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.
For this problem I was very confused whether conservation of angular momentum should be applied to the person, the swing or the person-swing system. It seems to me that there is no net torque on any of the three systems I listed above. However, it seems that the angular momentums of the three...
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HUP states that if i know the exact position of a particle there must be infinite uncertainty in its momentum. What about if i apply HUP to myself ? Is it not possible for me to know that i am standing at a specified position and not moving ; implying zero uncertainty in both position and...
##4\div 6(4+1)##
Now we both agreed on 1st step that is applying 'B';
##4\div 6(5)##
Now from this step; my understanding is that we apply 'O' that is 'Of' implying Multiplication.
##4\div30=\dfrac{4}{30}=\dfrac{2}{15}##
On the other hand;my colleague was of the thinking that 'O' just...
Hi,
Unfortunately I am not getting anywhere with task three, I don't know exactly what to show
Shall I now show that from ##S(T,V,N)## using Legendre I then get ##S(E,V,N)## and thus obtain the Sackur-Tetrode equation?
Hi,
I am a senior at a large research public university in the US (UC Davis). I really want to go to grad school but I am not sure if I should apply this year. I am only 19 years old (I graduated high school with an associates in physics) so this is only my second real year of college and I...
Hi everyone!
How can I apply for a post-doc that is in a different field from my current PhD topic?
I.e. I would like to make a transition. However, I need to learn how to say and justify that I am competent
in the fields I have rarely touched. In addition, I have yet to publish at the moment...
Hello,
I try to better understand how and when I can apply the Born rigidity condition.
So, for the following example:
We've two space probes (Pa and Pb), that travel at an exact equal and same proper acceleration. At a given time tb0 in Pb, and as measured by Pb, the distance is Lba0 (it's...
Summary: Hey, I'm getting confused with this question and don't think I'm doing it right, I was wondering if anyone could help me
Tides vary so the high tide and low tide height of the water is different every day. At certain times of the year, such as a Spring tide, the water can be very deep...
So far I have determined the evacuation time, a basic heat transfer between the heating element and plastic sheet, and a hold down force of the forming bed.
I know how to apply boundary condition like Dirichlet, Neumann and Robin but i have been struggling to apply divergence free condition for Maxwells or Stokes equations in nodal finite element method. to overcome this difficulties a special element was developed called as edge element but i don't...
What I have done:
(1) ##\Phi(\vec{B})=\int_{S}\vec{B}\cdot d\vec{S}=-\frac{N\mu_0 il}{2\pi}\int_{s=h}^{s=h+l}\frac{ds}{s}=-\frac{\mu_0iNl}{2\pi}\ln(\frac{h+l}{h})##
so ##\mathcal{E}=-\frac{d\phi(\vec{B})}{dt}=-\frac{\mu_0iNl^2v}{2\pi h(h+l)}## so...
I want some clarification on the potential operator ##V(\hat{x})##. Can you please help me
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Is the action of ##V(\hat{x})## defined by its action on the position kets as ##\hat{V}(x)|x\rangle=V(x)|x\rangle##?
Then we'd have for any ket ##|\psi\rangle## that...
What am I missing?
I also don't get the title of the section: "Charge distributions with enough symmetry for Gauss's Law".
I thought Gauss's Law was valid for any closed surface enclosing a charge. I don't understand what "enough symmetry" means in the title above. I get that with symmetry...
In a podcast with Sean Carroll and Roger Penrose (link :) ), it's briefly discussed that one can cook up certain unphysical examples of spacetimes in which SCC is violated. Indeed, in Harvey Reall's BH notes (link), it's written that:
What is a sufficient set of restrictions required in order...
I was doing a exercise which considerst he time it takes for light travels a glass with thickness proper D and velocity v. The speed of light is c/n inside the glass.
Now, my approach was to go to the glass frame, take the relative speed between the glass and the light using the trivial formula...
Hello,
I am a senior physics student who is interested in applying to graduate school for physics. I am having a hard time figuring out where to apply, what my safe, match and reach schools are, and in general deciding where I can even get into if I apply so I don't waste hundreds of dollars on...
In post #30 of a now closed thread, vanhees71 wrote:
The quote in question is from his 1930 book "The Physical Principles of the Quantum Theory" on p.20 of the English translation of the German original. There Heisenberg writes:
I created a bot that can automatically apply to jobs for me while I sleep. I let her rip for about 30 seconds, and she had applied to 10 jobs already. I'm going to just let her go while I sleep tonight and see what happens.
She simply finds jobs with the "Apply with your Indeed Resume" option...
Electrons rotate around a nucleus for long periods of time. Where does the energy for this motion come from?
Ok, I realize that electrons don't actually rotate around the nucleus, like a tiny solar system. But if the electron is wave function, it's still constantly vibrating, constant...
I investigated the flow rate of differing dilutions of glycerol through an orifice of a vertical tube and obtained the following:
I'm looking for a way to quantify these results so looked to Poiseuille's Law;
I'm pretty sure my graph does not show inverse proportion? Could anyone advise me as...
Hi, PF
##y^2=x## is not a function, but it is possible to obtain the slope at any point ##(x,y)## of the equation without previously clearing ##y^2##. It's enough to differentiate respect to ##x## the two members, treat ##y## like a ##x## differentiable function and make use of the Chain Rule...
1. We know that a transformer splits a circuit into a primary and secondary circuit. So then, does the secondary coil act as a voltage source for the secondary circuit, or a current source for the secondary circuit? Does it depend on whether the primary circuit uses a voltage/current source as...
