Relationship Definition and 999 Threads

Hi and thanks for your help in advance Math Help Board Members, I have this quote: "The extractor of the 0.1L unit has a volume of 100mL and an internal height/diameter relationship of 19 (H8/D8=19)" Sorry to sound so silly, but can someone please help me work with this equation? I would like...

Hello! I'm attempting to find the mass of a red giant and an AGB star. I have their luminosities, radii, and the masses of their cores. I'm looking for some kind of mass-luminosity relationship. Do you know of any, or do you know of a good place to look for such equations? Thanks!

Hi people, So I've been digging into music theory and want to understand the basic reasons for how it is constructed. I've come across a particular relationship but I can't understand the reason it exists. A quick musical lesson: Imagine you've got a pure musical note: let's say C. From a low...

It seems that QED treats the matter and EM fields as independent yet coupled fields. On the other hand the EM field equations emerge immediately under local change of the phase of the matter field, exactly as required to reestablish local (gauge) invariance. From that perspective it almost seems...

Great. I will be moving into general relativity next. Before that, I will touch on one more topic: energy and mass, a topic of special relativity, and the formula ##E=m c^2##. There is rest mass ##m_0## (the amount of stuff an object is made off, an invariant) and the inertial mass...

Common diagrams for the magnetic and electric field components of EMR show the fields at right angles in space with peaks aligned along the axis of propogation, for example Wikipedia here: https://en.wikipedia.org/wiki/Electromagnetic_radiation. However, Faraday's law says the E field depends...

Choice D is obviously wrong therefore leaving us with choices A, B, and C. Can someone explain the relationship of the three variables stated above (mass, volume, and acceleration due to gravity)? Thank you.

I came to understand that Planck Distribution is necessary to explain UV catastrophe. With that necesity in the background, the distribution equation eventually suggests that the energy emitted by black body has discret values. But I wonder how that's related to E=nhv. I understand that "n" also...

What about if the speed parameter in a Lorentz boost were in fact related nontrivially to a Galilean speed ? More formally ##L(v_L)=G(v)\circ F## where L is a Lorentz boost with Lorentz speed ##v_L##, G is a Galileo transformation with speed ##v## and ##F## is still an unknown linear...

I set up an experiment where I put a fixed quantity of water in a cylinder fitted with a movable piston. I slowly add heat to the system, as expected both the temperature and the volume will increase but the volume will not increase significantly (steep line), until some point where some gas...

Summary: What is the relationship between paramagnetic field strength at a given distance from the source? Apologies if I have put this in the wrong topic. And apologies if the question is unclear, I am a biologist by background attempting to do some physics here! Basically I am looking to...

Apologies if this has been discussed elsewhere. I know a Poisson process implies a Poisson distribution, but does a Poisson distribution imply a Poisson process? and does the absence of a Poisson distribution imply the absence of a Poisson process? TIA - Sunil

Can someone explain me (even in poor worda) the relationship between collision and relaxation? I mean, a structure is relaxed when the particles (or stars) inside have frequent collisions? Or not?An elliptical galaxy is a relaxed structure. Can i deacribe the internal stars with a...

Okay so I am having trouble understanding the relationship between Tension, Net Force, and Acceleration. For example, if two objects in a system are connected by a tension force and accelerating at the same speed, but with different forces acting on each object, would: 1. The net force be equal...

1. My book states that an increase in pressure on ice causes temporary melting. Could you explain the reasoning behind this/ the law that predicts this? 2. My book also states that if water is boiling in a flask and the outlet is blocked then temperature drops and boiling would stop unless more...

I understand that quantum objects have wave and particle properties. I know that k = 2π / lamda. I am simply not understanding the x-axis of a bandstructure plot of E(k) vs. k. I've read parts of a book by Roald Hoffman on this subject. In the book it is shown that there are infinite chain of...

Hi All, We all have experiences of using vacuum cleaner to clean carpet, floor, etc. and might probably have noticed a super intuitive phenomenon that as you move your vacuum cleaner suction hose closer to the floor, the suction force increases which helps you pull some of large trash off the...

