Interesting Definition and 790 Threads

Interest is a feeling or emotion that causes attention to focus on an object, event, or process. In contemporary psychology of interest, the term is used as a general concept that may encompass other more specific psychological terms, such as curiosity and to a much lesser degree surprise.The emotion of interest does have its own facial expression, of which the most prominent component is having dilated pupils.

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  1. A

    How Can I Find Tangents on a Surface Passing Through an External Point?

    Finding Tangents... Interesting ! Hello, I have an interesting problem for you. I have a surface & an external point which is outside the surface. I need to find the equation of all the tangents on this surface which pass through the external point. Regards, AtulSharma
  2. D

    A simple but interesting problem

    here is a relatively simple problem that is actually quite helpful and interesting. NOT HOMEWORK, i already have the solution, just a little problem for u guys. a small sphere is released from rest, and, after falling a vertical distance of h, bounces on a smooth plane inclined at an angle...
  3. K

    Exploring the Most Interesting Millennium Prize Problems

    Out of the millennium prize problems, what one do you think is the most interesting/important?
  4. J

    Interesting Particle Accelerator

    Hello All, I was doing some research on different particle accelerator designs when I came across this interesting patent here: http://www.google.com/patents?id=FkYxAAAAEBAJ&dq=3935503 They claim in the patent that the device, using a rotating magnetic field, has the capability of...
  5. P

    Interesting proof of sequence limit

    Prove that sequence x_n=\frac{n}{\sqrt[n]{n!}} is increasing and \lim_{n\rightarrow\infty}{x_n} = e My attempt: First, I try to prove \forall n\in N:\frac{x_{n+1}}{x_n}>1. \forall n\in :\frac{x_{n+1}}{x_n}=\frac{n+1}{n}\frac{\sqrt[n]{n!}}{\sqrt[n+1]{(n+1)!}}...
  6. W

    Interesting Finding: Solving f(a_0, n_0) for All Integers m

    I had a little insight, and I'm curious whether or not it's true. What I conjecture: Say we have a set of functions S = {f(a, n) = b_n * a^n + b_n-1 * a^n-1 + ... + b_0} where a and n must be both natural numbers, and b must belong to {-1, 0, 1}. Then for fixed a = a_0 and n = n_0, we...
  7. wolram

    Cosmology Challenges: Dark Matter, Dark Energy, Galaxy Formation

    http://arxiv.org/PS_cache/arxiv/pdf/0712/0712.2865v1.pdf New Frontiers in Cosmology and Galaxy Formation: Challenges for the Future Authors: Richard Ellis (Caltech), Joseph Silk (Oxford) Comments: To appear in "Structure Formation in the Universe", ed. Chabrier, G., Cambridge University Press...
  8. M

    Interesting ideas for extracurricular physics project

    Do you have some interesting ideas for extracurricular physics project - i am high school student, but i know basics of calculus and have very good knowledge in general physics...
  9. E

    News What is Life Like in a Socialist Society?

    http://video.google.com/videoplay?docid=-7955669901632007410 Edit: Apologies (and I won't let it happen again). Essentially it is just a short video of a Hungarian woman explaining her experience with socialism. I just think it gives one a look into what life life might be like in such...
  10. M

    Can satellites move in the opposite direction as the Earth?

    Well, geostationary satellites are satellites which moves around in the same manner as the earth. This is true. and the derivations indicates that the centripetal force are provided by gravitational force of the Earth on the satellite which causes the circular motion. However, the Earth...
  11. A

    Proving the conjecture for 53, 71, and 95: Is it possible?

    I have been trying to see how it can be proven that a power of 3 minus a power of 2 (or a power of 2 minus a power of 3) can give you every number which is not a product of 2 or 3. I just don't see how to prove it. Does it have something to do with the fact that you can get 1 as 3 minus 2? By...
  12. J

    Working on polystyrene & graphite composite, interesting effect(s)

    Dear Folks: I have been experimenting with composite conductor materials for a while, but have had little success with getting conductivity below 200 ohms/cm. Polystyrene gel is easy to make and offers recycling opportunities, so I have been using this as a starter binder. Found that if...
  13. Integral

    Agol, Interesting objects in Perseus.

    Great pointers Dave, that will be easy to find. Perseus is not that hard to see. It is one of the circumpolar constellations, so is pretty much always in the sky, northern hemisphere of course. Has anyone observed a blink of Algol? That is one of those things that I have always wanted to see...
  14. C

    How to Derive ((A>B)>A)>A Using Sentential Logic?

