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. N

    Property lines on the 2d projections

    Hi there...I need ur help on these questions: 1) Can H2O exist as a vapor at -40oc,As a liquid? Why? 2) What would be the general nature of Constant volume lines on Phase (P-T) diagram? Both questions are from Engg. Thermodynamics-Moran,Shaprio(Things engg. think abt section) Also, does anyone...
  2. W

    Property of Monotonic Functions

    Hello all, For a monotonic increasing/decreasing function f(x) on x \in \mathbb{R}, we can only have supremum/infimum which is occurred at x = \infty with value \lim_{x\uparrow \infty}f(x) Otherwise, if it was a maximum/minimum, it would violate the assumption of monotonicity. Am I...
  3. T

    Finite Intersection Property Question

    I'm having a little trouble distinguishing the line between what the f.i.p implies and what it does not. **EDIT2** Hopefully this will make things more clear What I'm really interested in is a formal definition of the f.i.p regardless of the set in question or the field. Given the sequence...
  4. D

    How can I prove the property of ranks for an n x m matrix with n < m?

    if A is an n x m matrix where n < m I would like to prove that there exists some \lambda such that rank(A^T A + \lambda I) = m I know that if two of the columns of A^T A are linearly dependent, they are scalar multiples of each other and by adding some \lambda to two different positions, those...
  5. Z

    A question about property of liminf and limsup

    If x_n\geq 0, y_n\geq 0 and \lim \limits_{n \to \infty }x_n exists, we have \limsup\limits_{n\to\infty}(x_n\cdot y_n)=(\lim\limits_{n\to\infty}x_n)\cdot(\limsup\limits_{n\to\infty}y_n). But if \lim\limits_{n\to\infty}x_n<0, do we have analog equation(I guess \limsup\limits_{n\to\infty}(x_n\cdot...
  6. B

    K-connectedness and the homotopy-lifting property

    Hi: Is there a relation between k-connectedness ( meaning 1st, 2nd,..,k-th fundamental groups are trivial.) and having the homotopy-lifting property.? . This may be vaguely-related to being able to extend global sections from the j-th skeleton, to the (j+1)-st skeleton (j<=k...
  7. mnb96

    Question on cancellation property

    I have a monoid (M,+), and I assume that for any two elements a,b in M it is always possible to find a third element k such that: a + k = b + k Is it possible to prove that M must be a cancellative monoid? In other words, can I prove that a+k=b+k \Rightarrow a=b ?
  8. P

    Diamagnetism is the property of an object

    Diamagnetism is the property of an object which causes it to create a magnetic field in opposition of an externally applied magnetic field, thus causing a repulsive effect. This is property of all materials. But can be perceive only for materials which atoms or ions have closed shells. Examples...
  9. O

    Boolean algebra- cancellation property of addition

    1. Prove that for all boolean algebras if x+y=x+z and x'+y = x'+z then y=z. 2. Homework Equations : x+x' = 1, xx'=0, basically we are allowed to use the usual boolean algebra properties. 3.Attempt: This the second part of a problem, in the first part we had to give and example of...
  10. A

    Object Property: Describing an Object

    once i was wondering that, how any property of an object describe an object??
  11. G

    Transitive Property with Orthogonal Vectors?

    Homework Statement Let x1, x2, and x3 be vectors in R^3. If x1 is orthogonal to x2 and x2 is orthogonal to x3, is it necessarily true that x1 is orthogonal to x3? Homework Equations I know that if x1 is orthogonal to x2 and x2 is orthogonal to x3, then... (x1)^T*x2=0 (x2)^T*x3=0...
  12. T

    Constructing a continuous function with a given property.

    Homework Statement Find f:I->I such that each x on I shows up an infinite amount of times on f(I), f continuous Homework Equations Lol , equations? The Attempt at a Solution The weierstrauss function, I want to expand on it's fractal property and say that it crosses a given point...
  13. D

    Prove property of classes (introductory set theory)

    this problem is from Apostol's Calculus Vol.1, i just started doing proofs so I'm still getting used to it. B - U (A) = ∩ (B-A) the U is the union of sets in a class F and ∩ is the intersection of sets in a class F. written under both the U and the ∩ are A∈F. so i let an element x ∈ B...
  14. K

    Show that the nested intervals property fails for the rational numbers

    In the field of formal rational functions, construct a nest of closed, bounded intervals whose intersection is empty. (That is, show that the Nested Intervals property fails in this field) I know it has to involve radical 2 but because that is the only number we know is irrational but other...
  15. O

    Question about a property of pdfs

    I've encountered this question in some theoretical work I've been doing. Suppose you have two pdfs fH(x) and fL(x) with the same support (bounded or infinite... you can assume whatever you want about it). Suppose that the expected value of a random variable with pdf fL(x) is greater than the...
  16. C

    Proving the scaling property of the Delta function

    Homework Statement Prove that \delta(at)=\frac{1}{abs(a)}\delta(t) Hint: Show that \int\phi(t)\delta(at)dt=\frac{1}{abs(a)}\phi(0) (the limits of integration are from -inf to +inf btw, I couldn't find how to put them in..) Homework Equations The Attempt at a Solution Ok. I...
  17. L

    Property of radius of convergence

    I have a question regarding the radius of convergence and hopely someone can help me with it. Suppose \SigmaNANZN-1 is given and if its primitive exists, will these two polynomials have the same radius of convergence?
  18. D

    What Are the Properties of Light and Matter Waves?

    I have so many fundamental questions about physics, i hope they are not considered "speculative" and deleted... Physics convolutes things so much, i wonder what does physics define as a physical property. For instance - an electron has a property (quality) of charge. Hopefully - this means...
  19. T

    Exploring the Wada Property in R2, R3, and R

    What kind of sets exhibit the wada property? I know R2 does but does it extend to R3 or R itself?
  20. T

    Topology : 3 sets on the Real line with the wada property.

    Homework Statement Find three disjoint open sets in the real line that have the same nonempty boundary. Homework Equations Connectedness on open intervals of \mathbb{R}. The Attempt at a Solution If this is it all possible, the closest thing I could come up with to 3 disjoint...
  21. E

    Proving Invertible Matrix Property: kth Power

    Homework Statement Prove: If A is an invertible matrix and k is a positive integer, then (A^k)^-1 = (A^-1)(A^-1) ...A^-1=(A^-1)^k Homework Equations none The Attempt at a Solution I have a hard time proving this. How do I go about doing this? Any help would be great. I really...
  22. S

    Colligative Properties: Learn What They Are

    tell me about colligative property?
  23. quasar987

    Elementary property of maximal compact subgroup

    It is said on wiki* that "Maximal compact subgroups are not unique unless the group G is a semidirect product of a compact group and a contractible group, but they are unique up to conjugation, meaning that given two maximal compact subgroups K and L, there is an element g in G such that...
  24. J

    Proof of additive property for sine

    Homework Statement We are supposed to prove that sin(x+y) = cos(x)sin(y) + sin(x)cos(y) Homework Equations cos(A-pi/2) - sin(A) sin(pi/2 - A) = Cos(A) sin(A-pi/2) = -cos(A) The Attempt at a Solution We had to prove all of the relevant equations but were allowed to work in groups...
  25. K

    Uniqueness of limit by transitive property?

    [for all of the following, "lim" means the limit as n->∞] Let an be a sequence of real numbers. Theorem: if lim an = L and lim an = M, then L=M. (Incorrect) "Proof": lim an = L and lim an = M Thus, L = lim an = lim an = M (transitive property) Therefore, L=M. To me, every step in...
  26. P

    Help with a definite integral property

    Hello, Saw this expression: ^{inf}_{-inf} \int e^{x^{2}} = 2 \times ^{inf}_{+0} \int e^{x^{2}} I am unable to understand this change of base. You can change from -inf to 0 and 0 to +inf but do not see how that equals to 2 * the integral from 0 to infinity. I hope someone will help me...
  27. pellman

    Do Grassmann Numbers Commute With Fermionic Operators?

    Homework Statement Warren Siegel, Fields, ex. IA2.3(b) Define the eigenstate of the fermionic annihilation operator as a|\zeta\rangle=\zeta |\zeta\rangle. \zeta is a Grassmann (anti-commuting) number. Show that a^\dag|\zeta\rangle=-\frac{\partial}{\partial\zeta}|\zeta\rangle. Homework...
  28. E

    Property of a Double Integral involving a limit

    Hi, I am actually not really concerned about what the whole details are but more whether my approach is correct to show the following statement: Let f be continuous on a closed bounded region \Omega and let (x_0 ,y_0) be a point in the interior of \D_r. Let D_r be the closed disk with center...
  29. P

    Is space a property of matter?

    What is the essence of space? Is it a property of matter? If not, is it an entirely new stuff distinct from matter? If the former is true, why does space seem so homogeneous to us while the distribution of matter seems so uneven. If the latter is the case, what does it mean by the matter without...
  30. U

    Laplace Transformation, Translation Property

    Can anyone do a very comprehensive breakdown of the Laplace translation property for me? I don't understand how to apply it: L[eat f(t)] = L[f(t)] s-> s-a Here is a specific problem that applies it: Homework Statement Y(s) = 4/(s+1)3 + 1/(s+1)2 + 2/(s+1) I need to perform an inverse Laplace...
  31. Z

    Question about property of Cross Product

    Homework Statement Hello. I am relatively new to this subject please forgive my incompetence. Please correct me if I have misunderstandings. I understand that the cross product of two vectors (say A and B) in R3 is a vector that is orthogonal to both A and B. But how A x B be...
  32. T

    Use determinant property to solve evaluate matrice

    Use determinant property to evaluate matrice determinant Homework Statement 3x3: A = 12 27 12 28 18 24 70 15 40 What determinant property can I use to find the determinate of this matrix? I cannot see any relationship between the rows or columns. Apparently 720 comes into it somehow, but I...
  33. C

    How do I correctly prove the memoryless property of a geometric distribution?

