Translation Definition and 236 Threads

I am reading some literature which is considering translations and boosts in field theory. The reference is Construction of Lagrangians continuum theories, Markus Scholle, 2004, The Royal Society. I am wondering if anyone is able to help me understand applying the transformation. I can see what...

I am trying to follow the following post. [Mentors' note: The "following post" is from https://physics.stackexchange.com/questions/12559/what-conservation-law-corresponds-to-lorentz-boosts] I dont understand how they have got the expression for the current for translations from the general...

Let ##m## be Lebesgue measure and ##\mathcal L## the Lebesgue ##\sigma##-algebra (the complete ##\sigma##-algebra that includes the Borel ##\sigma##-algebra). Consider, Folland starts off by saying that the collection of open intervals is invariant under translations and dilations, so the same...

What is the most seamless and convenient workflow to translate a couple of paragraphs in a chosen language, typed in the approximate Roman script, into English, using a good web interface -- PREFERABLY Google translate? For example, "mera naam" ---> "my name" Hindi ----> English

Japanese is a challenge for Google Translate. "Jazz club" was translated to "Cannabis." Hmm, maybe they've got something there. They also produced this: "Space networks have a strange gravity I'm starting to think after I graduated with an amusing horse"

How does academic transcripts translation work?

I want to ask how ##Ax^2+By^2+Cz^2+Dxy+Eyz+Fxz+Gx+Hy+Iz+J=0## can be brought to ##Ax^2+By^2+Cz^2+J=0## or ##Ax^2+By^2+Iz=0## using translation and rotation. There is no explanation in the book. What kind of translation and rotation are needed? Thanks

Suppose a stationary reference frame, any other reference frame will have a clock that advances at t'= t/gand is moving away at velocity v. g is the relativistic factor. we can write: C d t' = Cdt/g and d x = v dt this can be written (Cdt',Cdx)=(C/g,C v) dt ; since 1/g2+ v2 =...

Hi, I have a piece of Fortran code but I'm not Fortran literate. I'm trying to translate it into Python. I have already made it, but I need someone who can run the Fortran code to compare the values of the variables.

TL;DR Summary: Why were the two terms "visible light interference" and "the non-visible spectrum" omitted from the translation? I am doing a contrastive study of a Chinese sci-fi novel and its English translation. The following is a more faithful translation of the original: The initial...

Has there been any thought about a button for the poster to self-identify that the poster is using translation software? Edit: this is now a linguistics thread:frown:

So i am tried to conserve momentum and use conservation of mechanical energy but won't there be psuedo force acting on the block if i am solving from non inertial frame ?. If i ignore the pseudo force and simply use C.O.M.E and include the K.E of the wedge and solve normally i do get the...

So I am trying to do this tutorials but I want to use my own dataset. I am having problems "Build an input pipeline with tf.data." My question is about their code: def load_image_train(image_file): input_image, real_image = load(image_file) input_image, real_image =...

Hi, I am looking at some lecture notes in Italian, and I'm wondering about the correct English translation for some terms. I am afraid that in some cases the "literal" translation would sound weird. I looked online but I still have some doubts. In some cases I was not able to find a satisfactory...

For part (i) i was thinking of the vertical shift from ##(0,1)## to ##(0,16)##, this can be given by; ##y=2^x + 15## but it does not fit onto ##y=2^{x+4}## something wrong here. For part (ii), =we have a stretch factor of ##a=16>0## (vertical stretch) thus, ##y=16\cdot 2^x## your thoughts...i...

Has anybody a translation for the various cones describing the motion of the free symmetric top? The German expressions are "Nutationskegel" (space-fixed cone via the precession of the body-fixed symmetry axis ##\vec{e}_3'##) , and "Rastpolkegel" (space-fixed cone via the precession of the...

Hello guys! I am studying the hydrodynamics of a ship in shallow water. In deep water the ship creates 2 wave patterns, one transverse and another divergent, both making an angle of 19°28'. Also, the maximum velocity of a wave in shallow water is given by ##\sqrt{gh}## where h is the depth of...

