# What is Relationships: Definition and 173 Discussions

The following outline is provided as an overview of and topical guide to interpersonal relationships.
Interpersonal relationship – association between two or more people; this association may be based on limerence, love, solidarity, regular business interactions, or some other type of social commitment. Interpersonal relationships are formed in the context of social, cultural, and other influences.

View More On Wikipedia.org
1. ### Understanding equations and their relationships (multiple equal signs)

Hello all, I'm doing some major review for a upcoming final and am making sure to fill in some arithmetic gaps. I am trying study using only my equation sheet given for my course. I am having a hard time understanding the relationships between some of the equations that are given...
2. ### B Algebraic Operations on Energy-Momentum Relationships

This is just basic algebra for the energy-momentum relationship, but the calculations confuse me. May I ask what is wrong with my concept or calculation causing the following problem. Maybe it's because I'm getting older, my ability to think and calculate has declined...
3. ### B Strange Relationships of the Circle

PHOTOGRAPHIC REDUCTION OR ENLARGEMENT The proportions of a circle never change. But... Question: If a circle is always a circle, then how is it possible that the S/L and {[S/L]/R} ratios of a circle can vary as a function of the radius size?
4. ### MHB How can I solve this problem with relationships?

I have a number, the high, that could be positive, negative or zero and can be a fraction. I have another number, the low, that could also be positive, negative or zero and can be a fraction. I have another number, the variable that is between the high and the low. It is safe to say that the...
5. ### Perimeter relationships -- Dividing a rectangle into 4 triangles

Hello, I am studying geometry with an app on my phone. There was a difficult problem, which had two different explanations for solving. I correctly understood one explanation. I reviewed later without memory of the problem at all. There was an obvious attempt from what was learned previously...
6. ### Explaining Pressure & Depth Relationships in Fluids Using Halliday & Resnick

Homework Statement:: Not a homework problem. I need a conceptual explanation. Relevant Equations:: ##p_2 = p_1 + \rho g(y_1 - y_2)## (1) ## p = p_0 + \rho gh## (2) When deriving equation (1) we use the example of a submerged cylinder in static equilibrium with its top at position ##y_1## and...
7. ### A Exploring Basis Vector Relationships in Incompatible Propositions

If propositions ##p,q\in{\mathscr L}_{\mathcal H}## (i.e., the lattice of subspaces of ##\mathcal H##) are incompatible, then ##\hat p\hat q\neq\hat q\hat p##. But since it's a lattice, there exists a unique glb ##p\wedge q=q\wedge p##. How are they mathematically related? In particular, I...
8. ### Adiabatic PVT relationships - why Kelvin and not Celsius?

Homework Statement Here's a derivation of the adiabatic PVT relationships. QUESTION: When solving adiabatic PVT homework problems I found that I needed to express temperature in Kelvin, rather than Celsius, to get the right answers. Where in this derivation should this be specified, and how...
9. ### Angle relationships of a blazed diffraction grating

I am trying to understand how a blazed diffraction grating works and came across a deduction I don't understand. I believe that you don't need to know much about optics to answer this question as it is more geometry related. I have the diagram below of a diffraction grating with all the relevant...
10. ### Help with deriving relationships starting with the identity a^x = e^xlna

Hi there - it has been quite a long time since I took Calculus. I am trying to brush up and understand where to start with this question: Starting with the identity a^x = e^xlna, derive the relationships between (a) e^x and 10^x; (b) ln x and log x. Note: log x = log10 x unless otherwise...
11. ### I Exploring Dual Vector Relationships: f(\vec{x}) and \mbox{d}f_{\vec{x}}(\vec{y})

f(\vec{x}+\epsilon \vec{y})-f(\vec{x})=\epsilon \mbox{d}f_{\vec{x}}(\vec{y})+O(\epsilon^2). Is ##\mbox{d}f_{\vec{x}}(\vec{y})## dual vector and why? Is it because ##\mbox{d}## is linear transformation? Also why equality f(\vec{x}+\epsilon \vec{y})-f(\vec{x})=\epsilon...
12. ### B Speed of Light & Virtual Particles: Is There a Connection?

