Description:
Mathematical discussions and pursuits.
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Numbers in array and its exponents ( congruence operation )
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Hi all, The question is in the end. Introduction: ============= Another way to see congruences is to put the numbers in an array of width n. In the following example n is 5: col 1 2 3 4 5 -------------------------- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20... more »
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The accuracy of the Calculus
 
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In the abstract realm of polynomial functions there is exactitude. There is a zero point derivative. But in real world problems(physics) there is not complete exactness. To find a slope you hone in on a infinitely small part of the real world curve but you cannot make it infinitely small. That would require infinite calculations so you... more »
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There is no time dilation or physical length contraction.
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... We can discuss that later. Meanwhile, let's look at the point now being made: ... Regardless of how the Compton Effect works, the point is this: The Compton effect is an explanation of how a red shift could happen without any expansion of anything at all, thus without any big bing. ... The point is: If, as science believes, matter can be made from... more »
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Fixed odds bet
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Q: Find a Black-Scholes closed formula to price this fixed odds bet. I want to win N if over the next M days, the P has a high-low range (exceeding/not exceeding) Q points. For example: I get $50 if over the next 5 days the FTSE100 has a high-low range exceeding 2 points. For example, if the FTSE100 has a range of low=5,251.41 and high=5,253.94 over the next 5 days, I get $50 (because high – low = 2.53 > 2).... more »
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Do you believe in Physics ?
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Do you believe in Physics ? You don’t have to be so sure. Why ? === . How does Physics look now? ...The basis of the Physics consists of: 1. Abstract ‘ inertial movement’. 2. Abstract ‘ideal gas and ideal particles.’ 3. Abstract ‘absolute black body.’ 4. Abstract ‘entropy’ 5. Abstract SRT negative 4 - D space,... more »
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Analysis : Is there a name for this?
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Hi, Suppose f and g are functions having the same domains such that f is monotonic increasing/decreasing on a given interval iff g is monotonic increasing/decreasing on that same interval. Is there a name for such pairs of functions? (I ask this question since it arises in stat estimation theory with... more »
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Order theory question
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Hi! It's seems a simple problem and I could solve it myself, but I want to share it with sci.math. Let A is a poset and let Z is its subset (Z is also a poset with induced order). Let S is a subset of Z, let t in A. Let "inf^Z S" is defined (narrowing our problem we could assume that Z is a complete lattice, but I want to consider the more general case).... more »
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