Mathematics
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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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When I see an equation like 6.67384 x 10^-11 (G constant), how exactly do i write out the 10^-11 part, would it be 0. (eleven 0s and a one? or ten 0s and 1) or am i wrong on both of them? Basically the ideal reply to this would realy just be what exactly the 10^-11 is written out as, because though I get the meaning, if I tried to solve something with an equation containing that kind of math language, I probably wouldn't be correct because I'm not 100% sure how to write it. This is my first post here, but I think you guys can expect to see me around the Physics board pretty often Thanks for any help in advance, Imad
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What is infinity times the imaginary unit, that is also the square root of negative 1, i?
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Does anyone know?
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As some of you already knew, to develop an L-system fractal you need some rules for angles and lengths. L-system also is well known for its application in plants. So i had a plant in the ground and measure the lengths(cm) of branches and their angles. For example i will post some of the data here. Lengths (cm): Beginning from the bottom and going upwards. 1st generation) 64 2nd generation) 31,8 | 20,1 3rd generation) 19,3 | 22,6 | 25 | 25,8 4th generation) 7,7|23,6 | 21,4|12,2 | …
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I am simply not intelligent enough to dissect any meaning from this claim. Can any sharper minds here illuminate this concept for me as to whether or not it is truly significant? If not, can you articulate for me why it is arbitrary? (which it seems to be). https://www.youtube.com/watch?list=PLTlGAyi6v1bYm8lBwg4W9jU4ahz16UX8i&v=Stw316T0nQg#t=174 Here's some commentary from the post I got this link from: "This is what number 9 looks like! Zero Point Singularity..The God Mind, Mathematician. Nine is both the singularity and the vacuum...ZERO POINT ENERGY. Nine models everything and nothing at the same time. Nine seems to Govern TIME and SPACE !!! It i…
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problem solved
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Any Positive Natural Number N can be written as a positive sum of the Powers of 2 ! N = 2a + 2b ..... with as many terms as require where a , b , c etc are all Natural positive Numbers from [ 0,1,2,3 .....] These powers a, b, etc in the sequence will be PRESENT or ABSENT in the Equation only once. No repetition is required. This is nothing but a Binary Number representing the powers of 2 which add up to be equal to N. Similarly any N can be written as N = an additions or subtractions of Powers of 3 OCCURRING only once. N = 3a ± 3b ± 3c etc again a,b,c etc needing to appear only once ! Any number higher than 3 will not be able to produce such …
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A point,a line and a circle are different but can be same.If the length of a line =0 it becomes a point.If the diameter of a circle=0 it also becomes a point.One can say:if the"length" of a point= infinity it becomes a line and if the "diameter" of a point=infinity it becomes a circle.What if any value for poin,line and circle is negative(less than zero)?
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Accidently made a figure in clay, attempting to cut the surface off a sphere in one large piece, that has one face, one edge and two vertices. Sort of neat. Like a solid Moibus strip. Looks a litte like a cone and then another cone, with the two tips the ends of the same edge. The edge being s shaped with the center of the edge and the two vertices making sort of a triangle, causing the shape to look a little tetrahedralish. Anyone know off hand what this figure is called? Could not find it with a quick couple searches. Seems it most probably has been made before and has a name, but I do not remember seeing it before. Regards, TAR Here are three pictures …
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Suppose there are 10 pieces of fitness equipment in a gym. One of them is slightly defective but usable and all the other 9 are fine. Suppose the gym has a large number of patrons, say 1,000 and only 10% of them are aware of the defective one therefore would avoid picking it unless it is the last available one. All other patrons would pick equipment randomly. Suppose there is no exchange after equipment is picked, and patrons arrive randomly, what is the likelihood that the defective equipment becomes the last one to be picked? It has economic ramification in the market place. We can easily expand it to stock market or a supermarket.
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Just a quickie, is all math logical? i.e if its not logical it just aint math 2+2=4 true math 2+4=6 false jibba jabba The "rules" to the logic that defines math are man made? i.e BODMAS is just a set of rules we made up to describe the order of any equation. Finally is math a product of logic? sort if inferred from q1 Regards.
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What are all the forms of factoring that I need to master? Where is greatest common denominator used as oppose to least common denominator? What is the difference between Greasiest common denominator as oppose to greatest common factor? I need to master this. I want to master this.
