Apply Definition and 508 Threads

In mathematics and computer science, apply is a function that applies a function to arguments. It is central to programming languages derived from lambda calculus, such as LISP and Scheme, and also in functional languages. It has a role in the study of the denotational semantics of computer programs, because it is a continuous function on complete partial orders. Apply is also a continuous function in homotopy theory, and, indeed underpins the entire theory: it allows a homotopy deformation to be viewed as a continuous path in the space of functions. Likewise, valid mutations (refactorings) of computer programs can be seen as those that are "continuous" in the Scott topology.
The most general setting for apply is in category theory, where it is right adjoint to currying in closed monoidal categories. A special case of this are the Cartesian closed categories, whose internal language is simply typed lambda calculus.

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  1. A

    Apply the law of conservation of energy to an object

    Homework Statement Learning Goal: To apply the law of conservation of energy to an object launched upward in the gravitational field of the earth. In the absence of nonconservative forces such as friction and air resistance, the total mechanical energy in a closed system is conserved...
  2. P

    Second Physics REU: Not sure if I should apply.

    Hey, I'm a physics and mathematics major 1.5-2 years into my degree and I am not sure if I should apply to some of the NSF Physics REUs. Mainly because I am not sure if I am a good candidate. I was lucky enough to get a NSF Physics REU at another University at the end of my freshman year...
  3. U

    Does gravity apply at very short distances?

    What happens to gravity when something is very very dense but not a black hole? Do parts of it still attract each other as in less dense objects, ie according to the same inverse square law?
  4. marcus

    How extensions of relativity apply to quantum gravity (Coin's gambit)

    Coin raised a cluster of interesting issues for discussion, which need a separate thread. (If we addressed them in the QG links thread it would interfere with its bibliography role.) So I'm copying his post here:
  5. T

    Apply Normalization condition in QM problem

    a.) Apply Normalization condition for the n=3 Ѱ-solution to find constant B. b.) Find <x> c.) Find <p> d.) Calculate probability that particle of mass m is located between 0 and a/2. Given: Ѱn(subscript)(x) = Bcos(n*pi/a)x Solution to ∞ square well from -a/2 to a/2 (Width "a"...
  6. B

    Schools How many grad schools should I apply to?

    Assuming that I have enough money for all the application fees (I do), how many grad schools should I choose to apply to? I am looking to do high energy theory (with an aim toward GUT). After some research into good programs in places I would actually like to live (after moving to California...
  7. ~christina~

    Apply conservation of momentum to the collision

    Homework Statement 2 automobiles of equal mass approach an intersection. One vehicle is traveling with a velocity of 13.0m/s toward east and other is traveling north with a speed of v_2i . The vehicles collide at the intersection become stuck together and leave parallel skid lines at an...
  8. E

    GRE subject math scores and places to apply

    I am an Italian graduate in Mathematical Engineering (with a converted 3.97 GPA, 4.00 GPA in Math courses), and I am willing to pursue a PhD degree in pure mathematics. Since I had very good GRE and toefl scores (720 V - 800 Q - 4.5 A for the GRE, 115/120 Toefl), I have good recommenders, and...
  9. A

    Is there a formula I can apply in this case?

    ok, I'v never been on a physics site before but thought I'd look for one for help on this question... also forgive me but I probably won't be using proper physics terms... object A at a constant mass & speed is struck by object B which has a mass 5x that of object A and a speed 2x that of A. the...
  10. M

    I'm about to apply to U of Illinois in civil engineering.

    I'm a senior in high school and I live near the University of Illinois so I'm going to go there next year assuming I get accepted and everything. I'm not too passionate for anything but I like math and science so I figured engineering might be good. If I find out engineering isn't for me but I...
  11. I

    Can anyone tell me that Ohm law apply on Transformer or not?

    Question: Can anyone tell me that Ohm law apply on Transformer or not? Thanx.
  12. B

    Is mgh Always Applicable for Calculating Gravitational Potential Energy?

    I don't have an exact question here. But for example, there is a 10kg mass at a distance of 2R from the centre of mass of the Earth. It's gravitational potential energy is equal (or so it's been preached by teachers) to mgh. The local gravity at 2R is approximately 2.5ms^-2. So let's say the...
  13. T

    Where Should I Apply for Graduate School in Condensed Matter Experimentation?

    I am applying to graduate school this fall and would like to know where to apply. I am interested in condensed matter experimentation. What programs are good? Which ones are getting the most attention? Is a smaller less prestigious school with some interesting experiments worth my attention...
  14. K

    Can we apply 'Quantization' only from motion equation ?

    Can we apply 'Quantization' only from motion equation ?? Supposing you have the equation of motion (in terms of momenta and position) F(\dot p_{a} , q_{a})=0 then can you obtain the 'Quantum analogue' without the intervention of the Lagrangian ? and another question could we regard...
  15. S

    How far does the Pauli Exclusion Principle apply?

    We know that two particles can't exist in identical quantum states in the same place, fair enough. However, no particle can be sitting directly on top of another to infinite precision. Therefore, you can always say they're some minimum distance away from one another. Now suppose you have...
  16. L

    Should you always apply the rules of significant figures?

