# set

1. ### Need Help With Formal Language Theory

I need some assistance with this formal language theory problem. 2. (5 points) When defining a formal language, we usually name our alphabet Σ. Consider a language that has the following alphabet: Σ = {a, b, e} A language that belongs to this alphabet is a set of strings that are...
2. ### Set help

I'm not sure if this is the correct thread but any help would be appreciated! Rewrite the following listed sets by specifying a defining property of the elements, i.e. in the form{x : P(x)}. [There may be more than one way to do this.] (i). A = {3, 5, 7, . . .} (ii). B =1,12,14, . . ....
3. ### Set problem help

Hello, I am really struggling with this problem below: Let A, B, and C be sets in a universal set U. We are given n(U) = 77, n(A) = 39, n(B) = 40, n(C) = 23, n(A ∩ B) = 22, n(A ∩ C) = 14, n(B ∩ C) = 13, n(A ∩ B ∩ CC) = 13. Find the following values.(a) n((A ∪ B ∪ C)C) (b) n(AC ∩ BC ∩...
4. ### finding the biggest number needed that multiples to the numbers in a set

I am trying to figure out a way to find the biggest "small" number that I need to multiple within a set of numbers... For example using the numbers 1-10 as the set Small number (SN) Largest number (LN) SN times LN 01 10 02 05 03 03 01 09 02 04 01...
5. ### Trying to solve a set problem given several sets

Hello, I've been trying to figure out how to solve this question below: Let A, B, and C be sets in a universal set U. We are given n(U) = 82, n(A) = 46, n(B) = 41, n(C) = 42, n(A ∩ B) = 25, n(A ∩ C) = 18, n(B ∩ C) = 23, n(A ∩ B ∩ CC) = 13. Find the following values.(a) n(AC ∩ B ∩ C) (b)...
6. ### Help with Proof in Set Thoery

Hi, I'm new to proof and I want to know if I've proved this and how it could be improved. I'm unsure if I have because of the if and only if condition. Prove A\subseteq B \iff A^c \cup B = U Suppose A\subseteq B . Let x \in A. Then x \in B because A \subseteq B . Now let the absolute...
7. ### Matlab Plotting Euler Iteration Against Exact Solution how to Set Initial Condition

Hi I have the following code to plot an approximation using Euler's iteration against the exact value of the function. I have used x and y for time and population when coding the Euler iterations and t and m for time and population when plotting the exact function. I can't work out how to...
8. ### Simple question about set members

I am reading the intro chapter of "Basic Set Theory" by Levy. This is a question relating to Russel's antimony: \neg \exists y \forall x(x \in y \leftrightarrow x \notin x) , where x and y are sets. (They aren't classes since the chapter hasn't covered that yet.) I am confused a bit how any...
9. ### Set Theory

Hello :) When solving some inequalities, I have come to the following results and I was wondering if there is anything else to be done. 1. A \cup (B \cap C^c) and \left( (A^c \cap B^c) \cup (B \cup C) \right) Working with the right hand side and applying De Morgan's law; \left( (A^c \cap...
10. ### Can we model the experiments as a stochastic process and estimate the sample size?

I have an image with the size 5575x9440 and I'm implementing a modified version of the algorithm used in this paper on it, but because the code performance is low right now, I have divided the image to 52628 submatrices of the size 25x40 (1000 pixels) and my first experiments show that...
11. ### cardinality of a set

Hi, What is the cardinality of the set of all idempotent functions (FoF=F) from R to R (R is the set of all real numbers). Thank's in advance.
12. ### Determine the following set in interval form

i have this very rare problem for me in interval... can anyone help me on this please.. thank you
13. ### no of reflexive relations on a set cant be 2^(n^2-n).

no of reflexive relations on a set cant be 2^(n^2-n).as we have to take diagnol elements only..so no of reflexive relations are coming out to be n only.if we have a set{1,2,3,4}.then the reflexive relations are only (1,1);(2,2);(3,3);(4,4)..please correct me with reasoning if i'm wrong.

I have to proof following using characteristic function. I am not familiar with characteristic function to do it. Question: Using characteristics function show that A ∩(B ∪C) = (A ∩B)∪(A ∩C). Please help in solving it. Thanks Eshaq
15. ### Extending an independent set in an abelian finite group.

Hi: Trying to prove that an abelian finite group G with a subgroup H has a subgroup isomorphic with G/H, I stumbled on the following problem: let G be finite abelian and supose A= {a_1, a_2} is an independent subset of G which does not generate G. Can I find a_3 such that {a_1, a_2, a_3} is...
16. ### introduction to set theory

I have some trouble when proving the existence of set. In this particular case, I would like to have some help as to how to prove that Seq(A) exists. Where Seq(A) denotes the set of all finite sequences of elements of A. I am using as textbook "Introduction to set theory" from Hrbacek. I would...
17. ### A set and R^n

Hello, in my book it is explained what it means when a set is contained in another set. I. E. A\subseteq B But then in a problem I am given the following : A=(\vec{a_{1}},...,\vec{a}_{k}) is a set of vectors that is contained in R^{n}. (a set that is contained in a dimension.) So it's...
18. ### [CALC 1]: Find a set of real numbers a, b, and c for which this piecewise-defined....

Find a set of real numbers a, b, and c for which this piecewise-defined function is (everywhere) differentiable: f(x)= tan-1x, x≤ 0 f(x)= ax2 + bx + c, 0 < x < 2 f(x)= x3- 1/4x2 + 5, x ≥ 2 so i plugged in x for the numbers and got: tan-1(0)= 0 a(0)2 + b(0) + c = 0 a(2)2 + b(2) + c= 4a+2b+0...
19. ### Set Proof Question

Hey, can someone please help me with this question. I would like to prove the following: (A⊕B)⊕C = A⊕(B⊕C) For subsets A,B,C of the universal set.
20. ### Set Identity help

can somebody explain what the name of this property is. i cant find it anywhere in my textbook. and why does it work? heres a bigger version of the image if u cant see. http://i.imgur.com/uM7lD5y.png