Mathematics

Some people will draw a horizontal line through their Z's so they don't get confused with the number 2. Indeed, it is very easy for someone who is writing fast to write their Z's and their 2's identically. The only difference between the letter Z and the number 2 is that a 2 is supposed to have a loop at its top, wile a Z is supposed have a sharp zig-zag. So, when you're trying to write fast, some people - simply out of muscle memory - will draw a horizontal line through thier Z so it looks completely different form a two. But for some reason, Z is the only letter like that! There are plenty of other letters that can look like numbers, or even other letters, if…

Stupid question, would a constant composed of all the primes 23571113... be an irrational number? I've been thinking it would be, but wanted to double check.

Yes If we let 3^0 then; (3^0)^infinity=3^(0*infinity)=3^((1-1)*infinity))=3^(infinity-infinity)(3^infinity)/(3^infinity)=infinity/infinity) <br><br> which equals any positive number.

When solving for 0^0 the question remains what number when multiplyed by 0^1 equals 0. The answer is any number. Just as 1^0 is the number when multyplied by the base 1 equals 1^1, the answer is only 1.<br><br> Or more conscisely what does 0^(1-1)=0^0 equal. The answer is (0^1)/(0^1)=(0/0)=0^0 which is not 1. The teaching in schools all across the world that 0^0=1 is a conspiracy.

I've recently stumbled on some people claiming that some mathematical equations can produce random results. To me this seemed quite strange. Essentially, to my understanding mathematical equations are always by definition deterministic and this results in the possibility to make predictions in terms of science. Granted, my understanding often needs revising and I enjoy doing that upon encountering solid arguments. That means I am learning and my mind is evolving. It seems to me that if science is to use mathematics to approximate the behaviour of the Universe and if that modelling is successful, that in turn indicates that the Universe is entirely deterministic. …

Problem Description: Being a some constant, further assume that we are in a factor ring (basically all operations modulo some sumber p). Note, that the division below is a multiplication by the modular inverse. You always have to start with x=9. Consider the following recursive formula: Code: new_x = (x²-1)² / (4*x*(x²+a*x+1)) How often do you have to perform this operation to get a specific x (basically getting the new_x and feeding it back into the formula to get another new_x, and so on)? Note: You can start multiple such chains beginning at x=9, and add the resulting x values using the addition algorithm from http://en.wikipedia.org/wiki/Montgomery_curve (Montgomer…

So, I found something very simple, but I found it very interesting. Going on with my method of multiplying the function by its inverse and taking the modified derivative, here is what I found: Let's say you have a function f(x). [math]g(x) = f(x)f^{-1}(x)[/math] Where [math]f(x) = d_{i}x+d_{e}[/math], where d_i and d_e are constants. Now, apply the modified derivative to the function g(x). [math]g(x)' = \lim_{h\rightarrow 0}\frac{g(x+d_{i}h)-g(d_{e}x)}{h}[/math] Then, have the derivative and the original function equal to each other, except replace the derivative variable with y. [math]f(x) = g'(y)[/math] And, when simplified, the resul…

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

What is infinity times the imaginary unit, that is also the square root of negative 1, i?

Does anyone know?

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 | …

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…

problem solved

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 …

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)?

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 …

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.

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.

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.

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…

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

area of circle based on ray from equal pi * r^ 2 is 1 / 4 * pi * r ^ 2 , from 360 degrees divide by 4

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…

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

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