22. All discrete mathematics students can tell a valid argument from an invalid one. All thoughtful people can tell a valid argument from an invalid one. ... All discrete mathematics students are thoughtful.
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Discrete Mathematics:
Indicate whether the arguments are valid or invalid. Support your answer by drawing diagrams:
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- Solve the following questions: a)Solve the following postfix expressions i)2 3 + 1 - ii)3 4 - 10 + 7 2 3 * - 9 * /a) Convert the following infix to postfix expressions i)2 * 3 - 5 / 2 + 4 ii)1 * 2 * 3 * 4answer the following sentence atleast in 5 sentenceSpecify true (T) or false (F) for each of the following statements.(a) In dynamically typed languages, a type error is unnoticed if the statement containing the error is neverexecuted.Answer: true false(b) In OCaml fold right is tail recursive while fold left is not.Answer: true false(c) Immutability fits the functional programming paradigm. Mutability fits the imperative programmingparadigm.Answer: true false(d) Higher order functions are the functions that run with higher than O(n) time complexity.Answer: tree false(e) In every programming language, code must be compiled before it is run.Answer: true false(f) Every language that is a regular language is also a context-free language.Answer: true false(g) Regular expression and finite state automaton are equivalently powerful.Answer: true false(h) Lambda calculus is Turing-complete.Answer: true false
- DO NOT COPY ANSWER FROM ANOTHER QUESTION LEAVE IF you cannot do it perfectly. Otherwise, I will not only DOWN the vote but also REPORT you to the official Chegg team.I won't stop calling Chegg until they really pay attention to this trash behavior. Write a structurally recursive function (prefix->postfix exp) that takes as input an expression in the same little language as Problem 4. prefix->postfix returns an expression of the same form as its input, except that all function applications have been reversed. Finish this Racket code below to answer the question above.(define prefix->postfix(lambda (exp)))For each of the following statements, state whether it is True or False. 8. The intersection of a regular language and a nonregular language must not be regular. Group of answer choices True False3, A lecturer intends to separate his students into 2 groups based on their INDEX Numbers, those with odd numbers in group A and EVEN numbers in B. Use if-else statement to implement this
- Compute the weakest precondition for each of the following sequencesof assignment statements and their postconditions:1. a = 2 * b + 1;b = a - 3{b < 0}2. a = 3 * (2 * b + a);b = 2 * a - 1{b > 5}Provide an illustration of how the Structured Programming Theorem may remove uncertainty caused by GOTO statements and simplify code that is too complicated. When you create an essay of the right length, be sure that you only use your own words.1. Create a well-formed Python recursive function (i.e, there must be a stopping/base case and the recursive case must present a smaller problem), along with a call to that function. 2. Trace your function and call. Remember that you must keep track of memory for each function call and provide output. 3. Present a relationship with the domain some subset of the integers that is to be proven via Mathematical Induction. 4. Prove your relationship with the domain some subset of the integers via Mathematical Induction. Note you must detail each of the four steps and show all of your work.
- Given the following regular expressions, write, for each of them, a word that belongs to the language that the expression represents and another that does not belong to said languagea. (1∗ + 0∗)(1∗ + 0∗)(1∗ + 0∗) 3. 1∗(0 + 10∗)1∗b. (1 + 0)∗10(1 + 0)∗ 4. 10∗ + 01∗Write the following English statements using the following predicates and any needed quantifier. The domain of all variables are all people in a university S(x): x is a student F(x): is a faculty member A(x, y): x has asked y a question Some students have not asked any faculty member a question There are at least two students who have asked every faculty member a question There is a faculty member who has asked every other faculty member a questionWrite the following English statements using the following predicates and any needed quantifier. The domain of all variables are all at the school S(x): x is a student F(x): is a faculty member A(x, y): x has asked y a question Every student has asked Dr. Lee a question