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.

View More On Wikipedia.org
  1. R

    What is the mysterious identity that holds for primes and certain composites?

    I would like to show that if a prime number P mod 8 is a) 1 or 7 or b) 3 or 5 then a) \frac{(P+1)}{2}(1-sqrt{2})(3+sqrt{8})^\frac{P-1}{2}+ \frac{(P+1)}{2}(1+sqrt{2})(3-sqrt{8})^\frac{P-1}{2} = (\frac{P-3}{2} + 2) mod P b) \frac{(P+1)}{2}(1-sqrt{2})(3+sqrt{8})^\frac{P-1}{2}+...
  2. R

    The least upper bound property and the irrationals.

    Hi Does anybody know if the irrational numbers have the least upper bound property?
  3. P

    Derivative of Dirac Delta - Fourier Transform - Time Differentitation Property

    Homework Statement I am using the time differentiation property to find the Fourier transform of the following function: Homework Equations f(t)=2r(t)-2r(t-1)-2u(t-2) The Attempt at a Solution f'(t)=2u(t)-2u(t-1)-2δ(t-2) f''(t)=2δ(t)-2δ(t-1)-?? Can somebody explain what the...
  4. A

    An algebraic property of complex numbers

    I'm guessing that if z\in \mathbb C, then we have \left| z^{-1/2} \right|^2 = |z^{-1}| = |z|^{-1} = \frac{1}{|z|}. Proving this seems to be a real headache though. Is there a quick/easy way to do this?
  5. S

    Mixed symmetry property and degrees of freedom

    How can I calculate degrees of freedom of a rank (o,3) tensor, Aabc, that is mixed symmetry and antisymmetric in the first 2 indices? By mixed symmetry I mean this: Aabc+Acab+Abca=0.
  6. D

    Distributive property of multiplication

    OK - this one has been argued to death in several different threads, but the answers have been less than satisfactory... so someone provide a reason why I am wrong here: 48 / 2(9 + 3) = 2. Why? Because the distributive property of multiplication means that 2(9+3) = (2*9+2*3). For...
  7. G

    Spin property as a tiny magnet

    As a preface to a different question, it is valid to think of the property of spin of elementary and related particles as basically just tiny magnets, right?
  8. C

    Proving Closure of Set of Operators w/ Property P Under Addition

    Could you please give me a hint on how to show that a set of operators with a property P is closed under addition? In other words, how one could prove that a sum of any two operators from the set still possesses this property P. The set is assumed to be infinite. Any references, comments...
  9. S

    Dirac Matrix Property? Possible Book mistake?

    Dirac Matrix Property? Possible Book mistake? Derive KG from Dirac I got a copy of QFT demystified and on pg. 89 he says he can write \gamma_{\nu} \gamma^{\mu} = g_{\nu \sigma} \gamma^{\sigma} \gamma^{\mu} = g_{\nu \sigma} \frac{1}{2} (\gamma^{\sigma} \gamma^{\mu} + \gamma^{\mu}...
  10. A

    Property Tables Question [Thermodynamics]

    Homework Statement Given Pressure=P=700 KPa Specific Entropy = s = 7.6953 KJ / ( K Kg ) Find the Specific Enthalpy (h) Homework Equations No equation Am using the property tables at the end of the following book : Thermodynamics, an engineering approach, by Yunus A. Cengel and...
  11. Jim Kata

    Property of the index of a function

    Hi, I'm working through a paper and I am quite stupid so some things that maybe obvious are not obvious to me. Say you have some have some complex analytic function that is defined on some simply closed curve, and the index of this function defined on this curve is zero, \int_C...
  12. H

    How Does the Euler Totient Function Apply to Multiplicative Proofs?

    Hello, I am looking at the proof (Theorem 2.5 (b) Apostol) of $$ \phi (mn) = \phi(m) \phi(n) \frac{d}{\phi(d)} $$ where $$ d = (m, n) $$. Can someone explain how they go from $$ \prod_{p|mn} \left( 1 - \frac{1}{p} \right) = \frac{\prod_{p|m} \left( 1 - \frac{1}{p} \right) \prod_{p|n}...
  13. M

    Proving a property of an integral

    I have already solved it, but I need confirmation: Are there other ways of proving this? Thanks in advance!
  14. H

    Associative Property for Power Towers?

