What is Local: Definition and 519 Discussions

Local history is the study of history in a geographically local context and it often concentrates on the local community. It incorporates cultural and social aspects of history. Local history is not merely national history writ small but a study of past events in a given geographical but one that is based on a wide variety of documentary evidence and placed in a comparative context that is both regional and national. Historic plaques are one form of documentation of significant occurrences in the past and oral histories are another.
Local history is often documented by local historical societies or groups that form to preserve a local historic building or other historic site. Many works of local history are compiled by amateur historians working independently or archivists employed by various organizations. An important aspect of local history is the publication and cataloguing of documents preserved in local or national records which relate to particular areas.
In a number of countries a broader concept of local lore is known, which is a comprehensive study of everything pertaining to a certain locality: history, ethnography, geography, natural history, etc.

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  1. M

    Continuous and open function and local extrema

    Homework Statement . Let ##f:ℝ→ℝ## be an open and continuous function. Prove that f doesn't have local extrema The attempt at a solution. I suppose there is some ##x_0 \in ℝ## and some ##ε>0## such that ##f(x_0)≤f(x)## for all ##x \in (x_0-ε,x_0+ε)## (the proof for relative maximum is analogue...
  2. T

    Generic Local Electromagnetic field - MTW Ex 4.1

    Can anyone help me with Ex 4.1 in MTW? What is a 'generic' field? My expectation is that it would comprise an Electric Field, with arbitrary direction, a Magnetic Field, also with arbitrary direction, and a radiation field (E and B of equal magnitude) , radiating in an arbitrary direction...
  3. T

    Schools Doing Research as a community college student at a local University

    I just found out if I want to transfer to a UC I will have to take 3 years at my local community college. Is it reasonable to go talk to professors at the local university (Cal Poly SLO) and see if I could do research with them? I do not really have much to offer them other than a dedicated...
  4. L

    On local trivializations and transition functions of fibre bundles

    Hi everyone! I would like to ask you some clarifications on an explicit example of local trivializations and transition functions of fibre bundles: namely on the [-1,1]\hookrightarrow E\rightarrow S^1 bundle (which I guess is the simplest possible example). Following Nakahara (chapter 9...
  5. anorlunda

    Local Versus Remote Views of Temperature

    I struggled long and hard to resist the idea that Alice observes nothing special as she falls into the Schwarzschild horizon of a BH. Now, I accept it. The thing that did it for me was professor Susskind's description of deSitter space, and how the math of the metric for the cosmological...
  6. P

    Local Electrodynamics in higher dimensions?

    Local Electrodynamics in higher dimensions?? So I am an unexperienced undergrad but the other day I had a few thoughts which are most likely crazy. I'm just wondering why they don't work. And whether the questions I'm asking are answered elsewhere. So I've heard: (i) Maxwell's...
  7. D

    Local Conservation Of Charge And Quantum Mechanics

    I understand it from a classical viewpoint, like the flow of a fluid. But shouldn't an electron obey the rules of QM? How is teleporting from one place to another forbidden in QM, wat about tunneling.Where is your continuous flow now? What about Quantum Entanglement. I don't get it.This...
  8. O

    Deriving the local field and Clausius Mossotti formula in a dielectric

    (My last https://www.physicsforums.com/showthread.php?p=4424810#post4424810 post did not get much attention so I try again without all these formulae. Think this will be more clear...) To derive the local field in a non-polar dielectric you assume a very small spherical cavity in which (since...
  9. S

    Supergravity = local SUSY or gravity mediation?