I know this question has been asked, in several ways, many times before. I have read many of the posts. And still I do not fully understand the situation: is QM in any way a subset of QFT? Apparently no: QM uses position variables, while QFT does not. QM has the Born rule and a wave function...

So the equation for work is W = F * s F = m * a, so W = m * a * s Transferring this to units of measurement gives us: J = kg * m * s-2 * m Or simplified: J = kg * m2 * s-2 Transferring back to units of quantity: W = m * v2 How can that be correct? Obviously Ekin = 1/2 * m * v2. Where did that...

I would like to ask a question on whether there is a proportionality between volume of a balloon, and the time it takes to deflate. I have conducted several balloon hovercraft experiments. I need to find the relationship between the amount of air pumped into the balloon and how long the...

I was confused by the question below http://www.antonine-education.co.uk/Pages/Physics_4/Tests/Test%20on%20Fields.pdf if you look at question at question 1 section B same reasoning is used to answer this question as you can see the graph is a straight line?? but plotting r against T ^2/3 or...

On that sentence, cofactor of an element of a metric is derived. But I can not verify it. Here I attached the copy of the page.

Hi! I'm currently doing a project to simulate a water slope, and want to find the maximum speed of a person going downhill in function of the water flow. At first I thought using a combination of the Manning equation and the Newton Law for viscosity, through the sheet of water, but I'm in a dead...

Number of states in that volume of k-space, ##n(k)dk## is: $$n(k)dk = (\frac{L^3}{4 \pi^3}) \cdot 4 \pi k^2 dk = \frac{L^3}{\pi^2}dk$$. Then the notes state that by defintion, ##n(k)dk = n(E)dE##, and hence $$n(E)d(E) = \frac{L^3}{\pi^2}dk$$. I don't quite see why this is true - isn't it the...

which relationship exists between the coloumb energy and binding energy

My paper "Classical states, quantum field measurement", arXiv:1709.06711, has been accepted by Physica Scripta, https://doi.org/10.1088/1402-4896/ab0c53. The version as submitted to Physica Scripta on November 4th, 2018 is available as arXiv:1709.06711v5. I believe that anyone who puts some...

I have been thinking about the possibility of subglacial volcanism having a potential large impact on glacial ice mass, melting and climate in the past. Since there are volcanos all over the world, I thought there likely are plenty of subglacial volcanoes as well, but I find it hard to find...

I was reading about the Pendle Hill experiment by Henry Power and Richard Towneley showing the relationship between Volume and Pressure in gas that eventually became Boyle's Law. The higher they got the greater the volume became. My question is, was the gas measured in the barometer isolated...

I don't know GR so while answering the question if you prefer not to use that, I would be happy. In the Friedmann Equations, is energy density has an effect on curvature or vice versa? Or they are separate things and they don't affect each other? For example can we have an energy density...

Hi, I'm currently taking Chemistry 101 and came across this equation that seems to contradict what I've learned before. I don't know the name of it, but here is the equation and its implication. Now another equation we have learned is the Arrhenius equation, which is as follows: If I...

I have a question regarding the relationship between the reflectance and albedo of a material. What I Know: Both quantities are the ratio between the incoming and outgoing radiation from a material. Correct me if I am wrong, the reflectance of a material depends on the material while the albedo...

Homework Statement For one of my assignments I’ve been ask about the relationship between percent impedance and per unit impedance. Homework EquationsThe Attempt at a Solution I know that the x% is determined in transformers by short circuiting the secondary windings and slowly increasing the...

Homework Statement The relationship between pH and pOH, for pure water, at 25 ◦C is 14 = pH + pOH What is the corresponding relationship between pH and pOH, for pure water, at 70 ◦C? Homework Equations Le Châtelier's principle? [H+][OH-] = 10-14 [10-7][10-7] = 10-14 (25 ◦C) [10-n][10-m] =...

