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. D

    Should I apply for this Scholarship?

    I am considered a female majoring in the STEM field (Information Technology) and there is a scholarship being offered at the college I attend for females pursuing an engineering major. Now I met the gender and academic standing requirement but I am not specifically an ENGINEERING major. I...
  2. PhiowPhi

    Mind boggling attempt to apply Newton's 3rd law

    In classical mechanics, it's pretty straight forward for me to apply it(sometimes...), and really intuitive to picture it. However, when I kick it up a notch... to apply Newton's 3rd law in electrodynamics, my brain malfunctions... Simplest example I can think of, a conductor carrying a wire...
  3. Mr Davis 97

    To which bodies can we apply the concept of torque?

    I am in introductory physics, and have just been introduced to the topic of toque. For forces in translational motion, I know that we idealize objects to be point particles. However, when it comes to torque, we don't deal with point particles, but with "lever arms." I guess essentially my...
  4. LornieTwist

    Schools What schools should I apply to for physics undergrad?

    Hey all, I am looking for some advice about what school to attend for undergrad in physics. Here is my list thus far: UC Berkeley Cornell Rice Notre Dame UIUC UT austin UCLA UCSB Umich UF Here are my stats: First year at community college, but I earned 43 credits in High school so I am a little...
  5. B

    Schools Best undergrad school I got accepted to?

    I was recently accepted into 5 universities Penn State University ( 2 years at Behrend then 2 years at main), Ohio University, Waynesburg University, Kent State University, and the University of Akron. I got into the physics programs in all of those schools. I was wondering which school would be...
  6. Jarrodmccarthy

    Does Quantum Contextuality only apply to spin?

    I have just recently started learning about quantum contextuality and can only seem to find examples where contextuality is need to explain measurements of spin. So I am curious as to whether quantum contextuality only applies to measurements of spin? Also, If someone could clarify where the...
  7. G

    Optimization algorithm to apply to my system?

    I am at the moment working on a project in which I try to minimize the annual running costs of a chemical manufacturing plant. To predict annual running costs I created a model with over 50 inputs, including things such as the type of chemicals and equipment used at different points in the...
  8. O

    Why Does Bernoulli's Equation Apply to Wind Tunnels?

    I hope this question doesn't have too obvious of an answer. Basically, I still cannot grasp why Bernoulli's equation applies for wind tunnels and pitot-static probes. According to my textbook ("Introduction to Flight" by Anderson), Bernoulli's equation holds only when comparing two points...
  9. P

    Using calibration data for a beam scale -- How to apply?

    Homework Statement I attached the full document, buy I just want to know about : "Using calibration procedure determine: a) Sensitivity (mV/gr) b) Overall instrument error (gr) c) Linearity error %FSO d) Hysteresis error %FSO e) Precision error %FSO" Homework EquationsThe Attempt at a...
  10. T

    Trying to apply superposition method to circuit, not working

    Homework Statement A double loop circuit is shown in the figure below.[/B] The Emf x = 6.00 V and the Emf w = 19.00 V. Both are shown on the diagram. Calculate the power dissipated in the 6 Ω resistor located on the extreme right in the circuit. Homework Equations V=IR, P=VI The Attempt at...
  11. H

    Calculate how much force you would have to apply to crate?

    Homework Statement Calculate how much force you would have to apply to the crate to get it to go at constant speed up a 30 degree ramp. Homework Equations Using kinetic friction for equation. The Attempt at a Solution I couldn't find the formula for kinetic friction which also includes...
  12. halpmaine

    Conservation of Energy -- does it ever not apply?

    Are there situations when conservation of Energy does NOT apply? Thanks.
  13. R

    Can I apply Bernoulli's equation to rigid body rotation?

    1. The problem statement, all variables and given/know Say I have a can of water, and I am rotating it about its central axis at a constant angular rate. The water in the tank should make a 3D almost parabolic curve as it touches the the walls of the tank. Can I use Bernoulli's equation along...
  14. P

    Does the Sup/Inf Operator Apply in Vector/Matrix Conditions?

    Suppose y is a positive vector. Let p and x be two positive matrices with N rows, where ##p_j## and ##x_j## denotes the j:th row in these matrices, so that j = 1,…,N. Does the following hold: \inf_{k=1,...,N} [\sup_{l=1,...,N} [p_k(y-x_k)]] = \inf_{k=1,...,N} [p_k(y-x_k)] where ##p_k(y-x_k)##...
  15. MoRA

    Should I apply for PhD / and what are my chances?

    Hi I'm a final year MSci student (kind of an undergrad masters) in physics and have been thinking about my next steps for a while now. I have a high 2:1 average from my first 3 years and I was just wondering if getting a PhD is realistic at all (what with all the impressive results other people...
  16. Shadowclan

    How can I apply probability to the cosmological constant?

    Hello! me and my friends were discussing a few ideas earlier this week and then we suddenly started talking about Einstein's biggest mistake. I was a bit lost because I am not all that familiar with the Cosmological constant and I was wondering how can probability be applied to that mistake?? I...
  17. Dare Diamond

    Maximum Voltage To Apply To An Air core Electromagnet

    Hello everyone. I am glad I came across this science oriented Forum site. I actually get there from Google and what I am deeply curious to know about is the amount of Maximum Voltage my 3.5kg Air Core Electromagnet can bear. The Core of the Solenoid is 120mm in height and 13inches in...
  18. rmoh13

    How do I use math to back up my theories in physics?

    Because I'm only in pre-calculus right now (I'm still not in ninth grade yet), I haven't been able to find a way to back up my theories on physics which are mostly based off of reason and logic (I know this is a bad way to back up my theories, I just want to know what you think of them and how I...
  19. Robin04

    Student planning to apply for aerospace/aeronautics in the UK

    Hi, I'm planning to apply for the Aeronautical Engineering course of Imperial College London for 2017 entry, and I'm starting to realize that the next 2 years is going to be very hard for me, because it's not very easy to get an offer from Imperial. I'll have to work a lot and not just in...
  20. Gvido_Anselmi

    How to apply in US to study theoretical physics?

    Hello, everybody. I'm an undergraduate student interested in QFT (especially CFT, String theory, quantum gravity etc). I have already worked through several serious books in QFT and related topics of mathematics (including all problems from books). Of course I don't mean I'm an expert for now...
  21. E

    How to apply the Clausius-Clapeyron to geysers

    Hi first post so forgive any break in widely accepted conduct, Currently involved in a physics competition one of the question is to investigate geysers. Time and time again I have stumbled upon reference to Clausius-Clapeyron relation. Probably the best source I have come across is a youtube...
  22. Lagraaaange

    Schools Apply to Graduate school this year or wait until graduation?

    Ideally I'd like to apply to graduate school for physics (leaning towards Astrophysics or Condensed matter); however, I don't think my course work or research is sufficient. I'm already using an extra year to complete the degree (I changed to physics the end of my Sophomore year) and wouldn't...
  23. gracy

    When to apply conservation of angular momentum?

    So my question is when to apply conservation of angular momentum?When there is no external force ,right?But in the case below A mass m moves in a circle on a smooth horizontal plane with velocity v0 at a radius R0. The mass is attached to a string which passes through a smooth hole in the plane...
  24. Dishsoap

    Schools Apply to grad school for AMO exp or theory?

    Greetings all, I'll be applying to grad school in the fall, and I am uncertain on how to proceed. By the time I graduate, I will have done research with an AMO theory group for four years and will have four publications. However, all of these publications are on numerical work/methods, not pure...
  25. C

    How to apply Eulers Eq and continuity eq to compressed air

    Can we apply Euler's Equation and continuity equation to compressed air flow from tank or orifice.
  26. B

    Why Does Gamma Apply to All Object Components?

    So it seems straightforward to me that if time dilated, then so would size, mass and energy, but I don't know how to prove that mathematically. I understand the concepts of special relativity and the lorentz transform, and why it is applied to time, but I can't recall or figure out why Einstein...
  27. evinda

    MHB Apply DFS to Minimize Antennas on Road

    Hello! (Wave) We consider a long straight road along of which there are some houses. A mobile phone company wants to put antennas along the road for the service of the residents of the homes. The range of each antenna is four kilometers. Give an algorithm that puts the smallest number of...
  28. K

    Does Ads/CFT correspondence apply to LQG Kodama state?

    first paperhttp://arxiv.org/abs/hep-th/0209079 Quantum gravity with a positive cosmological constant Lee Smolin 59 pages "A quantum theory of gravity is described in the case of a positive cosmological constant in 3+1 dimensions. Both old and new results are described, which support the case...
  29. B

    Should I apply for a job I don't want?

    My temporal agreement is coming to an end and there's an opening in Supply Chain for a bit higher pay grade. However, I'd like to work as a Project Engineer more but there're no openings. Should I apply for the job anyways just to gain some more experience in a hope to move up in the future?
  30. A

    How to find atomicity of solid elements as can't apply the gas law

    we can use avogadro's law and gay lussacs law to find atomicity of gases but what about solid elements
  31. L

    Apply impulse to a wheel creates constant acceleration?

    Hello! Well, I am in trouble with this question for some time. I am making a simulator with autonomous cars and its movement is done applying constant impulses to the wheel. My question is: if the vehicle is in the intertia state and I start to apply this impulses, the vehicle will assume a...
  32. N

    How does uncertainty apply to an electron's magnetic moment measurement?

    The electron paths in the path integral formulation of qm are in ordinary space-time. The end-points of the paths in the steady states must be in ordinary space-time as well. The electron's potential is exact or nearly exact either by measurement or by calculation. The electron's locations...
  33. Shackleford

    Apply a corollary to show an identity

    Homework Statement Apply corollary to show that 2 sinz*sinw = cos(z-w) - cos(z+w) for any z,w ∈ ℂ Homework Equations 2 sinz*sinw = cos(z-w) - cos(z+w) for any z,w ∈ ℂ Corollary: Let f and g be analytic functions defined on a domain D ⊂ ℂ. Let E ⊂ D be a subset that has at least one limit...
  34. F

    When do vcm=rw and a=gsintheta/(1+I/(MR)^2) apply?

