Term Definition and 775 Threads

  1. H

    Are there any short term courses available on aerodynamics?

    Can some1 tell me r there any short term courses available on aerodynamics or can anybody refer me a good book...
  2. F

    How does the second term in a quadratic, bx, affect the graph?

    How does the second term in a quadratic, bx, affect the graph?
  3. B

    Osteoporosis Effects Short Term vs Long

    Homework Statement This is starting to get a bit trick because of mixed information. Anyways, does anyone know the effects of osteoporosis in terms of short term versus long term? Homework Equations N/A The Attempt at a Solution Spine fractures caused by osteoporosis are likely...
  4. C

    Can You Find the Coefficient of a Specific Term in a Polynomial Expression?

    Homework Statement What is the coeff of x^{99} in (x-1)(x-2)...(x-100) 2. The attempt at a solution This has to do with the binomial coeff. I don't know how to go about it.
  5. A

    What is the origin of the term sine?

    Origin of the term "sine" It is well-known that "sine" comes from the Latin word "sinus", meaning a "fold", or a pocket. However, its reference to the length of the half-chord on the unit circle remains still rather obscure. I recently came over an explanation that makes perfect sense...
  6. D

    Malus Law - Cosine squared term?

    this is just a general trig question: We are going over Malus law in physics; the formula is this: S = s*cos^2(theta) My question is about the cosine squared term in the equation. does this simply mean take the cosine of a number and square it? in other words would this be the same thing...
  7. M

    What Is a Neutral Term for Nonreligious?

    One division of the worlds population can be that one is either religious or nonreligious, but nonreligious is thus defined by the absence of something else, which is perhaps not the most politically correct statement. Another example where this have been applied to some extent is in...
  8. A

    What is the Error Term for Computing the Limit of a_n=n^(1/n)?

    Homework Statement Compute the limit a_n=n^(1/n) without using the fact that lim log a_n=log lim a_n. Instead, we're expected to solve this using binomial theorem and the error term. Homework Equations na The Attempt at a Solution Well, the error term = |a_n - L| which is...
  9. R

    Engineering One Term is missing for Circuit Analysis Help to Solve it?

    Homework Statement Find I_0 using Nodal Analysis. http://img263.imageshack.us/img263/394/untitledph7.png I'm kind of lost for where my box is on the upper right corner. I don't know how to model the 20v Vsource as a current... can you even do that? I've done the other nodes, though I'm not...
  10. A

    Definition for the term gauge symmetry

    Could somebody please give me a definition for the term gauge symmetry in contrast to any other symmetry? Is the decisive difference that a gauge symmetry is local i.e. a function of the coordinates in contrast to being constant? I would also appreciate it if it could be pointed out how the...
  11. F

    Why Is the Source Term Crucial in Differential Equations?

    Hello everyone, my question is regarding the source term in ODE and PDE. If the region where the phenomenon (wave field, temperature,...) is observed is circumscribed to a volume not containing its source, then the differential equation becomes homogeneous (no source term) and easier. So...
  12. E

    What is the next term in this sequence? E1 O2 E3 R4 E5 X6

    What is the next term in this sequence? E1 O2 E3 R4 E5 X6 N7 T8 ___
  13. T

    Geometric sequence, determining the value of the first term

    question - if the 3rd and 9th term of a geometric series with a positive common ratio are -3 and -192 respectively, determine the value fo the first term, a. I kno we using a_n=a_1r^n-1 From that i got this : -3 = a_1r^2 -192 = a_1r^8 But I don't kno how I can solve for r or...
  14. M

    Geometric progression, is this correct? ratio/first/next term

    Hello everyone, I'm trying to solve the following: If n is an integer and n > = 1, find a formula for the expression 2^n - 2^{n-1} + 2^{n-2} - 2^{n-3} + ... + (-1)^{n-1} * 2 + (-1)^n okay this confuses me, because I'm not sure which is the first term and which is the last term... I...
  15. A

    Understanding Time-Dependent Perturbation Theory's 2nd Order Term

    Time dependent perturbation theory... second order term... For some reason they replace <E_{n}|H_{0}^2|E_{m}> with \Sigma<E_{n}|H_{0}|E_{i}><E_{i}|H_{0}|E_{m}> I know why they are allowed to do this, what I don't understand is how it makes my life better?
  16. A

    What the term virtual particles referred to

    what the term "virtual particles" referred to I wanted to know what the term "virtual particles" referred to. I found many "descriptions" of them on webpages. Fine. Then I went to the index of many advanced QM books, and the term "virtual" doesn't really show up as prominently as I thought...
  17. K

    Does the Einstein -Hilbert Lagrangian has a potential term?

    If you can derive the Eisntein equations from: L=\int_{V} d^{4}x\sqrt (-g)R but does L has a potential term so we can do Qm with it?..:confused: :confused:
  18. Cyrus

    Is Failing a Midterm the End of the World?

    Today I BOMBBBBBBBBBBBBBBBBBBED my electronics mid term. I think everyone did. I hope everyone does horrible and fails so my F becomes a B. That test was stupid, wayyy too long and hard. Multiple choice too. I had to guess a few at the last 30 sec and just put something down. I am so...
  19. L

    Why Does Geometric Sequence General Term Formula Use n, Not n-1?

    do you have an explanation to why sometimes the general term formula for geometric sequence is not raised to n-1 but to simply n?
  20. G

    Uncertainty Principle in term of Angular Momentum

    I need to prove that the uncertainty principle can be expressed in the form delta L * delta theta = hbar/2 where delta L is the uncertainty of the angular momentum and delta theta is the uncertainty in angular position. I know that L = m*v*r and I think I can express theta as x/r...
  21. E

    Can Time Actually Stop at the Event Horizon of a Black Hole?

    Hi all, Just looking for a kick in the right direction, I'm in a third year physics (for non physics and astro majors) Which deals with the basics of astronomy through Newtonian physics, Einstein's relativity black holes and eventually into the big bang, early universe etc. Our term project...
  22. M

    How Is the Error Term Derived for Simpson's Rule?

    Hi can someone help me find a derivation of the error/remainder term for simpson's rule? None of the 3 math reference textbooks I have at home contain it.
  23. Z

    What's the correct term for it?

    How do we call such relation between mappings f:A->A and g:B->B when there exists one-to-one mapping h:A->B such that for any a from A f(a)=g(h(a))? Example. f: {T, F) -> {T, F} where f(x) = not x g : {0, 1} -> {0, 1} where f(x)=1-x h: {T, F} -> {0, 1} where h(T)=1...
  24. F

    Angular frequency descriptive term

    Is there a descriptive term for an angular frequency that is always equal to 2Pi, differing only by a tens multiple or division? Equivalently, is there a descriptive term for the wavelength associated with the above value. Dividing any tens multiple or division of 2Pi into the speed of light...
  25. M

    Name that Mathmatics term (Periodic blank )

    Name that Mathmatics term (Periodic "blank") I have no idea what the english term for it is. As a result it is more-or-less impossible to find something about it online. One can give the equation for a sine kurve simply by looking at the graph, taking values such as the amplitute, period...
  26. A

    What is the next term of the given sequence...

    What is the next term of the given sequence.. 1,4,9,61,52, 63, 94, 46, 18, 001, 121, 441, 961, 691, 522, 652, ...(?)
  27. C

    Is There Long-Term Value in the Continuation of Life?

    This is my first topic post here so be gentle. I have a problem with the meaning of life. I don't mean my life, I know that my life on its own is pretty pointless anyway. What I am talking about is the meaning of the string of lives that make the intelligent existence of our universe...
  28. C

    What is the General Term for an Expansion?

    Hi guys, can anybody solve the following problem? http://putfile.com/pic.php?pic=main/8/22412435578.jpg&s=f10"
  29. M

    Can Polynomial Sequences Be Predicted Without Knowing the Equation?

    Hello, About sometime ago, I came up with the following results, which might seem useless but it is very interesting from my point of view, I'd be glad to have your comments,:smile: Thankyou. ______________________________________________________________ I’ve found that there are...
  30. H

    Find the rth term of this sequence

    Given a sequence: 3,33,333,3333,... Find the rth term of this sequence. This sequence does not belong to Geometry Progression or Arithmetic Progression. From what I know, rth term is equals to (r-1)*10 +3. But how do I solve this problem?
  31. B

    Explanation for term in formula, QFT

    Hi I've got a question about a term in a formula I've found in Mandl&Shaw's QFT book It's about equation 2.18 on page 31 L(t) = {\sum_i \delta \bf{x}_i {\cal L}_i \ ... Why is there a delta x_i when summing over all lagrangians for getting the lagrange-function for the whole...
  32. T

    How Can One Prove a Function Lacks an Elementary Antiderivative?

    It sounds a bit strange in English (although we have the term in Dutch), so I'm not sure whether this is a generally known/used mathematical term: 'primitivable'. If not, it just comes down to find a primitive function F of f, so that F'=f. Specifically, I'm wondering about primitive functions...
  33. A

    I forget a term and it's pissing me off

    In evolution, the definition is something along the lines of: When one individual increases the fitness of another individual either directly or indirectly, at the cost of decreasing its own fitness. (many argue there is no true form of this) By the way, it is not related to symbiosis in...
  34. A

    Expand the quadratic term for resistance equation

    I said that A\ell=A_{\textrm{new}}\ell\left(1+\frac{x}{100}\right)\implies A_{\textrm{new}}=\frac{A}{1+\frac{x}{100}}. Also, we know that R\propto\frac{\ell}{A}.. Therefore, R_{\textrm{old}}\propto\frac{\ell}{A} R_{\textrm{new}}\propto\frac{\ell\left(1+\frac{x}{100}\right)^{2}}{A}...
  35. Pengwuino

    Mathematica Physics and the 'i' (mathematical term)

    Do imaginary numbers ever manifest themselves in the physical world as we know it? And when I say that, i mean do they ever appear in solutions to problems that we know have physical meaning and aren't in the solutions or derivations purely as mathematical shortcuts? Hopefully this question...
  36. A

    When to use term Rotational motion and Circular motion?

    Some times it becomes very difficult to differenciate between Circular motion and Rotational motion.Can anyone tell me to understand clearcut diff. between the two?
  37. matthyaouw

    What Is Essay-lag and How Does It Affect You?

    Essay-lag. Derived from "jet-lag". The disturbed sleep pattern resulting from late nights & early mornings, or no sleep at all in the days preceeding a project deadline. Anyone else care to suggest a new word we could use?
  38. A

    Taylor Expansion Hints: Find First Non-Zero Term of x = 0

    Can anyone please give me a hint on any of the following Taylor expansions? That would be so helpful! for all three: Find the first non-zero term in the Taylor series about x = 0 problem 1 \frac{1} {sin^2x} - \frac{1} {x^2} everytime I differentiate the result is zero...so that...
  39. N

    Trouble finding a general formula for the nth term

    Im having trouble finding a general formula for the nth term for the sequence {1, 1/2, -1/6, -7/24, 1/24, 7/48, -19/336, -503/4480, 17257/362880, 12913/145152,...} if one exist so far I am guessing that n! has something to do with it a hint would be super cool!
  40. R

    Did Einstein like the term Relativity ?

    Did Einstein like the term "Relativity"? I know that Einstein referred to “Relativity” when he wrote or talked about his theories, but is it true that Einstein was not originally fond of the term “Relativity” to describe his theories by that name? I have found in a couple German publications...
  41. Pengwuino

    History Topic for term paper: Important figure in pre-CW American history

    Ok I need me some super help. I have a term paper due next monday and things have just been piling on me like there's no tomorrow so I am barely getting a topic as we speak :cry: :cry: :cry: . So I need some suggestions here. I need an important figure to do a report on that was famous or...
  42. G

    What's each term in a product called?

    Just out of curiosity: What's each term in a product called? ie the product equivalent of a summand? Thanks :smile:
  43. K

    Direct way to calculate nth term of cyclically repeating function?

    "cyclic functions" may not be the correct term, but I don't know what else to call them. (only have basic high school math training, no calculus) Here's what I'm looking for. Given the following series of functions f(a) = b (step 1) f(b) = c (step 2) f(c) = d (step 3) ...
  44. W

    What is the Damping Term of a Photon?

    Typically photon attenuation is determined by the equation I = I_0 \cdot e^{ - (\mu \cdot z)}. The variable mu is the linear attenuation coefficient and z is the distance traveled through the substance of transport. Is it safe to say that I_0 \cdot e^{ - (\mu \cdot z)} is the damping term of...
  45. Reshma

    Evaluating the Second Term of Integration by Parts for $\delta (x)$

    Show that x \frac{d(\delta (x))}{dx} = -\delta (x) where \delta (x) is a Dirac delta function. My work: Let f(x) be a arbitrary function. Using integration by parts: \int_{-\infty}^{+\infty}f(x)\left (x \frac{d(\delta (x))}{dx}\right)dx = xf(x)\delta (x)\vert _{-\infty}^{+\infty} -...
  46. P

    What is the term CHO in food science?

    I was reviewing a basic food science lecture slide and came across the term CHO in the middle of it on slide 26-28. But there is no explanation of what it is (what it stands for). The lecture was a basic introduction on carbohydrates. Anybody know? The information on the slides are below...
  47. Lisa!

    Discussing the Impact of this Term

    What do you think about this term?
  48. O

    How Do Term Symbols Reflect Electron Spin States and Degeneracy?

    Hi! I've finally made some effort to understand spectroscopic term symbols (^{2S+1}L_J) and after having thought a few times that I'd understood but then running into trouble again, now I'm fairly convinced that I got it right. But some things bother me though. Apparently I was locked too...
  49. J

    How to differentiate a three term function?

    I know this is how to differentiate a funtion consisting of two terms: f(x)=xy , f'(x)=x'y+y'x But is this how to differentiate three terms: f(x)=xyz , f'(x)=(x'y+y'x)+(y'z+z'y)+(x'z+z'x) :confused:
  50. P

    What are the Long-Term Trends of a Matrix in Algebra?

    hi, first-time user here although this question deals with algebra, I feel that it pertains to matricies and probability more basically, how do i find long term trends of a matrix with algebra? ex. 2 competing soft drink companines cola A, and cola B presently have 1/3 and 2/3 shares...
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