Are there any relationships between the speed of light and the virtual particles in the vacuum? I mean that, Can I call it as a medium of propagation of a light beam?
13. ### MHB Finding the shortest Hamiltonian cycle in a complete graph

[SOLVED] Okay so I have an assignment to do with only 1 question left incomplete because we have not covered this section yet, non the less it is due soon and I can't find any helpful resources on how to do this question. I know it has something to do with graphs but I'm still lost. So if...
14. ### Centripetal Force Homework: Effect of Increasing Mass on Revolutions

Homework Statement Refer to this pic https://www2.southeastern.edu/Academics/Faculty/rallain/plab193/page1/page37/page37.htmlor I was wondering how increasing the mass at the bottom would influence the time taken for the object to complete 10 revolutions, my hypothesis was that it would...
15. D

### B What is a Linear Relationship?

So, my pre-algebra class is learning about linear relationships, but can anyone help explain it to me a little more? I tried google, but honestly, I want to hear other people before jumping to conclusions. So, my question is, what is a linear relationship?
16. ### Relationship Graph Between Frequency and Tension

Homework Statement After plotting a graph with frequency (f) of a wire on the y-axis and tension (C-Clamps) on the x-axis, a root curve was obtained. If the trend of the line is maintained, does it pass through the origin? Should it? Note: graph attached Homework Equations f is proportional...
17. ### Determining Relationship Between Two Variables

Homework Statement An experiment was conducted to determine the relationship between metre-stick projection from a table (L) on the vertical depression of the free end (y). Using the collected data, graphs had to be plotted until a linear relation was found, and the equation of the line had to...
18. ### Finding Proportional Relationships using Log-Log Graphs

Homework Statement [/B] Given a a log-log graph with 8 lines, you must determine the equation of each line in its original relationship. The slope of the graph (m) gives the power of the original relationship. Examples: if m = 2, 3; then y ∝ x^2, x^3, etc. if m = -1, -2; then y ∝ 1/x...
19. ### Problem in understanding Phase Relationships

What will be the graph of v=Vmsin(wt+theta) and v= Vmsin(wt-theta) and why?:oldconfused:
20. ### I Q re equilibrium energy relationships for a mixture

The question I am asking comes from a side issue in another thread. I am seeking an explanation that will explain my wrong understanding of the physics. https://www.physicsforums.com/threads/q-re-wiki-equation-for-t-x-t-2.903984 In post #19 of the above thread I describe my uncertainty about my...
21. ### Relationships between Fourier coefficients

Homework Statement I have ## f(t) = \sum\limits^{\infty}_0 a_{n} e^{2 \pi i n t} ## [1] and ## g(t) = \sum\limits^{\infty}_0 b_{n} e^{ \pi i n t} ## [2] I want to show that ##b_n = a _{2n} ## Homework Equations see above. The Attempt at a Solution [/B] So obviously you want to use the...
22. ### Engineering Phase relationships in Thévenin circuit

Homework Statement 2. Homework Equations 3. The Attempt at a Solution [/B] For part (c), should the phasor diagram just have everything on a straight line, save for the Rt and Vrt? Honestly not sure how to attempt part (d) as we never really covered phase relationships in lectures, just...
23. ### I Voltage Relationships in Diodes: Exploring Bandgap, Temp & Flux

Hello, does anybody know if there is a connection between the voltage (work) for the bandgap of a diode, the temperature voltage and the flux voltage?
24. ### Proving function f(x) is a PDf given integral relationships

Homework Statement Prove that ##\int _0^a\left(\frac{f\left((sin(ln(c))x\right)+\sqrt{\cos \left(e-\pi ^2\right)}}{\ln \left(\pi ^2-e\right)+\pi ^2\sqrt{\cos \left(e-\pi ^2\right)}}\right)dx## is a probability density function (when ##a=\frac{1}{\pi ^2}##) given that ##\int _0^{\pi...
25. ### B Help with relationships in equations ΔX/L = λ/d?