Hi community, The phase relationship is 0 for the shorter pendulae, 1/4 cycle for the pendulum in resonance and in anti-phase for the longer pendulae; relative to the driver pendulum. I have observed this but I can see it conceptually to an extent but wondered if anyone knows of a resource for...

Homework Statement Show that ##[\hat{L} \cdot \vec{a}, \hat{L} \cdot \vec{b}] = i \hbar \hat{L} \cdot (\vec{a} \times \vec{b})## Homework Equations ##[\hat{L}_i, \hat{L}_j]= i \hbar \epsilon_{ijk} \hat{L}_k ## The Attempt at a Solution [/B] Maybe a naive attempt, but it has been a while. I...

i got a bit lost in the responses to my last question so I am guessing this one is really going to be beyond me. Assumptions I have used for my questions are: · Speed of light = 299792.458 km/s · Hubble constant = 71 km/s/Mpc (I know about the tension of H0 being 68 and 73 but...

This is something related to my job. There are two components A & B both traveling the same direction but at a different velocity. I can find out the exact velocity of both the components when they just hit each other, thus relative velocity is known. Is there a way I find out the force...

I am reading Tom M Apostol's book "Mathematical Analysis" (Second Edition) ...I am focused on Chapter 12: Multivariable Differential Calculus ... and in particular on Section 12.4: The Total Derivative ... ...I need help in order to fully understand Theorem 12.3, Section 12.4 ...Theorem 12.3...

Homework Statement Taking my Electricity and Magnitism course right now and we are in the section in the book of the electric potential. I have some basic questions regarding work and potential energy. Lets say we are holding a ball 10m above the ground and release it. I am defining the ground...

There a relationships between angles to diagonals in a polygon?

Homework Statement Before diving into the quantum-mechanical superposition principle, let’s get some practice with superposition in classical physics. Consider an electromagnetic wave propagating in the z-direction, which is a superposition of two linearly polarized waves. The electric field...

The potential difference between two points is given ans the negative of integral of E(vector) <dot product> dl(vector) from initial to final points. Therefore, integral integral of E(vector) <dot product> dl(vector) from initial to final point should give the negative of potential difference...

Does this relationship come out anywhere interesting in math? Are there any anything interesting theories built with this at its foundations? $$2=2*1=2*\sqrt{1}=2*\sqrt{(-1*-1)}=2*i*i=2*i^2=-2$$

g(x,t) = e^{(\frac{x}{2})(t-\frac{1}{t})}=\sum_{n=-\infty}^{\infty}J_{n}(x)t^{n} and \left| J_{0}(x) \right|\le 1 and \left| J_{n}(x) \right|\le \frac{1}{\sqrt{2}} how to show that 1=(J_{0}(x))^{2}+2(J_{1}(x))^{2}+2(J_{2}(x))^{2}+... I don't have idea

Hello everybody, This is my first post. I've been working on a liquid rocket engine for a while, but I have never gotten to work on its feed system (fluid mechanics), until recently. We are using a very simple pressure fed system, and its main goal is to deliver the propellants at a specific...

There's a passage in Kumar's (excellent) book, "Quantum", which has me confused. He notes that Planck is aware that as the temperature of a heated poker rises, the colours change from red through to bluish white. Later in the passage, he refers to Herschel's earlier work on the relationship...

I was getting a bit confused with Ohm's law, and the relationship between the current, resistance and voltage/potential difference? From my understanding, current and voltage both increase or decrease together, while current and resistance do the opposite? I was then wondering if there was any...

When finding the fundamental for thin bars, the approximate equation (http://hyperphysics.phy-astr.gsu.edu/hbase/Music/barres.html) only refers to the length and thickness when calculating. I'm trying to figure out the frequency and node location along the length and width of the fundamental...

Why is it that for a 7th degree polynomial, the number of real roots is either 1, 3, 5, or 7?

I am aware that the negative derivative of potential energy is equal to force. Why is the max force found when the negative derivative of potential energy is equal to zero?