Please consider the Gauss diagrams below. draw a closed curve corresponding to this Gauss diagram, or try to explain why you think that there is no closed curve corresponding to this Gauss diagram.
Category: Discrete Math
Attached is a PDF file that contains 6 discrete maths questions that need to be
Attached is a PDF file that contains 6 discrete maths questions that need to be solved by hand with every detail.
Directions For this assignment, you will need to prove (or disprove) the followi
Directions
For this assignment, you will need to prove (or disprove) the following statements. You will also need to record yourself presenting the proof of each. You can do this as three videos or just one. You can record these on Zoom (or Google meet) and provide a link similar to how I do for our videos for this class (recording to a cloud). Pictures of the proofs and link(s) to your videos is what you will submit!
Your video should include the following:
A brief introduction where you show your face and introduce yourself.
A statement of the problem you are solving.
A step by step explanation of what you did to prove this statement.
A clear ending to a proof( Since the Question is asking for a video, I will need a detailed script to read from for my own purposes explaining each question on the homework)
Questions
1. Given f: A → B and subsets Y, Z C B, prove the relation below:
f-‘(Ynz) =f-‘(Y)nf-‘(z)
2. Consider the function f : R? → R? defined by the formula f(x, y) = (zy, x3). Find a formula for fo f (Nothing to prove here, just show the calculation and the steps).
3. Define a relation R on Z as xRy if and only if z? + y? is even. Prove R is an equivalence relation.
Describe its equivalence classes.
Suppose you have a triangle with side lengths of 5 cm, 8 cm, and 10 cm. Determin
Suppose you have a triangle with side lengths of 5 cm, 8 cm, and 10 cm. Determine whether the triangle is:
a) Scalene
b) Isosceles
c) Equilateral
Explain your reasoning for each classification, considering the properties of each type of triangle.
I have attached two files with the two documents. Please put each answer of the
I have attached two files with the two documents.
Please put each answer of the homework file in a new separate Word document.
I have attached two files with the two documents. Please put each answer of the
I have attached two files with the two documents.
Please put each answer of the homework file in a new separate Word document.
I have attached two files with the two documents. Please put each answer of the
I have attached two files with the two documents.
Please put each answer of the homework file in a new separate Word document.
I have attached two files with the two documents. Please put each answer of the
I have attached two files with the two documents.
Please put each answer of the homework file in a new separate Word document.
The questions need to be done on Microsoft word All of the questions and details
The questions need to be done on Microsoft word
All of the questions and details are in the attachment. I need two versions, same correct answers but structurally different.
Mastermind is a game in which you have to guess a hidden code made of 4 “color p
Mastermind is a game in which you have to guess a hidden code made of 4 “color pegs” (a tuple), from a set of 7 colors {R,G,B,Y,W,K,O}. The code maker responds to your guess with smaller “key pegs,” which are black or white (a multiset) and indicate exact or color matches with the code. (More precise definition below.)
Your assignment:
Read this guide and return to it, because I’ll update with pointers to answers with comment.
#1 Is a problem with a danger of overcounting codes with repeated colors, so I give three ways to count.
Each has an explanation from chatGPT that is often wrong, as it learns when I tell it to “Check that by brute force.” That will tell you the target number.
Make your answer self-contained by briefly restating the problem. E.g., “A guess of RRGW got a response of one black, one white key pegs. Let’s count how many codes are consistent with that response.”
question #1.
You are playing Mastermind by making a guess that is a 4-tuple drawn from a set of 7 color pegs, {R,B,G,Y,W,K,O} (order matters, repeats allowed). The codemaker responds with a multiset 0 to 4 black or white key pegs (order doesn’t matter; repeats allowed). Each b indicates some guess peg matches the code in position and color; w indicates some guess peg has a right color in the wrong position. (A more precise statement of the rules is in CW#30.)
You want to know how many codes are consistent with the response to your guess, because that is the first step to narrowing this down to one code.
Here is your guess and the response:
RRRYww
https://chat.openai.com/share/ea81a6de-48cd-442f-8…
question 2:
You are playing Mastermind by making a guess that is a 4-tuple drawn from a set of 7 color pegs, {R,B,G,Y,W,K,O} (order matters, repeats allowed). The codemaker responds with a multiset 0 to 4 black or white key pegs (order doesn’t matter; repeats allowed). Each b indicates some guess peg matches the code in position and color; w indicates some guess peg has a right color in the wrong position. (A more precise statement of the rules is in CW#30.)
You want to know how many codes are consistent with the response to your guess, because that is the first step to narrowing this down to one code.
Here is your guess and the response:
RGBKw: https://chat.openai.com/share/aed9a55d-12d8-402a-9…
Please restate the guess and response to make your answer self-contained. You are encouraged to find different solutions from existing answers, or present it in a different way (with diagrams, to a bright middle schooler, as briefly as possible, …) or diagnose what the linked ChatGPT transcript gets right or wrong. (It’s “check by brute force” does report the right number, though its explanation is often wrong.)