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. T

    Property of Light: Refraction & Angle of Bending

    the basic property of light is that ,it travels in a straight line but what causes it to travel in a straight line .in refraction of light ,what causes the refracted ray to bend towards the normal ,i am aware that it is related to velocity n material of medium but how does it influence the angle...
  2. W

    Can (almost) all the properties be entangled

    Two particles cannot be entangled in respect to position and momentum, I've read. But can particles be entangled by all other properties, including either position or momentum? For example by energy, momentum, spin and polarization (+some other(s)?) between two photons. I've read in some other...
  3. F

    Understanding the Distributive Property: (n+1)^n(n+1)+1=n(n+1)^n+(n+1)^n+1

    Homework Statement understanding the following equation: ##(n+1)^n(n+1)+1=n(n+1)^n+(n+1)^n+1##. I don't know from where the first ##n## on the RHS comes and how this is related to a single addition of ##(n+1)^n##. Homework Equations ##a(b+c)=ab+ac## The Attempt at a Solution My guess is...
  4. R

    Skew-symmetric matrix property

    This page (https://shiyuzhao.wordpress.com/2011/06/08/rotation-matrix-angle-axis-angular-velocity/), gives the following relation: \left[R\vec{\omega}\right]_{\times}=R\left[\vec{\omega}\right]_{\times}R^{T} Where: * ##R## is a DCM (Direction Cosine Matrix) * ##\vec{v}## is the angular...
  5. andyrk

    Property of for same acceleration

    Does the property that two bodies connected together and if one of them is accelerating with some acceleration the second also accelerates with the same acceleration, have a name? Like for example, if there is a person in an elevator and the elevator is accelerating with acceleration ##a##, then...
  6. Math Amateur

    MHB Universal Property for Coproducts in Ab

    I am reading Paolo Aluffi's book, Algebra: Chapter 0. I am currently focused on Chapter II, Section 3: The Category Grp. I need some help in getting started on Problem 3.3 in this section. Problem 3.3 at the end of Chapter III, Section 3 reads as...
  7. M

    Difference between property and characteristic

    what is the difference between property and characteristic of a material?
  8. evinda

    MHB Understanding Greedy Choice Property of Fractional Knapsack Problem

    Hello! (Wave) The following algorithm is given: Algorithm FractionalKnapsack(S,W): Input: Set S of items, such that each item i∈S has a positive benefit b_i and a positive weight w_i; positive maximum total weight W Output: Amount x_i of each item i ∈ S that maximizes the...
  9. K

    MHB Proving Ideal Property of f(x)=0 for Every Rational x in $\mathcal{F}(\mathcal{R})$

    I am asked: Prove that each of the following is an ideal of $\mathcal{F}(\mathcal{R})$: a. The set of all f such that f(x)=0 for every rational x b. The set of all f such that f(0)=0 My question is how do I know what the multiplicative operation is within the ring? Is multiplication the...
  10. I

    MHB A property of solution of ODE y''+p(x)y=0

    Let $f$ be a solution of the following equation $y''+p(x)y=0$, $p$ is continuous on $\mathbb{R}$ such that $p(x)\leq 0$ for all $x\in\mathbb{R}$. Suppose that $f$ is defined on $[a,+\infty)$, $f(a)>0$, $f'(a)>0$, $a\in\mathbb{R}$ . Prove $f(x)>0$ for all $x\in[a,\infty)$. Any help would be...
  11. Islam Hassan

    Speed of Light is a Property of Massless Particles or Space?

    The speed of light is a parameter that attaches itself to what exactly, an inertial frame of reference or a massless particle moving therein?IH
  12. B

    MHB Could you explain me about 'relation algebraic property with conjugate'?