    A power tower (x^^n) is a variable raised to the power of itself n amount of times. x^^4 = x^x^x^x x^^3 = x^x^x x^^2 = x^x x^^1 = x I was wondering if an associative property for power towers exists. Does x^(x^x) equal the same thing as (x^x)^x? Is x^(x^^n) equal to x^^(n + 1)? If anybody...
  15. T

    Finding a Minimum Value for a Continuous Function on a Compact Set

    Suppose S\subsetℝn is compact, f: S-->R is continous, and f(x)>0 for every x \inS. Show that there is a number c>0 such that f(x) ≥ c for every x\inS. Attempt: Since S is contained in Rn is compact, then S is closed and bounded. By the extreme value thm there exists values a,b that are an...
  16. T

    The Odd Only Spiral (A twist on the ulam spiral with an interesting property)

    Hi guys, I've been playing around with structure generated patterns and have come across one which has caught my attention. I am only just starting to learn about number theory and so I am sure someone might be able to provide an explanation for this. Let me describe what I did then show you the...
  17. G

    How would you show that the intermediate value property implies connectedness?

    Suppose a space X has the intermediate value property (f: X->Y continuous, Y has the order topology), then X is connected. How would you show this? This is just the converse of the intermediate value property.
  18. M

    Convolution area property derivation

    Homework Statement Let y(t) be the convolution of x(t) with h(t), show that the area under y(t) is the product of the areas under x(t) and h(t) Homework Equations Convolution definition The Attempt at a Solution I found a derivation but it skips a step, uploaded it here: htt...
  19. N

    Linear change of coordinates preserving a certain property

    Doesn't a linear change of coordinates preserve complete intersection for a set of homogeneous polynomials, all of the same degree, in a polynomial ring? That is, apply a change of coordinates to a set of homogeneous polynomials {f_1,... f_k} in C[x_1,...,x_M] to obtain {h_1,..., h_k}. Suppose...
  20. J

    Property of the dirac delta function

    Hello team! I saw the other day in a textbook that the Dirac delta function of the form d(x-a) can be written as d(a-x) but the method was not explained. I was wondering if anyone know where this comes from. I've been googling but can seem to find it out. Any help would be appreciated...
  21. B

    Cleaning Property of Baking Soda+ Vinegar

    Hi, All: I'm a chemistry ignorant. Please bear a bit. Just curious as to the chemical explanation for why the mixture of bakind soda and (kitchen/cooking) vinegar is an effective disinfectant. Is this a neutralization reaction, with vinegar as the acid and bakind soda as the base? If...
  22. A

    Do you know this property of the logarithm?

    Playing around with logarithms I found an interesting property that "log b^n(a^n) = log b(a)". Then I tried to find some kind of proof that this is right and not only a coincidence. Ι made a gereral formula for any value of both n's (α and β) so that "log b^β(a^α) = x". Therefore "a^α = b^(β*x)"...
  23. I

    Sifting Property (Dirac Delta), please check these

    Homework Statement use the sifting property of the dirac delta function to evaluate the following integrals. a) integral from -inf to inf sin(t) delta(t-pi/2)dt b) integral from 0 to 2 e^(2t) delta(t-1)dt c) integral from 0 to pi e^tan(theta) delta(theta- 3pi/4)d(theta) d)...
  24. H

    What Does RGV Stand For in Casual Communication?

    Hi. I have the following sentence: \begin{array}{l} A,B \in {M_{nxn}}\\ A \ne 0\\ B \ne 0\\ {\rm{if }}AB = 0{\rm{ then}}\\ {\rm{|A| = 0 or |B| = 0}} \end{array} I know this is true but how can I realize? Just thinking about an example? Thanks!
  25. T

    Monomorphism cancellation property

    Hi, I know that if I have a monomorphism f:X\rightarrow Y then for any arrows g,h:A \rightarrow X we have f \circ g = f \circ h \; \Rightarrow \; g=h However in a topological space, if I have f to be an injection but now have f \circ g \simeq f \circ h (where \simeq denotes homotopic) then...
  26. P

    Prove the property of Dirac's Delta

    Homework Statement How can i prove this property of Delta, http://e1204.hizliresim.com/w/d/4bw2j.png Homework Equations This is my homework from John David Jackson's Classical Elektrodynamics book The Attempt at a Solution I can't an attempt. Some properties is proved at wiki and...
  27. O

    Lipschitz Property of Norms: Comparing α-norm and β-norm in ℝn

    Homework Statement Hello friends, i couldn't find a solution for the question below. Can you help me? Thank you very much. Let α-norm and β-norm be two different norms on ℝn. Show that f:ℝn->ℝm is Lipschitz in α-norm if and only if it is Lipschitz in β-norm Homework Equations...
  28. M

    Property of the plane, need clarification

    I am reading through Kiselev's Geometry: Book I. It is a plane geometry textbook and in the introduction it says the following "One can superimpose a plane on itself or any other plane in a way that takes one given point to any other given point, and this can also be done after flipping the...
  29. J

    Why is this property true of sets/indicator functions? (A page from my textbook)

    I can't for the life of me figure out why the underlined sentence in red is true: Could someone clarify?
  30. R

    Prove the mean value property of harmonic functions

    Homework Statement Let A \subset \mathbb{R}^{2} be an open connected set, and g: A → ℝ a C2 function. Show that if g is harmonic, i.e. \frac{\partial ^{2} g}{\partial {x_{1}}^{2}} + \frac{\partial ^{2} g}{\partial {x_{2}}^{2}} = 0, then g(x) = \frac{1}{2 \pi r} \int_{\partial B_{r}(x)}gds...
  31. MathematicalPhysicist

    Understanding the Product Property of Maslov Index: A Proof Using Homotopy Axiom

    How do I show that Maslov index satisfies the next property (product property). Let \Lambda : \mathbb{R} / \mathbb{Z} \rightarrow \mathcal{L}(n), and \Psi : \mathbb{R}/\mathbb{Z} \rightarrow Sp(2n) be two loops, then if \mu is defined as the Maslov index then \mu(\Psi \Lambda )=...
  32. M

    Property of correlation coefficient

    Homework Statement Prove the following: Let \rho be the correlation coefficient. Prove: \rho(X, Y) = 1 \iff P(Y=aX+b) = 1Homework Equations \rho(X, Y) = cov(X,Y)/\sigma_x\sigma_y The Attempt at a Solution I have no idea how to prove this, I know that rho must lie between 1 and -1 (inclusive)...
  33. J

    Proving the triangle inequality property of the distance between sets

    Proving the "triangle inequality" property of the distance between sets Here's the problem and how far I've gotten on it: If you are unfamiliar with that notation, S(A, B) = (A \ B) U (B \ A), which is the symmetric difference. And D(A, B) = m^*(S(A, B)), which is the outer measure of...
  34. S

    Convergent sequence property and proving divergence

    I feel like I'm missing something obvious, but anyway, in the text it states: lim as n→∞ of an+bn = ( lim as n→∞ of an ) + ( lim as n→∞ of bn ) But say an is 1/n and bn is n. Then the limit of the sum is n/n = 1, but the lim as n→∞ of bn doesn't exist and this property doesn't work...
  35. caffeinemachine

    MHB Convex hexagon's peculiar property.

    Prove that in any convex hexagon there is a diagonal which which cuts off a triangle with area no more than one sixth of the area of the hexagon.
  36. J

    About definition of 'Bounded above' and 'Least Upper Bound Property'

    The definition of 'Bounded above' states that: If E⊂S and S is an ordered set, there exists a β∈S such that x≤β for all x∈E. Then E is bounded above. The 'Least Upper Bound Property' states that: If E⊂S, S be an ordered set, E≠Φ (empty set) and E is bounded above, then supE (Least Upper...
  37. S

    Proof of the Order Divisibility Property

    The Order Divisibility Property states that if an = 1 (mod p), then the order ep(a) of a (mod p) divides n. How can I go about proving this? Additionally, if a is relatively prime to p, when does the congruence am = an (mod p) hold? Is there a proof for this as well? Thanks!
  38. P

    Proof involving the Archimedean Property

    Homework Statement If x is a real number, show that there is an integer m such that: m≤x<m+1 Show that m is uniqueHomework Equations Archimedean Property: The set of natural numbers has no upper boundThe Attempt at a Solution I'm having trouble with showing that m is unique. If x is a real...
  39. S

    Do I Need a Property Tax Lawyer?

