Mathematics
From algebra to calculus, from trigonometry to set theory, it's all here.
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From basic sequences, series and calculus, to measure theory, complex analysis and more advanced topics.
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Set theory, groups and ring theory, linear algebra, and other algebra-related topics.
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Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.
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Ground-up mathematical tutorials.
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2392 topics in this forum
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How come if I make a square 1 metre big and put an object that takes up 2% of the square it would still fit in the square whether it was spread out then made into just length or width but if I put an object that took 99.9% of the square then made it into just length or width it would defeat the square It's like mystic in percentage or something Don't know?
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Reputation Points
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Want I to be! Can you tell me where should I start in order? I have normal knowledge of basic maths, I want to be a Math Genius, I am! Where should I start? Tell me? Tell me? Thanks of the help very much, appreciating this help of you're.
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Reputation Points
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. Is this possible? Or is it photoshopped?
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Mathematics as we know is limited, there are mistakes. The first error of mathematics: length (area, volume) consists of the points. Look at the evidence which shows that the length includes the length, size of area,volume by volume. Then you wonder what is the point. (larger image) I am a mathematician, inventor. My basis for an axiom (definition point, along a natural). Everything else is proved in the space, get to know my math, expand their knowledge. MS.0. The basic axiom. Definition point. Natural along. Beginning (end) is longer than the natural point. Natural along with two points, the lengthbetween points. (small image) To understand my math read …
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Reputation Points
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I saw meteorite men and thought about where abouts meteorites fall. Then i decided to figure out how often they fall near me. I just want to know if the math is right? Please correct what is wrong. It is all based on 2 numbers, Earths total square miles and total meteorites per year which are both rounded, so it's not perfect. If you can help i'd appreciate it. P.S. .0005 came from 58,000,000 devided by 29,000. Thanks again The attachment has the chart. Also the 61 years thing i know is wrong, forgot to delete that. meteotie chart.pdf
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Reputation Points
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Hello, I've been reading a bit about Gödel's Incompleteness Theorem. On this video ( ) of a talk at Google, the speaker mentions that there are true statements that cannot be proven. My question is: how can a statement be true and not be proven, in other words, how can we be absolutely certain that it is true if we cannot prove it? Hope this is clear. Thank you, David
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I have this problem with solving 4th order tensors. I've spent 5 hours trying to solve the damn question in the library but no luck. Is the problem solvable? please help I'm not smart enough for this kind of question The attached file is the problem... Please help a poor guy out:(
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Reputation Points
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does anybody know about the job market of biostatistics graduates with PhD degree? thanks!
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I was trying to figure out how to solve a decibel problem. I have been out of school for a very long time and my math is very rusty. Here is an example of the problem: If an amplifier turns a 5watt signal into a 25watt signal thats a gain of ? The equation is: 10xlog10(25/5)=10xlog10(5)=10x0.7=7db now my question. I can easily solve this problem using the log function of my calculator but solving it without a calculator has evaded me. I find that log10=1 but then were did the 0.7 come from. I have attempted to look up the mantissa but I either cannot find the right one in the chart or I am looking for the wrong thing. Can someone show me how to determine the ans…
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Can anyone assist in this differential equation : Ldi/dt + Ri = Usin(wt). Thanks a lot in advance
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1. If x^2-px-q=o, where p and q are positive integers, which of the following could not equal x^3? A. 4x+3 B. 8x+5 C. 8x+7 D. 10x+3 E. 26x+5 2. X is a positive integer in which each digit is 1; that is, X is of the form 111...111. Given that every digit of the integer pX^2+qX+r (where p, q and r are fixed integer coefficients and p > 0) is also 1, irrespective of the number of digits X, which of the following is a possible value of q? A. -2 B. -1 C. 0 D. 1 E. 2 Just give me some hints, then I can work them out. Thank you very much!
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I'm trying to refresh all of the mathematics I learned. I graduated with an engineering degree. What are the best college level textbooks for calculus? Also, I'd like to get a better handle on trig, algebra, geometry, ie., all the easy stuff. I remember a lot of the easy stuff, but I'd like to learn all the proofs so I can have a full understanding of it all, so I can know it like the back of my hand. My eventual goal is to go back to school to become a professional astronomer.
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Can anyone suggest a good book on Complex Analysis? I need a book that would be good for self studying.
