Mathematics

Doing a project in excel to make a little form to plug in linear speeds and have it spit out some data on the speeds estimated by SR and all that... And working with cells instead of normal variables made me entirely forget the formula... What part did I miss here: (V+u)/(1+(vu)/c^2) ... What part did I screw up?

I discovered this equation with a proof through mathematical trial and error. Here's the equation pi=e^(2*(((ln(pi))^2+2*ln(pi)+1)/(2*ln(pi)+2))-1) Using ttmath's online calculator with 1024 bit mantissa the equation gave me the exact same value for pi as the constant value provided for pi by the calculator. When using the calculator with a 2048 bit mantissa the 2 values of pi were different, the last least significant digit there was a difference in 1 between the the 2 digits. If someone has access to a calculator that can calculate too more precision I am curious to find out if the discrepancy is due to calculating error or either the current value…

I know nothing about curved geometry but maybe I don't have to, after all. I want to evenly distribute an arbitrary number of points on a hemisphere. I visualized for example 1000 vectors starting from the same origin, on one side of a plane containing the origin. If they are normalized they'll resemble a hemisphere. Being evenly spaced means the 'tips" make for corners of equilateral triangles. I guess there are at least 2 possibilities: on the top of the "dome" there's a point OR the center of a triangle. Basically I want to find the vectors. Can it be explained with matrices at most? Quaternions are a little too hard for me and be it only if there's no other choice.…

I have no proof for it but just wondering if this equation is new? (-1)^(1/x) = i*sin(pi/x) + cos(pi/x) where x>=4 I've tested this equation and Google calculator gives the correct answer for every example.

Stop saying "maths." ... It's "math." I don't go to englands and discuss footballs while drinking teas. Because unnecessary pluralization is wrong. ... Only time it can be acceptable is if you're discussing different kinds of math... Entirely different systems of math.... Then it's optionally Ok. Like "peoples" ... But stop asking "a maths question." And don't make horrible excuses about a silly way to abbreviate "mathamatics."

Im curious to know the relation between sin and cos on a ratio basis. Sin(45) and tan(45) both give approx 0.7071, how do they relate in ratio terms of incremental degree's? The gap decreases? im guessing its something to do with working from 90 as base and then scaling it to 0.1/0.2/0.3 etc as used on a polarized circle graph. The linear ratio would be 1 / 90 * theta; sqrt(2) / 90 * theta gives "close" result upto Sin(45) so the reverse could be used for tan. Is this the right track?

Hi there, So we know that some number [math]b^n[/math] is [math]b[/math] multiplied by itself [math]n[/math] times. What about roots? The logic would imply that we take [math]b^\frac{1}{n}[/math] as being [math]b[/math] multiplied by itself [math]\frac{1}{n}[/math] times. I'm a little vague on the underlying mechanisms of taking roots and fractional exponents. I am aware that fractional exponents and roots are computed using logarithms but how? As an example: [math]10^\frac{5}{2} = 10^{2 + \frac{1}{2}} = 10^2 10^\frac{1}{2} \approx 100(3.162) \approx 316.2[/math] I can see that breaking the exponent apart gives a sum of a whole power [math]2[/math] and a square …

Why is it not possible to have the log of a negative number? Examples would be greatly appreciated. Furthermore, is it the base that cannot be negative? Like log-bx or is it that when you have a number and you log it, the number cannot be negative. log(-x)

Oh my god I don't believe I am asking this>>> Rather how do you add a number and another number that has an exponent? That sounds more clearer. YES! I am scratchy on this, or just need to make sure... So we have, example here: 9.98857^34 + 4.777... 4.777 has no exponent. But should I take a log scale and see what the exponent for 4.777 ?? Such like this: 4.777^ 0.67915524128 here is the link I used for this: Logarithm of 4.777 Base 10 http://www.1728.org/logrithm.htm In all, I think I will always be confused on this, it just does no make any sense whatsoever.

Hi! According to this site http://www.intmath.com/applications-integration/11-arc-length-curve.php the arc length of the curve y = f(x) from x=a to x=b is given by: length_ab = Derivative_ab( Sqrt ( 1 + (dy/dx) ^ 2 ) dx) So, we got a sine wave function which is y = A * sin (F * x + P) from x=a to x=b the length of this is length_sine = Derivative_ab( Sqrt ( 1 + (A * F * cos (F * x)^2 dx) Example of this is in first link or here: http://www.wolframalpha.com/input/?i=tell+me+the+arc+length+of+y+%3D+1.35*sin%280.589x%29+from+x+%3D+0+to+10.67 Now, my question is what is the algorithm to compute length for specified x=a to x=b. For example, l…

The Next Operator Beyond Exponents: I was looking into operations greater than exponents when I discovered a few properties of nested exponentiation. I'm not claiming that I am the first to discover these properties. I am well aware of work that has been done on tetration and the Ackermann function. However, I have not found these properties of nested exponentiation anywhere. Also, according to Wikipedia, nested exponentation is not even listed as a hyperoperation: Another clue is that my version of Mathematica does not have any of these properties listed as operators and does not know how to simplify equations using the new operations I have derived. I fully un…

Can someone explain to me mathematically, in terms of Axis, and or in word form what the 5Th dimension is? Please don't say its spiritual unless you are somehow speaking on biocentrism >.>

