# specific

1. ### Understanding a specific Chebyshev integral

I have a situation where I'm trying to understand the physics of a cooling tower. Part of the solution for the model I'm working with involves an integral: C = \int_{T_{low}}^{T_{high}} \frac{1}{\left(h' - h_a\right)} dT where h' is a slowly varying, monotonically increasing function with...

7. ### Developing equation to satisfy specific parameters (potentially partial derivatives?)

I'd like to start out by stating that I am an engineer, but would not consider myself a math expert. Which is why I am posting here; so I can pick the brains of those that eat and breathe this stuff (and are likely much smarter than me) :) I have a unique problem that I am trying to solve by...
9. ### Finding frequency of a specific mechanical oscillator -- horizontal rod on pivot

There is a cyllinder with radius 0.5 m fixed on the wall. We put a 6 metres long thin rod with mass 0.3 kg on it, which does not slip. I would like to calculate the oscillating time. It is a part of a clock, so the oscillating time is probably 1 or 2 seconds, but I got around 5 seconds. Please...
10. ### Probability to be born on a specific day

Problem: https://en.wikipedia.org/wiki/Birthday_attack I don't understand the two formulas (for getting 7.9% and for 70%). Could someone explain me, please?
11. ### Can anyone explain the specific steps involved

I know the problem itself involves calculus, but I'm confused about the algebra that is involved here. Can someone specifically explain (step by step) how they got from step 2 to step 3? Thank you in advance.
12. ### Specific multiples of p (p odd prime)

Hi, Do we know how to compute for some given n the number of multiples of an odd prime number p such that they are not divisible by a prime < p ? n=50 p=5 the multiples of 5 from 5 to 50 are 10, 15, 20, 25, 30, 35, 40, 45, 50 but only 25,35 are not divisible by 2 and 3 (2 and 3 are <5) If we...
13. ### Specific Algebra Problem

Hey forum, I have a problem with a specific math problem - I found the formulars on a wiki, link is here (Armour/math - Official Path of Exile Wiki) however I don't understand how to calculate what is called D_net since I don't have D_raw or DR which just loops thereby giving me two unknown...
14. ### looking for specific book

Nyman, Bertil (1950), On the One-Dimensional Translation Group and Semi-Group in Certain Function Spaces, PhD Thesis, University of Uppsala: University of Uppsala, MR 0036444. prefer to buy a copy just can find it
15. ### Generate Time Series with specific ACF and multiple LAG

Hello Everyone, I will try to explain what am I doing here and I hope someone will understand. ACF - autocorrelation function I'm doing a research about non-parametric methods utility. How they fit and are useful in a different environment. I'm generating time series with different sizes...
16. ### Rewrite an expression in a specific form

I have an expression that looks as follows: n + (a*x+b)^c. Where 'a', 'b', 'n', and 'c' are constant numbers. The ranges of the parameters are: n = [0,0.2] a = [0.5,1.5] b = [-0.5,0.5] c = [0.5,1.5] x = [0,0.6] I would like rewrite this expression such that it will look as follows...
17. ### Find a specific number

Find the smallest number n with the following property: If n is divided by 3, the quotient is the number obtained by moving the last digit (ones digit) of n to become the first. All of the remaining digits are shifted one to the right. Thanks
18. ### Help with writing a specific polynomial function

Ok so I was looking through my book and I saw the problem. Write a polynomial function with zeros -2 and 1+i, that also fits f(-2)=4. The zeros should be -2 1+i and because 1+i is a complex number, another zero would be 1+i. How could f(-2)=4 when -2 is a zero??? Can anybody help me out with this?
19. ### Specific solutions in the null space of a complex matrix

Hello, I'm dealing here with the following problem: I have a complex matrix F, having size N \times M, with N<<M. I can easily compute a basis of the null space of F, i.e. the space of vectors x such that Fx=0_v, where 0_v denotes the N \times 1 column vector of all zeros. However, I'm...
20. ### Looking for an specific summation property

Hello folks, I'm looking for a summation property like below: If the property has more summations involved then better. The key point is that the sum of pi values over the summation iteration be equal to 1. Thanks in advance! :rolleyes: