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Discrete Math Homework Help Online - Find The Best Discrete Math Tutor!

The area of mathematics known as discrete mathematics deals with objects like integers that can only take distinct, separated values. Because of how dependent the world has become on computers and information technology, this mathematics subject has recently become more well-known. Graph theory, algorithms, and optimization are only a few topics covered by discrete mathematics. Its significance lies in its many real-world applications. Discrete mathematics finds application in developing effective internet routing protocols, cryptography, electronic banking, security, telecommunications, and web search engines. Many students study this subject but find it challenging to ace it without assistance.

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Topics	Benefits
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Discrete Mathematics Homework Solutions

Why Do Students Need Help With Discrete Mathematics Homework Solutions?

Complexity:

Calculative homework and assignments can be difficult for engineering students to complete. It isn't easy since it combines computers and mathematics. Their discrete math homework ranges from short, simple activities to lengthy, sophisticated ones. For that reason, you need discrete mathematics help.

Inability to apply mathematics to real-world situations:
Students may find connecting a discrete math problem to a practical situation difficult. It is challenging to employ common sense, which is crucial in logical and quantitative science. Therefore, you must seek assistance from a discrete mathematics tutor.

Inability to solve problems that require multiple steps:
Students must evaluate the physical scenario, decide how to mathematically describe it, determine what has to be solved, and then finally solve the problem. Students are more likely to struggle when attempting to apply their knowledge to math problems that need numerous steps to solve. For that reason, they need discrete mathematics help.

Lack of accuracy:
The major issue with discrete mathematics is that it necessitates absolute perfection. You cannot risk making even a single error. If you don't, you will lose all of your points. So it's best to take discrete mathematics help online, ensuring accuracy and understanding in your assignments.

Discrete Math Topics Covered By Our Mathematics Tutors

Trees

Trees are undirected graphs in graph theory. In this, no two vertices are connected by more than one path. It resolves numerous challenging real-world issues.

Sequence
The sequence is a function f from a natural number to a set A in mathematics. In other words, a sequence is an ordered pattern between the components of a set.

Series
Series is the totality of a sequence. Do you know what represents it? Sigma is the symbol used to describe it. Examples of that include the Fibonacci series, geometric series, and arithmetic series.

Boolean Algebra
A logical statement can validate itself using a truth table thanks to boolean algebra, which operates on rational arguments and employs binary variables.

Sets
A set is a "defined collection of any given entity."

Graph theory
The central concept of graph theory is a collection of nodes or vertices connected by routes. It is frequently employed to address complex strategic issues.

Group Theory
If a mathematical operation on a set exhibits specific characteristics, the set becomes a group for that operation. Those properties are Closure, Associative, Identity element, and the existence of Inverse.

Permutation and Combination
Finding the number of possible arrangements or choices for particular items is done using the math concept of permutation and combination. Find, for instance, how many different options there are for choosing two boys from a group of 6 boys.

Mathematical logic
Mathematical logic determines if a set of propositions is logical and correct. We have a set of rules that we may use to determine whether or not the statement makes sense in light of those rules.

Relation and function
A function is a specific relation in which each element has a distinct image. Relation and function are a subset of the cartesian product of two sets.

Counting Theory
Counting theory is helpful when we must count every possibility to determine the total number of possible outcomes for a given scenario—two techniques aid in calculating those possibilities: permutation and combination.

Discrete Mathematics Tutor

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Discrete Math Help

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Recently Asked Discrete Mathematics Questions

