The following data is given on a subset of the real line:3(a) Using the distance function: d(x1,12) = }(11 – 12)?, which of the followingthree situations (1-3) represents a converged solution to the K-means algo-rithm? The two means are given by the two square symbols (N). Justify youranswer with a brief discussion and calculations.333.

If the value in the last two consequent iteration are same then the algorithm is said to have…

Answered: The following data is given on a subset…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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My apologies for misunderstanding. Here's the translation: "A function, f:f(x,y)=x2+2y2−12x+xy is defined on the domain: Ω = {(x, y): -1 ≤ x ≤ 1, -1 ≤ y ≤ x}. Create a contour plot of the function and plot the boundary of Ω with a dashed line: In Python
Correct answer will be upvoted else downvoted. Computer science. You are given two integers n and k. You ought to make a variety of n positive integers a1,a2,… ,a to such an extent that the total (a1+a2+⋯+an) is distinguishable by k and greatest component in an is least conceivable. What is the base conceivable most extreme component in a? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of experiments. The solitary line of each experiment contains two integers n and k (1≤n≤109; 1≤k≤109). Output For each experiment, print one integer — the base conceivable most extreme component in cluster a to such an extent that the aggregate (a1+⋯+an) is distinct by k.
Not an exam. Just review for me. For each function f(n) below give an asymptoic upper bound using big-Oh notation. You should give the tighest bound (ie. smallest bound) possible and simplify the expression. Explain step by step how you your answers. Use signma notation to prove your answers if you can I attached the answers for question 3 and 4 for your reference so you can check your work but explain how you got those answers. I dont have the answer key for 1 so please try your best on that.
Please do the following questions with the full python coding and explanation below each question typed
Alice has asked you to help her classify these functions based on their asymptotic growth rate. That is, she wants you to prove a tight big-Theta bound for each function by following these steps. i. Use algebra to simply the function for ease of analysis. Remember the goal of simplification is to isolate terms and identify the dominant term. For instance, we might want to expand (n + 1)² to n² +2n+1 to see that n² is the dominant term. ii. Use your intuition, the limit test, or algebra to come up with a good guess of a tight bound. For instance, after isolating n² as the dominant term we might guess our polynomial is in (n²). iii. Use the limit test or the definitions to prove that your guess is correct. Both methods can provide correct proofs, and its a good idea to practice both methods. Sometimes our guess is incorrect and we need to return to the previous step. Transcribed Image Text: Alice has asked you to help her classify these functions based on their asymptotic growth rate.…
make mathlab code
Justify (argue, prove, ...) that the following formula is valid Vx A(x) V Vx B(x) → Vx (A(x) V B(x))
N.png ... If gcd(a, m) = 1, then the unique solution xo to ax = b (mod m) is equal to (1) xo = ab (mod m) (2) xo = ab (mod m), where b is the inverse of b. (3) xo = ām (mod m), where ā is the inverse of a. (4) xo = āb (mod m), where ā is the inverse of a. A Choice (2) (B) Choice (1) Choice (4) (D) Choice (3)
Please do the following question with the required python coding. Question is in the photo.
Let P2(x) be the least squares interpolating polynomial for f(x) := sin(πx) on the interval [0,1] (with weight function w(x) = 1). Determine nodes (x0,x1,x2) for the second-order Lagrange interpolating polynomial Pˆ2(x) so that P2 = Pˆ2. You are welcome to proceed theoretically or numerically using Python.
hi. i got the answer to this question wrong despite asking one of your experts. Please can you give another go and help me by providing a detailed solution to this question. Thank you
Find a tight bound solution for the following recurrence: T(n) = 4 T(n/2) + c n (c is a positive constant) That is, find a function g(n) such that T(n) ∊ Θ(g(n)). For convenience, you may assume that n is a power of 2, i.e., n=2k for some positive integer k. Justify your answer. [Note: Read question 1-(2) first before writing your answer] Prove your answer in 1-(1) either using the iteration method or using the substitution method.

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