Mathematics

I am trying my hardest to come up with an example of an actual infinite, versus just a potential infinite, without having a platonist rationale. One book I was reading suggested the number of positions that, say, an electron could occupy on a yardstick. I guess it could truly be anything: a ping pong ball and football field, or even a golf ball and a line segment 1 mm longer than the golf ball's diameter. But, my hangup in this, is if there are truly an infinite number of points it could occupy, then how could you roll that ball the entire length of your measure and cover every position if it truly had an infinite number of positions? Like I said, my thinking is m…

For sequence' a n = a n-1 + a n-2 We first assume that a n has a general form of b^n. Then, we put it into the sequence equation and get a quadratic one. It will be ok for me if the final solution for the a n be that form. But normally, if there exists two different roots, the final solution indeed is in the form of (C b^n + D f^n) where they are arbitrarily assigned. Why do we assume the incorrect form but getting the correct answer? Any comments Please!

hello, i could never work out this problem, and i am fed up it now, hope my question is clear!! thank you

How do you find the volume of a human body in a simple, original and accurate way? ...please do not say, get into the bath.

I`m probably missing something simple here, but here goes: you`re in your Lab and make Chemical X. you don`t know what the properties of this chem X is. you get a phone call that requires you to leave the lab and this chem. now it`s either Stable or it isn`t, it`ll be just the same when you get back, OR it`ll be a disaster area! you Don`t Know about Chem X though. it`s one of 2 outcomes only. are you taking a 50/50 chance by leaving it?

f(x+y)= f(x)f(y) If we take log for both sides, we have g(x)= g(x) + g(y) by letting g=log f Then, after a series of calculation and checking, we have f(x)= a^ (cx) I have a few questions dealing with the log. Can I choose any base, for example 10? Must a=e where it is the natural log.? Last, I am confused with the use of fixed point, or perhaps I even don't know the complete definiton of me, hence, finding myself incapable of doing this kind of calculations. EDIT: I am very interested and enthusiastic for functional equation. However, I can't find any books related to this topic or subtopic. I've checked algebra, statistics. Does it belong to Discrete maths …

Parallelogram ABCD has diagonal AC equal in length to side AB. CD is produced to E so that D is between E and C. If angle BAC = 30 degrees, find the size of angle ADE Please Help Thanks in advance

I'm trying to learn how to do mental math in base-16. I understand how it works and I can do it on paper if I think for a long time, but the biggest problem I'm encountering is what words to say in my head as I read the numbers from the page. I can't call 1716 "seventeen" when I know it equals 2310. And I have no clue what to call 1C16, 20016, 400016, etc. Usually I hear anything besides base-10 being spoken one digit at a time, so that 4D2F would be read "four-dee-two-eff." This feels very awkward and totally useless for mental math. I was wondering if anyone here has experience with this and knows of a widely accepted and intuitive spoken system for hexadeci…

Putting powers upon powers aren't taught in school. But this problem is interesting. The problem is to find x. x^x^x^x^x^x... = 2. Find x. This was in the book The Art of the Infinite. Now the question is whether or not there is such a number x. If there was, it'd have to be greater than 1. But it'd have to be less than 2. The idea is that because x^x^x^x^x... = 2, it is the same as x^x^x^x... = 2 and so you can have x^2 = 2, and x is the square root of 2. Now the steps seemed logical to me, but I was skeptical so I tried to check it on the calculator. But x can't be the square root of 2 because this diverges. I tried it on the calculator different ways, pressing …

I understand this type area = width*height e = (m*c)^2 As a programmer I use these type of equations all the time, although they are not always as simple as the ones stated above. However this type Utterly confuses me Coding isn't just equations, there will be commands and stuff backing my equation's up as they means noting to a compiler on there own, I guess in wider maths an equation does stand up on it's own as being meaningful therefore it needs to be expressed in a more complex way. Can someone explain or point me in the direction for stuff about understanding those sort of equations. Until then I will continue with my current "observe, under…

so I need to get a laptop for college, most of what I'm going to be doing involves mathmatics and physics so I'm wondering what kind of hardware should I get in order to be able to do things on mathmatica and such in a timely manner. Most importantly is processing power important or memory capacity, and in terms of rendering capability for complex graphs and such do I need to worry about the graphics card?

1.Why if f(x) is not divisible by 4, then, it has no integral solutions? 2. If p l ab, then p l a or p l b. Does this mean that p could divide a and b at the same time ?

a though occured to me the other day, 200 years ago the highest level of mathmatics any mathmatician was educated to was calculus 100 years ago we started having to educate young mathmaticians to the level of linear algebra and vector calc (probably a couple others that I am unaware of) Learning these additional subjets requires several additional years of training. today a mathmatician requires 6-8 years of schooling in order to be trained to the level where they can do real work that actually effects the field that their in. My question is what will we do in anouther 100 years when it takes 8-10 years of training to be an effective mathmatician? or even fur…

are there any programs out there that draw vector fields for you?

a tree stands vertically on the bank of the river. from a point on the other bank directly opposite to the tree, the angle of elevation of the top of the tree is theta.from a point x meters behind this point on the same bank, the angle of elevation is 30.find the hight of the tree and width of the river. pls try solving:confused:

does anybody have the textbook vector calculus: linear algebra, and differential equations by hubbard and hubbard? if so, do you have any suggestions for the best way to work with it/ the rigor of it etc.

could somebody please tell me how to do this?? i am totally lost on this one. hgupta

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if one wanted to make a quick and easy demonstration that online poker cardrooms' shuffles are indeed random, i guess it would be pretty easy, right? just use a little probability to state how many times a given even should happen, then compare data to the theoretical outcome, right? the only part i'm iffy on, because its been so long since i've slept through a stats class is this: how much deviation from the theoretical outcome is considered acceptable error? for example, here's the little experiment that i did: while observing a texas hold'em game, i chose to observe how many times a flop (3 cards on the board) would contain no ace. in theory, the prob…

This is something my teacher did accidently whilst showing something else. [math]-i = -\sqrt{-1} = \sqrt{(-1)^{2} \times -1} = \sqrt{1\times -1} = \sqrt{-1} = i[/math] He said "that can't be right", rubbed it off the board and started again. Thing is, I can't see where the mistake was. Can you point it out?

What are the last two digits of a) 3^1994 b) 7^1994 c) 3^1994 + 7^1994 d) 7^1994 - 3^1994

I have made a 3D function plotter as a widget for Opera 9 users, you can find it here: http://widgets.opera.com/widget/4408 Please let me know what you think of it, I have never tested other 3d function plotters so am not sure what features are standard. Hopefully your feedback will help me improve it. Regards, Moosie

Tell me a number which when divided, multiplied, added & subtracted by a x number gives a same number, for example when 2 is divided with 2 it gives 1 & multiplied with 2 give 4 . Therefore the number is not matching.

This is not that easy problem but give it a try. Suppose triangle ABC is equilateral, and AF = BD = CE = 1/3*AB (D,E, and F are on BC,AC, and AB respectively). Compute the ratio of the area of the triangle ABC to that of the area of triangle made by drawing liens CF,AD, and BE.

Hi, A chap in the pub gave me a problem last night and I cannot solve it. As I really need to get some work done, can anyone throw some light on the matter ? A 6ft by 6ft box is placed against a wall, and a 20 ft ladder is placed such that it touches the wall, the ground and one corner of the box i.e (the ladder makes the hypothenuse). I need to calculate the opposite and the adjacent. Regards, Phil.