Q3 Let U = {5, 6 }, write an equivalent to the following assertions: 3x P ( x ) v - Vx Q ( x ) Q4. Ex. : letU = I, and N (x): " E (x): O (x): P (x): x is a nonnegative integer x is even " ; x is odd " ; x is prime " express the following assertions in logical notation The only even and prime must be two For all numbers, if an integer is not even, then it is odd
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A: Answer : True
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A: I have given an answer in step 2.
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A: I have given an answer in step 2.
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- Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for the rugged hero to tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The number of ways that a positive integer n can be represented as a sum of consecutive integers is called its politeness, and can also be computed by tallying up the number of odd divisors of that number. However, note that the linked Wikipedia de0inition…4.2) (L4) Give truth values for the propositional variables that cause the two expressions to have different truth values. For example, given p ∨ q and p ⊕ q, the correct answer would be p = q = T, because when p and q are both true, p ∨ q is true but p ⊕ q is false. Note that there may be more than one correct answer. r ∧ (p ∨ q) (r ∧ p) ∨ qC++ Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1 For example, starting from N = 3 the complete ’3N+1’ sequence would be: 3, 10, 5, 16, 8, 4, 2, 1 Write code to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that was received (entered by the user). The function must also count and return the numbers that the sequenceconsists of. The returned value must be displayed from the main() function.
- Correct answer will be upvoted else Multiple Downvoted. Computer science. pick a non-void adjacent substring of s that contains an equivalent number of 0's and 1's; flip all characters in the substring, that is, supplant all 0's with 1's, as well as the other way around; turn around the substring. For instance, think about s = 00111011, and the accompanying activity: Pick the initial six characters as the substring to follow up on: 00111011. Note that the number of 0's and 1's are equivalent, so this is a lawful decision. Picking substrings 0, 110, or the whole string would not be imaginable. Flip all characters in the substring: 11000111. Invert the substring: 10001111. Find the lexicographically littlest string that can be gotten from s after nothing or more tasks. Input The primary line contains a solitary integer T (1≤T≤5⋅105) — the number of experiments. Every one of the accompanying T lines contains a solitary non-void string — the input string s for…5 A. Let * be a new logical connective such that p * q does not hold if and only if p and q are either both false or both true. (i) Write down the truth table for p * q (ii) Write down the truth table for (p * p) * (q * q). (iii) Does the table in (b) coincide with a table in *Truth table available on the given image* (By "Coincide" we mean that the respective columns of T and F values are the same) B. Construct a formula in CNF based on each of the following truth tables: *Truth table available on the given image* C. Compute CNF (NNF ( IMPL_FREE ¬(p → ( ¬ (q ∧ ( ¬p → q))))))Consider the following predicates defined on N + .E(n) denotes “n is even”, and P (n) denotes “n is prime”. (a) Translate the following into ordinary English.i. ∃n (P (n) ∧ E(n)).ii. ∀n (E(n) ∨ ¬P (n)).iii. ¬∀n (E(n) ∨ P (n)).
- Correct answer will be upvoted else downvoted. Computer science. Presently Nezzar has a beatmap of n particular focuses A1,A2,… ,An. Nezzar might want to reorder these n focuses so the subsequent beatmap is great. Officially, you are needed to find a change p1,p2,… ,pn of integers from 1 to n, to such an extent that beatmap Ap1,Ap2,… ,Apn is great. In case it is unthinkable, you ought to decide it. Input The primary line contains a solitary integer n (3≤n≤5000). Then, at that point, n lines follow, I-th of them contains two integers xi, yi (−109≤xi,yi≤109) — directions of point Ai. It is ensured that all focuses are unmistakable. Output In case there is no arrangement, print −1. In any case, print n integers, addressing a legitimate change p. In case there are numerous potential replies, you can print any.int a[10] = {0,1,2,3,4,5,6,7,8,9};int *m = &a[0];int *p = &a[5];int *q = &a[1]; p = (int) m + (int) p - (int) q; what is the value of of *pMaclaurin series are a type of Mathematic series expansion in which all terms are nonnegative real powers of the variable. The Maclaurin series expansion for ???(?) is given by the following formulathat is valid for all real values of x such that x is in radians (Note that: ???????(?) = ? × ?/180): Implement a Java program to compute the value of Maclaurin series expansion for sin(x) where x is a nonnegative real value according to the following: Write a java method named Factorial that takes as an argument an integer value ? and returns the mathematical factorial ?! of ? as a long value such that: n! = n * (n-1) * (n-2) * ........*2 *1 Sample run:Enter an angle in degrees: 30Enter number of terms of maclaurin series: 5Sum of first 5 terms of Maclaurin sries of sin(30) is 0.500000.Math.sin(5) is 0.500000Math.sin(30) - Maclaurin series = 0.000000
- To represent an integer value of n in decimal, we need to use ⌈log10(n + 1)⌉ digits . Verify this using n = 35, 1290. Note that for any real number x, ⌈x⌉ is the smallest integer that is greater than x, this means we always round up. For example, ⌈10.3⌉ = 11, ⌈−5.2⌉ = −5. To represent an intege value of n in binary, we need to use ⌈log2(n + 1)⌉ binary digits . Verify this using n = 35, 1290. Use the definition of logarithmic function to show that log2n / log10n = log210For this assignment please use 2 arrays. Write a program DiscreteDistribution.java that will take an integer command-line argument m, followed by a sequence of positive integer command-line arguments a1,a2,…,ana1,a2,…,an, and will print m random indices (separated by whitespace), choosing each index i with probability proportional to ai.13. Implement function triangleArea(a,b,c) that takes as input the lengths of the 3 sides of a triangle and returns the area of the triangle. By Heron's formula, the area of atriangle with side lengths a, b, and c is √ s ( s−a )( s−b)( s−c ) , where s=(a+b+ c )/ 2 .>>> triangleArea(2,2,2)1.7320508075688772