Interesting Definition and 754 Threads

Hi Friends,, Basically i am new here but i am very much impressed with this Place ...Especially with lot of ppls Along with my academics i have pretty much become interested in Novels.. I just finished 'Alchemist' last night in 6 hours and it was really amazing indeed...

1. Most interesting? 2. Most valuable for you?

this is kinda wierd, and I'll have to admit I'm going out on a limb, but I seemingly found a relation between four constants. here it is... h^4((h^2*e^2)/me^2 - 8(PI)/μ) = -4me^2e^2 me=mass of electron e=charge of electron μ=Mu_naught h=(Planks constant)/2PI= h bar this relation...

According to special relativity, distances are relative, as people measuring distance from different reference frames come up with different measurements and are equal on footing as regards their results. However, my question is then: how can we even define a given length, for example, the...

Hey, for a physics project, i have the task of building a manpowered cart that will fit one person in and slingshoot a regular volleyball a whopping 8-10m! the basic plan so far is to have the cart approximately 5'3 in length and just wide enough to fit the person it. The task is to hit a...

Hi, I am looking for some interesting (multiple choices type) quiz questions that are related to biology. The quiz participants include mostly recent college graduates of diverse background from biology to engineering to mathematics. The audience also come from diverse background. In general...

Hi, I am looking for some interesting (multiple choices type) quiz questions that are related to mathematics. The quiz participants include mostly recent college graduates of diverse background from mathematics to engineering to bio-med. The audience also come from diverse background. In...

Hi, In 1995, Yannick Saouter produced the study of a family of numbers close to the Fermat numbers: A_n=4^{3^n}+2^{3^n}+1 . (See: http://www.inria.fr/rrrt/rr-2728.html) Saouter proved that this A_n serie shares many properties with the Fermat numbers: 3.4 A_n numbers are pairwise...

Recently for some unknown reason, I placed a two pence coin (I don't know if you are from the UK or not, but this is about 2.5cm in diameter, I think its made of copper plated steel or bronze, and weighs around 6-7 grams) on top of a 60w light bulb, in a standard bedside lamp, to my surprise...

Hello, I've been stumbling across interesting articles about water recently, such as: http://www.lsbu.ac.uk/water/index.html http://physicsweb.org/articles/world/16/5/7 For something so apparently simple and ordinary and essential for life in a few different ways to be so full of...

I'm trying to solve a problem involving the payout from a probability game. Here it is: The game goes something like this: pay a dollar Flip a coin If it's heads, you win 2$, otherwise you win 0$ If (some event which has chance P) you are forced to play again You must stop if...

I need to find and study a topic of physics. My tutor told me he wants me to study something in one of several different topics and physics is one of my choices. He has told me if I do not learn something new in 3 days he will not study with me anymore. I have 2 days to learn it and I need to...

The advanced topics in complex nos are really boring and make no sense. Is there any way I can make them interesting like any software or book which would make it easier and enjoyable?

maximum dimensions-very interesting! hey guys...i have another question...i posted my answer right below it...does it look right guys?! I hope so! Thanks in advance You are to design a container box by cutting out the four corners of a square cardboard sheet that is 1600cm^2 in area. The box...

Interesting, water won't spash in a vacuum http://www.newscientist.com/channel/fundamentals/mg18624935.200 What could be some usefull implication with this?

Recently I had a slightly transcendental moment during a band trip, and it involved me throwing a rock into a pond. So if that sound uninteresting, it probably is. It turned out to be more philosophical than I would have imagined though, which is why I bring it up here (it might make some...

this integral was on a test I took recently--any thoughts or ideas on how to attack it? \int_{0}^{1} \frac{x\sin{x}}{1+\cos^2{x}}dx ~matt

hey, I'm having a bit trouble solving this physics question! :mad: so if anyone can help me, here it is: A stone is thrown up past a window. The stone requires 0.20s to completely pass by the 1.4m tall window. How high above the window did the stone go? I'm aware that the average velocity...

