provide a python function such that when the master theorem is used, it should output O(n^1.6.)
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Q: = P1*1 P2*₂. -Prk. et g = gcd(k₁, k2.... k) and m, = k₁/g. he function F is defined as: F(n) = P11…
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![provide a python function such that when the master theorem is used, it should output O(n^1.6..)
Moreover, using the same created function, make it such that when the master theorem is used, it should output O(n^2.6.)
The function can be anything, just the Big - O notation should just be that](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb73045d-7628-41a9-a37c-298b52806e67%2F9402fc25-856c-4c12-ab2b-a94d736c3136%2Fjvkm46l_processed.png&w=3840&q=75)
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- Write a Python programs to do frequency counting of the sum of two dice. Your function should accept an integer nn parameter to run nn trials (i.e., multiple rollings of the two dice); You can use the Python function randrange(1, 7) to simulate the roll of one die; After running the nn trials, your function should return the sum of two dice that occurs most frequently. Please implement the following: sim_dice(n) Estimate the most probable sum of rolling two regular 6-faced dice repeatedly, using frequency counting. The function definition has already been started, below. It has one parameter, the number of rolls to perform on the two dice that you will frequency count. The return value will be the most common sum, and the frequency of that sum (e.g. the dice sum of 7 happens 142 times). main() The only purpose of this function is to call sim_dice(1000) and print the returned value of the most frequently occurring sum. You are required to use this starter code as part…CAN YOU PLEASE RUN IT IN ONLINE GDB! C language. Write a program using pointers, which based on the adequate functions compute the sum, difference, dot product, or cross product of two vectors in Rn. Write a program using pointers, which based on the adequate functions, computes the sum, difference of multiplication of two matrices in Rm×n.code required for python: For this question, you will be required to use the binary search to find the root of some function f(x)f(x) on the domain x∈[a,b]x∈[a,b] by continuously bisecting the domain. In our case, the root of the function can be defined as the x-values where the function will return 0, i.e. f(x)=0f(x)=0 For example, for the function: f(x)=sin2(x)x2−2f(x)=sin2(x)x2−2 on the domain [0,2][0,2], the root can be found at x≈1.43x≈1.43 Constraints Stopping criteria: ∣∣f(root)∣∣<0.0001|f(root)|<0.0001 or you reach a maximum of 1000 iterations. Round your answer to two decimal places. Function specifications Argument(s): f (function) →→ mathematical expression in the form of a lambda function. domain (tuple) →→ the domain of the function given a set of two integers. MAX (int) →→ the maximum number of iterations that will be performed by the function. Return: root (float) →→ return the root (rounded to two decimals) of the given function. my code below , however as…
- Program in python There is function F Give an integer n (n 2 2), consider the prime factorization n p P22 Let g god(k1, k. k) and m, = k; /g. The function F is defined as: F(n) = p1 22 Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a grven value of N: F(2) + F(3) + +F(N) As the above sum can be extremely large Example if F(125) =5, thus the answer for this is by five more than for the previous one.This is Python Python's pow function returns the result of raising a number to a given power. Define a function expo that performs this task, and state its computational complexity using big-O notation. The first argument of this function is the number, and the second argument is the exponent (nonnegative numbers only). You may use either a loop or a recursive function in your implementation. Caution: do not use Python's ** operator or pow function in this exercise! ***Application specifically requests a GUI interface.***Program in python There is function F. Give an integern (n 2 2), consider the prime factorization n p1 p Let g gcd(k, k2, . k) and m, k, /g. The function F is defined as: F(n)=p1", p22 Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N F(2) + F(3) +.+ F(N).As the above sum can be extremely large Example if F(125) = 5, thus the answer for this is by five more than for the previous one.
- Write a code Using Pointers that can print a table of values for coordinatepoints (x,y) for a given expressiona. Your code should be able to calculate the function values of typey=mx+cb. Ask the user to give input of m and c. Use pointersc. Ask the user to input how many data points of the function he wants togenerate. Use pointersd. Then dynamically allocate memory for those data pointse. Take input for the x coordinates and store them in the allocateddynamic memory using pointers.f. Calculate the corresponding y values and store them in anotherdynamically allocated memory array.g. Print the data points (x and y) in a tabular form. Use pointers.Write a function(define) the_divisor(n, bound), that takes in two int values. N is the number you search for a divisor and bound will also be an integer. The function the_divisor should return the smallest divisor which is greater than bound. If no such integers exists, return -1. You cannot assume that the first argument will be larger than the second. In python >>> the_divisor(25,3) 5 >>>the_divisor(5,25) -1Program in python There is function F. Give an integer n (n ≥ 2), consider the prime factorization n=pi³1 P2²₂ Let g = ged(ky, k₂. k) and m, = k/g The function F is defined as F(n) = P11 P2" Prr Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N: F(2) + F(3)+...+F(N) As the above sum can be extremely large Example if F(125)=5, thus the answer for this is by five more than for the previous one.
- Please answer it in Python Write a double_consonant function , It takes a word as a parameter and has two return values : A Boolean value equals True If the word contains a double consonant ( The same consonant twice in a row ), under these circumstances , The second value returned is the double consonant ; If there are no double consonants , Function should return False and None. relevant information : To simplify the exercise , We don't use words that contain multiple double consonants ( for example ,“successor”) Test your functionality on . Example : double_consonne('arrivee') vaut True, 'r'.double_consonne('bonbon') vaut False, Nonedouble_consonne('reussite') vaut True, 's'Define a Python 3 function shuffle_language (A, B) that returns the shuffle A||B of languages A and B. Return the result as a set of strings, that is, without duplicates. If you want to use your function from the previous question, you will need to include it as part of your answer to this question. For example: Test Result print (sorted (shuffle_language({'ab'}, {'cd', 'e'}))) print (sorted (shuffle_language({}, {'aa', 'ab', 'bb'}) ) ) [] ['abcd', 'abe', 'acbd', 'acdb', 'aeb', 'cabd', 'cadb', 'cdab', 'eab']Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion. Examples decimal_to_binary(7) should return 111 decimal_to_binary(128) should return 10000000 decimal_to_binary(5) should return 101 Make sure your function signature matches the given function decimal_to_binary(decimal_number) because I will be using unit tests to evaluate your code. Return an integer representing the binary number from the function, not a string representation. Python
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