    Homework Statement Let X have a geometric distribution. Show that P(x>or= k+j|x>or=k) = P(X>or=j) where k and j are nonnegative integers. The Attempt at a Solution P(x>or= k+j|x>or=k) = P(x>or= k+j intersect x>or=k)/P(x>or=k) = P(x>or=k+j)/P(x>or=k) for j>or= 0 =...
  34. S

    Property of thermometric substance

    Homework Statement For the construction of a thermometer, one of the essential requirements is a thermometric substance which a. remains liquid over the entire range of temperature to be measured b. has a property that varies linearly with temperature c. has a property that varies with...
  35. M

    Eigenfunctions of translation operator and transposed operator property proof

    Homework Statement Find the eigenfunctions and eigenvalues of the translation operator \widehat{T_{a}} Translation operator is defined as \widehat{T_{a}}\psi(x)=\psi(x+a) (you all know that, probably you just call it differently) Homework Equations The eigenvalue/eigenfunction equation is...
  36. P

    Need integral help ( integral property maybe )

    What is the \int(u)-1 where u is a fonction of x , forming a quadratic equation. As in: \int(u)-1 where u = x2+2ax+a2 for example. Is there a basic property for this... or do I have to play around with the fonction u , in order to integrate? ---- I know that \int(x)...
  37. K

    Characteristic Property of Substances (mass, volume, and density)

    Homework Statement A characteristic property is a property that can be used to help identify a substance since it is the same for all samples of the substance. We have now studied mass, volume and density. Which of these is a characteristic property of substances? Explain. Homework...
  38. S

    Regarding heat property of electromagnetic waves

    I am confused regarding the heat properties of electromagnetic radiation. Wiki states "Any electromagnetic radiation can heat a material when it is absorbed.". Does this imply radiation with wavelengths in the visible light region can also heat a material, that is, increase its temperature? From...
  39. B

    Proving the Vector Space Property: cv = 0, v ≠ 0 → c = 0

    I'm considering the problem: Given c \in \bold{F}, v \in V where F is a field and V a vector space, show that cv = 0, v \neq 0 \ \Rightarrow \ c = 0 I've been wrapping my head around this one for a while now but I can't seem to get it. Proving that if cv = 0 and v \neq 0 implies v = 0 is...
  40. W

    Looking for a nonlinear equation with the following property

    Hi, I am looking for a nonlinear equation capable of approximating a sigmoid curve that can be multiplied by another equation of the same type with different parameters and this product can be made linear in the parameters. I am an ecologist, so I hope I am using the right terms. I...
  41. D

    What is the Inductive Property in Set Theory?

    A set X is *this* iff whenever x is a subset of X, then x is also an element of X. Note that this is not transitivity.
  42. D

    Does Min(d1,d2) Satisfy Triangle Inequality?

    d1 and d2 are metrics on a space X. Does min(d1,d2) satisfy the triangle inequality. I think it does not but I am having a hard time finding a counter example.
  43. D

    Using the Triangle Inequality to Prove Transitivity in Metric Spaces

    I want to show the triangle inequality, d(x,x)=0, d(x,y)\neq0 for x\neqy implies that d(x,y)=d(y,x). Note that I do not have d(x,y)>0. But I know how to show this if I can get the transitive property. I have been trying to use the triangle ineq. to establish d(x,y)>=d(y,x) and...
  44. D

    Uncountable Set with this property

    Does there exist an uncountable set of positive reals such that every countable decreasing sequence from that set sums to a finite number?
  45. P

    Question from a theorem in Baby Rudin (Re: Least-Upper-Bound Property)

    Hi, I am reading Baby Rudin on my own to get prepared for the analysis class that I will be taking in the fall. I got up to this theorem, and I was wondering if someone can clarify me the proof of this (i.e. Thm 1.11, the first theorem). 1.11 Theorem: Suppose S is an ordered set with the lub...
  46. J

    Proof of Abelian Property - a * b * c = e

    Statement: 37. Let G be a group and suppose that a * b * c = e for a, b, c \in G. Problem: Show that b * c * a = e. Thought Process Can we assume that our binary operator * is abelian. Thus, a * b * c = a * (b * c) = (b * c) * a = b * c * a. Thanks, JL
  47. Z

    Question about simple algebraic exponential property

    I haven't been taking math for 3 years so I have a question about the following: is 14m6n2 the same as 2mn x 7m5n basically asking this because I am not sure whether or not I can factor the terms out like this if this information is insufficient I can post the whole problem. Thanks in advance.
  48. K

    Laplace time differentiation property

    Hello, I'm trying to prove the time differentiation property of Laplace transform. dx(t)/dt = sX(s) http://img10.imageshack.us/img10/290/tlaplace.jpg http://g.imageshack.us/img10/tlaplace.jpg/1/ how do i continue from here ?
  49. D

    Checking commutativity property with addition table

    I saw the technique of using a mathematical system called the "Four minute clock". Basically, the clock has 4 numbers, 0, 1, 2 and 3, and only one hand. We can make a summation table which will look like the image attached. According to the text, if there is symmetry (reflection) across the...
  50. D

    Electric/magnetic lines of force's property.

    There are certain properties of lines of force, I know they are not real, but following these 'properties', given position and intensity of magnetic/electric field sources we will be able to reconstruct these lines without any practicals. So I have a problem with lines of forces. Sources...
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