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Q1:College of Arts & Sciences Computer Science Department CS 3653 - Discrete Mathematics for Computer Science BA # 6 Chapter # 5 Max. Points # 10 QUESTIONS Pts Use the Principle of Mathematical Induction to prove: SN 1 Any integer amount of postage from 18 cents on up can be made from an infinite supply of 4-cent and 7-cent stamps. 2 Use the Principle of Mathematical Induction to prove: 1 + 5 + 9 + ... + (4n - 3) = n(2n - 1) for every positive integer n. 5 5 Spring - 2024 Page 1 of 1See Answer
Q2:Question 1 12 pts Let A = {1, 2, 3, 4}. Let the functions F, G, and H be given with domain and codomain A defined as F(1)=3,F(2)=2,F(3)=2,and F(4)=4; G(1) =1,G(2) =3,G(3) = 4, and G(4) = 2; H(1) =2, H(2) =4, H(3) = 1, and H(4) = 3. Find the following: (a) Fo G (b) Ho F (c) G o H (d) Fo Go H Edit View Insert Format Tools Table 12pt v Paragraph V B I U AV & VTV V 3º V V V : Time Attem 5 Da' Secol p 0 words </> Question 2 10 pts Given: f ={(a, 1), (b, 2), (c, 3), (d, 4)} g-1={(2,1),(3,2),(4,3), (1,4)} Verify the following: (g o f)-1 (x) = f-1 og-1(x) Edit View Insert Format Tools Table 12pt v V Paragraph BIUAV T2 > V V D V V : p 0 words > Question 3 10 pts If f : R\{-1} -> R\{1} is defined by f(x) = 1+x 1-x and g : R -> R is defined by g(x) = 1+22, then 2x prove that f o g(x) =(f(x))2. Edit View Insert Format Tools Table 12pt v Paragraph B I U A V & V TV 00 V > > ... p 0 words </> Question 4 8 pts Let f(x) = ax + b and g(x) = cx + d, where a, b, c, and d are constants. Determine necessary and sufficient conditions on the constants a, b, c, and d so that f og = go f. Edit View Insert Format Tools Table 12pt v V Paragraph B I U A V & V TV V V A VE V : p 0 words Question 5 9 pts Prove the following using the Pigeonhole Principle. (a) Prove that among any group of 27 English words, there are at least two words that start with the same letter. (b) Prove that among any group of 13 people, there are at least two people who have the same number of friends within the group, when each person does not know atleast one person. (c) In a group of 101 people, each person in the group knows a unique set of 10 languages. Prove that there are two people in the group who can communicate with each other in at least two different languages. Edit View Insert Format Tools Table 12pt Paragraph v B I U A V & V TV 20 V V D V : p 0 words 7 Question 6 16 pts For the following sequences find their closed AND recursive expressions. Be sure to add in all parts for both (a) (3, 7, 11, 15, ... ) (b) (2, 6, 12, 20, ... ) (c) (1, -2, 3, -4, ... ) (d) (1, 3, 6, 10, ... ) Edit View Insert Format Tools Table 12pt Paragraph V B I U A V & V TV 00 V V V V ... p 0 words </> 1 Question 7 12 pts Use and/or ][ notation to rewrite the following (a) (x+y+1)-(x+y+2)+(x+y+3) -... +(x+y+57) (b) (x+1)(x2 +2)(x3+3) ... (x20 +20) (c) 1(0+1) +2(0+1+2)+3(0+1+2+3) Edit View Insert Format Tools Table 12pt v V Paragraph BIUA > > T2 V 30 V V A > ilılı V : p 0 wordsSee Answer
Q3:9) [5] The partial ordering relation S is shown with the Hasse diagram to the right. List the elements S. 20 10See Answer
Q4:8) [6] Consider the undirected graph to the right. a) List the vertices. b) List the edges. c) List the degree of each vertex in a table. d) Is it a simple graph? Why or why not?See Answer
Q5:7) [10] Let A = {1,2,3,4}. Define the relation R on A by aRb if and only if a > b - 1. a) List the elements of R. b) Use technology to create a digraph. Paste to the right. (6 points) You will earn half credit for a hand drawn picture. A nice free program: graphonline.ru/en/ c) Is R reflexive? Why or why not? d) Is R transitive? Why or why not?See Answer