    [b]1. How do you prove, using SD, that ((A>B)>A)>A? [b]3. I tried to first assume (A>B)>A. Then I made a sub-derivation, assuming ~A. In this sub-derivation, I need to derive a contradiction. How?
  15. D

    Something interesting about magnets and weighing scales

    Hi, I got hold of a set of kitchen weighing scales which are made of some ferromagnetic plate and my neodymium magnets. So the reading on the weighing scales increases as you bring the magnet near the weighing plate, as expected... they then reach a maximum just before you touch the magnets...
  16. J

    Very interesting, a pyramid and sphere inscribed

    A pyramid ABCDS is given (the base is convex quadrilateral). A sphere is inscribed in this pyramid and it is tangent to side ABCD at point P. Prove that \angle APB + \angle CPD = 180^{o}
  17. Holocene

    Interesting Thought: We Never Physically Experienced the World Around Us

    We have NEVER experienced the physical world around us. Everything we have seen, have heard, have smelled, have tasted, have touched...has all be experienced from within our brains. You are NOT seeing these words on a computer screen in front of you, you are seeing these words INSIDE your brain...
  18. L

    Does a Dielectric Sphere in a Uniform Electric Field Exhibit Azimuthal Symmetry?

    Homework Statement A solid sphere is placed in an otherwise uniform electric field. Its upper half is made up from a material with dielectric constant e_1; the other half has dielectric constant e_2. The plane at which the parts of the sphere intersect is parallel to the uniform field at...
  19. G

    Research Topics in Physics, Math & Engineering

    Hey, I just wanted to know what people think are currently interesting research topics being investigated in the fields of physics, applied math , or engineering which involves math (obviously), new technology, and is very much applied in nature? Thanks.
  20. K

    An interesting Rotational Force Problem

    Hi all, thanks for reading. This is from my High school AP physics lab and I really couldn't figure out what to do we attempted to solve this by actually doing the lab instead of using math (which is what you are suppose to do) I would love to see the mathematical explanation of this. I...
  21. P

    What Forces Act on a Rod Stabilized by Three Fulcrum Points?

    Homework Statement There is a homogeneous rod stabilized on three fulcrum points. The separation of the fulcrums are of different distances. What forces act in the individual fulcrum points, if the mass of the rod is m? [The rod has to be stable, and hence the net force, torque = zero]...
  22. D

    Folium of Descartes - very interesting

    This is my problem: 1) Suppose that the function y = f(x) satisfies the equation x^3+y^3 = 3xy and is differentiable. Find a formula for the derivative y' showing it dependent on x and y. Well, I really don't know what to do but here goes... Is it y' = f'(x) = x^3+y^3 = 3xy Then i...
  23. Holocene

    Experiment with Interesting Light Wave Properties

    Find a fairly bright light source around your home, such as a lamp. The closer your eyes are to the lamp, the better you can see this. A couple feet should work well. Hold up each index finder so they are a couple inches apart, and place them only a couple inches away from one of your eyes...
  24. H

    Interesting new model(s) on the hierarchy problem

    From Resonance(s) http://resonaances.blogspot.com/2007/09/drowning-hierarchy-problem.html Extremely contrived, sure, but it actually does better than RS on a number of astrophysics constraints. Gia will give a talk at my university sometime this year, i'll be sure to get more details then.
  25. F

    How can you tell the difference between a raw and boiled egg?

    Hi This small video show you how to differentiate between a Raw and a Boiled egg in a very interesting manner ..enjoy http://www.metacafe.com/watch/809100/is_it_raw_or_boiled_enjoy_physics/ worthless link deleted Thank you
  26. T

    Interesting probability question

    Homework Statement Firstly, I'd like to point out that this question is a little left of field...but here it is anyway. Here is what Puck has to say at the end of A Midsummer Nights Dream If we shadows have offended, Think but this, and all is mended, That you have but slumber’d here...
  27. rootX

    Why Do New Members Surge on This Forum During This Season?

    I am really sorry for posting this general topic here :redface:; I couldn't find any other place. So, here's what I observered: The rate at which new people join this forum is exceptionally high during this time of the year. So, just wondering why?
  28. marcus

    Bee on Consistency and some interesting comments

    http://backreaction.blogspot.com/2007/07/consistency.html Bee took the time to write a thoughtful essay about general relativity and why you might or might not want to quantize it---and some broader thoughts about theories (what their limitations are, how you verify them.) Perhaps I am not...
  29. L

    Interesting number theory question

    Homework Statement For what natural numbers n is (10^n)-1 divisible by 73? Homework Equations N/A The Attempt at a Solution I have already found that it holds when n is a power of two greater than 8. (That means when n is great than 8, not the eigth power of 2) What other natural...
  30. K

    Is this Trig Identity really an identity?

    The textbook states something along the lines as prove the identity. 1 - ((sin^2x)/(1+cos x)) = cos x If you want you an work this out algebraically relatively easily to get cos x = cos x. But what if you put pi back into the original equation? You get 1 - undefined = cos x. So I graphed...
  31. M

    What Time Do Clock Hands Align After 2:00 PM?

    1. The A mathematically inclined friend emails you the following instructions: "Meet me in the cafeteria the first time after 2:00 p.m. today that the hands of a clock point in the same direction." When should you meet your friend? 2: : (hr : min : sec) I have attached my attempt at a...
  32. A

    How Fast Does the Dog Run in This Intriguing Math Puzzle?