    I have Recently Buyed a new Farm House and Taxes on that is too high according to the actual price of that property, so to get reduction on my property tax. Do I need a Property tax lawyer? Please Help…..
  40. D

    Associative Property of Convolution?

    Hi, I have a quick question about certain algebraic properties of convolution. If I have 3 functions x(f), y(f) and z(f), is the following true? [x(f) . g(f)] * z(f) = [x(f) * z(f)].g(f) I looked on Wikipedia but there's only a property like this if one of the terms is a scalar, so most...
  41. T

    Determine the unknown property of a perfect gas

    Homework Statement two hundred seventy grams of argon at a pressure of 160kpa and a volume of 1.3 m^3. Homework Equations pv=nrt The Attempt at a Solution (160^3)(1.3) = (.27)(8.31)(t) 208=2.2437t t=92.7
  42. T

    Determine the unknown property of a perfect gas

    Homework Statement a gas in 3-L container at a pressure of 300kpa and a temperature of 700 degrees celsius, and with a mass of .66 g. Homework Equations pv=nrt The Attempt at a Solution (300)(v)= (.00066 kg)(8.31)(191906 k) = 3.51 im not sure what conversion needs to be...
  43. C

    Mathematica Convolution property for InverseZtransform in Mathematica

    Hey! So when I enter this in Mathematica In[246] = ZTransform[Sum[f[k] g[k - n], {k, 0, n}], n, z] InverseZTransform[%, z, n] I get: Out[246] = ZTransform[f[n], n, z] ZTransform[g[-n], n, z] Out[247] = InverseZTransform[ZTransform[f[n], n, z] ZTransform[g[-n], n, z], z, n]...
  44. S

    DFT Symmetry Property: Why Does the Answer Not Void This Property?

    Homework Statement As an example, if we find a DFT of x[n]={1,1,0,1} the result will be X(m)={3,1,-1,1} Homework Equations My Question is that as we know DFT holds symmetry property, why this answer does not void for that property?
  45. P

    Proof of commutative property in exponential matrices using power series

    I'm trying to prove eA eB = eA + B using the power series expansion eXt = \sum_{n=0}^{\infty}Xntn/n! and so eA eB = \sum_{n=0}^{\infty}An/n! \sum_{n=0}^{\infty}Bn/n! I think the binomial theorem is the way to go: (x + y)n = \displaystyle \binom{n}{k} xn - k yk = \displaystyle...
  46. K

    Is color an intrisic property of a substance - even in a dark room?

    Is color an intrinsic property of a substance? I thought that if a red object is in an enclosed space, so that no light gets in, will no longer be red - and what makes the object "red" is that electrons absorb all colors of light and then reemit (reflect) the red light. Therefore, if no light...
  47. N

    Proving the Complex Hyperbolic Property Using Trigonometric Construction

    Homework Statement Show: sinh(z + i2(pi)) = sinh(z) using sinh(z) = (ez - e-z)/2 Homework Equations The Attempt at a Solution So far I have (ex + i(2∏+y) - e-(x+i(2∏+y))/2. Need help proceeding from here. My thoughts were to define a z' = x + i(2∏+y) but I don't think that I can then say...
  48. J

    Property of lower semi-continuous maps

    Homework Statement If X is a metric space then a map f: X \rightarrow \mathbb{R} is called lower semi-continuous if for each ray of the type (a, + \infty) , the inverse image of the ray under f is also open. If X is a compact metric space, prove that f is bounded below, and that f...
  49. O

    How to remove the magnetic property for screw driver?

    Referring to following video, if I magnetize my screw driver having a magnetic property in this way, I would like to reverse the process, is there any approach to completely remove this magnetic property? so there is no magnetic property from my screw driver. Does anyone have any suggestions...
  50. S

    A geometric property of a map from points to sets?

    I'm interested in the proper way to give a mathematical definition of a certain geometric property exhibited by certain maps from points to sets. Consider mappings from a n-dimensional space of real numbers P into subsets of an m-dimensional space S of real numbers. For a practical...
Back
Top