    Hi, in some texts, the term supergravity refers to locallized supersymmetry but most of the times, I have the impression that it refers to gravity mediated supersymmetry breaking (i.e. higher dimensional terms in the kahler- and superpotential that are suppressed by powers of the Planck...
  10. O

    Finding local flat space of the Poincare half-disk

    ΩHomework Statement Given the metric ds^2 = \frac{dx^2 + dy^2}{y^2} find a set of coordinates which yield local flat space. i.e. ( g_{\mu\nu} = \delta_{\mu\nu} + second order terms). My text outlined a process to go through to find the flat space coordinates, but the actual execution is...
  11. O

    Estimating the (average local field)/(Applied field) in water

    Homework Statement At room temperature the relative permittivity (ε) of water is 80. The dipole moment of a water molecule is 6.2×10-30 coulomb meters. What is the average value of Elocal/E for a water molecule? (In working out this problem, neglect the contribution to the relative...
  12. M

    Gravitational center of the Local SuperCluster

    I spent days trying to find this information on the internet, but i think i will never find it, so i came here looking someone who knows it. The Mystery is : Where is the Gravitational center of the Local SuperCluster (Also known as Virgo SuperCluster) ? Some Usefull information that i...
  13. C

    Local flatness for non-freely falling observers?

    The equivalence principle implies that it's always possible, by an appropriate coordinate transformation, to locally transform away the effects of gravity by going into a freely falling frame. Furthermore the local flatness theorem implies that it's always possible to but the metric ##g_{\mu...
  14. WannabeNewton

    Local Lorentz Frames: Definition & Context for GR

    Hey guys. I'm having doubts about something in a GR text I read (Gravitation - T.Padmanabhan). In general, for Lorentzian 4-manifolds, we call a basis of smooth vector fields ##(e_{\mu})^{a}## (that is, a set of smooth vector fields that define a basis for the tangent space at each event of...
  15. A

    No drama quantum electrodynamics? (was: Local realism ruled out?)

    As the only thread I've ever started before (https://www.physicsforums.com/showthread.php?t=369328 ) attracted a lot of interest, became one of the most viewed threads in the forum, and was closed :-), I'd like to make a short update here. I have published a new article on the topic: "No...
  16. F

    Local flatness at r = 0 for star interior spacetime

    Hi All, I am interested in the discussion in section 10.5 of Schutz's First Course in GR book. Specifically, the conditions at r = 0 of a static, spherically symmetric interior star (or whatever) solution e.g. Schwarzschild interior solution. He argues that by enforcing local flatness one...
  17. S

    Show that geometry has local inertial frames

    Homework Statement ds^2 = g_{tt} dt^2 + g_{tx} (dt dx + dx dt) with g_{tt} = -x and g_{tx} = 3 "Show that this is indeed a spacetime, in the sense that at every point, in any coordinates, the matrix g_{\mu \nu} can be diagonalized with one positive and one negative entry. Hint: You...
  18. quasar987

    Jacobi identity in local coordinates?

    Jacobi identity in local coordinates?!? Apparently (i.e. according to an article written by physicists), the Jacobi identity for the Poisson bracket associated to a Poisson bivector \pi = \sum\pi^{ij}\partial_i\wedge\partial_j is equivalent to...
  19. O

    What does local causality mean?

    Also how can local causality be violated?
  20. C

    Study in local state University without TA'ship or try again next year

    Greetings Physicists, I've been accepted to study at my state University for my Ph.D in Physics. I reticent to accept however for two reasons; 1. They are not offering me a TA'ship immediately. This means I would have to finance at least my first year with student loans and work study...
  21. Spinnor

    Bob makes a local gauge trans., can Alice undo with some fields?

    Say Alice gives Bob the wave-function, a momentum eigenstate, of a charged particle. Bob then makes a local gauge transformation on the wave-function, ψ --> exp[iqθ(X,t)]ψ. Can Alice now undo the local gauge transformation with the right addition (or subtraction?) of electromagnetic...
  22. bayan

    How to Interpret an Altitude vs Local Time Graph for Astronomy?

    Hi, I need some help with interpreting an altitude vs local time graph. http://img401.imageshack.us/img401/4871/astronomygraph.jpg is a link to the graph and some of the questions that were asked about the graph. also this information was provided: Date of observation: christmas night...
  23. M

    Find global minimum of f(x1,x2, xn), with many local minima

    Hi I have some function f = f(x1,x2,...xn) over some domain [0,1]^n, and I'd like to find the global minimum. The function is *highly* non-linear and takes about 1 second to evaluate. I know it's positive because it's the sum of squares of about 1,000,000 arguments, each of which pretty much...
  24. MarkFL

    MHB Mattyk's question at Yahoo Answers regarding local extrema

    Here is the question: Here is a link to the question: Calculus homework help?!? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  25. W

    How to do local Physics Analysis ?