    Hello everyone. At first, I appreciate your click this page. I have a book named 'A first Course in Abstract Algebra 7th' by Fraleigh. I have a question about 'relation algebraic property with conjugate' in automorhisms of fields. in page415, this book explains "Let E is algebraic extension...
  13. Rodrigo Cesar

    A concept of time with the future as an emergent property

    I was watching a video on youtube with a theory of time, the video explains 'Time' as a physical process supported by mathematics) I want to know what you think about this? Pseudoscience, or have any validity? "Could the future be an emergent interactive property with 'time' formed by the...
  14. tressure

    Was Space Present Before the Big Bang?

    hello guys, i just want to know if space had been there before the big bang, or is it a property of the big bang :)
  15. A

    Proving the property of entrophy

    Homework Statement -\left ( \frac{\partial U}{\partial V} \right )_{S, N} is a definition of an imporant thermodynamic property,where S denote the entropy and the subscript 0 denotes reference state, so they must be constant. show what is this property. In your analysis, use the equation...
  16. D

    What is measure of numbers with certain property on [0,1]

    Considering the interval [0,1], say for each number (binary) on the interval you form the sequence of numbers: number of zeros up to the nth place/number of ones up to the nth place. Then as n goes to infinity the sequence of numbers (for the given binary number) will go to somewhere in...
  17. Albert1

    MHB Proving Orthocenter Property of Triangle ABC

    Point $H$ is the orthocenter of $\triangle ABC$ prove :$HA^2+BC^2=HB^2+AC^2=HC^2+AB^2$
  18. S

    Property Versus Not a Property?

    In physics, it seems like everything is ultimately reduced to a property. I used to believe that everything reduces down to matter and energy. But it seems as though matter and energy are made up of properties. For example, pure energy such as a photon, seems to be its parts/properties. Its...
  19. anemone

    MHB Proof that x=0 for Integers with Perfect Square Property

    The integers $x$ and $y$ have the property that for every non-negative integer $n$, the number $2^nx+y$ is a perfect square. Show that $x=0$.
  20. B

    Proof of Distributive Property of Vectors

    Homework Statement Let u, and v be vectors in Rn, and let c be a scalar. c(u+v)=cu+cv The Attempt at a Solution Proof: Let u, v ERn, that is u=(ui)ni=1, and v=(vi)ni=1. Therefore c(ui+vi)ni=1 At this point can I distribute the "c" into the parenthesis? For example: =(cui+cvi)ni=1...
  21. ElijahRockers

    Nth derivative Fourier transform property

    Homework Statement I am given f(t) = e^-|t| and I found that F(w) = ##\sqrt{\frac{2}{\pi}}\frac{1}{w^2 + 1}## The question says to use the nth derivative property of the Fourier transform to find the Fourier transform of sgn(t)f(t), and gives a hint: "take the derivative of e^-|t|" I also...
  22. D

    Addition property of integration intervals proof

    First of all, apologies as I've asked this question before a while ago, but I never felt the issue got resolved on that thread. Is it valid to prove that \int_{a}^{c}f(x)dx=\int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx using the fundamental theorem of calculus (FTC)?! That is, would it be valid to do...
  23. amjad-sh

    Property related to Hermitian operators.

    Hello; I'm reading "principles of quantum mechanics" by R.Shankar. I reached a theorem talking about Hermitian operators. The theorem says: " To every Hermetian operator Ω,there exist( at least) a basis consisting of its orthonormal eigenvectors.Its diagonal in this eigenbasis and has its...
  24. caffeinemachine

    MHB A Basic Question Regarding the Universal Property of the Tensor Product.

    (All vector spaces are over a fixed field $F$). Universal Property of Tensor Product. Given two finite dimensional vector spaces $V$ and $W$, the tensor product of $V$ and $W$ is a vector space $V\otimes W$, along with a multilinear map $\pi:V\times W\to V\otimes W$ such that whenever there is...
  25. D

    Question on a particular integral property

    I've been reading Wald's book on general relativity and in one of the questions at the end of chapter 2 he gives a hint which says to make use the following integral identity (for a smooth function in): F(x)=F(a)+\int_{0}^{1}F'(t(x-a)+a)dt Is this result true simply because...
  26. S

    Complex Function & Spin Connection: What Changes?