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Hi everyone Out of boredom, I asked myself the following question: For which [math]a[/math], [math]b[/math], [math]c[/math], [math]d[/math], [math]e[/math] and [math]f[/math] does the curve, described by the function [math]g(x)=a\cdot\log_b{\left(c\cdot x^d+e\right)}+f[/math] Only have one solution, so touches the curve described by the function [math]h(x)=x[/math] In [math](1,1)[/math]? Found something, and wanted to know if it was right. It's been a while since I 'performed' pure mathematics (over 4 months), so don't be too hard on me The derivative of that function in [math]x=1[/math] should be 1. [math]\frac{d}{dx}a\cdot\log_b{\lef…
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Hi, Does anybody know good math games like 2048? PS, these games should not be for children. Spent a hour on Google but all I found were either boring games or games for children. Regards, Nuur
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Analytic approaches to twin data using structural equation models. Rijsdijk & Sham, 2002 http://bib.oxfordjournals.org/content/3/2/119.long It's good that I found an authentic source, but I'm very confused. The 1st confusion arises from Falconer's formula. Why are the equations set equal to the square of h, c, or e? For example: [math]h^{2} = 2(r_{MZ} - r_{DZ})[/math] I understand that the difference between the covariance of the mono- and di- zygotes equals the heritability estimate x0.5. What I don't get is why h is squared. This seems to recur later in the paper: "the heritability is given by a2 / (a2+c2+e2)." The 2nd and 3rd con…
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Hello, I have a somewhat-working familiarity with set theory, and have recently been reading (naively) about category theory and type theory, each proposed as potential autonomous foundations for mathematics. To someone who has a better-than-vague understanding of the three, what is the discrepancy or motivation for one over the other? Why isn't first-order or higher order logic considered the "foundation"? When considering set theory as a foundation, can all discussion generally be deferred to ZFC; for category theory, can it be deferred to the category Set or topoi; for type theory, can it be to homotopy/univalent type theory? Thank you, Sato
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Thank you Lord! "WE" have solved the pattern of pi, of 3.14.... Thank you everybody, I always assumed everyone was me, and I was everyone, and that we are all part of a WHOLE!!!! WE ARE!! here's the math pi = 3.14159265359... (11)(9)(7)(5)(3)(2)=(1=0)= (4)(6)(8)(10)(12) ------------------------------------------------------------------------------------------- (13)(11)(9)(7)(5)(3)=(0=1)=(4)(1)(5)(9)(2) by the way Human = Hu/man = Whole/Man = (Wo)man/man = Ovary/sperm = HUMAN
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What is a prime number A number is greater than 1 is called a prime number, if it has only two factors, namely 1 and the number itself. Prime numbers up to 100 are:2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 Procedure to find out the prime number Suppose A is given number. Step 1: Find a whole number nearly greater than the square root of A. K > square root(A) Step 2: Test whether A is divisible by any prime number less than K. If yes A is not a prime number. If not, A is prime number. Example: Find out whether 337 is a prime number or not? Step 1: 19 > square root (337) Prime num…
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I am having difficulty with infinite series and sequences within calculus. I am not quite sure where the difficulty is stemming from. I understand the general idea but when it comes to knowing when to utilize the comparison test, divergence test, integral test, ect., I cannot seem to make things click. I am hoping for a user friendly explanation. If this is too vague, I am happy to clarify specifics.
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I guess this is more of a math question. I not sure becuase like in school they always made us put the dollars first and add dot and two 00 at the end. I never seen USD put like this. If 17.4024 USD is 13.000 Euro does that mean its equal to 17dollars? or am I doing this totally wrong? I was wondering if it meant 17000.00 but than why would they not just put the 0s in front. I got this off a converting website and this is what it did. I am like super confused... The reason I would be suprised if its in fact 17$ is becuase its a school.
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I have a couple of questions about chaos theory. I'll start with one. In chaos theory, as time passes from t=0, does a system become more chaotic, thus more difficult to predict?
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I was wondering if someone can explain this in simple terms Composite numbers congruent to +-1 mod 6. 25, 35, 49, 55, 65, 77, 85, 91, 95, 115, 119, 121, 125, 133, 143, 145, 155, 161, 169, 175, 185, 187, 203, 205, 209, 215, 217, 221, 235, 245, 247, 253, 259, 265, 275, 287. Doh,I get it now, after writing this down I was just trying to better understand these composite numbers(green) that came up on the prime line of this wave and why primes(yellow) other than 2/3 all fall on this line? Is it easier to work out these composite numbers than to work out primes? Is there a simple way to work these(composite numbers +-1mod 6) out. So in effect followi…
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Alright prove the following: Let [math]f(x) = a(x)b(x)[/math], where b(x) is the inverse of a(x) and a(x) is a linear function. Now, let us redefine the definition of derivatives: [math]f'(x) =lim_{h\rightarrow 0} \frac{f(x+d_{i}h) - f(d_{e}x)}{h}[/math] Where [math]d_{i}[/math] is equal to the coefficient of x while [math]d_{e}[/math] is a constant of the linear function. Prove(or disprove) that for all [math]d_{e} > 1[/math], the limit from both sides will not exist.
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