    How to do local Physics Analysis ?? You Know all the LHC machine at CERN, and the CMS detector (Compact Muon Solenoid) This detector run a CMSSW ( CMS Software ) on CERN machines, can i download that software on my local machine, run it and do physics analysis? if yes how to download it, and...
  26. D

    Local solutions to semilinear parabolic PDE with a singular nonlinearity

    Hi everyone, I met a specific semilinear second-order PDE given by \frac{\partial u(x,t)}{\partial t} = {\bf A}(x,t) u(x,t) + U(x,t) u(x,t)^{-p} + A(x,t),...(1) u(x,0) = b>0, where p>0,\ \ (x,t) = (x_1,x_2,t)\in{\bf R}_+^2\times [0,T] , and {\bf A}(x,t)u =...
  27. N

    Mass, Weight and the local acceleration due to gravity

    Homework Statement A person whose mass is 150lb weighs 144.4 lbf. Determine a) the local acceleration of gravity, in ft/s2, and b) the persons mass, in lb and weight, in lbf, if g = 32.174 ft/s2 Homework Equations F=ma The Attempt at a Solution A) Using F=ma I got 144.4 lbf =...
  28. samalkhaiat

    Non-abelian Local Gauge Invariance in Field Theories

    These are notes I made when I was studying the subject 20 years ago. They seem fine considering that I was student then. I believe they can be useful for those who are studying Yang-Mills and other related material. Sam
  29. B

    Is the Local Fluff Causing Warming in Our Solar System?

    I have recently read a few things about the local interstellar clouds and while I am by no means a science expert, math and science were my strong points. After reading about this a few things occurred to me, and they seem to be bad for our solar system. The clouds are ~10,000° C, our solar...
  30. H

    Schools Freshman at my local community college

    Let me start this off by informing you a little about myself. I am a Freshman at my local community college. I am majoring in Biological Science (that's the only science major of study here; kind of covers it all.) I am majoring in Physics as my field of study, however. Physics has always...
  31. S

    F = MA Exam 2012 # 23 (Measuring local gravitational acceleration)

    Homework Statement Which of the following sets of equipment cannot be used to measure the local value of the acceleration due to gravity (g)? (A) A spring scale (which reads in force units) and a known mass. (B) A rod of known length, an unknown mass, and a stopwatch. (C) An inclined...
  32. O

    Function with many local minima

    I've been working on a decentralized algorithm for finding local minima. Can anyone give me a few examples of mappings of the form F:R→R that have multiple local minima. I'm having problems defining neighbourhood on mappings from R2→R, so I thought I'll test it out on single variable functions...
  33. H

    Why do we use Local field correction?

    Knowing the dielectric constant of a medium we can earn the electric field at any point in that medium which is deferent from the applied external electric field. So why do we use the Local field correction?
  34. P

    X^3-2x-2cos(x) find local extrema

    Homework Statement Find the local extrema of the function f(x)=(x^3-2x-2cos(x))Homework Equations derivatives, some algebra The Attempt at a Solution Well, the concept is simple. Solve for the first derivative and set it equal to zero: dy/dx=2sin(x)+3x^2-2=0 and Next, solve for x to...
  35. A

    How Does Spacetime Curvature Affect Tangential Light Speed Measurements?

    The coordinate speed of light relative to its speed at infinity is calculated as (1-2M/r)c (at infinity) yes?? SO it makes sense that local measurements made with local rulers and clocks which are contracted and dilated respectively would still be c for radial measurements. But how does that...
  36. M

    Local Existence and Global Existence of differential equations

    Hi everyone! :smile: I'm newbie in this forum, please help me for my question. In differential equation we know that the differential equation has a solution and uniqueness. which is usually called the existence and uniqueness theorem. my question, what is the difference of local existence...
  37. PhizKid

    Why is this not a local maximum?