    Should you apply the rules of significant figures when you are doing any kind of physics, chemistry, or mathematics computation? Like, for example if you are doing homework problems in your textbook, should you still follow the sig fig rules or should you only apply them in labs and measurements?
  17. G

    MATLAB Matlab: How to apply filters to and ECG signal using matlab?

    i need to apply a low pass and high pass filter, as well as a band pass filter, to a plot I've made using MATLAB does anyone know how i can do this?
  18. P

    When conservation does not apply

    im just talking in general about conservation of linear momentum, angular momentum, mechanical energy, etc. So, for angular momentum, if angular momentum is constant, then initial angular momentum = final angular momentum. But, what if there is a net torque? How do you take that into...
  19. Q

    Does inertia apply to everything in the universe? Even subatomic?

    Does inertia apply to EVERYTHING in the universe? Even subatomic particles? Or is there a certain mass limit where something no longer has the property of inertia?
  20. Evo

    Think Before Blogging: Career & Academic Risks

    We often don't realize how something said online can affect a person's career and/or academic life. After seeing a spate of members admitting to illegal behavior here on the forum, I thought it might be an eye opener to let people understand that what they put online could affect their...
  21. S

    Does Superposition Theorm Apply to power?

    Does it, or is that current? (sorta yes or no answer I guess)
  22. W

    Apply the concept of relative velocity

    I cannot understand how to apply the concept of relative velocity in certaijn questions like the below one the question is Two trains A and B of length 400m each are moving on two parallel tracks with a uniform speed of 72km/hr in the same direction with A ahead of B The driver of B decides to...
  23. B

    Does "What You Don't See" Apply to Special Relativity?

    Does " What you don't see with your eyes, don't invent with your mouth" does work in special relativity?:smile:
  24. A

    How to apply e=mc^2 to a photon?

    Hey can sum1 please tell me if we can apply e=mc^2 to a photon? Also if the energy of a photon is relative and speed of light isn't relative and e=mc^2*lorentz factor then how is energy of a photon relative in the above Case?
  25. X

    How Would You Apply Newton's Laws With Rock Climbing?

    Applying Newton's Laws With Rock Climbing How Would You Apply Newton's Laws With Rock Climbing? ?
  26. F

    Schools Should I Apply for Grad School with a Low GPA in Physics?

    I'm about to graduate next Fall and I'm stuck on deciding whatever to apply to grad school or not. I'm a physics major ATM and would like to go to grad school for physics but that doesn't seem to likely. I only have about a half a year of research experience (probably about 1.5 years by the time...
  27. P

    Apply kinetic theory to solids and liquids?

    My chemistry textbook tries to explain the properties of solids and liquids with the kinetic theory. Is this not good? Should only gases be explained by the kinetic theory since one of the postulates in this theory is that particles exert no forces on each other. The book had to disable this...
  28. N

    What magnitude of force must the worker apply to move the crate

    hi I'm new here i wanted your help in solving these two questions i tried several times to solve them but the computer kept showing that the amswer is wrong ((on mastering physics site)) so please i need the answers to those problems and fast because the chapter will be closed in an hour. 1.A...
  29. Z

    Help: Apply tension into equation for multiple pulleys

    I have this problem for homework. Find the magnitude of the minimum force F that allows the window washer to move upward. Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g. The professor didn't go over multiple pulleys though so I am...
  30. L

    Expanding f(x) in Legendre Polynomials: Applying the Transformation u = x/2

    I wish to expand f(x) = 1 - \frac{x^2}{4} , -2 \leq x \leq 2 in terms of Legendre polynomials. I know that the transformation u = \frac{x}{2} maps the function onto the interval (-1,1), but how do I apply this transformation? Should I use g(x) = uf(x) or maybe g(x) =...
  31. quasar987

    When to apply the ideal gas law PV=nRT

    Is the formula only applicable during quasi-static processes? In other words, is it only true for a gaz at equilibrium?
  32. M

    Confused on how to apply THe Unique factorzation Theorem

    I'm having troubles applying this theorem. IT states Given any integer n > 1, there exist a postive integer k, distinct prime numbers p1,p2,...,pk, and positve integers e1,e2,...ek such that n = p1^(e1)p2^(e2)p3^(e3)...pk^(ek), and any other expression of n as a product of prime numbers is...
  33. J

    Can we apply L'Hopital rule to 4/0 form?

    1) Can we apply L'Hopital rule to the 4/0 form? eg \lim_{x\rightarrow 0} \frac{x+4}{x^2} =\lim_{x\rightarrow 0} \frac{1}{2x} =0 2) we know that 0/0 is indefinite form, but is 4/0 indefinite form?
  34. K

    Electromagnetic apply to aerospace.

