What is Property: Definition and 635 Discussions

Property (latin: Res Privata) in the abstract is what belongs to or with something, whether as an attribute or as a component of said thing. In the context of this article, it is one or more components (rather than attributes), whether physical or incorporeal, of a person's estate; or so belonging to, as in being owned by, a person or jointly a group of people or a legal entity like a corporation or even a society. Depending on the nature of the property, an owner of property has the right to consume, alter, share, redefine, rent, mortgage, pawn, sell, exchange, transfer, give away or destroy it, or to exclude others from doing these things, as well as to perhaps abandon it; whereas regardless of the nature of the property, the owner thereof has the right to properly use it (as a durable, mean or factor, or whatever), or at the very least exclusively keep it.
In economics and political economy, there are three broad forms of property: private property, public property, and collective property (also called cooperative property). Property that jointly belongs to more than one party may be possessed or controlled thereby in very similar or very distinct ways, whether simply or complexly, whether equally or unequally. However, there is an expectation that each party's will (rather discretion) with regard to the property be clearly defined and unconditional, so as to distinguish ownership and easement from rent. The parties might expect their wills to be unanimous, or alternately every given one of them, when no opportunity for or possibility of dispute with any other of them exists, may expect his, her, its or their own will to be sufficient and absolute. The Restatement (First) of Property defines property as anything, tangible or intangible whereby a legal relationship between persons and the state enforces a possessory interest or legal title in that thing. This mediating relationship between individual, property and state is called a property regime.In sociology and anthropology, property is often defined as a relationship between two or more individuals and an object, in which at least one of these individuals holds a bundle of rights over the object. The distinction between "collective property" and "private property" is regarded as a confusion since different individuals often hold differing rights over a single object.Types of property include real property (the combination of land and any improvements to or on the land), personal property (physical possessions belonging to a person), private property (property owned by legal persons, business entities or individual natural persons), public property (state owned or publicly owned and available possessions) and intellectual property (exclusive rights over artistic creations, inventions, etc.), although the last is not always as widely recognized or enforced. An article of property may have physical and incorporeal parts. A title, or a right of ownership, establishes the relation between the property and other persons, assuring the owner the right to dispose of the property as the owner sees fit. The unqualified term "property" is often used to refer specifically to real property.

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  1. binbagsss

    Delta property, integration by parts, heaviside simple property proof

    Homework Statement I am trying to show that ## \int \delta (x-a) \delta (x-c) dx = \delta (-a-c) ## via integeration by parts, but instead I am getting ##\delta (c-a) ## (or ##\delta (a-c)## depending how I go...). Can someone please help me out where I've gone wrong: struggling to spot it...
  2. wolram

    B Weird quantum property of empty space?

    https://www.sciencedaily.com/releases/2016/11/161130082804.htm Is there any other detection's to back this up?By studying the light emitted from an extraordinarily dense and strongly magnetized neutron star, astronomers may have found the first observational indications of a strange quantum...
  3. Mr Davis 97

    Wronskian Property: Linearly Dependent Functions

    Homework Statement If two differentiable functions are linearly dependent on the interval I, then their Wronskian is identically zero on I. Homework EquationsThe Attempt at a Solution We start with the definition of linearly dependence for two functions. ##y_1 = Cy_2## ##\displaystyle...
  4. G

    Checking a proof of a basic property of prime numbers

    Homework Statement Prove: If p is prime and m, n are positive integers such that p divides mn, then either p divides n or p divides m. Is anyone willing to look through this proof and give me comments on the following: a) my reasoning within the strategy I chose (validity, any constraints or...
  5. Andreas C

    B Weird Tangent Property - Is It Coincidence?

    I'm sure that I am not the first one to notice this, but I found that for angles between 0 and 90 degrees, tan(90-10^n) approximately equals 5.7296*10^(-n+1). Is that purely a coincidence?
  6. KetilT

    I What is the Simpler Name for Conserved Property of Spacetime?

    If we have come to realize that energy conservation is not the most general conservation law in our spacetime, isn't it odd that we don't have a simple name for the "real deal"? I bumped into this thought through Noether's theorem, which relates symmetries in fields to conservation of all kinds...
  7. L

    Interpret current density in plasma as material property?

    Homework Statement An electromagnetic wave propagates through a gas of N free electrons per unit volume. Neglecting damping, show that the index of refraction is given by n^2 = 1 - \frac{\omega_P^2}{\omega^2}, where the plasma frequency \omega_P = \sqrt{\frac{Ne^2}{\epsilon_0m_e}}.\quad(1)...
  8. M

    What algebraic property can I use here?

