Mathematics

terrence mckenna derived the FRACTAL TIMEWAVE out of the KING WEN sequence of the I CHING. i have looked at his math and it is very complicated and i do not understand, plus I know nothing about FRACTALS except that they relate to the structure of CRYSTALS. it is my theory that the universe is really just one big giant CRYSTAL and i think terrence mckenna went a long way to prove that with the timewave. he says that history is feeding back on itself and that time resonates over and over again and that these resonances are increasing and will reach infinity in THE YEAR 2012 WHICH IS THE END OF TIME. he does not explain what happens in 2012 but says that man…

Hi I hope someone can help me. Are there any good websites for learning logic? I've just been trying to figure out antecedents and consequents and the two valid ways and the two invalid ways of arguing them. I'm confused by the following sets of propositions: If I buy the correct ticket then I'll win the Lottery. I'll win the Lottery only if I buy the correct ticket. The consequents and antecedents are reversed from one the the other, yet one of them can be a true statement and the other not?

if y_1 and y_2 are the answers of this equation: (d^4 y/dx^4) + 4 y = f(x) then what's y_2 - y_1? I used laplace Transform! Thanks in advance

I'm currently in a linear algebra class and we are doing a massive amount of proofs, something that is foreign to me. Every time I'm asked to do a proof my effort turns into a narrative argument, and my problem isn't knowing why something is true or not. I piece it together in my mind and can argue it, and if I had to teach somebody whether or not something is true I have faith in my abilities to do so, but I'm having difficulty providing any type of valid mathematical proof. What's lost on me appears to be the logic behind the language of proofs and what assumptions can be made when doing them. A lot of proofs make perfect sense to me when I read them, but somet…

how many times would you have to shuffle a deck to wind up with all the cards in the original order?

a friend of mine said there was a way to prove 4 is more than 5 could anyone please explain?

I really dont know where to go with this one. A boat sails across a straight river of uniform width W, starting from a point O on one bank of the river. The velocity of the river at a distance y from the bank is u(y)=ay(W-y), where a is a positive constant. The boat travels at a constant speed v relative to the current and steers a course set at a constant angle p between 0 and pi. in the downstream direction. a) show that the velocity of the boat is (u+vcosP)e1+(vsinP)e2. b)at what time does the boat reach the other bank? c) show that when the boat has reached the other bank, the downstream distance it has travelled is equatl to [math]\frac{aW^3}{…

Hi, i hav a problem which i am unable to solve. it is from the chapter on trigonometry here goes: A vertical rod is fixed in a horizontal rectangular field ABCD. The angular elevations of its top from A, B, C and D are alpha, beta, gamma and delta respectively. Show that: cot^2 alpha - cot^2 beta=cot^2 delta - cot^2 gamma plzz help me with this and post the solution as soon as possible

In one of Terry Pratchett's Discworld novels he describes the Proverbial Quantum Butterfly as having infinitely complex wings that had an infinite edge and therefore an infinite area. A friend of mine disagree's with this and says that as Koch's snowflake fits can fit into a circle with a finite area, the snowflake itself must also have a finite area, although I agreed with that at first but then I figured that sometimes things are not that simple, as with Gabriel's Horn and the other stuff I don't understand. So if something has an infinite perimeter, then does it have to have an infinite area?

Hey guys, tis my first entry so apologies if I seem a little nervous! My friend and I were having a healthy debate on rather silly physics theories as we do. My friend then suggested the existance of irrational dimensions. This seemed far more silly than any other but i found some proof off a website i cant remeber the address of. I would like to open this thought up to debate - irrational dimensions or at least non-integer dimensions (like 4.3rd dimension or the e'th dimension) Thanks all!! Perry.

Hey, I read this question a while ago and was wondering if anyone could come up with proof for this question. Let a1,a2,a3,a4, and a5 be any distinct positive integers. Show that there exists at least one subset of 3 of these integers whose sum is divisble by 3. (Use the fact that every integer can be writtein in the form of 3k, 3k+1, 3k+2, where k isa int). Thanks, this question has been bothering me for quite some time now

I found this article very interesting and thought you math guys would really enjoy it. It relates to the probability of two people out of 40 having the same birthday in a room of people who's birthdays are sequential. Surprisingly enough, it's not 11%, but in fact it's 90%. http://www.damninteresting.com/?p=402#more-402 That'll probably explain it better than I can.