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For moving about on a sphere in a "straight" line in a given direction. final_latitude = latitude + (sin(angle) * distance) final_longitude = longitude + (cos(angle) * distance) Except it only works well in the tropics, neer the equator. The closer to the poles you go the more inaccurate it becomes tending to be attracted towards them, does anyone know how to correct it?
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A few years ago, I had a math class, which I needed a TI-83 calculator, for. I don't have the class, anymore, but I bought the calculator, myself, so I still have it. However, of all the nifty features that the TI-83 has over traditional "pocket" calculators, it seems to lack a memory function! Pocket calculators allowed you to save a number to memory. You could also add and subtract from that memory. If you wanted to multiply the memory by something, there was a way to do that. This allowed you to use a commonly-recurring, but large number, without having to tediously punch in that same number over and over again. How do I do that, on a TI-83?
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Reputation Points
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Now... When i first heard about this I thought it was a joke but i've seen references to it in several places now. Is it real and can anyone explain what it is intended to do? ( if it does indeed exist?) http://en.wikipedia.org/wiki/Cox-Zucker_machine http://en.wikipedia.org/wiki?title=Talk:Cox-Zucker_machine http://improbable.com/2008/08/12/the-cox-zucker-machine/
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Reputation Points
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Ok so to start out, I was given a puzzle to solve under the conditions that i could not solve it by using a scientific calculator. So hitting Sin(x) is not an option. I was started out with a circle as a base. The circle has a Diameter of 6.5 meters and an idea of putting 80 points along the edge of the circle with the same distance between each of them. I need to find the distance that is between these points, Not the arch curve but the straight line between them. best way i thought of how to do that was to make a triangle, using the radius for 2 of the sides and finding the link the third and final side through law of sines and law of cosines. Side a=3.25 S…
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I've heard of this mathematical theorem but could someone explain it to me, in very, very short words and simple sentences?
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how can i calculate the surface aria of a parabolic mirror
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104 x 104 +4 = 108 4x4 = 16 104 x 104 = 10816 109 x 109 +9 = 118 9x9 = 81 109 x 109 = 11881 A little trick I use.
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Is this really possible? I doubt I can explain much about what I am interested in to the first man whom I see on the street. Maybe that is a reflection on me rather than the subject matter. Any thoughts on this?
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Reputation Points
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Here is a question I have always wondered how the answer is correct, because I can't manage to make it seem right. A chap at the fair is tring to find a prize that is hidden in one of three caskets. He chooses a casket, whereupon the man running the stall opens one of the other cases, which is empty. He then asks the chap if he wants to stick with the casket he chose originally, or switch to the remaining one. which casket will give the chap the greatest odds of winning? The answer in the back of the books states that if he switches, his chances of winning are doubled. so the chap should take the remaining casket. This always seems quite odd to me. It s…
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Reputation Points
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I've seen it played numerous times in the Clock Game. The goal is when you are faced with a ton of possibilities, and you try to eliminate as many possibilities as you can, so that you are left with only one possible answer. This can make the Clock Game easy to win, even if you have no earthly idea what the price of the item is. "five hundred" "Higher." "seven fifty" "Higher" "Nine hundred" "Lower" "Eight hundred" "Higher" "Eight fifty" "Higher" "Eight eighty" "Higher" "Eight ninety" "Higher" "91, 92, 93, 94, 95, 96, 97, 98, 99-" "THAT'S IT!" The fridge is worth $899. The Clock Game is the most common example, but not the only one, where this …
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Reputation Points
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While using several operators(e.g.grad,div,curl) we often separate them and treat them as vectors in their own right,performing most algebraic and vector operation on them.How is this possible? are not operators and their operands inexorably linked together.In order to separate them we would need to define a whole set of specialized rules just to use them. This is not an isolated example several times while solving differential equations we replace the differential operator with a variable ,say 's'(and hence this technique in some areas gets its name as the s-operator method) (ref:http://en.wikibooks.org/wiki/Circuit_Theory/Second-Order_Solution)and proceed to manipulat…
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The title speaks for itself. I guess the question should be narrowed down to irrational numbers, since the rest are all rationals. I'm leaning towards no, although that's just intuition speaking. Note that I'm not asking if we can find a closed form expression for a given number; just if it always exists.
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