Mathematics

Ho! Is it possible to define function by-table, for example f(2)=3, f(5)=4? It is clear for separate values, i.e. lambda 2.3 and lambda 5.4, right? But how to combine these? Thanks.

hi...i have a question.... if R is a set of real numbers, and Q is a set of Rational numbers, then R-Q=?

My usual average in my math classes is 95-97. I take a test like the psat or a state assessment test and I do HORRIBLE on my math section. I score lower than people who get 80's in their math classes. This makes absolutely no sense to me and I am completely frustrated. Is anyone else on here like me? Anyone have any insight as to why I score so low? By the way I do perfectly fine on other sections of the tests. I usually score in the top 95 percentile. Comments appreciated, thanks

I wanted to ask if anyone knows about a software or powerful online calculator that is able to perform calculations with a solution (a real number in this case) in the range of 300-400 digits. I’m currently working on a problem that involves primes and need such a calculator to test few results. I need the exact solutions to some calculations and not an estimate to the solution such as X^99 or an approximation of Pi or e. I hope someone can help. Thanks

hi.. i got a problem from a book and i cant answer it.. he asked me to find a recurrence relation for the number of bit string of length n that contain 4 consecutive 0s... and the second question is for the number of ways to climb n stairs and the person climbing the stairs can take one or two stairs at a time... can you help me? please explain to me... thank you very much...

Actually my problem is to find my proof that there are an infinite number of solutions to the Diophantine equation 5a^2 + 5ab + b^2 = p^n where a,b are coprime and p is a prime ending in 1 or 9. There is a relationship between any three consecutive term of a Fibonacci type series and the form 5a^2 + 5ab + b^2 that is invariant with the index number of the first term. That is a key to my proof. I leave the proof for you to figure out, but will make suggestions if you reach a dead end and have no idea where to turn. First off then, how does the form 5a^2 + 5ab + b^2 relate to three terms of a Fibonacci type series in an invariant manner? (By Fibonacci type, I mean F(n…

Hi All, I am given a task to generate a linear as well as a nonlinear dynamic model of a process. All that I am given is a differential equation. Now Situation is that, I dont know the procedure and/or steps to generate thus models. Can anyone help me please ? Thanks

This code was given to me, and I think I may have some of it, but I'm not entirely sure. Can any of you help me to figure this out?

anyone know of a mathematics forum where people actually post on a regular basis? this place is dead. -alex

How would u simplify i^2n+3?????

...according to a lecturer who's university I was at an open day of, he said that the future is in discrete maths. Do you guys think so?

Would anyone know what kind of problems are on the first actuarial exam? i've been told it's pretty broad. what types of financial mathematics are involved?

These two have caught me out. One because its a multiplication of absolute values and the other because its a a graph, but... Numbers: 3D and 4 Any help would be very much appreciated, thank you.

I was playing around with my calculator during class the other day. (Yes, I still don't pay attention in class.) In doing so, I discovered something. [math]n^2=1+2+3+...+(n-1)+n+(n-1)+...+3+2+1[/math] Is there a name for this?

How do you do word problems involving "work" in them. Please, any help is appreciated.

im bored.. any1 have a challengingish math problem that a highschool student might be able to solve... my math class although honors is quite sad.. the class considers the simplest of problems complicated... well anyways as i said im bored and feel like a challenge

i have an assignment question where i'm supposed to prove that the square of an odd number is an odd number using both a direct proof and an indirect proof. the direct proof was easy enough, but i'm kinda stuck on the indirect part. so basically i'm supposed to prove that "if n^2 is even then n is even." so i started by stating that . n^2 = 2k n * n = 2k n = 2 (k/n) and i'm saying that (k/n) is always an integer but something doesnt seem right about this, especially since i'm not really sure how to justify that (k/n) is an integer. can someone put me on the right path? thank you

If the stage of a koch curve is at 0 and it has a length of 1, and a curve at a stage of 1 having a length of 1/3what would be the lengths of the curve at stages 2,3,and 4?

Johannes Kepler was the greatest mathematician ever. I found some quotes of his recently. http://www-groups.dcs.st-and.ac.uk/~history/Quotations/Kepler.html From a 1605 letter My aim is to say that the machinery of the heavens is not like a divine animal but like a clock (and anyone who believes a clock has a soul gives the work the honour due to its maker) and that in it almost all the variety of motions is from one very simple magnetic force acting on bodies, as in the clock all motions are from a very simple weight. Letter to J. G. Herwart von Hohenburg, 16 February 1605, KGW 15, 146. From the introduction, written in 1618, to Book V of The Harmony…

Hello, I'm a junior in Highschool, currently taking Algebra II. The reason I'm making this topic, is due to the many problem's i often find myself facing, when trying to work out problem's. Previous to this class, I've taken two classes of basic Algebra and one course in basic geometry, and to this day, comprehend very little of it. At this point in time in the class, we are reviewing the algebra 1 material, and i am at a big loss. We had a practice test today, covering the materials so far, and out of 25, i missed at most 12. For the most part, the way to solve the problem's is what trip's me up, and i often spend loads's of time picking number's from my head, …

It is seemed that I found the simple proof of FLT in the binary system. Here it they be: Numbers D = (a+b)^n-(c-b)^n-(c-a)^n and E = a^n+b^n-c^n + D (or -D) have DIFFERENT parities. The parity of number D is a dual parity even number (from a, b, c). But the parity of number E has another value (with specific grouping of the members of sum). Detailed calculations will be published in proportion to their readiness.

The sentence, "May I draw a round perimeter?" is a mnemonic for remembering the first six digits of pi: Count the number of letters in each word and you get 3.14159. Each of the following phrases is also a mnemonic for pi. Can you figure out HOW each mnemonic stands for 3.14159? Hint: Consider the spelling, sound, and shapes of the words. 1. We won your fun drive sign. 2. Circles and diameters are equally important. 3. The easy vowels echo mathematical magnitude. 4. Bring in your initial six questions. Good luck. Note: The world record for the most digits of pi memorized is now over 40,000 digits. The record holder used very sophisticated mnemoni…

In geometrical constructions using compass alone, we should restrict ourselves to two fundamental constructions: To find the points of intersection of two circles. To draw a circle with given center and radius. Can anyone tell me how to find the middlepoint of a given arc using only a compass?

I've been thinking about this problem for a few months now, are irrational numbers feasable as Cryptographically Secure PseudoRandom Number Generators (CSPRNG). I know on their own the digits of an irrational number would do a terrible job of this, because of the predictability once anyone found what number was being used. I also know that irrational numbers become periodic when expressed as continued fractions. Also, calculating more than a few thousand digits of even a square root costs a lot of computer power. But what if you only use a few digits from a number of irrationals, and not the first few digits either, and then transposed those digits so that they …

Prove that for all positive x, y and z (x+y)^z + (y+z)^x + (z+x)^y > 2