Mathematics

Are there any formulas for finding the LCM of at least 2 numbers? All I know is tedious methods which give you a long amount of time of computing (not always? If yes, then what is it? If no then is it still possibe that we can find a formula?

I loved David Acheson's "The Wonder Book of Geometry". Can you recommend other books like that?

[math]w = \frac{K^{\frac{1}{4}}}{K^\frac{1}{2}}\frac{p}{2} \left(\frac{w}{2r}\right)^\frac{1}{2}[/math] [math]r=\frac{1}{8}[/math] and [math]w = \frac{1}{2}[/math] What is K in terms of p? The answer is [math]K=4p^4[/math] but I want to see the working out because, for some reason, I got [math]K=2p^2[/math].

A friend posed a riddle. There are two boxes, one with ten tickets, and one with one hundred tickets. There is one lucky ticket in each. Do you choose one chance with the ten or ten chances with the hundred? I reasoned that with the ten out of one hundred, a person's chances are better because as you're picking tickets out of the box, there are less tickets in the box. Therefore the probability is 1/100 + 1/99 + 1/98 + 1/97 +... + 1/91 for a 10.48% chance of getting the lucky ticket. My friend says no, the probabilities are equal. Which one of us is correct? EDIT: I'm wrong because I know that this series doesn't add up to one, but I still have the fe…

I have just a simple question about the imaginary number i : Since it's the square root of -1, is -i2 equal to 1? Thanks

As some of you already knew, to develop an L-system fractal you need some rules for angles and lengths. L-system also is well known for its application in plants. So i had a plant in the ground and measure the lengths(cm) of branches and their angles. For example i will post some of the data here. Lengths (cm): Beginning from the bottom and going upwards. 1st generation) 64 2nd generation) 31,8 | 20,1 3rd generation) 19,3 | 22,6 | 25 | 25,8 4th generation) 7,7|23,6 | 21,4|12,2 | …

hello: my text book have a very vague explanation of the meaning 0 term connective, simply the set of 0 and 1, and my aftermath understanding of the definition are hindered. can any body give me a better explanation of that any comment is welcommed.

I am doing this 3D app that has some annoying trig in it, that is kind of messing with my head, as I am not the best trig guy on the planet...so please help! I start with 4 equilateral triangles, to make a tetrahedron, and all I want is to really have each point in the triangle touch a radius of a sphere. I map everything in horiz/vert degrees, to get the base down... I start with the "top down" and draw out on graph paper, an equilateral triangle and put a dot in the center, and draw a circle around it. I make isosceles triangles by drawing lines from the dots to the points, so you have three of those inside it, and it looks like the center point out of each…

A light is at the top of a pole 20 m high. From a point on the ground 8m from the base of the pole a ball is thrown upwards with an inital velocity of 13 m/s. At what rate is the shadow of the ball moving along the ground 1 second later.

Here is a rather tough problem for me. I appreciate any suggestion for the solution from any of you cause I really don't have any idea.

hi, what are the numbers have to bee in similarity matrix? is it be the the large real vaule of comparison the element with itself? thanks

Hello, I was wondering if anyone can give me some information... I was wondering how many 3-digit Prime numbers there are, and what they are and which 4-digit numbers are also Prime. There was something I was trying to work out about them involving orders of magnitude between different Prime numbers, but I don't know where to look for that kind of information. Thanks a lot for any help you can offer!

Hi all! I'm supposed to prove the following: Suppose that m is a positive real number. Show that Sigma(j^m), j runs from 1 to n is O(n^(m+1)). So we have: Sigma(j^m), j runs from 1 to n = 1^m + 2^m + 3^m + . . . + n^m I think we should use induction on m here to prove this. Basis Step: m = 1 This is definitely true for m = 1 because we have Sigma(j^1), j runs from 1 to n = n(n+1)/2 which is O(n^2) Now, O(n^2) = O(n^(1+1) = O(n^(m+1) Inductive Step: Assume Sigma(j^m), j runs from 1 to n is O(n^(m+1)) to be true. That is, it is true for m = n. (Inductive Hypothesis) Then must show it is also true for m = n + 1: …

Hi everyone, Just started my computer science studies and don't have any advanced foundations in math (studied litterature in school). I'm faced with a story driven logical problem which i've translated into the following equasions. if A false and B true => C is False if D true => A is true if E true and A true => B is true if I true => E false or D false if E true and I false => D false and A false if E false => F true and B false if C true => H false if D false and C true => I true I then need to answer if E is true, if D is true , if I is true , (...) if when C true => A true? if when C false => A false? (b…

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?

this forum is very good for mathematics.

Two nice mathematics articles in Seed magazine http://www.seedmagazine.com/news/2006/09/putting_his_money_where_his_ma.php http://www.seedmagazine.com/news/2006/09/maths_architect_of_beauty.php

I have this problem with solving 4th order tensors. I've spent 5 hours trying to solve the damn question in the library but no luck. Is the problem solvable? please help I'm not smart enough for this kind of question The attached file is the problem... Please help a poor guy out:(

Can you get pi anywhere on the Klein bottle or are the two related in any way? I am just wondering being I don’t know much about the Klein bottle but I am wondering overall if it has any connection to irrational numbers then of course I though about pi.

How do you calculate pi using Base 16? According to Wikipedia it's 3.243F6A8885A308D31319… but how did they arrive at that number?

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.…

I'm trying to understand common core, however it seems who ever is making up these equations is using arbitrary numbers to make their point. I could understand if the numbers were derived from the question, but that's not the case. Example: _______________________________________________________________ What does 26 + 17 =? 1.) First think: 4 + 13 = 17 ( why not use 16 + 1 or 12 + 5...why 14 + 3) 2.) Add 26 + 4 = 30 3.) Add 13 + 30 = 43 ________________________________________________________________ ~ee

Hello, I have been a A student for a few semesters at my local college but this semester is been kicking my butt. I wanted to ask some advice regarding my math classes and programming class since I seem to have a deep struggle which hasn't gotten to be quite serious. So the math classes I am taking are linear algebra, discrete math, and Calculus II. For programming its C++ part 2. The habits that I notice is that: 1) I don't get enough time to absorb the material to improve my knowledge when it comes to any given concept. 2) I usually can't understand my notes and it seems my Professor and classmates aren't able to help me out either I can't …

which is same as y = ^ i hope .. anyway .. help

Does an equation that describes a physical situation apply to a situation in which one of its parameters does not exist?