Confusion Definition and 1000 Threads

I am confused! Dimensions are defined as perpendicular, and I have read that some are coiled up. How can something be perpendicular and coiled up?

The question My Working:

I have a very basic confusion that supports some basic elements of algebra. Being a high school student my teacher couldn't answer this, hope someone could help here. We know this equation is true: (-x)^2=x^2 but once we square root both sides it becomes this: -x=x we can see this equation was...

Here is a picture of the solution I made : So my question is: Are these right and how do they differ from each other?

I know that Ohm's Law gives me the answer of 0.25 A but what I don't understand is how is it ok to use Ohm's Law when I know that the lamp doesn't obey the law? I know that as the current is increased through the lamp, the resistance increases due to temperature rise which, I am told, makes it...

For this part(a), Why do they give 2 sig figs in the solution? ##80 kg## and ## 10 m/s## both have 1 sig fig. Thank you for your help!

So the confusion here is that division by zero is often said to be undefined. So whereas, the point (0,0) certainly appears in the set of values where x=y, does the point (0,0) appear in the set of values where 1=y/x. Why or why not? In other words are the set of points where x=y the same as...

I started my research in statistical digital signal processing two years ago, so I need to familiarize myself with all the notations people use in probability and statistics. I come from a deterministic science background. I name my variables based on what they mean. A velocity is a v , a...

I am recently reading "Introduction to Electrodynamics, Forth Edition, David J. Griffiths " and have a problem with the derive of the curl of a magnetic field from Biot-Savart law. The images of pages (p.232~p233) are in the following: The second term in 5.55(page 233) is 0. I had known...

Full code goes here: The goal of the program is to overload the extraction operator for cout. #include<iostream> using namespace std;class Time { private: int hour; int min; public: Time() { hour=min=0; } Time(int h,int m) { hour=h; min=m...

Hey all, When looking at the renormalization conditions for QED (see page 332, equation 10.40 from Peskin), there is a condition that requires the photon propagator at ##q^2 = 0## to evaluate to 0. But looking at the expression for the photon propagator counterterm: ##-i(g^{\mu\nu}q^2 -...

Hi， everyone！ I am new here with my confusion. I search a part MIC29302 as I was looking for its datasheet. I know MIC29302 is a series. I check the part information on the website called [Spam reference redacted by the Mentors] and its official manufacturer microchip. I found that there are two...

This Problem is from a test that has already been attempted. This problem required some amount of imagination so many of my peers came up with their own unique answers. It would be very helpful to get to know what the actual solution is. Any amount of assistance will also be helpful. Question...

Hello. I read on Wikipedia that when a body is in free fall from zero mass, its mass does not matter and two bodies of different weights will fall at the same speed. I think this is not correct. If I consider that the bodies are in a weightless state and the gravitational force will act on them...

Here's the full code: This is the code that I'm interested in:window.addEventListener("keydown", e => { inputDir = { x: 0, y: 1 }; moveSound.play(); switch (e.key) { case "ArrowUp": inputDir.x = 0; inputDir.y = -1; break; case "ArrowDown": inputDir.x =...

So I'm reading through Cengel's thermodynamics textbook, and came across this solved example: Firstly, pressure in this context I'm assuming is vapour pressure? Since we're dealing with pure substances in this chapter. But what's confusing me is, here's the diagram I have: They've not...

https://www.codewars.com/kata/54ba84be607a92aa900000f1/train/javascript This is my code for it. function isIsogram(str) { let i, j; let str1 = str.toLowerCase(); for (i = 0; i < str1.length; i++) { for (j = i + 1; j < str1.length; j++) { if (str1[i] === str1[j]) { return...

Hi, While studying the spin 1/2, I'm facing some confusions about the spinors and the eigenspinors. I understand that ##\chi = \begin{bmatrix}a \\ b \end{bmatrix}## is the spinor with ##\chi_+ = \begin{bmatrix}1 \\ 0 \end{bmatrix}## and ##\chi_-= \begin{bmatrix}0 \\ 1 \end{bmatrix}## the...

We are seeking to design a project where we use a simple pendulum and a motion sensor (that will give us velocity) in order to study centripetal acceleration by essentially changing the length of the pendulum for each trial. This felt simple enough, however our professor insists that we would...