    Homework Statement Do the equations below only apply for rolling without slipping? Homework Equations vcm=rw, a=(gsintheta)/(1+I/(MR)^2) cm=center of mass 3. The Attempt at a Solution [/B] I know that they both apply for rolling without slipping, but do they apply when there is slipping...
  35. L

    What does it mean physically to apply a voltage to a MOSFET

    https://en.wikipedia.org/wiki/MOSFETLikewise, the "oxide" in the name can be a misnomer, as different dielectric materials are used with the aim of obtaining strong channels with smaller applied voltages. http://www.electronics-tutorials.ws/transistor/tran_7.html In the saturation or linear...
  36. N

    Lagrange equation: when exactly does it apply?

    Hi! Does the Lagrange equation ONLY apply when the constraints are holonomic? What about the constraining forces acting on the system (i.e. normal force, or other perpendicular forces), do they make a system holonomic? What about the Lagrange equation with the general force on the right hand...
  37. blue_leaf77

    Apply to multiple PhD's at a same time

    I'm currently a master student in the field of physics, so indeed it's not in US instead in Europe. Now I'm approaching the end of my master studies and planning to go to a PhD program. I have found more than one destinations (which exclude my own current university) which seem to suit my...
  38. R

    Engineering Apply for Physics or Engineering?

    Dear PhysicsForumers, I will be applying for University soon. I am in a dilemma now. How do you know if physics is for you? I mean, i do like physics but I really have no idea if I'm able to make this last me a lifetime. How do you really know you don't like, but LOVE physics? I have been...
  39. Palpatine

    Help Applying SR to Calculate Time Dilation

    I made this pic to illustrate my problem. A spaceship (labeled B) departs from a space station (labeled A) at 80% the speed of light (0.8c). A applies the time dilation principle and calculates that B's clocks are running slower than his. Some time later a smaller craft (labeled C) detaches...
  40. J

    Does wave/particle duality apply to the full EM spectrum?

    My question relates to wave/particle duality. If light is regarded as possessing both wave like and particle like properties, and visible light is just part of the whole EM spectrum of radiation, is it correct to say that radio waves for instance, ( being themselves part of the whole spectrum...
  41. Randall

    Did I apply this limit comparison test correctly?

    Homework Statement Use the limit comparison test to show the series converges or diverges: Sum from n=1 to infinity of ((5n^3)+1)/((2^n)((n^3)+n+1)) Homework Equations suppose Sum An and Sum Bn are two positive series. Let lim as n goes to infinity of An/Bn = c: 1) if 0<c<inifinity then either...
  42. C

    Does a static container apply a torque on Earth ?

    Homework Statement Does that container full of water gives a torque on Earth ? http://imageshack.com/a/img537/6733/9Y0Hqq.png Homework Equations -- The Attempt at a Solution I drawn all interesting forces : http://imageshack.com/a/img540/9315/ymwwvW.png Like that there is a torque...
  43. A

    Newton's second law for rotation, when does it apply?

    I'm reading Halliday's chapter or rigid body rotation. In the derivation of Newton's second law for rotation, it is assumed that the object is hinged about some axis ( the connection would be a frictionless pin). The law is derived for such a connection, but is later applied to objects that...
  44. S

    Apply for tenure track or just full time?

    Hello everyone, A university has two positions open: one is tenure track and the other is full time year-to-year. I am definitely fit for both, but I probably have a higher chance getting the full time (non-tenure track). Should I apply for both or it is better to just apply for the one I have...
  45. S

    Schools Graduate school asking for a list of universities I apply to

    Hi, I am filling up graduate school applications, but I am asked to list the universities I am applying for. Any ideas about the reasons they ask us? Should I tell them? I am afraid this information will affect the admission in a bad way.
  46. J

    How does ladder logic apply to programable logic control

    do any of you know how it would apply ?
  47. V

    How much force I have to apply to throw a stone out of orbit?

    I know escape velocity. in order to get out of Earth's orbit the object has to maintain 11.2 km/s speed. But If I want to throw a 1kg stone out of orbit... how much force I have to apply?
  48. W

    Schools Looking for grad schools in string theory/quantum gravity

    I'm beginning to apply to grad schools (primarily in observational or computational cosmology and extragalactic astronomy) but have a deep interest in M-theory and quantum gravity although I haven't been able to study it. I very much enjoy theory and think that I would find studying M-theory or...
  49. evinda

    MHB Why can we not apply the theorem?

    Hi! (Wave) Find an exact asymptotic solution of the recurrence relation $T(n)=4T \left ( \frac{n}{2}\right )+n^2 \log_2{(\log_2 n)}$, using the master theorem or show that the master theorem cannot be applied. In this case, the master theorem cannot be applied, right? (Thinking) But, how...
  50. G

    Measuring Light Frequency: Does Newton's Law Apply?

    Can anyone tell me if the following is correct? Traveling directly towards a source of light at some constant speed, we will measure its frequency to be higher (compared to rest frequency) than what we would expect when using Newton’s laws. Just as traveling away from the source, we would...
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