Mathematics

Is it just me or do you sometimes find solving equations simpler when you think of things like this where, a = b + c - 2c becomes (mentally even if you don't write it like this) +a = +b +c -2c so everything is signed and any existing signs become attached to the symbols on there right? I say sometimes as mostly I don't find this necessary however when I can't work out what is going on specifically with an equation with lots of negatives in I find it a useful way of thinking about the equation. Each bit then becomes septate and can be thought about more easily. example 1: b + c - 2c parts: +b +c -2c simplified: b - c example 2…

I just can't see this rearrangment, could someone please explain it? Thanks F - Tcosx = 0 B - Wsinx = 0 all that boils down to tanX = B - W/F I understand that cosX/sinX = tanX but it's the other bits I can't work out.

If you're given an average value and the sample size can you determine from those values what the maximum & minimum values were that gave the average value? Thanks

I've often seen in equations cos^2 then some angle so for example:- cos^2 45deg. How does this work on a calculator or do you have to do something clever to work this out? Also what does cos^2 mean (other than cos x cos)? Thanks

A (formal) polynomial [math]P(x) = a_{n}x^{n} + \cdots + a_{2}x^{2} + a_{1}x + a_{0}[/math] is said to be of degree [math]n[/math]. Does anyone know if there is any standard language that describes a polynomial that is strictly of the form [math]P(x) = a_{n}x^{n}[/math]? (One way to do this would be to introduce a filtration and then a grading, but I wanted to avoid doing so if some common language already exists.) Is the word "homogeneous" use commonly for this. (I have seen it used for similar ideas). Thanks

The purpose of this thread is to explain the basic logic of how a formula comes to be, and to explain where do Constantes come from. Please forgive my English Simple to understand, the steps are in order _________________________________________________ Part [math]\alpha[/math]: Let us take a simple problem "In a factory, 2 workers working 6 hours, 5 days a week, produce 100." Now let us think, the more workers we have the more blocks we produce so the number of workers is directly proportianal to the number of blocks produced. Also, the more hours they work, the more blocks they will produce. So the number of hours is also directly proportional to the…

I know the following involves common factors but I just cannot see how the 1appears in the second equation could some kind soul add an explanation? = mg + m v^2/r .................(1) ??????????? = mg (1 + v^2/rg) ................(2) It's what happens between (1) & (2) that's bugging me. Maths was so long ago!!! Thanks

When algebraic maths and programming code are written as examples they look very similar and confusing one for the other leads to all sorts of confusion. In programming symbols may be multiple letters long aa = ab + ghp This does not mean [math]a^2 = a*b + g*h*p[/math] but instead could be written in algebra as a = b + g In OO (object oriented) programming most of the program concerns object. An example of an object could be a "dog". If I want my dog to bark for a set length of time at a set frequency I could use the code as follows. dog.bark(4, 2) In this line there are 3 symbols, one of which is an object called "dog", the other two a…

In wikipedia http://en.wikipedia.org/wiki/Algebra In algebra www.algebra.com In google http://books.google.co.in/books?hl=en&id=FJmiSW1KRBAC&dq=algebra&printsec=frontcover&source=web&ots=k1a6i_JdeY&sig=ImQYTeBP75MH6fmV-lBuGVdZA4Y&sa=X&oi=book_result&resnum=3&ct=result#PPA214,M1 in google www.algebrahelp.com applets in linear algebra www.mathresource.iitb.ac.in/linear%20algebra/appletsla.html In google http://books.google.co.in/books?hl=en&id=XDN8yR8R1OUC&dq=algebra&printsec=frontcover&source=web&ots=fodeL0CGFQ&sig=ehGSN1nVi-ifbk9gGznHqjpX1hY&sa=X&oi=book…

Hello! I'm a web programmer and have been commissioned to develop a simple site that accepts a 'ticket number' and then tells the visitor instantly whether they have won a prize or not. What seemed originally like a simple problem has, under further thought, proven to be nothing of the sort and I need expert help. The problem is largely that of ensuring that the prize allocation is fair, logical, and evenly distributed. This aim is complicated by the following factors: The competition is based upon physically received leaflets following a visit to a store. The competition will run for three months or thereabouts. The number of prizes is very small in comparison …

how do i work out the area of a circle without a calculator? thanx

Here is a question for everyone: Imagine a circle with line AB tangent to it and line AC being a cord of it. AC and AB form angle BAC with has a measure of 20 degrees. If arc AC is 2 units long what is the radius of the circle? This is not a homework problem simple something I came across. Sorry my diagram is not the best. [ATTACH]1878[/ATTACH]