Q6:5) [3] Let R and S be relations on Z where R = {(n,n) VnE Z} and S = {(1, 2) Vn E Z}. Hint: write out some of the terms of R and S for insight into the problem. a) Find RS. b) Find SR.See Answer
Q7:4) [5] Let R and S be relations on A = {1,2,3,4,5,6} such that R = {(1,3), (1,4), (2,2), (4,1),(5,2), (6,3)} and S = {(2,2), (2,4), (3,1),(4,1), (3,5)}. a) Find RS. b) Find SR.See Answer
Q8:3) [4] Let R be a relation from A = {2,4,6,8,10} to B = {-1,0,1} such that R = {(a, b) = A x BV a = 2b +6}and S be a relation from B = {-1,0,1} to C = {2,3,4} such that S = {(b, c) € B x C Vc - bisodd}. a) List the element of R. b) List the element of S.See Answer
Q9:2) [9] Let A = {2,4,6,8,10}. Let S be a relation on A defined by (a, b) ES if and only if a V b (a divides b). a) List the elements of S. b) Is S reflexive? Why or why not? c) Is S symmetric? Why or why not? d) Is Santisymmetric? Why or why not? e) Is Stransitive? Why or why not? f) Is Sa partial ordering? Why or why not? g) Is San equivalence relation? Why or why not?See Answer
Q10:1) [4] Let A = {2,4,6,8,10}. Let R be a relation on A defined by (a, b) E R if and only if a > b+ 1. Are the following elements of R? Why or why not? a) (4,4) b) (8,2) c) (2,10) d) (6,0)See Answer
Q11:4. Define a relation on the plane by setting (xo, yo) < (x1, y₁) if either yo − x² < y₁ − x², or yo – x² = y₁ − x² and x < x₁. Show that this is an order relation on the plane, and describe it geometrically.See Answer
Q12:2. Let C be a relation on a set A. If Ao C A, define the restriction of C to Ao to be the relation Cn (Ao x Ao). Show that the restriction of an equivalence relation is an equivalence relation.See Answer
Q13:FEB. 16 1. Let f A B. Let Ao C A and Bo C B. (a) Show that Ao C f¹(f(Ao)) and that equality holds if f is injective. (b) Show that f(f-¹ (Bo)) C Bo and that equality holds if f is surjective.See Answer
Q14:Problem 5. A perfect square is an integer which is also square of an integer. More formally, n E Z is a perfect square if n = a² for some a € Z. Prove or disprove the following two claims. a) If m and n are perfect squares, then the product mn is also a perfect square. b) If m and n are perfect squares, then the sum m + n is also a perfect square.See Answer
Q15:Problem 4. Let the universe for the variables in the following statement consist of all real numbers. Negate and simplify Vx+y[(lx] = [y]) → (y = ±x)].See Answer
Q16:Problem 3. Consider each of the following arguments. If the argument is valid, identify the rule of inference that establishes its validity. If not, explain why. a) Andrea can program in C++, and she can program in Java. Therefore, she can program in C++. b) If Ron's computer program is correct, then he'll be able to complete his computer science assignment in at most two hours. It takes Ron over two hours to complete his computer science assignment. Therefore, Ron's computer program is not correct. c) If interest rates fall, then the stock market will rise. Interest rates are not falling. Therefore, the stock market will not rise.See Answer
Q17:Problem 2. Assuming proposition q is true (T), determine all truth value assignments for the propositions p, r, and s for which the truth value of the following compound proposition is false (F). (q→ [(p^r) v¬s]) V[s → (r^q)] Explain your reasoning.See Answer
Q18:Problem 1. Verify that [p → (q→r)] → [(p → q) → (p →r)] is a tautology.See Answer
Q19:6. Consider c, a 3-colouring of the set of natural numbers defined by 0 if 9|n c(n) 1 if 9 n and n is even 2 if 9 Xn and n is odd Determine the size of the longest c-monochromatic sequence a₁ <a₂ < < a with the property that for each i = [2, k], a; - a¡-1 is a prime number.See Answer
Q20:1. Write a short essay (300-400 words) on the life and work of Issai Schur.See Answer

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