26/65 = 2/5 (cross out the sixes) 16/64 = 1/4 (again cross out the sixes) are there anymore *interesting* numbers like this? by interesting i mean that its not 11/11, since you can obviously cross out the 1's and get 1/1. the numbers have to be different also, are there any 3 digit...

I finished my undergraduate curriculum in physics and I'm out of school, working from home. School doesn't tell me what to do anymore.. I'm looking for an interesting problem I can work on, either a problem that could be solvable mathematically or some hands-on-experiments that I can do at home...

An interesting integral appeared on a test that I took today. I had no idea how to solve it, and was wondering if any of you all could possibly help me \int_{0}^{1} \frac{1}{x}-floor(\frac{1}{x}) we first had to draw the graph from 0 to 1, (which has a max of 1, a min of 0 (at 1/n for...

Don't know how long these will be active, but they are interesting: Lecture 16 - Down To Earth III: Earth Structure http://www.astro.lsa.umich.edu/users/cowley/lecture16/ Lecture 17 - Earth and Its Nearest Cosmic Neighbor, The Moon http://www.astro.lsa.umich.edu/users/cowley/lecture17/...

How can it be proved that Rnl(r) has (n-l-1) zeros (not counting those at r-0 and r= infinity? I tried doing this inductively but found it hard to get anywhere since the equations for Rnl(r) aren't too pretty. For instance, Rnl(r)=Anlunl where Anl= sqrt((n-l-1)!/(2n((n+l)!)^3) this last...

I put icecream in my microwave for about 20 seconds. When i take it out i notice that it's softest in the centre. However, when i defrost a loaf of bread it's always softest on the outside and still cold in the centre. Why is this, and if you don't believe me try it!

Pat shoots an arrow vertically upward with an initial speed of 25 m/s. When it is exactly halfway to the peak of its flight, he shoots a second arrow vertically upward from the same spot. They collide just as the first arrow reaches its highest point. (A) What is the Launch Speed of the...

First of all note this is NOT HOMEWORK This is an interesting geometry problem my old statistics and discrete math teacher gave to me, i solved it, however i just wanted to give it out... very tough problem (at least for me, probably easy for most poeple here) You have a triangle... the...

I'm a grade 12 student and have been given the task of teaching our algebra and geometry class for a day :smile: . There are absolutely no restrictions on what I can teach about. It does not in any way have to be related to algebra or geometry, just mathematics in general. What I really need is...

starting with 2,0,0,5 form the sequence 2,0,0,5,7,2,4,8,1 ... where each successive digit is the unit digit of the sum of the previous 4 ( 2+0+0+5=7, 0+0+5+7=12 , write 2, .. etc.) does the sequence 4,0,5,3 ever appear ? prove your answer i have been trying to see some sort of pattern...

Assuming o(1) is +, o(2) is *, o(3) is ^, etc how would you go about solving an equation such as: y = 3 o(x) 4 (where y is a given number and you must find x) I can't imagine how you would isolate x, you'd need an inverse o() of sorts. ie: x = o'(3, 4, y) (Hey, a 4d graph needed to...

I had a interesting dream two nights ago, I will explain it. A woman with "Angel" in her name told me the name "Deivion", after this I saw a another woman's name with an "Angel" design by it (as you would see on a card or such). Now after this a man approached me with urgentcy crying...

What about the quantum mechanics captures your interest?

Hurklyl, you are the resident mathematician, you might check this out carefully. Relativity is really a very complex issue seldom examined in detail by anyone. For example, I suspect almost everyone here who has ever taken a course in relativity has seen the exposition on looking at the back...

I need some help getting started on this one: Sound waves of frequency 582 Hz enter a window 1.3m wide. The window is in the exact center of one wall of a theater 24m by 12m. The window is 12m from the opposite wall, along which is a row of seats occupied by people. The theater is...

Hi, my teacher gave this problem and he said that it has a very "pretty" answer. You have two equal masses, each mass is called M that are touching each other. There is a block with mass m on top of the first mass M. This block is a distance H above the ground. When the block is released...