Can someone explain to me the relationships with this equation (and probably any other equation). For example i don't fully understand how the ΔX is inversely related to the d. I have an idea of how this is so, however i can't really picture it with numbers. If you could explain the...
26. ### B Understanding In-Phase and Definite-Phase Relationships

I'm confused about in phase and definite phase relationships. Please correct me if I am wrong. 1. Two waves of 360 degree phase difference are in phase. 2. Two waves that are 180 degree out of phase are classified as having definite phase relationships.
27. ### Understanding relationships in Induction Heating circuits

Hi Everyone, I will try to keep this short as I can and to the point, there is a bit of a back story, so bear with me. For the last 18 months (on and off as life allows), I have been trying to develop an induction heating assisted machine for 2 reasons. 1 - To learn as much as I can by doing...
28. ### I Proving Set Relationships: A-B ⊂ A & (A∩B)c = A∪Bc

Can some please explain to me how to solve these two questions? Let A, B and C be any sets, prove that: (a) A-B ⊂ A (b) (A∩B) complement = A complement ∪ B and (A∪B) complement = A complement∩ B complement.
29. ### B Quadratic term's relationships

I know everyone here must know this but it is a new revelation to me and very interesting. But I have a question about the reason behind the following... Take ##x^2+10x+10## for example. Any coefficient of ##x^2## modifies the "zoom" of the parabola, for lack of a better word, and determines...
30. ### Relationships between the roots

A quadratic equation in this format x² - 2 A x + B² = 0 can be modified and expressed like: x² - 2 (u) x + (u² - v²) = 0. The roots x1 and x2 are therefore: x_1 = x_1(u,v) = u + v x_2 = x_2(u,v) = u - v Or: x_1 = x_1(a, b) = \frac{a+b}{2} + \frac{|a-b|}{2} x_2 = x_2(a, b) = \frac{a+b}{2} -...
31. ### How do proportional relationships derive physics equations?

in particular f=Gm1m2/r^2?sorry if my question sounds very irrelevant.if f is proportional to m1m2 it implies f=some constant times m1m2.okay.at the same time f is inversely proportional to r^2 .so force = some other constant times 1/r^2.okay.but in most places i see that what is done is they...
32. ### Definable relationships between 4 variables with 2 equations

Hi, I saw a derivation in a book and I don't see the logical connection. Suppose 1.\ \ a=b \text{ and } 2.\ \ x=y Then 3.\ \ a-b= \lambda (x-y) makes sense to me since 0=\text{Anything}⋅0 However they said "similarly" 4.\ \ a+b= \mu (x+y) , and this I don't understand. To me a+b= 2a...
33. ### Relational DB: Examples of When 1:1 Should be Kept Seperate versus Together

Hi All, The "best practices" in RDB on 1:1 relations between entities are that the two entities E1, E2 should be merged into a single one by default, i.e., unless there is an overwhelming reason to keep them separated. Can someone provide illustrating examples of when the two entities...
34. ### Show that [J_a,G_a] = 0, commutation relationships

Homework Statement Using the given equations prove that Homework Equations , ,[/B] + (it won't render together in Maple for whatever reason) The Attempt at a Solution So I started with expanding the Jacobi Identity (the third relevant equation) and through tedious algebra arrived at...
35. ### Relationships between QM and QFT Particles

What are the mathematical relationships (if any) between the particles as described by Quantum Mechanics and the particles described by Quantum Field Theory? A specific question related to the general question above arose in post #14 of the thread: How can a particle be a combination of other...
36. ### The Origin of Life, the relationships between life and Energy