Hello, Given the statement a described above. To find the forces at point D I drawn a kinematic scheme and FBD of rod CD. But why am I allowed to ignore the mass of 50 kg, the forces at point B and point A? I know the are some rules about this, but I just can't remember them anymore.. The...

https://en.wikipedia.org/wiki/Klein%27s_Encyclopedia_of_Mathematical_Sciences Originals are in German or French, the Japanese version cut all the historical content :( Do you think that some day we will see this published in English? Size is big, 20k pages, but it cannot be more interesting I...

Hey! :giggle: For $p\in \mathbb{R}^2$ let $\delta_{p,\alpha}=\tau_p\circ \delta_{\alpha}\circ\tau_p^{-1}$. Let $p,q\in\mathbb{R}^2$ and $\alpha,\beta\in \mathbb{R}$. (a) Show that $\gamma=\delta_{p,\alpha}\circ\delta_{q,\beta}$ is a rotation of a translation (or both). Give the center of...

My doubt is with Method 2 of the given example in KK. I'm unable to understand why the torque around A (where we have chosen a coordinate system at A) becomes zero due to the R x F in z direction with a minus sign {Photo Attached} I have tried to reason out that one way to formulate that term...

Been trying to work this out for a while now but struggling to come up with a program that reads all of the samples. Based on the keypad, I should be receiving an "a" when I press "2" once. However, when I put in the code "222", I still get "a" instead of "c". I've attached the codes I put in...

In high school I learned about three kinds of motion in classical mechanics - translation, rotation, and oscillation. Are there any other kinds of motion in the physical world?

I am a guy whose first language is not English. Sometimes I feel hard to understand what an English word means exactly even resorting to dictionary or machine. So, I start this thread to learn English. Any help will be appreciated. Liqiang Chen Sept 18, 2020 ……………………………….. Yesterday, I...

and But The infinitesimal translation denoted by equ 1.6.12 and 1.6.32 And then i understand about equation 1.6.35 but equation 1.6.36 Why they take limit N go to inf ? , multiply 1/ N ? and power N ? So is the relationship below still true? ## F(Δ x'\hat{x}) = 1 - \frac{i p_x \dot{} Δ...

Oh, combined wisdom of PF-ers, I seek your help again (and probably not for the last time). We are working on a translation of a story into English. Thing takes place in Poland, now and then, and at some point our main hero meets a woman (named Miecia) that fourty years ago worked as a...

I am reading Sheldon Axler's book: Measure, Integration & Real Analysis ... and I am focused on Chapter 2: Measures ... I need help with the proof of Result 2.7 ... Result 2.7 and its proof read as follows: In the above proof by Axler we read the following: " ... ... Thus ... ##\mid t +...

I am reading Sheldon Axler's book: Measure, Integration & Real Analysis ... and I am focused on Chapter 2: Measures ... I need help with the proof of Result 2.7 ... Result 2.7 and its proof read as follows: In the above proof by Axler we read the following: " ... ... Thus ... $\mid t + A...

Hi :) 1/ First case A wheel with a mass ##m## and a radius ##r## moves in horizontal translation and rotates around itself. The wheel is just above the ground, doesn't touch it. The wheel rotates CW if the wheel moves in translation to the right. The ground is horizontal and there is no...

I use an example with a rack and a pinion. I suppose there is no losses from friction. I suppose the masses very low to simplify the study, and there is no acceleration. I suppose the tooth of the pinion and the rack perfect, I mean there is no gap. There is always the contact between the rack...

As we all know, for the reference frame S' and S of relative motion, according to Lorentz transformation, we can get As we all know, for the reference frame S' and S of relative motion, according to Lorentz transformation, we can get As we all know, for the reference frame S' and S of relative...

https://www.amazon.com/dp/B07CMZFRKW/?tag=pfamazon01-20 The first bullet point in the product description 🤣

Lorentz Law says that for a charged particle moving with a velocity v in a magnetic field B then the force on it is given by $$ \mathbf{F} = q (\mathbf{v} \times \mathbf{B}) $$ Now, if I say that particle’s velocity and the magnetic field are aligned then according to Lorentz Law there will be...

Answer choices: N2L for Translation, N2L for Rotation, Both, Either1. You are asked to find the angular acceleration of a low-friction pulley with a given force exerted on it. My solution = N2L for rotation 2. You are asked to find the angular acceleration of a low-friction pulley due to a...

