Interesting Definition and 790 Threads

Hello, I am practicing for the INternational Physics Olympiad qualifier and I was working on a practice test when I stumbles across what seemed like an easy problem. I thought It was super-intuitive, but I can't seem to verify a correct answer with the multiple choice selection. Here's the...

The entire text is taken from the following website: http://math.ucr.edu/home/baez/physics/Relativity/SR/mass.html Has there ever been proven in practice that mass of an physical object/particle does indeed increase with its velocity? Here is the text copied from the website(written above)...

Let n be a positive integer and suppose f is continuous on [0,1] and f(0) = f(1). Prove that the graph of f has a horizontal chord of length 1/n. In other words, prove there exists x \in [0,(n - 1)/n] such that f(x+1/n) = f(x)

I saw Doom the movie last night and there was an interesting concept in it. They said that an artificial 24th pair of chromosomes was created to manufacture greater beings, they were basicly far more superior. And I thought, is this possible? Could chromosomes be added or change to make a...

Hello, everybody! I'm a Maths/Physics student at Ecuador. Sorry if my English sucks, i'll try to do my best... Some fellow Physics buddy asked me if there was a way to fin a complex number that would be equal to its exponential... it is a very simple question to understand, but not to easy to...

but I found a short clip of the upcoming: SAW II. http://ghostengine.com/saw2/saw2_intnl_700.html and the forums are here: http://www.houseofjigsaw.com/board/forumdisplay.php?f=3

I am not too sure where to post this, but i suspect that it is mechanical so here goes... Not too long ago, i read a book about by Richard Feynman and came upon this puzzle. If you twist a metal tube to form a 'S' shape, then pivot the tube in the center. Next connect a water hose to the...

This man claims to have seen bigfoot, and he has drawn many pictures of it: http://www.fisheadtackle.com/Bigfoot.html I think the drawings are fun. http://www.fisheadtackle.com/bf-FACE992.jpg

I came across this puzzle a while ago and recently recalled it but couldn't come up with any solid solution/explanation. What are your thoughts? I want to choose one day, in a five day window (we'll say monday to friday), on which an event will occur. (For simplicity of interpretation and...

Interesting guy, what do YOU know?

Well, I'm in high school. I want to be a physicst but arent physicst engineers? I want to be able to use calculus and mathematics to design individuls computer parts, especially the chip CPU for portable gaming systems. Like the PSP, a marvel of technology I'm a senior in high school. Today a...

Very simple in writing, but hard to solve: x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2) :-p

In the HW section, someone proposed: u^2\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=0;\quad u(x,0)=x As per "Basic PDEs" by Bleecker and Csordas", treating this as: F(x,y,u,p,q)=0\quad\text{with}\quad \frac{\partial u}{\partial x}=p\quad\text{and}\quad\frac{\partial...

Hi, I didnt know where to exactly put this thread (since it is partially high-school related) so I put it here. Im in my last year in high school at the moment and want to learn some maths that you don't ordinarily do in high school - something offbeat or such. I am really not sure where a...

Hello all Genius people, how r u .This question might be easy for u but i am not able to solve this question.Can anybody of u tell me to solve this problem in detail.I will be very thank ful to u .please please solve in detail.i have spent 2 days just thinking about this question but i was not...

Hi, I am a grade 12 physics student and my teacher asked us the following question: You have a perfect balance scale, with two identical hourglasses on each end. They each have the exact same amount of sand in them. However, one (hourglass 'A') has all it's sand in the bottom, while the...

can anyone explain the behaviour of this function? i looked at the graph and everything, but if i solve it one way i get a different answer than if i solve it another way. Ln[(x+1)^2]=2 one way to solve it (What i did) e^{Ln[(x+1)^2]}=e^2 (x+1)^2=e^2 (x+1)^2-e^2=0...

I just received in the mail an unsolicited examination copy of The Quantum Challenge: Modern Research on the Foundations of Quantum Mechanics (2nd ed.), by George Greenstein and Arthur Zajonc (Jones and Bartlett, 2006 :bugeye: ). I haven't had a chance to do more than skim through it yet...

Hello, I tried to model and answer this question, but I didn't get success. Could someone help me ? Question: A California driver decides that he must switch lanes every minute to get ahead. If he is on 4-lane divided highway and does this at random, what is the probability that he is back...

From the Investment savingings model (IS) equation GDP (Y) is a function of consumption C, Investment I, and government spending G Y=C(y,r)+I(r)+G Consumption is a function of disposable income (income minus tax. national income is also the same as GDP) y which is y=Y-T and the interest...

This paper (with some actual math...surprise!) is in very close agreement with the polarized-ZPE model that I have been working on for a while. It treats gravity and inertia as emergent, not basic, qualities, and although it does not address the mechanics of vacuum polarization, I believe that...

http://www.windmillworld.com/uk/chesterton.htm http://www.roman-britain.org/places/chesterton_on_fosse.htm The wind mill over looks the roman fort site. With permission to search i have found roman coins around the mill. The site is about three miles across country from where...

A snake with a little more than 4 meters takes a walk for the forest in the following way. After to walk 1 meter in definitive direction it decides aleatoriamente if she capsizes for the left or if she capsizes for the right or if she continues in the same direction, independently of the...

Can someone help me? Why the argument is false ? In this problem you must explain the results in intuitiva way. One formal prove or verbal description of a prove is not satisfactory answers. 1) It considers the following events: A: To get one 6 in four throwing of a die; B: To get one...

How does one proceed to solve an equation of the form: a^x + x^b = c Where x is the unknown (real or complex) and a, b, c real constants. Or at least if you know a line of attack.

I've always been interested in unusual phenomena in conscious experience-- events in consciousness that are novel, surprising, sublime, or just plain strange with respect to the normal waking consciousness in which we are usually ensconced. In the interest of exploring this topic, I'd like for...

There is a theroy that universes "reporduce" through black holes, and that part of the criteria that requires this also by coinsidence produces conditions that make life possable. Discussion questions: What happens if two black holes merge? If intellegent life creats many tiny black holes...

One end of a rubber band with a length L is attached to a wall. The rubber band is held horizontally and the loose end is pulled away from the wall at a speed v, stretching the band. Simultaneously, an ant begins to crawl away from the wall along the rubber band with a speed u < v. Assume that...

Check out that pic I guess Google'll put anything there these days.

! question... Why does lnX!=XlnX-X?

this was an interesting IRC convo: http://www.scienceforums.net/forums/showthread.php?t=13142

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...

hey u lil smart asses, I have to start a really important project in like 2 days, (extended essay for those ex ib) and i have to investigate on airfoils in a wind tunnel, basically i have a lot of choice. I thought I could design a four-digit naca airfoil (tho it seems really complicated)...

hey all of you lil engineering smart asses, I have to start a really important project in like 2 days, (extended essay for those ex ib) and i have to investigate on airfoils in a wind tunnel, basically i have a lot of choice. I thought I could design a four-digit naca airfoil (tho it seems...

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