Here is the circuit diagram provided in the book. In the solution, the book has used the following approach (red markings in the image): Input to the left transistor is 2V. Considering base-emitter junction drop to be 0.7V, the emitters are at 1.3V (left red arrow). Now, using the "virtual...

SO2(g)+1/2O2(g)⇌SO3(g);ΔHo=-98.32KJ/mole,ΔSo=-95J/(mole-K). find Kp at 298 Kelvin? In given question at first Δ G will be calculated using formula ΔG = Δ H – T x ΔS, by putting the given values in formula we get ΔG = -70.01 kJ/mol. Then Keq will be calculated using equation = Δ G = -RT ln Keq...

This is my background image. I set: background-position:50% 50%; I get this as my output: But I don’t understand the output. So, I read little bit about background-position again.A value such as 20% 65% specifies that the point 20% across and 65% down the image be placed at the point 20%...

The instructor's solution goes like this: The initial speed of the ball is given by ##v_0=\sqrt{gR}## where R is the range.But this is true if the final position of the projectile is y=0 but in this case, y=-4.Though this doesn't affect much in this case,but for higher velocity and extreme cases...

Summary: Does the image distance q in the lens-maker's equation mean where real images form or where any image at all forms? If the former, what separates the real image from all other reflections? Hi all, I attached a series of images taken with a camera for a concave mirror, the Pasco...

Summary: at what circumstances the kinetic energy equation can be applied? My teacher says that, when a constant force is applied and the object moves by d meters, then the work done can be expressed 1/2mv2 where v is the final velocity. But, what happens if the object moves in a constant...

I am used to the usual definition of the Jacobian (when the talk is about derivatives) as the Jacobian matrix for multi-valued functions. However, in the 1995 edition of the introductory book "Basic Training in Mathematics: A fitness program for science students" on page 45 , equations 2.2.22...

Given is a function ##P(E)## and its derivative ##f(E)##. Writing ##E## in terms of ##v## according to ##E=\frac{1}{2}mv^2## gives the derivative ##g(v)=f(E)mv## and ##dE=mvdv##. My issue arises from the premise that I learned; Integrals and derivatives are based on steps of a fixed constant...

In Einstein's twin paradox,the solution comes like this: The twin on the spaceship de-accelerates his spaceship first and then accelerates in the reverse direction.This means his reference frame is not inertial hence he doesn't measure greater time interval as the other twin does...

The magnitude of cross product is defined of vector A⃗ and B⃗ as |A⃗×B⃗|=|A⃗||B⃗|sinθ where θ is defined as the angle between the two vector and 0≤θ≤π.the domain of θ is defined 0≤θ≤π so that the value of sinθ remains positive and thus the value of the magnitude |A⃗||B⃗|sinθ also remain positive...

The image attached above from a textbook, explains that we should refrain from using (a+b)/2 while applying Bisection method but I am unable to get the reason why it is asking to do so? While the image above is from another textbook. This book uses (a+b)/2. I am really confused by two different...

So changing magnetic fields induce electric fields (Faraday's law when the magnetic field is changed by either moving the source or by changing the current in the source that's causing the magnetic field, ie. we're not moving the conductor where an emf is induced so there's no f=qvXB). Also...

Greetings all. I just got confused by the following. Consider volume integral, for simplicity in 1D. $$ V(A) = \int_{A} dz. $$ If ##z## can be written as an invertible function of ##x##, i.e. ##z=f(x)##, we know the change of variables formula $$ V(A)=\int_{A} dz= \int_{z^{-1}(A)} |z'(x)|dx...

In the Wikipedia article https://en.wikipedia.org/wiki/Bernoulli_number on Bernoulli’s numbers, it explains that there are two conventions which differ only at m=1. Then it says… Under “explicit definitions”, it gives, for m>1 So, it seems pretty straightforward that they are saying that...

First I'll give some context about how the book's written as many books are presenting it in different ways. Reference: CRYPTOGRAPHY AND INFORMATION SECURITY, THIRD EDITION By PACHGHARE, V. K. Confusions: 1) Why is Expansion Permutation called so? The name sounds very contrary to what...

hi guys I am trying to learn special relativity and relativistic quantum mechanics on my own and just very confused about the different conventions used for the notation!?, e.g: the four position 4-vector some times denoted as $$ x_{\mu}=(ct,-\vec{r})\;\;or\;as\;x_{\mu}=(ict,\vec{r}) $$ or...