I have two question about a exemple given in the Sakurai's quantum mechanics book, section 4.3. Let's consider an electron in a periodic potential ##V(x + a) = V(x)##, that has the form of a wave. We will take the potential to go to infinity between two latteces sites, such that its form change...

Given the coordinates ##P = (3,4)## , find the coordinates of ##P"(x',y')## when the origin is shifted to (1, –2), and the axes are rotated by 90° in the clockwise direction. I attempted to solve this problem using the following formulas : ##x = X + h## and ##y = Y + k## for translation of the...

Google translator does not really help me translating these exercises. May you help me out? If this is not the site I should I ask for translation of physics texts, may you tell me where should I ask for that?

So it all starts with the fact that the game Return of the Obra Dinn (I love it, just in case you wonder) won Best Art Direction during The Game Awards 2018. We discussed it here with a friend of mine and turned out we understood the name of the category differently. In Polish direction and...

Homework Statement A rigid cube in the figure moves in space. At a certain time ##t## its front face ##ABCD## is vertical and the velocity of vertex ##A## is vertical down ##v## while the velocity of its vertex ##D## makes an angle with the vertical and has magnitude ##v_{2}## while lying on...

1. If somebody wanted to translate one or some of the articles, would it be doable to include the translated text with the original Insight? 2. Alternatively, would publishing such a translation elsewhere (with full attribution of course) be o.k.? Questions mostly directed to @Greg Bernhardt...

Homework Statement Four equal discs of mass ocuppy the vertices of a square frame made by four rigid bars of length and negligible mass. The frame is at rest on a horizontal table, and it can move with negligible friction. An instantaneous impulse is transmitted to one of the masses, in the...

Homework Statement Show that \int_{A} 1 = \int_{T(A)} 1 given A is an arbitrary region in R^n (not necessarily a rectangle) and T is a translation in R^n. Homework Equations Normally we find Riemann integrals by creating a rectangle R that includes A and set the function to be zero when x...

In this Wiki article, a geometric definition of a translation surface is given. I'm lost in at the first line were it is stated that a given collection of polygons need not be convex. How is this possible? I am trying to understand translation surfaces from the perspective of dynamical...

I recently found out the rule regarding the Taylor expansion of a translated function: ##f(x+h)=f(x)+f′(x)⋅h+\frac 1 2 h^ 2 \cdot f′′(x)+⋯+\frac 1 {n!}h^n \cdot f^n(x)+...## But why exactly is this the case? The normal Taylor expansion tells us that ##f(x)=f(a)+f'(a)(x-a)+\frac 1...

The molecules that replicate DNA are collectively called "replisome". Is there a similar term for all the molecules that synthesize proteins (both through translation and transcription)? Short of, of course, "protein synthesizers". I can't seem to find the term, any feedback appreciated!

Homework Statement Prove or disprove: Every translation is a product of two non-involutory rotations. Homework EquationsThe Attempt at a Solution :[/B] I am not sure if I got the right proof for the special situation: A translation is the product of two reflections with parallel reflections...

I've read Modern Quantum Mechanics J.J. Sakurai 2nd Edition. In topic about lattice translation as a discrete sysmmetry(page 287) , they discuss only in case of ground state. If I want to study more in case of including excited states, where can I find this information? thanks.

If I were to cut the string and let the board move, I know I would get rotation. But, since the center of mass of the beam is moving as well (in a circle) could I also say that the board is translating once the string is cut?

Homework Statement I am trying to follow the attached solution to show that ##T_{p}f(\tau+1)=T_pf(\tau)## Where ##T_p f(\tau) p^{k-1} f(p\tau) + \frac{1}{p} \sum\limits^{p-1}_{j=0}f(\frac{\tau+j}{p})## Where ##M_k(\Gamma) ## denotes the space of modular forms of weight ##k## (So we know that...

I need a translation of "Differentialgleichungen : Losungsmethoden und Losugen", I guess it is written in German. This book was referenced in Shepley L. Ross' book on ODE. If the English translation is not unavailable, I am fine with a book that contains a "list" of special differential...