    "Yes, when I take my dog for a walk," said a mathematical friend, "he frequently supplies me with some interesting puzzle to solve. One day, for example, he waited, as I left the door, to see which way I should go, and when I started he raced along to the end of the road, immediately returning...
  33. daniel_i_l

    Can a Chain of Links Form as Many Triangles as Its Length?

    If you have a chain of links of equal lengths whose ends are connected (so that it forms a loop) then by holding three points and "pulling" them outwards different triangles can be formed. For example, with a chain that has three links 1 triangle can be made. With 4 links no triangles can be...
  34. R

    Most interesting state in the USA?

    Which state in the USA is the most interesting one to live in, in terms of having things to do and see?
  35. C

    Interesting integral property

    so I'm having trouble with an integral. However I noticed an interesting property to it.int{gdu}=c*int{gd^2u} with the integral being from -infinity to positive infinity. The problem arose while I was trying to solve the schroedinger equation in the presence of a potential, I'm trying to...
  36. S

    Proving 10+100+1000+10000+100000+...=-(1/9) - Any Ideas?

    we have to prove that 10+100+1000+10000+100000+...=-(1/9) any ideas?
  37. A

    Why Inertia is so interesting?

    Hi... Many times I have read articles about how strange inertia is and that no theory we have so far can not explain it etc. However I don't see that problem with it. What is so weird on inertia? It seems to me as normal thing that if some reference frame accelerate the particles in this...
  38. U

    Does Gravity's Speed Affect Paper Falling During a Clap?

    Greetings, I learned that the speed of gravity is the speed of light as einstein predicted that once the sun disappears, the Earth would not instantaneously fly out of its orbit but only after an approximate 8 mins then the Earth would spin out of its gravitational field tangent to the circle as...
  39. J

    Interesting problem - movement of dialectric

    This is a problem was thinking about. If I have a capacitor and fill it with a dialectric of some dialectric constant (the dialectric fits perfectly and is mounted via a frictionless bearing so it can move freely). How fast does it move?
  40. R

    Geometry (an interesting question with a hard proof)

    Homework Statement There are n > 3 points in the plane such that any three of the points form a triangle of area \leq 1. Show that all n points lie in a triangle of area \leq 4. Homework Equations None. The Attempt at a Solution This is hard to discribe since it is...
  41. N

    A very interesting post by Lubos Mott

    http://motls.blogspot.com/2006/12/lorentz-violation-and-deformed-special.html
  42. K

    OR Gate Circuit: What is the Function of Diodes?

    I don't like electronics at all.However,it's an interesting question.For OR operation standard circuit,there are two diodes which are forward biased in 1-1 state.I cannot draw the circuit here;but anyone familiar to the circuit undearstands that even if the two diodes were not there, the OR...
  43. V

    How was Fermat's Last Theorem Proved?

    Interesting lemma If P.Ferma knew the proof of the following lemma "Lemma. If numbers a, b, c, have no common factor, numbers c-a and c-b are also mutually-prime and n is odd, then the numbers (c^n-a^n)/(c-a) and (c^n-b^n)/(c-b) are also mutually-prime", then with its aid it is possible to...
  44. I

    Creating a Realistic Virtual Universe: An Astrophysics Problem

    Hi, I was wondering if anyone could give me some advice as to how to go about this. This seems like it might fit under more than one discussion category, but astrophysics seems like it might be the best place. I'm a programmer, and what I am trying to do is to write some software to generate...
  45. T

    What are the general equations of geodesics on a cylinder's surface?

    Find a general equation of geodesics on cylinder's surface. What's the name of these curves? :cool:
  46. Mentz114

    What Is the Period of This Particle's Motion in the Given Oscillator Potential?

    Hi Everyone, I think I've solved the equations of motion for a particle in this one-dimensional potential - V(x) = -k/(a-x) - k/(a+x) with |x| < a, a is real +ve, x is real. K is a constant of suitable dimension. It's a charge between two like charges with separation 2*a. I start...
  47. N

    Interesting quotes by Feynman, da Vinci and Davies

    I have some quotes from various books I have read recently, that I would love to hear your thoughts on: Richard Feynman: "All these [chemical] rules were ultimately explained in principle by quantum mechanics, so that theoretical chemistry is in fact physics. On the other hand, it must be...
  48. C

    Can a Rope Stay in Orbit After Rocket Launched?

    Interesting Question... If I were to tie one end of a rope (a very very long rope) to the ground and the other end to a rocket, and fired the rocket into space, would the rope stay in orbit without falling back down to earth? Assume once the rope was fully vertical that the rocket was...
  49. drphysica

    Hey guys I have an interesting topic for all of you who interested

    Hey guys I have an interesting topic for all of you who interested. From the EPR paradox we know that principle of non-locality indeed exist and yet it is suggests that information cannot be transferred between A and B due to quantum mechanics uncertainty principle since information gets...
  50. N

    Matter being created from calorie intake? Interesting discussion

    Today my wife and I got into a little discussion on calorie intake and weight gain. A dietitian will tell you that if you take in an extra 3500 calories a day in your food, you will gain an extra 1lb if you do not burn off that 3500 calories. This is usually true, since there is no food out...
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