Question

It is said that a set A ⊆ C (complex set) is countable if there exist...

It is said that a set A ⊆ C (complex set) is countable if there exist a bijective function of natural numbers to A i.e. f: N -> C . ¿Is it possible to have a connected and countable set ? the idea is that we want to see if this is true in complex numbers

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let the set N of natural numbers be endowed with the cofinite topology (in which a...
Let the set N of natural numbers be endowed with the cofinite topology (in which a set is open if and only if it is empty or its complement is finite). (a) Is N connected? Justify your answer. (b) Is N compact? Justify your answer. (c) Explain why the function f : N → N, n→ n ^3 is continuous. (d) Exhibit a function g : N → N which is not continuous.
Let S denote the set of all possible finite binary strings, i.e. strings of finite length...
Let S denote the set of all possible finite binary strings, i.e. strings of finite length made up of only 0s and 1s, and no other characters. E.g., 010100100001 is a finite binary string but 100ff101 is not because it contains characters other than 0, 1. a. Give an informal proof arguing why this set should be countable. Even though the language of your proof can be informal, it must clearly explain the reasons why you think the set should...
For each set of conditions below, give an example of a predicate P(n) defined on N...
For each set of conditions below, give an example of a predicate P(n) defined on N that satisfy those conditions (and justify your example), or explain why such a predicate cannot exist. (a) P(n) is True for n ≤ 5 and n = 8; False for all other natural numbers. (b) P(1) is False, and (∀k ≥ 1)(P(k) ⇒ P(k + 1)) is True. (c) P(1) and P(2) are True, but [(∀k ≥ 3)(P(k) ⇒ P(k + 1))] is False....
Determine what is wrong with the following “proof” by induction that all dogs are the same...
Determine what is wrong with the following “proof” by induction that all dogs are the same breed. Theorem 1. All dogs are the same breed. Proof. For each natural number, let P(n) be the statement “any set of n dogs consists entirely of dogs of the same breed.” We demonstrate that for each natural number n, P(n) is true. P(1) is true, because a set with only one dog consists entirely of dogs of the same breed. Now, let k...
1. A function + : S × S → S for a set S is said...
1. A function + : S × S → S for a set S is said to provide an associative binary operation on S if r + (s + t) = (r + s) +t for all r, s, t ∈ S. Show that any associative binary operation + on a set S can have at most one “unit” element, i.e. an element u ∈ S such that (*) s + u = s = u + s for all...
Calculating the integral of a function means calculating the area between its curve and the x-axis,...
Calculating the integral of a function means calculating the area between its curve and the x-axis, in order to assign positive values where the function is positive and negative otherwise. However, we cannot take every function as integrable in an interval [a, b], because, before calculating the defined integral, we need to analyze the continuity of the function. Considering this information, analyze the following assertions and the proposed relationship between them. I. It is possible to calculate the integral of...
X is said to have a uniform distribution between (0, c), denoted as X ⇠ U(0,...
X is said to have a uniform distribution between (0, c), denoted as X ⇠ U(0, c), if its probability density function f(x) has the following form f(x) = (1 c , if x 2 (0, c), 0 , otherwise . (a) (2pts) Write down the pdf for X ⇠ U(0, 2). (b) (3pts) Find the cumulative distribution function (cdf) F(x) of X ⇠ U(0, 2). (Caution: Please specify the function values for all 1 (c) Find the mean, second...
X is said to have a uniform distribution between (0, c), denoted as X ~ U(0,...
X is said to have a uniform distribution between (0, c), denoted as X ~ U(0, c), if its probability density function f(x) has the following form f(x) = (1/c , if 0<x<c, 0 otherwise) (a) (2pts) Write down the pdf for X ~ U(0, 2). (b) (3pts) Find the cumulative distribution function (cdf) F(x) of X ~ U(0, 2). (c) Find the mean, second moment, variance, and standard deviation for X ~ U(0, 2). (d) Let Y be the...
Part C The quantum state of a particle can be specified by giving a complete set...
Part C The quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms). How many different quantum states are possible if the principal quantum number is n = 2? To find the total number of allowed states, first write down the allowed orbital quantum numbers l, and then write down the number of allowed values of ml for each orbital quantum number. Sum these quantities, and then multiply by 2 to account...
Kirby walked into Nancy’s office and said, “I need to talk to you.” He then closed...
Kirby walked into Nancy’s office and said, “I need to talk to you.” He then closed the door and said, “I didn’t appreciate it when you challenged my new production scheduling plan in the meeting. If you had real concerns, why didn’t you wait to talk to me in private? It’s embarrassing to have someone trash my ideas and I don’t want it to happen again.” Nancy, taken by surprise by Kirby’s response replied, “Well, I’m sorry if I embarrassed...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT