Mathematics

Why are numbers between 0 and 1 fractions? And what base uses this "rule"? Base 10??? As in % ??? Hopefully this question doesn't receive "scrutiny" It's ok if nobody doesn't know the answer..lol

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 have this few doubts about taking an initial guess ... i am not sure how to do that when it comes to certain equations for solving them with numerical methods ...i dont know how to do that you are supposed to take an initial guess when it comes to certain equations ... is it about re arranging equations to fit certain formulas ... ??? do i have to take an initial guess of something in the equations when methods like these are involved ... ??? few simple examples .. might look like this ... that is fixed point iteration on a quadratic equation ... they start by re arranging equations to apply the fixed point iteration ... what is the initial gue…

How would one measure the length of a spiral? I tried figuring it out with nothing but a piece of paper and a pencil, but could figure nothing. I have a feeling it might have something to do with log, cos, sin, and/or tan. Thank's in advance for your help, and I'm sorry if I sound stupid.

Hey all. I am trying to figure something out that I can't. Basically, for some reason I wanted to find the inverse of y = x7+x5. How the heck would you do that. I know it is probably possible, but how?

Hi, another question for you fine folks. Just getting into the use of sigma and that thing is super handy. And I know if I wanted to solve for say 1 through 10 I can just use i(i+1)/2. But what if the index number is greater than one? The equation doesn't work anymore. Is there a modification or different equasion to use? Thanks

I have an almost perfect theory but...... Which is which; 0^0 = 0 or 0^0 = 1 or 0^0 = ∞ factor in your answer/idea with a proof if any.

Can anyone explain in one paragraph or equation how the Riemann hypothesis implies a pattern in Prime numbers? The hypothesis an easy enough to follow the problem, but the pattern in Primes is not clear to me. I’m sure a Google search may be helpful, but I wanted to work it through on my own. I find it helpful to take one small part if the problem and see what it does. Take the book Practical Cryptography. It explains all the ciphers. They are all open source. Doesn’t mean you can solve them but it lets you see the inner workings. That is what I need an explanation of the patterns in Primes in the Riemann hypothesis. I hope you understand why I just don’t g…

I am a latecomer to this problem having watched the program about FLT and Andrew Wiles and I am no mathematician so I am looking for a bit of help understanding this. I have googled and read but most of the stuff is completely impenetrable for a layman. The thing that confuses me most is that the theorem seems fairly easy to 'prove' in descriptive visualisation terms so why is it so difficult to prove mathematically. How I visualise it is as follows: The basic premise is: an + bn = cn cannot be true where n is greater than 2. My starting point is to visualise pythagorean triples where a2 + b2 = c2 is true. In this case I can describe three squares of which square …

I often read in books of the radius of a circle being expressed in units of degrees. What does this mean? I'm used to writing and measuring the radii of circles in units of length but not angular units. For example what does a circle of radius 22deg mean and how would you determine the radius of a circle in degrees? Thanks G56

Can somebody please explain to me why zero violates common sense? Every other number including infinity, divided by itself equals one, so why doesn't the same apply to zero as well? After all, since there are numbers which are less than zero, zero itself is logically a number too, and zero does go into itself once. It just seems totally counter-intuitive that 0/0 doesn't equal one. And while we're talking about counter-intuitive math, can someone also explain why a negative times a negative equals a positive, even though a positive times a positive doesn't equal a negative. Please don't use fancy terms that none but a math major could understand.

There is a website named tauday.com and it was mad by a guy who thinks τ should be the circle constant. I agree with him, but what do you guys think?

To me, axiom-systems seem to basically be ownships (properties). For instance, the group-axiom-system is basically the ownship of being an ordered pair \((G, *)\) such that \(G\) is a set and \(*\) is a function from \(G\times G\) to \(G\) such that \(*\) is associative and has an identity element and each member of \(G\) has an inverse element with regard to \(*\). Just as the axiom-system itself is an ownship, so are what are called “propositions in the language/speech of the system” actually properties. For instance, when we say: “The proposition that the sum of the inner angles of a triangle is always 180° follows from the Euclidean axioms“, we actually mean tha…

I have this diff. equation: [math]\frac{dP}{dt}=\frac{Patm}{Volume}\sqrt{\frac{(Pin^2-P^2)}{Kv})}[/math] with Patm, Volume, Kv = constant; P = Tank Outlet Pressure; Pin = Tank Inlet Pressure I would like to have a laplace function of this so I can use it easily in simulink, this way I can put many air tanks behind each other. Isn't there a way to go to a laplace form, skipping the diff. equation problem. Matlab solved the diff. equation in a way I don't like: simplify(dsolve('DP = Patm/Volume*sqrt((Pin^2-P^2)/Kv)','P(0) = Pstart','t')) like this: F=[sin((Patm*t-atan(1/(Pstart^2-Pin^2)*(-Pstart^2+Pin^2)^(1/2)*Pstart)*Kv^(1/2)*Volum................. Matlab g…

This is a good collection of links to audio/video courses and lectures on mathematics from colleges/universities. http://www.infocobuild.com/education/audio-video-courses/mathematics/mathematics.html This contains many courses and lectures on math: linear algebra, calculus, differential equations, statistics, probability, and more.

I also posted the following in the sci.math newsgroup but got no responses that actually were interested in the main point of the "discovery" i thought i made. would be happy if somewhere here could find the time to actually fill in the sieve of numbers as i am illustrating below: Sieve of Vic? I think i have discovered a more beautifull way to find the prime numbers by using a Sieve. But i might be mistaken and have rediscovered the wheel. My prime finding sieve method shows the iterative nature of the primes very well and is therefore intriguing. In short each primes causes an infinite number of other numbers to be composite-numbers, but the composite numb…

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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…

5 * 17 = 85 Prime Number + Prime Number = Product = N (in RSA) y = ((85/x) * 85 - x^2)/ x = ((85^2/x) + x^2)/ 85 p = ((85/x) * 85 - x^2)/ x * ( 85^2/((85^2/x) + x^2)) - 85; sol = NSolve[p0, x] {{x®-86.893},{x®-7.50438+19.0222 ä},{x®-7.50438-19.0222 ä },{x®16.9017}}

While trying to learn about rotation matrices I came across this: Quaternion Tutorial If you go to page 15, you will see this: Definition of a Quaternion A quaternion is the geometrical quotient of two vectors. Let A denote a vector, and let B denote a vector. Q = quaternion = A/B Tom Mattson said that vector division isn't defined. Apparently it is.

A sphere of radius 8 cm is circumscribed by a right circular cone. If the cone is to have a max volume, find the height of the cone and the radius of the base of teh cone... I need to relate the radius of the sphere to either the radius of the base or height of the cone, i can't find anything, any ideas people? Vol of Sphere = 4/3 TTr^3 Vol of Cone = 1/3 .TT.r^2.h

I`m sure all the maths guys know of this "rule" a simple question though, what does the `O` stand for in it?

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…

pi is probably the strangest number on the planet. On one hand, Pi is defined as a ratio... that of the Circumference of a circle to its diameter. However, as far as I know, it is a nonrepeating infinite decimal, therefore making it an irrational number, correct? So how is it that you can take a ratio, and get an irrational number out of it?