    Homework Statement [/B] example problem: 5 = [(x)(4+x)] / (4-x) answer: 5 Homework Equations Unsure what to use. 3. The Attempt at a Solution Not sure what my professor did, but I thought that if i multiply by the reciprocal of something, I have to balance by multiplying the other side as...
  9. K

    I Proving Matrix exponential property

    this is not a homework question, I just want to make sense of the equation here. Assuming matrix A is diagonal, If A_hat=T'AT where T' is an inverse matrix of T. e^(A_hat*t)=T'e^(At)T which implies, e^(T'AT*t)=T'e^(At)T we know that e^(At) is a linear mapping, therefore if we convert f to...
  10. D

    Catenation Property: O2 & S8 Molecules

    We know that catenation property decreases down the group... Then why oxygen exist as O2 molecule while sulphur exist as S8 molecule
  11. M

    Proving Vector Space Property: αa = 0 ⟹ α = 0 or a = 0

    Homework Statement Prove that in any vector space V, we have: ##\alpha \overrightarrow a = \overrightarrow 0 \Rightarrow \alpha = 0 \lor \overrightarrow a = \overrightarrow 0## Homework Equations I already proved: ##\alpha \overrightarrow 0 = \overrightarrow 0## ##0 \overrightarrow a =...
  12. P

    B Uncertain position and momentum -- A property of particles?

    I could completely understand the fact it it was just a limit to our observations but how can it be a property of the microscopic particle itself? Here's how I understand about probabilities: Before a die is thrown, the probability of a certain number coming up is 1/6. But, it's before the die...
  13. KT KIM

    I Completeness Property (and Monotone Sequence)

    I am studying Classical Analysis with Marsden book. At very first chapter it covers sequence, field, etc... The book has theorems 1."Let F be an ordered field. We say that the monotone sequence property if every monotone increasing sequence bounded above converges." 2."An ordered field is said...
  14. M

    I Transpose Property (where's my mistake)

    Hi PF! When proving ##\left(AB\right)^T = B^T A^T## I was thinking of writing ##\left(AB\right)_{ij} = A_{ik} B_{kj} = D_{ij}##. Then ##\left(D\right)^T_{ij} = D_{ji} = A_{jk} B_{ki} = A^TB^T## but clearly this is incorrect. Can someone tell me where my mistake is made? Thanks!
  15. chaszz

    I Perhaps an unknown property of gravity....

    The mystery of dark matter seems to resist solution. Search after search comes up empty for the various hypothetical particles that could account for it. Is it possible that gravity itself in sufficient density, as on a galactic scale, has some multiplier effect we have not discovered and GR...
  16. Erenjaeger

    Is rotational inertia an intrinsic property of an object?

    Homework Statement Is rotational inertia an intrinsic property of an object?[/B]Homework EquationsThe Attempt at a Solution So I know that rotational inertia is a property of an object that deals with a resistance to a change in the state of rotational motion but is it an intrinsic property? I...
  17. H

    I Interesting property of idempotent 10-adic number

    We build a special number from ##5##, by squaring it, appending the next digit of the square to it and repeating the steps. ##5^2=25.## The next digit is 2, which is added to 5 to give 25. ##25^2=625.## The next digit is 6, which is added to 25 to give 625. ##625^2=390625.## The next digit is...
  18. JasMath33

    Intermediate Value Property for Discontinuous Functions

    Homework Statement ' Here is the given problem Homework EquationsThe Attempt at a Solution a. For part a, I felt it was not continuous because of the sin(1/x) as it gets closer to 0, the graph switches between 1 and -1. Then I felt it might be continuous, therefore I am not sure. b. For part...
  19. KF33

    Proving Intermediate Value Property: Function Analysis

    Homework Statement I need to show the attached function satisfies the Intermediate Value Property. Homework EquationsThe Attempt at a Solution I looked at the property definition, but I am really unsure what is being stated. I think if I knew what the property was stating, I could do the problem.
  20. R

    Deriving the Fourier Transform of the Signum Function and Proving its Properties

    Homework Statement The signum function is defined by$$sgn(t)=\left\{\begin{matrix}-1, \ t<0\\0, \ t=0 \\ 1, \ t>0 \end{matrix}\right.$$It has derivative$$\frac{d}{dt} sign(t) = 2 \delta(t)$$Use this result to show that ##j2\pi \nu S(\nu)=2,## and give an argument why ##S(0)=0.## Where...
  21. D

    MHB My First Algebra Question: Associative Property

    I am reading through a introductory algebra textbook and refreshing memory on this topic. In the matter of the Associative Properties, it is giving me the expression 3 + (8+x). (I'm skipping the graphs section because I'm leaving that for my tutor Saturday. But I'm moving to algebra because I...
  22. B

    I Extensive properties as measures

    It has always struck me that extensive quantities (kinetic energy, volume, momentum, angular momentum, mass, entropy, ...) could be defined as measures (https://en.wikipedia.org/wiki/Measure_(mathematics)) whereas intensive quantities are fields. Are there known ressources that put emphasis on...
  23. Ben S

    Thermodynamics - property relationship of 2 systems

    Homework Statement A pure substance is placed into two containers of the same volume. Container 1 has twice the mass of pure substance of Container 2. After the containers are shut and both reach thermal equilibrium with the surroundings, what do we know about: a) the pressure of Container 1...
  24. L

    I Markov property: compatible with momentum?

