Relationships Definition and 173 Threads

Hello, I'm trying to get a hang of the defintion presented in Arfken - Mathematical Methods for Physicists for 3 dimensional rotations (a setup for an introduction to tensors). That being said I'm a Physicist and I'd like a component approach if possible to the explanation. They give: A_i ' =...

can you help me how to formally present a solution to this problem show that $j^2=-1$, $j^3=-j$, $j^4=1$ and $\frac{1}{j}=-j$, $\frac{1}{j^2}=-1$, $\frac{1}{j^3}=-j$, $\frac{1}{j^4}=1$. From the result of these, evaluate $j^{2312}$ and its reciprocal. sure I can solve for $j^{2312}$ and its...

Homework Statement The problem: Derive (3.3) without reference to (2.3) or (2.1). (2.1): F/P = (1 + i)^n (2.3): F/A = [(1 + i)^n – 1]/i (3.3): (F/A, i%, n) = (F/A, i%, n_1) + (F/P, i%, n_1) + (F/P, i%, n_1 + 1) + . . . + (F/P. i%, n – 1) (n > n_1) The solution (which also...

Just curious: Are there any unique relationships b/w the inverse of a function and the original, specifically when considering the derivative and integral?

This is a more general question: is it always true for a mixture that if we define M(average) such that m(total) = n(total) * M(average), where n(total) is the total number of moles of species in the mixture (summed over all species) and m(total) is the total mass of the mixture, then M(average)...

I was imagining in the future with technological and moral advancement, there might be a drive to engineer an ecosystem without conflict an pain i.e. no predatory or parasitical relationships. It would only be a natural progression from veganism to wish to stop animals from causing pain to...

Hi all, studying for a physical chemistry exam tomorrow morning and I'm getting really confused. I am hoping somebody has an easy to understand explanation of How a lot of this stuff works. specifically the relationships between ΔH, ΔU, q & W and constan P,V & T i.e. if P is constant how...

I come across some odd stuff online... ... OK there's a typo for the 5 ... should be ##\small [\sqrt{9}]!-(9/9)## and the one for 7 looks a bit forced... What I'm wondering is if there are other sets that do something like this ... i.e. so for a given integer Z, we can find another integer...

As gravity law says: F=G( (m1*m2)/r^2). That means that power between two objects with more mass is biggest. Why? It is because they have more atoms? Thank you.

1.are the following sets a finite sets? if yes why? if no why? a. the set of points on a given line exactly one unit from a given point on that line. b. the set of points in a given plane that are exactly one unit from a given point in that plane. i'm confused with the part saying "one unit...

I don't understand why they do, because it doesn't necessarily mean that one tuple is tied to several instances of the multi-valued attributes from another table.

Homework Statement Based on the diagram attached, how do the values of current, I and voltage, V change when the sliding contact S of the rheostat is slowly moved from X to Y?Homework Equations Ohm's Law R=V/IThe Attempt at a Solution I used Ohm's Law to solve this question. My answer was: I...

Homework Statement I know for example that a=dv/dt and v=dx/dt. I was wondering whether there are similar relationships for things in electrostatics. I have to internalize all of these formulas (for electrostatics), so I was hoping to understand them in a calculus-based sense in order to...

Hi guys! So I've just recently started learning about phase relationships for inductors and capacitors in an AC circuit. But a few things keep bugging me: Say we have a RL circuit (a resistor + inductor + voltage source all in SERIES), and we we're asked to draw a phasor diagram for the...

"Weather Balloon" and "Scuba Diving" relationships Hello so I am suppose to state any relationships between a "Weather Ballon" and "Scuba Diving" those could include equations, laws, both rely on a source etc. I know that for the weather balloon the higher you go up the less pressure there is...

I apologize in advance for the length of this post, if you wish to reduce reading skip to paragraph 5. Or if you are super lazy, the final paragraph. I've had long running difficulties with these classical concepts. Not to say I can't apply or use them. I've taken three different mechanics...