    A simple question: If we have $$z$$ is a complex function, and we have here $$\omega_\mu^{ij}$$ represents some spin connection where $$\mu$$ is spacetime corrdinate. And say we have $$z + \omega_\mu^{12}$$ no matter for now what the metric is, if I want to take the conjugate of this, is the...
  27. evinda

    MHB Delete nodes with a specific property

    Hi! (Mmm) I want to write a function that takes as argument a pointer A to the root of a binary tree that simulates a (not necessarily binary) ordered tree. We consider that each node of the tree saves apart from the necessary pointers LC and RS, an integer number. The function should...
  28. E

    Geodesics: Stationary Property & Dirac

    In Dirac's book on GRT, top of page 17, he has this: (I'll use letters instead of Greeks) gcdgac(dva/ds) becomes (dvd/ds) I seems to me that that only works if the metric matrix is diagonal. (1) Is that correct? (2) If so, that doesn't seem to be a legitimate limitation on the property of...
  29. evinda

    MHB Can Cardinal Arithmetic Mimic Distributive Property?

    Hi! (Nerd) I want to prove for any cardinal numbers $m,n,p$ it holds that: $$m \cdot (n+p)=m \cdot n+m \cdot p$$ Could we prove this using induction on m ? Or could we maybe show that $A \times (B \cup C)=(A \times B) \cup (A \times C)$ where $card(A)=m, card(B)=n, card(C)=p$ ? (Thinking)
  30. U

    Using Telescoping Property for Summing ∑(2k-1)

    1+3+5+...+(2n-1)=∑(2k-1) but (2k-1)=k2-(k-1)2 summing we use the telescoping property and deduce that ∑(2k-1)=n2-02=n2 This seems accurate to me. Now my question is this a proper use of the telescoping property. In the least it reveals the proper answer, which can then be proved by induction.
  31. B

    Proof of the Archimedean Property

    I am reading Rudin's proof of this property, but I find one assertion he makes quite disagreeable to my understanding; I am hoping that someone could expound on this assertion. Here is the statement and proof of the archimedean property: (a) If ##x \in R##, ##y \in R##, and ##x > 0##, then...
  32. hideelo

    Hausdorff property of Manifolds

    Is the fact that all manifolds are hausdorff spaces a part of the definition, or can this be proven from the fact that it is a set which is locally isomorphic to open subsets of a hausdorff space? P.S. if it can be proven I don't want to know the proof, I want to keep working on it, I just...
  33. P

    Does a refl/anti-symm relation on a set A have this property?

    Homework Statement Let ##R## be an ordered relation on a set ##A## that is reflexive and anti-symmetric. If there is a chain of elements in ##R## that begins and ends with the same element, say the element ##x \in A## is it true that all the elements of ##R## sandwiched in between the ones...
  34. M

    Proof of a property of the cross product

    Homework Statement I could prove a, trying b now. Homework Equations The definition of the cross prod.? The Attempt at a Solution https://www.dropbox.com/s/0sauaexkl4j2yko/proof_cross_prod.pdf?dl=0 I did not manage to get a scalar times v and a scalar times w. (No need to point this...
  35. R

    Graphene Nobel winners discover new property of graphene

    Researchers from the University of Manchester were surprised to find that positively charged hydrogen atoms - protons - can pass through it http://www.independent.co.uk/news/science/scientists-predict-green-energy-revolution-after-incredible-new-graphene-discoveries-9885425.html Does that mean...
  36. evinda

    MHB Which node satisfies this property?

    Hi! (Smirk) It is a given binary tree $T$, for each node $ n$ of which , all the keys of the nodes of the left subtree of $n$ are greater than the key of $n$ and all the keys of the nodes of the right subtree of $n$ are smaller than the key of $n$. We suppose that $T$ contains the nodes...
  37. S

    Proving least upper bound property implies greatest lower bound property

    Homework Statement Prove if an ordered set A has the least upper bound property, then it has the greatest lower bound property. Homework Equations Definition of the least upper bound property and greatest lower bound property, set theory. The Attempt at a Solution Ok, I think that my main...
  38. C

    MHB What is the Square Root Property in Mathematics?