    Homework Statement Why is 'a' not a local maximum? Homework Equations The Attempt at a Solution According to the definition of a local maximum, I have to take an open interval around 'a' so it seems like 'a' is a local maximum. I don't understand why it isn't.
  38. P

    P(x) has two local maxima and one local minimum. Answer the following

    Homework Statement Assume that the polynomial P(x) has exactly two local maxima and one local minimum, and that these are the only critical points of P(x). Sketch possible graphs of P(x) and use them to answer the following. (e) What is the sign of the leading coefficient of P(x)? positive...
  39. L

    Should it matter to me that my local CC doesn't offer an AS in Mathematics?

    I tried doing a google search on this and couldn't find the information I was looking for. My first undergrad was in Intelligence Analysis (I was MI in the Army) and now in my 4th year as a Business Student and I've gotten the math bug. I'd like to avoid high costs of school (my current...
  40. A

    Local Max/Min and saddle points

    Homework Statement Find the local max/min or saddle points of f(x,y) = (x-y)(1-xy) Homework Equations The Attempt at a Solution I expanded the equation to f(x,y) = x-y-(x^2)y+xy^2. Then I found the partial derivatives of the function. fx = 1-2xy +y^2 fy = -x^2-2xy I'm...
  41. M

    Local Extrema of Functions Exhibiting Self-Similarity

    Hi guys. Today was my last day of Calculus I class, and I’ve had this question simmering in my mind for some time now. Perhaps you guys may enlighten me or point me in the right direction? Consider the Weierstrass function, which is continuous everywhere but differentiable nowhere. We know that...
  42. C

    How a local diffeomorphism preserves orientation

    Hi, I'm currently reading Manfredo do Carmo's "Differential Geometry of curves and surfaces" and I'm stocked with problem 2 of section 2-6 which is "Let S_2 be an orientable regular surface and \varphi:S_1 \rightarrow S_2 be a differentiable map which is a local diffeomorphism at every p \in...
  43. S

    Noether currents for local gauge symmetry

    hi everyone, I have been trying to understand gauge theory. I am familiar with the Noether's theorem applied in the context of simpler textbook cases like poincare invariant Lagrangians. This is my question: Are there Noether currents corresponding to the local gauge symmetries too and would...
  44. C

    Local Landmarks & General Relativity

    General relativity says that nothing can go faster than the speed of light when measured against local landmarks. What counts as a local landmark? What is the boundary between a local and distant landmark?
  45. B

    Estimating Local Sidereal Time

    Pretty elementary question here, but I'm new to astronomy and I'm having trouble estimating LST. Online sources give me the exact formula, but this doesn't really help me on the fly. My location is 97.7-ish degrees W of Greenwich, which I know means I can subtract roughly 5.5 hours from Sidereal...
  46. L

    Global and local Lipschitz proof

    Homework Statement f(x)={0 for x<0, \sqrt{x} else} a) Is f(x) globally Lipschitz? Explain b) Find the area for which f(x) is locally Lipschitz. Homework Equations The Attempt at a Solution a) f(x) is not globally Lipschitz in x on [a,b]xRn since there is a discontinuity at x=0. b) I would...
  47. N

    Local flat space and the Riemann tensor

    Can somebody explain in layman's terms the connection between local flat space (tangent planes) on a manifold and the Riemann tensor.
  48. D

    Calculus of Variation on Local Regions of Function Space

    I am familiar with basic calculus of variations. For example, how to find a function that makes some integral functional stationary (Euler-Lagrange Equations). Or for example, how to perform that same problem but with some additional holonomic constraint or with some integral constraint. The...
  49. alemsalem

    Gravitational Wave Local Energy: Not Gauge Invariant?

    I'm reading wald page 85, and he defines a stress-energy tensor for the linearized gravitational field. he mentions that it not gauge invariant as a problem. but isn't that a general property of any tensor (except scalars). so any stress-energy tensor will not be gauge invariant (change of...
  50. D

    New unbiased technique for the measure of the local dark matter density

    Plenty of Dark Matter Near the Sun http://www.sciencedaily.com/releases/2012/08/120809090423.htm Evidence for dark matter near the sun "We are 99% confident that there is dark matter near the Sun," says the lead author Silvia Garbari. In fact, if anything, the authors' favored dark...
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