Homework Statement Does anyone know any laws equations or any other relative information between a weather balloon and scuba diving. I need to state their relationships and how the laws and equations can be used in our daily lives. Homework Equations Henry's Law, I'm not sure what else...

Homework Statement 2. Let R1 = {(1,1),(1,2),(2,3),(3.4), (2,4) } and R2 = {(1,1),(2,2),(2,3),(3,3),(3,4) } be relations from {1,2,3} to {1,2,3,4} R1⨁ R2 Homework Equations The Attempt at a Solution R1⨁ R2 = {(1,2), (2,2), (2, 4), (3,3)} Is this correct?

So far in my physics education I've developed a basic understanding of two nuclear models, the liquid-drop model and the shell model. I read something a while ago (don't have the text on hand to quote the exact phrasing, unfortunately) that seemed to imply, in a couple of places, at least...

how can you tell if the frictional force is great enough to keep a car turning a curb in circular motion based on the coefficient of friction and the normal force?

Homework Statement I have been stuck on the following question for a while now, particularly part B and C, and I'd like some help with it please. I've completed part A already. The Question: (A) Combine the following TdS equations: TdS = C_{v} dT + T\left(\frac{\partial P}{\partial...

There are 2 operators such that [A,B] = 0. Does [F(A),B]=0 ? Specifically, let's say we had the Hamiltonian of a 3-D oscillator H and L^2. We know that L^2 = Lx^2+Ly^2+Lz^2, and it is known that [H,Lz] = 0. Can we say that since H and Lz commute, H and Lz^2 also commute, by symmetry H and...

Hey everyone, I was wondering what you could tell me about the relationship between hyperbolic paraboloids. I have listed a set of 3 equations and was wondering what I can do with them? Can I solve for z, can I get the intersection of the equations? Can I get generalized solution of any kind...

I have put this post in academic guidance because I am not looking for relationship advice, but for info about how easy it is keep friend and family ties when moving to study somewhere completely new, as well as the practicalities involved. I'm considering graduate study in the USA(I'm from...

question: "In laboratory experiments, graphs are employed to determine how one measured variable depends on another. These graphs generally fall into three categories: linear, semilog (logarithmic vs linear), and log-log. Which type of graph listed in the third column below would NOT be the best...

Homework Statement I don't understand how to answer these questions. My notes are a bit confusing... What is the relationship between time for an object moving at a constant (uniform) velocity? What is the relationship between velocity and time for an object undergoing constant...

Adiabatic process: a process where no heat is gained or lost. it is my understanding, however, that this is a hypothetical system. There is no insulator on Earth good enough to allow this system to exist, except to approximations. So, what happens is you have a system where whatever is...

Suppose we have [J_i,J_j] = \sum_k \epsilon_{ijk} J_k and [L_i,L_j] = \sum_k \epsilon_{ijk} L_k 1st question, I am right in thinking that J represents Eingavalues for spin 1/2 particles... next... Computing the commutation relations, I find that \sum_k \epsilon_{ijk} (J_K + L_K - L_k -...

Hi folks, I am seeking to hone my skills & deepen my knowledge and understanding of the relationship between f(x) and f'(x) and f''(x) To this end, I have made a workhorse cubic with four sliders (using geogebra) attached to co-efficients a, b, c and d respectively. My study plan is to hide...

I'm using variable substitution to solve a problem. Finding the relationships between the first derivatives of both sets is straightforward using the chain rule, but I'm uncertain if the way I'm determining the second derivative relationships is correct. Given a description of a problem...

Homework Statement A rock moves so that its coordinates at the time t given by the relationships x=25t y=20t-5t^2 How high is the stone at its highest? Homework Equations - The Attempt at a Solution I got the distance the stone flies (horizental ground) by setting y=0, that gave x=100m...

Homework Statement Given the following relation for θ: \frac{I_{\pi}}{I_{\sigma}} = \frac{\sin^2{\theta}}{1 + \cos^2{\theta}} solve for θ Homework Equations \cos^2 x + \sin^2 x = 1 The Attempt at a Solution If I solve this I get: \theta = \arcsin{\left(\pm\frac{2...