    Dear everyone, I have a question about a property of square root. $${\frac{1}{x}\sqrt{x^2}}$$$\implies$ $\sqrt{\frac{x^2}{x^2}}$=$\left| 1 \right|$ Is that property of a square root? Since $$\sqrt{x^2}$$= $\left| x \right|$.
  39. M

    Parity as a kinematic property?

    Weird question, but does anyone have any feelings on whether parity can be classified as a kinematic property? It doesn't scale with energy and so in that sense doesn't seem to be classifiable as a dynamic property, nor do objects interact through it; but parity is of course violated by the...
  40. T

    Proving the Property of Covariance Function: (r(n)-r(m))^2≤2r(0)(r(0-r(n-m)))

    Hi all. My task is to prove the property of covariance function: ##(r(n)-r(m))^2≤2r(0)(r(0-r(n-m)))## My solution: ##1) (r(n)-r(m))^2=r(n)^2-2r(n)r(m)+r(m)^2## ##2) 2r(0)(r(0)-r(n-m)))=2r(0)^2-2r(0)r(n-m)## From covariance function properties I know that ##2r(0)^2≥r(n)^2+r(m)^2## So now I...
  41. W

    Convolution Proof of time scaling property

    Hello I don't quiet understand how the integration in the picture works... I must have forgotten something... Can anyone explain what is used?
  42. aditya ver.2.0

    On the Wave-Particle Duality property of light

    I just want to confirm a statement the - Light travels in the form of electromagnetic waves in open space, not particles, but converts to a particle while encountering an obstacle deserting its wave form. So is the statement correct or not? And does it persists any anomaly or exception while...
  43. Julio1

    MHB How Does the Axiom of Archimedes Prove Integer Density in Real Numbers?

    Show that $(\forall x\in \mathbb{R})(\exists p\in \mathbb{Z}):\, p\le x\le p+1.$Hello :). The Hint is use the Axiom of Archimedes and the Principle of Well Order
  44. C

    Property of a generalised helix

    Homework Statement A generalized helix is a space curve whose unit tangent makes ##T## makes a constant angle ##\theta## with the a fixed unit vector ##A## in Euclidean space, I.e ##T \cdot A = \cos \theta = \text{const}##. Prove that if the torsion ##\tau \neq 0## everywhere then the space...
  45. S

    MHB Understanding the Markov Property: Discrete and General Cases

    Hi, I have some troubles understanding the definition of the Markov property in the general case since I'm struggling with conditional expectations. Let $(X(t), t \in T)$ be a stochastic process on a filtered probability space $(\Omega, \mathcal{F}, \mathcal{P})$ with adapted filtration...
  46. E

    A property of meromorphic functions (?)

    Is this statement true: "If two meromorphic functions have the same poles(all simple) and the same zeros(all simple), than they are proportional."? If it is true, than why? Thanks for the help...
  47. evinda

    MHB Which property does it satisfy?

    Hey again! (Nerd) According to my notes, the Kuratowski definition for the ordered pair is the following: Let $a,b$ sets. We define the ordered pair of $a,b$ like that: $$<a,b>=\{ \{a \}, \{ a, b \} \}$$ So, when $x \in <a,b>$, which property does it satisfy? (Thinking)
  48. D

    Solving Doubts When Showing Simple Properties of Norms

    Sorry, I wasn't sure of the best way to phrase this. This is a common problem I keep having. Here's the definition of a norm: Let E be a vector space V defined over a field F. A norm on V is a function p: V \rightarrow \mathbb{R} such that: \forall a \in F and \forall u,b \in V: (i) p(av)...
  49. P

    Transpose Inverse Property (Dual Vectors)

    Hello, While studying dual vectors in general relativity, it was written as we all know that dual vectors (under Lorentz Transformation) transform as follows: \tilde{u}_{a} = \Lambda^{b}_{a}μ_{b} where \Lambda^{b}_{a}= η_{ac}L^{c}_{d}η^{db} I was wondering if one can prove the latter...
  50. B

    Does Associative Property Apply to Subtraction and Division Too?

    I show that the assoc. property applies to addition and multiplication in my book: (a+b)+c = a+(b+c) (ab)c = a(bc) But what about subtraction and division?
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