Hi, i have a very simple question (easy to state, i meant...) -Can someone explain, in the simplest possible way, why the complex numbers were chosen as a basis for the infinite series of the Zeta function? (in other words: why did Riemann build up his hypothesis of his Zeta function's non-trivial zero rational parts, in the idea of numbers which are partly imaginary too, ie x+iy)? I ask because, ideally, i would not want to spend huge amounts of time making a connection which probably is quite simple in regards to examining the hypothesis itself. I can suspect that Riemann formed the hypothesis as a (particular type of) series based on complex numbers due to the abili…

imagine a 3D flat space, embedded in a 4D flat space imagine a 3D object, in the 3D "hyper-3-plane" space imagine a linear vector through the 4D flat space, from the center of the 3D object in the 3D "hyper-plane"… hyper-dimensionally "out", to higher hyper-dimensional altitude, in the 4D space i.e. the center of the 3D object = (0,0,0 | 0) and the 4D linear vector = (0,0,0 | 1) with its "tail" at the center of the object (0,0,0 | 0) Now, please ponder spinning the 3D object, about the 4D linear vector, threading through its center, "out" to higher hyper altitude in analogy, a 2D object, in a 2D flat-land, rotating about a 3…

Let us say there is a formula [math]ax+b[/math], and a sequence of numbers is laid out. Let us say the formula is [math]3x+1[/math]. 4 7 10 13 16 19 22 25 28 Now, let us put these numbers into sets of 3 in order. {4 7 10} {13 16 19} {22 25 28} Then, add up the numbers in each set to get the following sequence. 21 48 75 The pattern can be describe as each number within the sequence of sets can be found with the following, where s is the size of each set. where c is some number related to the formula. Has this been looked into before? If so, can someone link the webpage about it?

Problem is to compute the ECDLP given: A finite integer field (Zp,+,*) as p ranges over primes y2=x3-5x+4 where P=(-1.65, 2.79) and Q=(-0.35, 2.39) I don't necessarily want the answer, i want to know where to start and how to get to it ...

Hi everybody. I want to find suitable range for four parameters: x(1), x(2), x(3) and x(4); in a way that: 326.705<x(1)*x(2)*(1+x(4))^2*(1-x(4))*x(3)^3<378.29 What should i do? Is there any way to find the answer by MATLAB?

I couldn't resist making this post because I [math]r=\frac{\text{sin}\,\theta\sqrt{\left | \text{cos}\,\theta \right |}}{\text{sin}\,\theta + 7/5} - 2\left(\text{sin}\,\theta - 1 \right)\,\,\,\,\{\theta\in\mathbb{R}\,| \,0\le\theta\le 2\pi\}[/math] math more than any other subject

In Lemma XIII of the Principia, Newton says "The latus rectum of a parabola belonging to any vertex is quadruple the distance of that vertex from the focus of the figure. And this is demonstrated by the writers on the conic sections". Well, Apollonius does not state this proposition. And I can't find any 'writer' who does. Hence, can anyone help ? Thanks.

I know this a topic which has been discussed to infinity, but I have a problem with this theory and would like other peoples' opinion on it. The 'proof' states that: x = 0.9999 10x = 9.9999 9x = 9 x = 1 I believe the problem lies in the second line already. Is it possible to do an arithmetic operation on a number with an infinitely repeating fraction? Let's take a finite number. x = 0.9999, then 10x = 9.9990. We have to know there are 4 digits after the decimal point, so each one moves one to the left, and the fourth digit after the decimal is replaced by a 0. I suppose the argument is with regard to the theoritical interpretation, but in practice i…

I've always been drawn to impossibilities, which is why I so enjoy the concept of I as the square root of -1... But I just thought to question what sqrt(I) is. Now, I've always loved math, but I never had the patience for the tedious homework necessary to make it into higher math classes... But when I searched for the answer, I was dissatisfied. According to the internets sqrt(I) is sqrt+/-(1/2). My problem is the insinuation that I=+/-(1/2). No? The thing about 1 is that if x>1, x^2>x. And if x<1, x^2<x. So "I" must be right on this magic Li'l circle where x^2=x, who h can only be 1.... If on some wonky imaginary number line. I could see if…

What happens when an undefined variable is .34 or larger?

could one please let me know how we write the equation of a conic passing thru two conics? for egs., the equation of a circle 'S' passing thru the points of intersetion of two circles S1 & S2 is 'S= S1+$S2' can we use this even for parabola and other conics? if no, then what is the general form of the above equation? please let me know the meaning of all the unfamiliar signs you use. and also the concept behind it. please help me.. thanks in advance.

1) Why are there so many notations for vectors and related operations? v, [math]\vec{v}[/math], [math]v^j[/math], [math]v_j[/math], [math]|v\rangle[/math], etc. I understand that there are conventions endemic to certain fields of math/physics, but is there any practicality to get out if it? 2) As for mathematical notation in general, do you think it would be practical to establish a universal set of notation that could be used across all fields of mathematics and science?

Many of us read the recent Guardian articles by Marcus du Sautoy and Alok Jha that described a potential new 14D geometric theory of everything. Unlike most such theories, Geometric Unity has a unique experimental prediction that can verify it or rule it out. CERN is capable of making this measurement with existing equipment. The mathematics and physics communities have been unable to judge the claims directly since they are looking for papers by Weinstein, and there are none. In fact, the theory was developed by another author and Weinstein's contribution has been to popularize the ideas. If you are interested in the truth, I highly recommend reading the following links.…