Hi, In my calculus book,I found this vector form of line equation in space (bold means vector): Given point (x1,x2,x3) lies on line L & v=<a,b,c>, then equation of line is : r = <x1,x2,x3> + t <a,b,c> with t any number. Now, my question if I plug any number for t, then result will be vector...

I'm studying this for poker test. This should not be memorized as this has 3,4 and 5 digit versions. Memorizing all of them isn't possible. So I need a way to calculate them. I'm trying to learn through this example. I'm not getting the process(I know math behind it ie permutations...

https://lh5.googleusercontent.com/47guV-L3yY2ZevuNEwk1wC9t9rJjQw0bXNHug16ah2EQ2XyLTAzqrBZcDMEwzFSd1mR_jFDTOFyG1GVHT8p1G4tPPRkRtqtOcOGXTb3UrildRHMayRznHaFQD9RdCdjeuEvyM-FkvQ_U3GLBHGVgkFY These are the steps of indexing in Lucene given in our syllabus-...

The van der pol non-linear equation is given as-: y''=A(1-y²)y'-By y=amplitude The analysis given by the book is this-: When y²<1 i.e when y is small A(1-y²) is negative. A(1-y²) is called damping term. I don't understand how is it negative? It obviously becomes positive in this case...

Been a long time I studied physics that had anything to do with mechanics, so I'm now in need of memorizing almost everything. So I am seeking for some guidance here. This is "system simulation/modeling/discrete event system simulation/etc" type of subject. The first thing that I didn't...

This is the Two-Balloon Experiment: https://en.wikipedia.org/wiki/Two-balloon_experiment#cite_note-MW78-1 The claim on Wikipedia which I am a little confused over is that when 2 balloons (at the 2 red points) are connected via a tube, the smaller balloon at a higher pressure would push air...

Hi, I'm rather confused with the wording in Perry's Chemical Engineers' Handbook regarding "outer tube heated" and "inner tube heated" in double-pipe heat exchangers. Obviously both are opposites of each other, so I'd like to ask using "outer tube heated" as reference. When we say "outer tube...

So I'm trying to understand the sound horizon measured at recombination and the sound horizon measured with BAO. Here is what I've gathered (PLEASE tell me if I'm wrong and if you could please explain, I've been trying to read but can't find a clear explanation): ~r(z*) is measured using CMB...

The reason I'm posting this is because I'm confused about the reasoning behind the equation. For oppositely charged particles, wouldn't work done increase with distance? According to this equation you get a higher magnitude of work done the smaller the distance. How can that be? I got the answer...

When we take the x-axis parallel to incline surface its clear that the horizontal component of weight is causing the block to come down but when we take the standard orientation its not so clear to me. Is horizontal component of ##F_N## causing the block to come down? <Moderator's note: Use of...

I am calculating it like this: 𝑦=ℎ0−0.5𝑔𝑡^2=0→ℎ0=0.5𝑔𝑡^2→𝑡=sqrt(2*ℎ0/g) 𝑥=𝑣0*𝑡→ substituting t →𝑥=𝑣0*sqrt(2*ℎ0/g) 𝑑𝑥/𝑑ℎ0=𝑣0/(𝑔*sqrt(2*h0/g))=0 for maximum ℎ0=0. confused. can someone tell me how I am calculating this wrong?

My doubts are as follows-: -> Why frame n is not segmented to blocks? -> Why no inputs from (n-1) side for block matching? -> What do we do in prediction error coding? Source-: https://homepages.inf.ed.ac.uk/rbf/CVonline/LOCAL_COPIES/AV0506/s0561282.pdf I have read this many times but that...

I'm confused about voltage. According to this equation, decreasing distance would increase the voltage between two oppositely charge particles, but doesn't increasing the distance increase the potetnial energy between the two particles because the amount of work done would increase with...

I’m getting confused somewhere, and I’d be obliged if someone could pinpoint my error. 1. At or near the Big Bang, everything was so close as to be within each other’s light cones. 2. All parts of the cosmos are now outside of some other parts’ light cones. Therefore, 3. Something traveled...