Mathematics

I am looking for reason why anything raised to the power of zero is 1. On a side note any reason why log's of zero are undefined.

Suppose I have a number, any random number like .3252389472395872394729..., is there software that will test possible exact formulas containing certain parameters, like if I want it to test if that number could be some coefficient of pi or e or e*pi or sin(tan(cos(sin(tan(cos(42424244424)?

What exactly is mathematical physics in contrast to non-mathematical physics? I would imagine it is physics done in the way of pure maths, as in designating axioms, definitions, some inference rules implied by the context, and then deriving theorems about the subject matter, or similarly constructing structures that correspond to physical phenomena. But then what is the difference between that and, say, solving some equation and deriving the result using the informal tools of calculus/algebra. Each step in the derivation might not be given a justification like a proof step, and there may be differences in formatting and fullness, but wouldn't it be the same applicatio…

Hi, Math is far from being one of my best subjects, so im looking for some help in this area. How can I measure the bulk density of a dry powder into cubic feet using a 1 cup measurement? Thanks for any help!

I want the geometrical interpretation of the following: > If fxx * fyy} < fxy^2 and fxx has the same sign as fyy at a point, then why is that point a saddle point? Because,in the case that they have the same sign,one would expect that point to be a minimum or maximum point,not a saddle point. Bear in mind,that i have checked the intuitive explanation that is available in wikipedia,but did not understand it. Also, i am studying physics and not math,so please don't complicate things with symbolisms that i might not understand. Also, i want an intuitive answer,because i know the maths behind categorizing critical points.

Can someone help me on the problem: Assume the probability of each relay being closed is 'p' and that each relay is open or closed independently of other relay. What is the probability that current flows from L to R? See the circuit diagram below. The relays are just like switches. If closed current flows else if open current does not flow. This problem is from the book of Meyer : introduction to probability and stastical applications.

This guy is trolling me at school, he keeps saying that "You're a Senior, you should know that", but I find this kind of statement to be invalid. Because if Advancing to the level of Senior = Knowing a specific piece of information was indeed true, then why didn't I know that? So now, I want a to put it into a mathematical equation to shove in his face. Any ideas how to write it?

Why is it that a negative * by a negative equals a positive. Especially given that if I add to negatives I get a negative. Multiplication being addition and all.....

Why is it that 1 is not considered a prime?

I am looking for in depth reasons for why division by zero must remain undefined.

The Not Integer Line ~-5 ~-4 ~-3 ~-2 ~-1 ~0 ~1 ~2 ~3 ~4 ~5 Author: David Elkins

Give an explicit form each of the terms: a(1) = 1 a(2) = 3 a(n+1) = [a(n) + a(n+1)]/2 I just started with this topic. How can I calculate what a(n) is? Should I replace a(n) by 1 and a(n+1) by 3 and divide the result by 2? Would that give me de?

I have little math, But i came across this fact about prime numbers which i thought was interesting and worth a share, Most properly old to those with math, 23X23=529 =(24X22)+1 29X29=841=(24X35)+1 31X31=961=(24X40)+1 37X37=1369=(24X57)+1 41X41=1681=(24X70)+1 I was wondering if there is any sequence to this? Between the multiples of 24? A little find like this to me, brings a new interest and lets me explore where i would otherwise perhaps never go. So my first thought was 3x24 -1=73, So i googled 73 , 73 is an emirp, m…

Hi all, My brother is getting married next week and he and his wife to be are school teachers. They had a bit of a theme going on the wedding invites etc that was the square root of R + V = "heart shape" and I would like to turn this around in a clever maths way of taking the piss. Not to clever though as many guest including myself wouldn't understand!! Can anyone help?

does anyone know this puzzle and has seen a solution like the following before: https://www.facebook.com/profile.php?id=100008303142425 i hope it's ok to post it in this subforum. i will not try defend the puzzles ideological background nor comment on crowley himself, i'd just like to treat it AS IF IT WERE an actual puzzle. the original cipher / puzzle / riddle as found in the "liber al vel legis", respectively as it is traditionally multiplied (4638ABK24ALGMOR3YX2489RPSTOVAL) is "translated" into letters only, then into numbers only. i think the most important step is the "double translation". it brings up the question of how to treat the number 24 (as either the le…

In this integral (error function), what is d and what is t? This stuff is hard to find for math noobs

