# number

1. ### 3.14 vs. 3.141.../irrational pi for a circle

I realize math can be used for abstraction... Would using irrational pi for a circle other than 3.14 make the circle more eliptical? Why use the irrational number for a circle, instead of 3.14, if the irrational size for a circle cannot even exist in reality? why use it for a circle?
2. ### how can I find the number of common divisors

Hello, If I have two integers a and b and I know their gcd, then how can I find the number of common divisors between a and b? Thanks
3. ### 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...
4. ### Finding out the number of ways a bakery can give pies to the needy?

>At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it has 12 apple pies left at the end of a given day, in how many different ways can it distribute these pies among six food banks for the needy? >How many different ways can the bakery distribute...
5. ### The probability that a number is the maximum of multiple binomial draws

I'm trying to figure out how to calculate the probability that a given number is the maximum value of multiple binomial draws. Intuitively I know that the probability is dependent on the number of trials (N), the binomial probability of success (p) and the number of binomial draws (J). Does...
6. ### Proof that Pi − e is an irrational number

if I am not mistaken then π − e Still unsolved problems in mathematics (rational, algebraic irrational, or transcendental?) https://en.wikipedia.org/wiki/List_o...in_mathematics I think I have a proof that shows π − e is an irrational number. Proof that À-e is Irrational, viXra.org e-Print...
7. ### How do I analyse clinical data that has a variable number of measurements per patient

Thanks in advance for any help you can offer. I'm a PhD student and have just finished recruiting for an observational clinical study. Basically, I have recruited 100 patients and performed imaging of their coronary arteries. The measurements of the coronary arteries (e.g. diameter of vessel...
8. ### Complex number

Some thoughts or clues on this so I can guide my son and ask him the right questions so he can solve this:What complex number equals ? Thanks!!!
9. ### When will sqrt(a)+sqrt(b) = rational number

Hi All, I've been struggling with this one today. I know how to prove that sqrt(2) is irrational but this is a variation. Let a and b be positive integers such that sqrt(a) and sqrt(b) are irrational numbers. When will sqrt(a)+sqrt(b) = a rational number I do not think that this will ever be...
10. ### Which sets have cardinal number N_{0} or c?

(a) [1,3), c (b) Z, N_{0} (c) R x R, (d) R ∩ Z, (e) { 2^{-k} : k ∈ ℕ} I understand that aleph null means that it is infinite and that c means the set is finite like (0,1). What I am confused about is letters c through e. what is the cross product of rational numbers is it finite...
11. ### Matrix for rounding to the nearest whole number

Having trouble with part b. Is there a way to get a matrix calculation to round to the nearest integer?
12. ### the intersection number between a trivial loop and a meridian in the torus

Let A and B be two closed curves intersect on the torus transversally at a point, the intersection index of the crossing point is defined to be positive if the tangent vectors to A and B form an oriented basis for the tangent plane of the torus and negative otherwise. Then the intersection...
13. ### Complex Number puzzle

Hello everyone, ive got a new Maths sequence number puzzle which is kind of tough to crack, can you validate and crack for the next sequence number? List 1 - 26 40 38 17 3 4 10 List 2 - 43 39 13 6 18 2 8 List 3 - 33 10 18 40 17 8 2 Based this, can you understand the logic and Make list 4?? Good...
14. ### Complex Number Puzzle

Hello everyone, ive got a new Maths sequence number puzzle which is kind of tough to crack, can you validate and crack for the next sequence number? List 1 - 26 40 38 17 3 4 10 List 2 - 43 39 13 6 18 2 8 List 3 - 33 10 18 40 17 8 2 Based this, can you understand the logic and Make list...
15. ### Conversion % of a positive number to a negative

I am trying to figure out the conversion % of a positive number to a negative. Here is the example: If i had 1000 dollars more revenue produced this year compared to the same time last year, and made 106,600 dollars more in profit off of it compared to prior year - my conversion % would be...
16. ### help plz with imaginary number

i got a problem that said (i+1)(i+1)/(i-1)(1-). i foiled the top and bottom and simplified to get 2i/-2i, i don't know what to do here. the answer is -1, but how? i put in my calculator and it said that is was 1, there is something oblivious that i forgot or don't know
17. ### estimating peak when number and average of samples is known

Hi All, First post, please forgive ignorance. Is there any way to estimate the peak of a distribution if all I know is the number and average of samples (I don't even know the variance, I'm hoping that there is some kind of average variance I can expect). Here's what I need it for - I need to...
18. ### Square roots of a complex number

Suppose z^2=-8i, by letting z=x+yi. It is easy to get the two answers, 2-2i and -2+2i. We know that for real numbers \sqrt{4} refers to the positive square root of 4 i.e. 2. But what is the value of \sqrt{-8i}? which one do we choose? Is there a reason why the calculator gives 2-2i only...
19. ### Post subject: Sorting n real numbers in O(n), number of digits is O(1)

I need to explain how to modify radix sort, in order to sort n real numbers, when every number has O(1) digits. General and short description is enough. I thought of making the numbers to have same number of digits left and right to the decimal point, then sort with radix sort only the negative...
20. ### Number Generated with e-14 after it - need to use in equation

Hi What does it mean when a number is generated that looks like: 1.550416515391986e-14 Does this literally mean time log base e to -14? I think I have done something wrong as I have generated a number: -1.174834567834749e+00 and need to substitute that back into a quadratic equation. I am...