Recent content by Diffy
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Understanding the Formula for q in Rudin's Proof Question
I am reading this paragraph in little Rudin, right at the beginning. Let A be the set of all positive rationals, p such that p2 < 2 and let B consist of all rationals p such that p2 > 2. We shall now show that A contains no largest number, and B... To do this we associate with each rational p...- Diffy
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- Proof
- Replies: 1
- Forum: General Math
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Optimizing Response Rates: Statistical Analysis for Small Population Sizes
Thanks, that helped. Do you happen to know the formulas behind the calculations?- Diffy
- Post #8
- Forum: General Math
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Optimizing Response Rates: Statistical Analysis for Small Population Sizes
Really struggling with this. Is anyone around?- Diffy
- Post #6
- Forum: General Math
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Optimizing Response Rates: Statistical Analysis for Small Population Sizes
Right I understand how to compare them. What I don't understand is that say I want to set up a test. I know that in 100,000 tries I get 70 successes. I wouldn't test just trying 10 times. I would need some type of significant population to test against. I can I find out how many I need...- Diffy
- Post #5
- Forum: General Math
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Optimizing Response Rates: Statistical Analysis for Small Population Sizes
The basic issue is that we have a large population with a very low response rate. And we want to test a very small population to see if the rate will be higher, or will be worse. I don't think the results of the low population test will be significant be because we are comparing it to a very...- Diffy
- Post #3
- Forum: General Math
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Optimizing Response Rates: Statistical Analysis for Small Population Sizes
Sorry I need help in a hurry. This is for work and I haven't done this in a long time. I have a population of ~ 5,338,000 And I know 0.74% respond to something. I want to know if a population of only 5,000 will respond better or worse than my 5 million. I am worried that it is too...- Diffy
- Thread
- population Stats
- Replies: 7
- Forum: General Math
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Infinite variables over infinite time
He is right, and I tried to say the same thing in laymen's terms because the OP admittedly "can't read a formula beyond arithmetic"- Diffy
- Post #11
- Forum: General Math
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Infinite variables over infinite time
So there is a problem with how you state your question. And there is a problem with your math. Let's start with your math and that will lead into how you state your question. The probability or rolling a 1 in 2 rolls is not 1/2. it is 1 - (5/6)^2 = 0.30556 You see there is a sequence. The...- Diffy
- Post #9
- Forum: General Math
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Does Euler's Proof of Pi's Irrationality Meet Modern Rigor Standards?
AD yes, BC no.- Diffy
- Post #3
- Forum: General Math
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Understanding the Ordering of Complex Numbers: Why is it Difficult to Define?
This was a typo. I editted my original. Thanks! Thanks for more explanation. Ahhhh this makes a lot of sense in combination to what Mike said. Thanks!- Diffy
- Post #12
- Forum: General Math
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Understanding the Ordering of Complex Numbers: Why is it Difficult to Define?
Can you, or someone else explain why this is so? I'll attempted to define an order, and hopefully someone will tell me why it is bad. Consider all circles in the complex plane centered at the origin union the origin itself. Call the origin 0. We define the mapping R for any z = a+bi to be 0...- Diffy
- Post #9
- Forum: General Math
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What are some real world applications of quadratics?
Don't do this.- Diffy
- Post #5
- Forum: General Math
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What's the formula for finding the shortest distance between two points in 3D?
Hi Patrick, Good job on figuring this out for yourself. A lot of the mathematicians here will tell you that trying to figure things like this out on your own is a great way to learn. I encourage you to keep at it.- Diffy
- Post #7
- Forum: General Math
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Can you draw a cubic function with one real root without using calculus?
I don't understand the question? Why would you need calculus to draw something? Can't you just plug in x's and make a table of points? Can you elaborate on what you mean?- Diffy
- Post #2
- Forum: General Math
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A naive question about irrational numbers
las6ki, Take the length of a rod. By rod, I take it you mean some type of long cylinder. In math we take things to be perfect, because it makes thing nice. So in a math world, the cylinder has a length, because the circle on the top and bottom of the cylinder are perfectly flat, and the...- Diffy
- Post #33
- Forum: General Math