I recently watched a pretty neat youtube video about a theorem that one of the writers of Futurama made up for one of their episodes https://youtu.be/J65GNFfL94c The professor has invented this mind switching chair that lets two people who sit on it switch their minds. But once two bodies have sat on the chair the same two bodies cannot switch minds a second time. In the episode the characters end up with their minds all over the place. They bring in two extra mathematician/basketball player characters who prove that they can sort out any mess using their two bodies as storage space (the Futurama theorem). Here are a few problems which I think would be fun to puz…

Hello, my name is Fred I am trying to predict the outcome of competitive counter-strike global offensive matches by using data that I stored. Matches are 5v5 and there are 30 rounds per match Entry kill ratio: the ratio at which the players manage to make the entry kill (kill the first enemy without dying) The data that I have: TEAM 1 : allu 1.81, get_right 1.18, forest 1.17, friberg 0.8, xizt 1.27, AVERAGE 1.246 This is the entry kill ratio for each player for this team on this particular map. Round win % after getting first (entry) kill: 77.22% TEAM 2: maniac 0.95, x6 1.01, kennys 1.48, rpk 0.97, apex 0.91, AVERAGE 1.064 This is the en…

Hi everyone Imagine a horizontal line of length 1. Divide it into 2 equal parts. Now pick a random side of the 2 equal parts: left, or right. If you pick the left half, divide it in 2 and now focus on the 'new' right half (of length 0,25). Divide that into 2 and now focus on the 'new' left half. Divide that into 2 and focus on the 'new' right side. As you see, alternating between 'newly cut' left and right sides and divide that once again in 2. I find that using this algorythm approaches 2 values: 1/3 for the left side, and 2/3 for the right side. (1) Is this true and (2) how can this be proven? Thanks. F.

I want to make a golf ball launcher just beacuse it sounds like fun to see how far i could gat a golfball to go. anyway to make the golfball launcher i and going to get a 3000 rpm moter and make a wheel that will spin on the shaft of the moter. the top of the wheel will be inside a pvc tube so as the wheel spins a golfball will be droped in to the pvc pipe and be forced between a spinng wheel and the inside of the tube. this should force the golf ball foword. Like a soccerball launcher. If i use a 1 ft in cicumfernce whell than the ball will be moving at ruffly 22 mph. so i want to know how far the ball will be launched if shot at a 45% angle. how do i do this. at what ra…

Trying to understand the fundamentals of binary rather than just following steps, I wanted to know why do we multiply by 2 to convert a decimal ([latex]0.5[/latex], [latex]0.25[/latex]) to a binary and why do we divide by [latex]2[/latex] when we want to convert a whole number [latex](200)[/latex] by [latex]2[/latex]? Obviously, it works but how ? Take the following example: Convert [latex]200_{10}[/latex] to binary: Solution: D > B | Remainder ------------------------------------- 200 / 2 = 100 | 0 100 / 2 = 50 | 0 50/2 = 25 | 0 25/2 = 12 | 1 12/2 = 6 | 0 6/2 = 3 …

So, I saw the definition of the conjecture: A runner is said to be lonely at time t if he is at a distance of at least 1/k from every other runner at time t. The lonely runner conjecture states that each runner is lonely at some time. And then it asks "Can the Lonely runner conjecture be proved for k≥8?" What confuses me about the statement is it seems it is asking if it can be proven for smaller distances. Why would that be difficult to prove? I thought it would be more trivial that way(not saying it's a simple problem). Would it not be harder to prove it for larger distances?

I'm trying to write a function that where the domain is all whole numbers that returns only the values 1, 0, and -1. At first I made a peacewise function: [latex] f(x)=\left\{\begin{matrix} -1 & x<0 \\ 0 & x=0\\ 1 &x>0 \end{matrix}\right.\ [/latex] But I think I can be more clever than that. Would it be proper to combine the floor function and the sine function to make this? [latex] f(x)= sin \lfloor x \rfloor [/latex] Or would I need to do something else to make that work? Thanks in advance for the help!

I am looking for a mathematical theory that describes or explains causality dilemmas. I have come across causal decision theory but I don't think it covers the problem of dilemmas. It might be covered under Game Theory but I'm not sure. I am also looking for mathematical examples of such a problem.

FYI this isn't homework help, this is me teaching myself. I have a problem where the book tells me to solve for the inverse of the function. Then the book tells me to evaluate the inverse for: [latex] h^{-1}(9) [/latex] and... [latex] h(9)^{-1} [/latex] I can easily do the first one, but what the heck does the second equation mean??? And how do you do it, or is it the same thing just written differently? I've never seen that before! Thanks in advance for help