    Say I'm simulating the movements of two interacting atoms. Could this system have the markov property (the future positions of the atoms depend only on the current position, not the past)? What's got me on the fence are the atoms' momentums: it's a property of the present state (at time t, the...
  25. G

    Proof of image formation property of spherical mirrors

    Hi. I'm trying to proof the image formation property of a concave spherical mirror. I know you can do this easily with a particular choice of rays (namely one that hits the vertex and one that passes through the center of the sphere) but I would like to show that a generic ray yields the same...
  26. M

    OrCad Capture CIS -- Unconnected pin, no FLOAT property or FLOAT = e

    Hello everyone! I am new in OrCad Capture Cis and apparently lack in fundamental knowledge. I have created this circuit so far but it appears that something (or everything) is wrong. The error is "Unconnected pin, no FLOAT property or FLOAT = e" in several parts of the circuit. Your answers will...
  27. C

    Proof about min spanning tree property

    Homework Statement (a) If e is part of some MST of G, then it must be a lightest edge in some cutset of G. Homework Equations Cut property The Attempt at a Solution When the cutset has just one edge then yes it's true obviously. I am think I can do this by contradiction. Assuming e_i is part...
  28. A

    Is pressure a qualitative property?

    I was solving some examples and one of the examples states that pressure is a qualitative property, i searched a lot on the internet but i didn't find any explanation , i didn't even find any proof that this is true.
  29. Alpharup

    I Epsilon-Delta definition property.

    he definition of the limit of a function is as follows:[5] Let be a function defined on a subset https://upload.wikimedia.org/math/a/1/b/a1b67abab803e714098f3e69a33900da.png, let be a limit point of https://upload.wikimedia.org/math/f/6/2/f623e75af30e62bbd73d6df5b50bb7b5.png, and let be a...
  30. evinda

    MHB Prove Lagrange Property w/ Algebra - A Hint for You!

    Hello! (Wave) With use of algebra I want to prove the Lagrange property:For any real numbers $x_1, \dots, x_n$ and $y_1, \dots, y_n$, $$\left( \sum_{i=1}^n x_i y_i\right)^2=\left(\sum_{i=1}^n x_i^2 \right)\left(\sum_{i=1}^n y_i^2 \right)- \sum_{i<j} (x_i y_j-x_j y_i)^2$$ Could you give me a...
  31. J

    Fourier Transform using duality property?

    Homework Statement Find the Fourier transform of x(t) = 4 / (4 - i*t)^2 where i is imaginary Homework Equations Duality Property F(t) ↔ 2πf(-ω) when f(t) ↔ F(ω) The Attempt at a Solution I am not sure if duality property is the way to solve this. I look at a list of properties and this...
  32. W

    Exploring the Fourier Transforming Property of Lenses

    I was reading about this Fourier transforming property of lens,when I came by the experimental setup for Fourier optics(with laser and a 4f correlator system).Part of the setup was that of Fraunhofer diffraction and we get the Fourier transform of the aperture at the focal point of first lens...
  33. LarryS

    Exploring the Relationship Between Electric Charge and Gauge Symmetry

    Does the property of electric charge of an elementary or composite particle exist only within the context of gauge symmetry - of the complex phase of the wave function, i.e. does gauge symmetry define electric charge? Thanks in advance.
  34. barbara

    MHB Demonstrating Distributive Property of Boolean Algebra

    This truth table that represents statement p v (q ^ r) is equivalent to (p v q) ^ (p v r)Showing that this statement is not equivalent to (p v q) ^ r.. Now I need to what property of Boolean Algebra is being demonstrated by the fact that the first two statements were equivalentp q r q ^ r...
  35. H

    Proving direct band gap property of a semiconductor

    Hi, How can I prove direct band gap property of a Transition Metal Dichalcogenide electrically and optically through experimentation? I can use PL measurements to prove this for optical band gap. Is there any other equipment or technique to prove this? I can not use ARPES because channel length...
  36. F

