    • Exercise 3: Return Multiple Values from A Function
    • Exercise 4: Create A Function with A Default Argument
    • Exercise 6: Create A Recursive Function
    • Exercise 7: Assign A Different Name to Function and Call It Through The New Name

    Write a program to create function func1()to accept a variable length of arguments and print their value. Note: Create a function in such a way that we can pass any number of arguments to this function, and the function should process them and display each argument’s value. Read: variable length of arguments in functions Function call: Expected Out...

    Write a program to create function calculation() such that it can accept two variables and calculate addition and subtraction. Also, it must return both addition and subtraction in a single return call. Given: Expected Output Expected Output:

    Write a program to create a function show_employee()using the following conditions. 1. It should accept the employee’s name and salary and display both. 2. If the salary is missing in the function call then assign default value 9000 to salary See: Default arguments in function Given: Expected output:

    Write a program to create a recursive function to calculate the sum of numbersfrom 0 to 10. A recursive function is a function that calls itself again and again. Expected Output: 55

    Below is the function display_student(name, age). Assign a new name show_tudent(name, age)to it and call it using the new name. Given: You should be able to call the same function using

  3. Apr 12, 2024 · Inflection Point is a point of the function where the concavity of the function changes. Learn more about inflection point along with methods to find the inflection point of a function in this article.

  4. Sep 22, 2024 · Examples of Concave Functions. Some examples of concave functions are: g(x) = - x 2; g(x) = log x; g(x) = -e x; Graphical Representation of Concave Functions. Mathematically, a function f(x) is concave if for any two points x 1 and x 2 and any λ ∈ [0, 1], the following inequality holds: f(λx 1 + (1 − λ)x 2) ≥ λf(x 1) + (1 − λ)f(x 2 ...

  5. Dec 8, 2021 · Python Functions Exercise. Practice how to create a function, nested functions, and use the function arguments effectively in Python by solving different questions. Topics: Functions arguments, built-in functions.

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  7. The mathematical definition of a function being concave between points $x_1$ and $x_2$ is the following: $\lambda f(x_1)+(1-\lambda)f(x_2) \leq f(\lambda x_1+(1-\lambda)x_2)$, for any $0 \leq \lambda \leq 1$. Can someone give a detailed, intuitive explanation of this theorem?

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