    I am not sure which subforum to put this in. Well my questions are. Question 1 Explain the nature of the electromagnetic radiation ( The electromagnetic spectrum ). Include all forms of e-m radiation and applications to aerospace. Question 2 Comment on the physical characterstics of...
  35. M

    Can i apply the same technique as I did with real solutions? D.E. 2nd order

    Hello everyone! I had a question, I solved a problem very similar to this one but it has 2 real soltions which took the form of: y (x) = Ae^rx + Be^(rx) But now i have repeated roots: y(x) = e^(rx)*(A + Bx); HEre is the problem: Find y as a function of x if x^2 y'' - 11 x y' + 36 y =...
  36. M

    The Who Must Apply the Larger Force to Sweep?

    The Queston To people are sweeping the floor using identicle brooms. They each clear off the same area and in the process, do the same amount of total work. One persons holds the handle at 15 degrees above the floor, while the other hodlds the handle at 35 degrees above the floor. Which...
  37. J

    Does natural selection apply extra-galactically?

    Does "natural selection" apply extra-galactically? Would the rules of natural selection (in this Universe, but possibly in a different galaxy) still apply? In that regard, how might they differ? Basically what I'm driving at is, if we were to encounter life outside Earth who popped in...
  38. N

    Apply the law of conservation of energy to determine the ball's speed

    What formula would I use to solve for a and b? A 0.20-kg ball is held at rest 2.2 m above the ground, and then it is dropped. Apply the law of conservation of energy to determine the ball's speed after it has fallen (a) 1.1 m and (b) 2.2 m. Ignore air resistance. Answers (a) 4.6 m/s (b)...
  39. Clausius2

    How to apply first and second laws of thermodynamics?

    Urgent Please! Well, my question is quite simple. I have to know what level of knowledge about thermodynamics, differential calculus and integral calculus do you have when finishing the High School in US. I have to write a proposal for teaching some special course here...so can you help me...
  40. DrChinese

    Does Bell's Theorem apply to non-local HV theories?

    Does Bell's Theorem apply to non-local HV theories? I know that Bell says it doesn't, and he has included logic intended to make separability a requirement. But consider this argument: What does it mean to say there are hidden variables? Einstein said: "I think that a particle must have...
  41. quasar987

    Does L'Hospital's rule apply to complex functions?

    I have to evaluate \lim_{x\rightarrow \infty} \frac{x-1}{e^{ipx/\hbar}} is this equal to \lim_{x\rightarrow \infty} \frac{\hbar}{ip e^{ipx/\hbar}} ??
  42. B

    (law of conservation of energy ) apply to electricity & magnetism

    (law of conservation of energy!) apply to electricity & magnetism... ok guys... first look at the PICTURE. (now imagine) suppose i put SUCH CYLINDRICAL magnet in zero-gravity, perfect vaccum. Then say, i rotate the cylindrical magnet about its axis. a). what should happen? ->well, there...
  43. A

    Should I Pursue Physics or Switch to a Biological Science Degree for University?

    ok i need serious advice. Basically i have to make a decision now because 6th form starts tomorrow. AABC -AS results i have to make a decision whether to carry on with apply for physics for uni or go for something else, I am thinking just a general biological science degree. Thing is i really...
  44. honestrosewater

    Choose Your Perfect Coffee: Check All That Apply

    Your coffee, that is. :smile: Check all that apply. I was going to add more, but 10 is the limit. So... Species: Arabica Robusta Other Roast: Light Medium Dark Body: Heavy/Full Medium Light/Thin Acidity: Tart Sharp Clean Bright Aroma: Floral Woody Nutty Spicy Brew...
  45. L

    Does the Distributive Property Apply to Infinite Terms?

    I was thinking about x=0.999.. so 10x=9.999... therefore 10x-x=9 when I asked myself does the distributive property apply to an infinite number of terms since 0.9999...= sum(9/10^(-k), k=1,2...)? Maybe I'm confused about what "=" means.
  46. 7

    Vs/Vp = Ns/Np This apply in transformer.

    Vs/Vp = Ns/Np This apply in transformer. But I have read the following statement : ' Uasally , voltage ratio is larger than the turns ratio. This is because not all field lines from primary coil cut the secondary coil.' Why? Is that mean some field lines 'go' to surroundings? :rolleyes:
  47. S

    Pauli exclusion principle - does it apply to everything

    The Pauli exclusion principle states that no two fermions can have the same quantum state. My question is, if you could conceivable solve the wave equation for every electron in a large body, perhaps even the entire universe, does this mean that no electrons in that body can have exactly the...
  48. J

    How does uncertainty princ. apply to photons?

    For a particle moving at a small fraction of the speed of light, momentum is just rest mass times velocity, and since the rest mass doesn't vary, uncertainty in momentum is equivalent to uncertainty in velocity...but what would uncertainty in momentum mean for a photon? Would it be uncertainty...
  49. A

    Max Planck's Contributions to Physics. How does it apply to everyday life?

    I have a presentation to do in Physics tomorrow on Max Planck. How does quantum theory and black body radiation apply to everyday life? I've looked everywhere for it but can't find anything! If someone could just point me into the direction of a website or something I would be very happy...
  50. R

    Why Does a Box Move When I Apply a Force?

    Good day all, If I apply a force on an empty cardboard box, it will apply the same force on me. But why does it move? There must be a resultant force, but how? If I apply a larger force it follows that the box will also apply the same larger force to me. Can someone please explain to me why...
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