I just read the cover article in the most recent issue of Scientific American about viruses. The article was pretty interesting; it gives a short overview of the basics of what viruses do and how they do it and talks about their role in evolutionary history of organisms. The article also...

Here are a few questions that I have built up. If someone knows the awsner to some of them, I would greatly appreteate your help. 1.If a "body" were to exceed c, then time would go in reverse for that body of motion, not time around them, right? For instance, let A travel faster than c...

http://www.cartoline.it/pics/_zoom_flash.htm?immagine=scherzi_150404_01.swf > > 1. CLICK ON THE LINK > 2. PUT THE COIN IN THE VENDING MACHINE > 3. CHOOSE YOUR DRINK > 4. CLICK ON THE CUP WHEN IT IS READY > 5. CLICK ON "APRI" **** Don't forget to click on APRI

I'm about to do this project in which we will prepare and perform an experiment and then later tell the class about it. All this in about a week. I'm now trying to come up with some interesting experiment to do during this time. I'd really like some help on the subject. I'm looking for an...

http://www.sciencemusings.com/blog/2004/11/evidence-based-reality.html Follow the links for further discussion, like this one... http://www.boston.com/news/globe/editorial_opinion/oped/articles/2004/10/31/walking_the_walk_on_family_values/

This is a problem needed for a project...i have no clue what to do... two rods are lying parallel, with a third lying perpindicular across them, like a football goal post. how does one relate coefficient of static and kinetic friction between them, if only distance is measurable. This...

hi, I am looking for any suggestions as to an interesting and relatively deep (but not too deep) topic to do a presentation on. This can be anything to do with physics e.g the collapse of the tacoma narrows bridge, particle physics, time travel, the doppler effect or any physics phenomena. Any...

From the NCSE Oct 15 e-newsletter. I'm not trying to promote ID here, but it sure is refreshing to hear a voice from that arena finally say "hey, shouldn't we be using science to prove our case?"

I'm not very knowledgeable of physics as my main focus is computer technology. However, I purchased a Magnetix set from a local store a few days ago because I remembered these kinds of sets when I was a kid. With this 20 piece set I created a hexagon and had one remaining ball left over. I...

Greetings ! Maybe I'm just too tired and missing something, but this strange thing occured to me: a^n + b^n = c^n ln( a^n + b^n ) = n * ln ( c ) a^n + b^n =/= e^n * c example: a = 3; b = 4; c = 5; n = 2; 25 =/= e^2 * 5 Live long and prosper.

My linear algebra professor likes to use theorems he expects us to prove later in his proofs of theorems in class. Well it's not like that because it makes sense but they're usually more of side notes. Today he asked us to prove this: Given A and B are 2 by 2 matrices over the field R...

While poking around and reviewing some the old CIA files at the FOIA [Freedom of Information Act] reading room, I noticed a rather unusual, forty eight page document dated Aug, 1945, that discusses Japaneses espionage and secret operatives, Chinese complicity, and is titled "SHANGHAI -...

I've had this article for quite some time, and I find it to reflect greatly on the current political situation in America. The article was written in 1938 by Garet Garrett http://www.rooseveltmyth.com/docs/The_Revolution_Was.html Take some time, read it, and let me know what you think...

Are there two matrices A and B such that A*B is the zero matrix but B*A is not? I'm leaning toward no.. I'm composing my solution right now. Bah the only thing I can come up with is that if any row of A can be treated as a vector and any column of row B can be treated as a vector, for...

I have a trouble with this problem: Suppose you have a particle with mass 30Kg, this particle is in influence of a force F that acts along the x-axis and F=6+4x-3(x^2) and at x=0 the particle has 0m/s speed. Find the total work made by F between x=0 and x=3, then find the power given to the...

here's the problem: You are given a seven digit number. Prove that you can cross off some of the numbers at the beginning or the end and you'll be left with a number that is divisible by 7. For example: 1434945 Cross off the first three and last two to get 49. I have a proof of...