I am interested in knowing how to find the distance along a function between two values. I am surprised to see that this kind of problem is never encountered in the highest level mathematics in high schools in Australia and decided to research it myself. I would appreciate a term that might be useful to google or perhaps a link to a wiki article or something. Thankyou, BigMoosie

2 + 1 + 3 + 2 = 8 The number 21328 has a unique feature: The sum of the first four digits equals the units digit. How many EVEN five-digit numbers have this unique property?

i'm trying to prove that a funtion f(being f injective, and it's inverse are symmetric to the line y=x i can prove that the any segment defined by the points (fx,x) (x,fx) is perpendicular to that line, which also contains the midpoint of the segment. SO the line is the perpendicular bisector to any segment (fx,x)(x,fx) however i realy don't know where to go next? is this enough?whats is the definition of symmetry axe?

Im sure they has been a thread on this but I want to know if anyone knows how to solve a rubik's....except with a more beginner solution.

Hey guys, This is just a grade 10 level math question that I have, that will be extremely simple for you, but I am unable to understand what to do (I am in Grade 10 too). The problem is that there are 9 people playing sports, and they need to divide up into teams of 2. How many different ways can they form their groups? The answer for this question is 20, but how do you get that answer? I am totally confused, and all your help in clarifying this matter is greatly appreciated. Thanks, RedAlert

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!

There is a large square of a side s containing a small circle with a radius r, a point is chosen randomly within the square, what is the probability of the point being within the circle? I'm tempted to think that the awnser is [math]\frac{\pi r^2}{s^2}[/math] but the following question is: Show that if r increases by 20% then the probability increases by 40% If [math]r_{1}=1[/math] and [math]r_{2}=1.2[/math] then [math]\pi r^{2}[/math] increases by 44%. Where have I slipped up?

Tried to format this as best as possible, a machine given an input of x, outputs the following, where x is 116 What is the relationship between the given input and output per number of positions? Elements Positions E Pos1 Pos2 Pos3 Pos4 Pos5 Pos6 Pos7 Pos8 x = 69 216 x, x= 69 172 16 x,x,x= 69 172 100 122 x,x,x,x= 69 172 100 14 74 x,x,x,x,x= 69 172 100 14 62 26 x,x,x,x,x,x= 69 172 100 14 62 110 40 x,x,x,x,x,x,x= 69 172 100 14 62 110 92 58

Ok, I remember learning about partial fraction decomposition a while ago, and how it involved separating a fraction into the 2 fractions that existed before they were multiplied by a fraction of 1 to obtain identical denominators. However, I have forgotten how to do this, and I was wondering if someone could refresh my memory on how it's done. Thanks, john

This is probably a stupid question, but I was wondering if a point is 0 dimensions, and a line with no width is 1 dimension, can you generate 1 dimension from 2 points of 0 dimensions ?

could you please help me with this question I would be very much obliged. I cant hack it for my exam A racing car of mass m travels along a straight road. While travelling the racing car is subject to a constant frictional resistance equal to ma (a is a positive constant) and aire resistance equal to k times thee square of its velocity v. The engine of the care can rpovide a constant propelling froce equal to mb (b is a positive constant) and can bring the car to a terminal velocity Vinfinity. a) given that the racing car starts from rest, show that it reaches a speed of Vinfinity/2 in time [math]\frac{v_{\infty}log3}{2(b-a)}[/math] b) at this point the e…

I'm looking for a non-textbook about maths wich suits pre-university level (that's not to say I don't want anything challenging). I would quite like to learn about something entirely new to me, such as chaos theory or cryptogoraphy. What can you recomend?

Say you have three sides of a right triangle that form an arithmetic sequence. The only possible one is 3-4-5. Prove this.