Homework Statement the info/problem are in the attached images Homework Equations The Attempt at a Solution i'm not sure what to state.

Homework Statement Build a steel drum (right circular cylinder) of fixed volume V. The cost of the material is the same for the top and sides (same gage and same cost) and disregard waste. What is the relationship between the height of the radius that will minimize the surface area of the...

I am currently doing a senior physics experiment where we are stopping a computer fan (with steel glued on to the blades) with an electromagnet, and measuring the time it takes to stop at varied resistances (using a rheostat). I also need to calculate the angular and linear momentum and...

I am currently doing a senior physics experiment where we are stopping a computer fan (with steel glued on to the blades) with an electromagnet, and measuring the time it takes to stop at varied resistances (using a rheostat). I also need to calculate the angular and linear momentum and...

Two masses will be tied together with a string and a “horizontal” mass will be swung in a horizontal circle while the “vertical” mass provides the tension force on the string . This experiment will have 3 trials, each with its individual 4 experiments. During each one of the trials, there will...

Hi, I have a set of numbers. Some of the individual numbers have harmonic relationships to others in the set but not all. What is the quickest way to determine if two or more numbers in the set have harmonic relationships?

Homework Statement http://img221.imageshack.us/img221/604/yesor.jpg My question is: how would I know that F_B has to act perpendicular to F_A? Are there any rules or is there any logic that I am supposed to know?

Homework Statement A) Suppose that we have 3 quantities, x, y, and z. An increase in x by a factor of F is followed by a subsequent increase of y by a factor of 2F. Furthermore, the very same increase in x by a factor of F results in a subsequent decrease of z by a factor of F/2. Similarly...

I'm wondering if someone could recommend some number relationships that I could look into. I don't have loads of math under my belt quite yet. I'm currently in college trigonometry and college algebra. I start my calculus classes next semester and my physics classes the following semester...

When exactly is one supposed to begin building relationships with their professors, and how? Thus far, I have not needed to interact with my professors beyond them merely lecturing me. I go, learn the material, write their tests, and that's the end of that. I understand that this is something...

How do i calculate pressure? P1 = 3atm .... P2 = ? V1 = 4 m3...V2 = 2 m3(half original) T1 = 300k...T2 = 400 how do i calculate pressure when V2 changes? Thanks for any help

This is one of those things (too many of them) that I have been thinking about... Ever since I school I have always wanted to move to some other country that is more populous, and eventful. At the same time I have been trying to form relationships. I feel like it is probably inappropriate to...

Can some one check my work, I'm not sure if I am understanding how internal energy heat and work are related. Work is defined to be positive if the system does work on the environment. Q=\Delta U +W I am showing if the process is positive, negative or 0. Also this is suppose to be an ideal gas

Egads, just for fun I checked out match.com's site for seniors. AAARRRGGGHHHH! Why do they all look like Larry the Cable guy? I selected men from 5'5 to 7'11"", agnostic/atheist, between 50-65 years old, intelligent, body type slim, average, or a few extra pounds, for pen pal, friendship or...

Time and relationships (or, "consciousness" per Martin Heidegger) In this forum we focus again and again on questions about “consciousness” – and I think there’s a deep reason why the meaning of this term tends to remain so unclear. Basically what we’re trying to understand is how our...

Anyone here ever have anything like that? I'm not the best looking man in the world, but what is this about? I've never been involved with a woman who was already involved. But married women often, I do mean often, cozy right up to me real fast. I'm getting the impression that the guys in my...

Homework Statement Say z = f(x,y) where x = r cos(theta) and y = r sin(theta), how would I go about rearranging this to find r(x,y)? Homework Equations The Attempt at a Solution I thought maybe I should find r in terms of x and y and then equate them, but I don't think that's...

i don't understand how a graph with 1/x^2 shape when the recipricol of the x-axis is ploted gives a linear mx+c graph. what other relationships can you derive a graph from a graph?