    MHB Finding Least Value m with Property P in Discrete Math

    Consider a set X with |X|=n≥1 elements. A family F of distinct subsets of X is sad to have property P if there exist A and B in F, such that A is a proper subset of B and |B\A|=1. Determine the least value m, so that any F with |F|>m has property P. This is a problem asked by our Discrete...
  37. Julio1

    MHB Laplace equation and Median Value Property

    Suppose that $u$ is the solution of the Laplace equation $u_{xx}+u_{yy}=0$ in $\{(x,y)\in \mathbb{R}^2: x^2+y^2<1\}$ $u(x,y)=x$ for all $(x,y)\in \mathbb{R}^2$ such that $x^2+y^2=1.$ Find the value of $u$ in $(0,0).$ Use the property of median value.
  38. W

    Find Sequence Property & Sum Property of ΣnK=1K^-1

    Is it possible to come up for a sequence property or sequence sum property for ΣnK=1K^-1 If so, what other sequence properties that are not commonly seen are there?
  39. A

    Can a Matrix A² ever equal -I₃ in M₃(ℝ)?

    Homework Statement Show that no matrix A ∈ M3 (ℝ) exists so that A2 = -I3 Homework EquationsThe Attempt at a Solution This is from a french textbook of first year linear algebra. I'm quite familiar with properties of matrices but I don't have any idea of how to prove this. Thanks for the help!
  40. RJLiberator

    How to start this Vector Space Property Proof?

    Homework Statement Let |v> ∈ V with |v> ≠ |0>, and let λ, μ ∈ ℂ. Prove that if λ|v> = μ|v>, then λ = μ Homework Equations Vector Space Axioms The Attempt at a Solution I am struggling to begin with this one. I can think of tons of different ways to begin, but all seem to get into a hazy area...
  41. T

    What is a simple proof of this differentiation property?

    $$ \frac{d^{2n}}{dx^{2n}}\left(x^2-1\right)^n = (2n)! $$
  42. Cecil L Russell

    Reflexive Property vs Commutative Property of Addition?

    Self Teaching myself Machine Shop Math from book Technical Shop Math by Thomas Achatz. According to the examples given, a=a is a Reflexive Property while a+b=b+a is described as a Commutative Property of Addition. The quiz question is: Name the property illustrated in the example. a) x+1=x+1. My...
  43. C

    MHB Is this equation true for positive values of x and y?

    Hello, I need some aid to see if this true: $y^2+x*\sqrt{4x^2+y^2}=y^2+\frac{x}{y}*\sqrt{4(\frac{x}{y})^2+1}$ provide that y>0 and x>0.Thank you, Cbarker1
  44. H

    A simple delta function properties, sifting property

    I don't know why this is possible To use delta function properties( sifting property) integral range have to (-inf ,inf) or at least variable s should be included in [t_0,t_0+T] but there is no conditions at all (i.e. t_0 < s < t_0+T) am I wrong?
  45. Drakkith

    Anyone Used a Property Management Service?

    So I'm currently renting a house out to a couple of my friends, but one is about to move into his own home and the other is moving out of state next spring. I've been thinking about either selling the house or getting a company to do property management for me since I'm out of state and don't...
  46. RJLiberator

    Proving Matrix Transformation Property

    Homework Statement Let A and B be n x m matrices, and λ and μ be real numbers. Prove that: (λA+μB)^T = λA^T+μB^t Homework Equations :/ The Attempt at a Solution I'm struggling to start here. If there was no λ and μ, I think I'd be able to reasonably solve this. How do I show that these...
  47. C

    Proving a Dirac delta property

    Homework Statement [/B] Prove that \delta[a(x-x_1)]=\frac{1}{a}\delta(x-x_1) Homework Equations In my attempt I have used \delta(ax)=\frac{1}{a}\delta(x) but I'm not sure I'm allowed to use it in this proof. The Attempt at a Solution Some properties of Dirac delta function are proven using...
  48. J

    Intellectual property question

    Suppose I work for a company and build an application for internal use, according to specifications I've been given by the company. Because I'm proud of how I implemented it, and because I believe it would be useful for many people to have, I build a generalized version of it during my free time...
  49. B3NR4Y

    Archimedian Property and Epsilon-Delta Type Problems

    Homework Statement 1. Let ε > 0. Determine how large n ∈ ℕ must be to ensure that the given inequality is satisfied, and use the Archimedean Property to establish that such n exist. a.) \frac{1}{n} < \epsilon b.) \frac{1}{n^{2}} < \epsilon c.) \frac{1}{\sqrt{n}} < \epsilon 2. Let ε > 0...
  50. Einstein's Cat

    Quantum Property: Can a Particle Have It Both Ways?

    Can a particle have both a quantum property and not have that same quantum property?
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