Is the answer to this equation correct? I'm unsure if it should 2g in the denominator of the answer. I think it should be just g. (U sinX)^2/g - (U sinX)^2/2g = (U sinX)^2/2g (The g and the 2g are the denominator of (U sinX)^2 respectivley)

Can somebody describe BINOMIAL THEOREM in a effective way....ABout the its "general term", "middle term" ...........thanks to anyone who will describe it

5 km/h*sec -Is how my textbook gives equation for acceleration which confuses me because the way I understand, it should be: 5 km/h/sec the textbook equation would read - five kilometers per hour each second while mine would read - five kilometer per hour per second Is there any difference between them that I am missing, and do you think my professor would take points off if i do it later way? I am in a course where I teach myself and turn my work in, and semester has not even began yet so i can't ask directly and this is just a litlle thing that wont leave my mind

Density is 10.34 Flow is 1844 Nm3/h… Anyone know how to convert to Kg/h?

Is it at all possible to have the number 0.0(reoccuring)1? or for that matter any other number at the end? my idea is that the number is 0.0 with an uneding string of 0s on the end, but if it did have an end, it would end in 1. Is this possible?

Question 1: If, for example, I have a sequence n=1,2,3, 5.... and I have to divide this sequence by 2, that is n/2=0.5, 1, 1.5, 2, 2.5...., but in my next formula I have to use only whole parts of the results: n/2(whole)= 0, 1, 1, 2, 2,... Is there a mathematical symbol for such expression ? I tried few web sites, including the Wikipedia, but was not able to find one. Question 2: Is there mathematical symbol for rounded numbers? Please, help !

It is already known, that the 'universal language' is mathematics. This is not in question! It is the human preception of this language, that must be presumed as accurate, until verifiable 'empirical' evidence is introduced! This must then become accepted, and applied from the platform of mathematics, and rendered to 'all' branches of science, technology, communications . . . etc., and into the general public domain! CERN LHC programs are our only known hope of an 'Axiom Proof', in all fields of endeavor, and this will not be without extreme risks! http://thefifthknight.blogspot.com/ Remember: Follow the 'White Rabbit'!

square and hexagon are two. what are the other three?

would negative distance occur in a theoretical situation where the length of a straight line between two points is greater than that of a non-straight line?

I find fringe mathematics fascinating. There are equations like e^(pi*i) = -1 that boggle my mind and proofs for how 0.999... = 1 that just amaze me. I thought it would be cool to start a thread for people to post proofs/facts/interesting problems in math that warp our common sense notions about how numbers work. I'll start with the proof that .999[bar]=1 (where [bar] denotes an infinite series): x=.999[bar] 10x=9.99[bar] 10x-x=9.99[bar]-.999[bar] 9x=9 x=1

How doI calculate this on a calculator? ln2^10^22 this is the natural log of 2 raised to the power of 10 to the 22. Ta

For any math whiz types please help. Say I wanted to make a math model, not for anything in particular. In this model I wanted something that could describe any particular value which itself is defined by probabilistic values attached just below such or values. I wanted for those values to be required to be treated as units and also satisfy being able to be represented as say geometrical units or parts of a whole. Say I also wanted to add on a chunk to the equation that worked the value with the attributes so it had to display relationships if I were to add in more the one major variable to be defined, it had to do this by making the geometrical values to the sub val…

I am revisiting some of the ol' trigonometry, and while I was reading about in various places, it occurred to me that the authors fairly quickly introduce definitions of the trigonometric function. I am left with definitions like, [math]\sin \theta = \frac{opp.}{hyp.}[/math], which stems from the fact that in a right angled triangle, the ratio of the triangle ABC (with the hypotenuse AB = 1 and angle between AB and AC = [math]\theta[/math]) relates to the ratio of any scaled version of the triangle having the same angle. If we assume that there is a larger triangle ADE (hypotenuse = AD), then from Euclid (if I remember correctly) the relation [math]\frac{BC}{AB} = \fr…