So I have been looking around throughout the physics forum and other sources and still can't seem to find a good general explanation of how Life, and energy are related. First let me propose some definitions to help further our discussion and clarify what i mean. Life, in the way it concerns us...
37. ### Relationships between these variables in a gyroscope?

this is the gyroscope I am talking about: the variables are: -the angular velocity of the disk -the angular velocity of precession -the amount of force "applied" by the disk upward or downward
38. ### Angular Momentum commutation relationships

It seems to be implied, but I can't find it explicitly - the order in which linear operators are applied makes a difference. IE given linear operators A,B then AB is NOT necessarily the same as BA ? I thought it was only with rotation operators that the order made a difference? I noticed this...
39. ### MHB Reversing recurrence relationships

A couple of times I have come across the suggestion that numerically evaluating a recursive relation in reverse can be a valuable approach. I can see this where, for example, the boundary conditions at one 'end' are inaccurate or undiscoverable. However, while the arithmetic of manipulating...
40. ### Fundamental Relationship Between Time and Space Derivatives

Many physical laws involve relationships between time derivatives to space derivatives of one or more quantities. For example, thermal conduction relates the thermal energy time rate of change [dQ/dt] to temperature space rate of change [dT/dx]. In fluid flow, the Navier-Stokes Theorem relates...
41. ### Finding relationships of inner products with operator

Homework Statement Homework EquationsThe Attempt at a Solution a) I am having some trouble understanding the notation. I'm uncertain whether it should be $$\langle {f} | \hat {O_{2}} | g \rangle = \int_{-\infty}^{\infty} f^{*}g \frac {dg}{dx} dx$$ or  \langle {f} | \hat {O_{2}} | g...
42. ### Proportionality relationships in Mersenne's Law

Hello. Is anyone able to explain the 3 proportionality relationships present in Mersenne's Law, specifically in a conceptual sense? Mathematically they are easier to understand however it is difficult to understand them conceptually relating to strings. Any help would be appreciated. :)
43. ### Relationships between potential energy and distance

Why is gravitational potential energy directly related to the distance of between two objects (mgh, so as distance increases, potential energy increases) while electric potential energy is inversely related (kq1q2/r,distance increases, electric potential energy decreases)?
44. ### In Search of Causal Relationships

I'm hoping for some help finding an alternative forum for this search. As a non-physicist pathologically curious about admittedly philosophical questions regarding physical concepts, I often come to PF for clarification of ideas that I'm chasing. Unfortunately, these ideas almost always boil...
45. ### Relationships between integration limits of Maxwell Equation

I don't understand the relationships between the integration limits of Maxwell Equations (specifically the ones in integral form in matter) Is this related to Stokes/Gauss' Theorems? or something else?
46. ### References for Improving and Maintaining Relationships

The following are some good references that I recommend on building and maintain relationships: Dating: Every person should read about attachment theory. An understanding of attachment theory allows one to not only understand his or her self, but it will also help understand partners...
47. ### Analysis of weight and its relationships

Homework Statement Explain in details in one paragraph (without using formulas) what effect the weight of a block has on the normal force, frictional force, and coefficient of friction. How would you increase or decrease the coefficient of friction? Homework Equations Give me any...
48. ### How does weight affect air resistance?

How does weight affect air resistance? [i.e A heavy feather falling v.s a light one}Please be simple
49. ### [resolved] Partial Derivative Relationships

I'm trying to come up with an expression for \partial y / \partial x where z = f(x,y). By observation (i.e. evaluating several sample functions), the following appears to be true: \begin{equation*} \frac{\partial z}{\partial x} + \frac{\partial z}{\partial y} \cdot \frac{\partial y}{\partial...
50. ### Unraveling Diffraction: Understanding Variable Relationships

I'm having trouble understanding the relationships between various variables at play in diffraction. Say you have diffraction with one slit, two slits, and a grating as shown below. So 1) The Amplitude of each peak is directly proportional to the intensity of the incoming waves. This makes...