In this problem, the method used to solve the question is to equate pdV with change in internal energy. This implies an adiabatic process as Q = 0? (not sure about this claim) However, why is it not correct to simply apply the PV^ϒ = constant formula?
Thank you.
Is the heat generated by flowing water in a pipe proportional to the product of the rate of flow and the pressure drop across the section of pipe in question, analogous to an electrical circuit? If so, what units would you plug into get an answer in watts?
For example, let's say i have force acting on an object about some pivot. That object will apply an equal force about the same pivot, at equal lever arm, back. So there it seems like if the forces are in line, acting on the same pivot point, there is an equal and opposite torque.
However, if i...
Summary:: I am not sure about how can I write an appropriate equation to a question which include friction force and initial velocity.
I came across a question that I am not sure how to write an equation.In the question, there is an object of mass m that is thrown into spring at v initial...
I want to plot the ratio f1(x) / f2(x), where they have some common zeros. Does Mathematica have a feature that will do this, switching automatically to f1'(x) / f2'(x) when appropriate, avoiding F.P. errors and optimizing numerical precision?
If not, is there a good way to implement this?
In this question
I can't understand how the loop is opposing the change in flux,
I can solve it by simply imagining a bar magnetic with south pole pointing outwards placed inside the plane of image but how do I know that it is the same case as that of bar magnet?
What if their is a case in...
I'm reading Schutz's A First Course In General Relativity and in chapter 5 he discusses an idealized experiment in which an object is dropped from a tower, then turned into a photon and sent back up to its original height.
In classical mechanics we would say that as the object falls it loses...
Does prism equation (i+e = A+δ) apply to all prims, equilateral and right angled? And does it fail for normal incidence on a prism?
For eg. when light is incident normally on one of the sides of an equilateral prism, it deviates the light through 60°. i+e = 0. A+δ = 60+60 = 120°.
Summary:: Dear Colleagues,
Need Assistance and Recommendation (IMechE)
I want to submit for Chartered Engineer (CEng) at Institution of Mechanical Engineers (IMechE), UK. I need to fill up the application form. However, I really in need for samples how to fill up the application form to apply...
when we have 0 acceleration(constant speed) like a car traveling at a constant speed,
ƒnet=ma
ƒnet=(mobject+mfriction).(aobject+afriction)
let m object be 1500 kg.
m friction be 10 kg
a object be 0
a friction be 20m/s^2
so when we calculate fnet=-20*1600=-32 000 Newtons.
which means wall applies...
I am discussing with friends whether concept of buoyancy is applicable even if the full surface of body is not covered by fluid(s).
As an example a clay ball is dropping in the pool water. Buoyancy is working on the ball. Then it reaches the pool flat and sticks with it to make a mountain...
If the mu of the ferrite is high, as suggested, the B field on that section of wire is zero, and therefore there is no force on the wire. Instead there is a comparable force on the ferrite itself. But suppose you allow the ferrite to have different values of mu. If mu=1 the force is just...
I know we can't use classical mechanics to describe or measure the quantum. That is not what I'm asking. I am asking whether particles still follow the same rules like action/reaction if there is a force involved.
If electron A interacts with electron B, is Newton's 3rd law still being applied...
In A.P. French's Special Relativity, the author said the following,
As I understand, photons are massless, so I don't think the last equation above applies to photons, but then, when deriving it, he used an equation proper to photons (##E=pc##).
So in which context is ##m=p/c## valid?
Exercise statement
Find the general solution for the wave equation ftt=v2fzzftt=v2fzz in the straight open magnetic field tube. Assume that the bottom boundary condition is fixed: there is no perturbation of the magnetic field at or below the photosphere. Solve means deriving the d’Alembert...
I'm a sophomore physics/astronomy double major + math minor at a large research university. (My university has an applied math department and a pure math department; I'm doing the pure math minor.) I have a GPA of 3.7 and (so far) A's in all my physics and astronomy courses, and A's in all my...
Summary: How to define dimensions of an inertia wheel
Firstly, I have been working in aviation industry, making me to involve in the Physics a lot. For the last few weeks, There have been a problem to solve since the manfacturer had not wanted to help us by not sharing information. We have...
I have some doubts about whether Planck's relation (E=hf) applies to radio waves. This has been bugging me because trying to apply Planck's relation to radio frequency results in some inconsistencies that I've been unable to resolve. BTW, I have no physics training, so please go easy on me...
I'm trying to get transform the larger circuit into the smaller one and then from there calculate power. My plan was to do the transform and then use kirchhoffs laws to find the current tofind the power.
My work so far:
Is the sequence of steps I used valid? I'm not focusing on the calculations...
Hello everyone so I currently am a first-year college student attending my local state university but am wanting to transfer out after this year and I was wondering what schools I should look into. Any input would be very appreciated as I have to pay for my own applications and well, college...
In many british universities, like the University of Cambridge, the UK bachelor (1st class), with a duration of 3 years, is the minimum accepted requirement to apply for a PhD. This is, some PhD students only hold a UK bachelor, without a Master's degree. I was wondering if a british bachelor...
if i apply a voltage to human flesh, human flesh would be at the full voltage? because i performed an experiment. i connect one end of a wire to the
the palm of my hand. i connect the other end to a battery. i connect the first battery to a second battery. i connect the second battery to a...
Greetings,
I hope you're all having a nice day, I only recently created this account looking for some answers on an issue I've been having, however, upon going through some posts I realized that everyone has their own variations, which left me no choice but to consult the community directly.
I...