Local Definition and 491 Threads

Let A be a field of N integers and A[0] = A[N+1] = infinity. Element A[i] is called a local minimum if A[I-1] >= A[i] <= A[I+1]. Find an alogrithm that will find some local minimum in a time asymptotically better then O(n). Hint: Consider that in each field deffined as before there must exist at...

Let A be a field of N integers and A[0] = A[N+1] = infinity. Element A[I] is called a local minimum if A[I-1] >= A[I] <= A[I+1]. Find an alogrithm that will find some local minimum in a time asymptotically better then O(n). Hint: Consider that in each field deffined as before there must exist at...

Mathematical expression of Bell's "local realism" I have started this thread to continue a discussion with NateTG that was starting to get a bit off-topic there. I will repeat the base comment and then reply to NateTG's last comment. I would invite anyone interested to please join in...

I'm having a hard time understanding why the rationals are not locally compact. The definition of local compactness is that every neighborhood of x in X is contained in some compact subset of X. But what are the compact subsets of X? I think this is my biggest problem. I know that the...

I did look through this forum for other threads on this topic, but didn't find any. If this has already been discussed, then please let me know where the thread is. A common model for the expanding universe is an expanding balloon upon which some dots have been drawn. A well know flaw in this...

This post is motivated by some of the discussion on the "Is QM inherently non-local" thread. The goal is to demonstrate that there is a local hidden interpretation possible for any signal local theory. This interpretation will be Bell local, but not Bell realistic. So, let's say we have a set...

Ballot box stuffing between the primaries and the recount: http://www.phoenixnewtimes.com/Issues/2005-10-27/news/dougherty.html

i have this following code with local var as a "ref. to ptr" class node { CType* data; CTYpe* operator*() { return data; } } void F(node *a, node *b) { CType*& tp; tp=**a; } I get the error "Cannot convert CType* to CType*& which i sort of understnad but i do not know how...

Do you know why computer A can ping computer B but computer B can't ping computer A ? Firewalls on or off in this local cable sharing are not a problem. Just now that I can't do things like setting up [\\computerAName\ASharedFolder] from computer B's sharing widzard anymore. How can i fix this...

ok so in the problem f(x)= x + 9/x, I know how to write where f is increasing, but how do you write how it's decreasing? Is it written as [-3,0)U(0,3]? since x=0 is a vertical asymptote wouldn't all the x-values between -3 and 3 be as close to 0 as possible?

we're doing partial derivatives, and i thought i understood them until: f(x,y)=-x^2-y^2-10xy+4y-4x+2 we are meant to find and classify all local extrema. i got: f_x=-2x-10y-4 and f_y=-2y-10x+4 i've never had two variables at this stage, and i can't solve for any of the points. the...

No no, this isn't a long rant on biased media and different portrayals of world events... its about poker. yes, that's right. With two supreme court vacancies, terrorist attacks in London, record low unemployment rates... what is taking up half of the front page news in my city? Texas Hold Em...

Hello, in my lecture notes I have made a note that if V is a local potential, then <r|V|r'> is diagonal. Is this true, and how come? It popped up with the Lippmann-Schwinger equation, and I know it's important that V is local, but does really locality implicate diagonality? Jonas

In all the websites that offer a "local" service to find businesses near you I think that Google has the best. They have this satellite option that allows you to see clear images of buildings. I am sure you can spot your house with this thing once you zoom right it. Though this is not...

I know that, given an arbitrary unitary matrix A, it can be written as the product of several "local" unitary matrices Ai -- local in the sense that they only act on a small constant number of vector components, in fact it is sufficient to take 2 as that constant, which is best possible. For...

This thread asks: Can we be sure no local black hole exists? It will, I hope, focus on an effort to make at least an OOM estimate of photographic detection (visible light) by “weak quasar” radiations that may be produced as solar wind (or ISM if the BH is far away, where the solar wind density...

http://www.foxnews.com/story/0,2933,153135,00.html http://www.msnbc.msn.com/id/7477836/

the question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg what is the difference between a local max/min and a relative max/min? is the correct answer b?

For each patch, a coordinate function maps the local coordinates to the euclidean space. Collection of all patches with coordinate functions covers the whole manifold. What is a transition function and what is a change of coordinates? Is it that you got one set of local coordinates throughout...

hey guys...Can someone help me out here...i'm trying to understand what the difference between a global maximum and a local maximum is? arn't they the same??

the question is http://home.earthlink.net/~urban-xrisis/clip001.jpg I got a different answer than what the book says... so I need to find the formula of the graph. H'(3)=f(3)=2 m=\frac{\Delta y}{\Delta x} 2=\frac{\Delta y}{x- \int^3_0 f(t)dt} y=2(x+2) y=2x+4 the book's answer...

I'm kind of confused about whether or not an endpoint of an interval could also be a local extreme value. According to my textbook, it's true, but on the review sheets, the answers never included endpoints as local extrema. So can endpoints be local extrema?

How interested would astrophysicists be in being able to readily find concentrated sources of pristine material from just after the Big Bang in our galaxy?

I will split this post so to make it easier to reply, if needed. I. Background ============= The EPR Paradox (1935) left the scientific community in a divided state. Some saw QM, even then a successful theory, as the likely victor in the debate over realism. But many remained unconvinced...

Find the local maxima: f(x)=2x^3 - 3x^2 -12x + 3

Suppose that c1 < c2 and that f takes on local maxima at c1 and c2. Prove that if f is continuous on [c1, c2], then there is at least one c in (c1, c2) at which f takes on a local minimum. This question seems common sense, but does anyone know how to actually prove this?

what can be said about the function f, if f is continuous on [a,b], and for some c in (a,b), f(c) is both a local maximum and a local minimum?

when: g'(2)=1 g'(3)= -2 msec=mtan g'(2.5)=(y2-y1)/(x2-x1) =(-2-1)/(3-2) =-3/1 =-3 I got this question wrong on a test, were was my mistake?

I'm stuck on this question Show that f(x1,x2) has a strict local minimizer at t=0 along every line { x1=at { x2=bt through (0,0). Any hints or tips would be great thanks

My webdesign teacher assigned me a special project a while back, and needed it to get done as soon as possible. It was to be a campaign webpage for one of the school's teachers, Jim Riis, who was running for a district seat in the House of Representatives here in Florida. After rushing...

We already had some brief discussion (2 posts) of this paper in the "Intuitive...Program" thread that is serving as a catch-basket for Loop-and-allied Quantum Gravity links. It probably could use its own thread, to allow space for more discussion, if desired. After I posted this mention of the...

What are the Local operations and classical communication that i keep hearing about? It arises in quantum teleporting. Though i know that to perform quantum teleporting you need a classical channel (a phone line, an e-mail, etc) and I guess that classical communication refers to that, I still...

Can the presence of gravitational, or electro-magnetic fields cause virtual particles to arise with a preferential physical orientation? Logically, the virtual particles should not emerge in a preferred orientation if they arise spontaneously, and can't be acted upon by local fields until...

LIM stands for Local Infinitesimal Motion. LIM is motion of two exclusive space points at the local infinitesimal region of space. The metric can be theorized to be smaller than the Planck length of 10^{-33} cm . It is known that all fermions possesses a magnetic moment. The existence of...

Just as the thermal equilibrium between two relatively receding (c<v<2c) cosmological horizons is justified by inflation, such a Higgs phase transition could account locally for correlations violating the Bell inequality through superluminal (c<v<2c) "signaling."

A PF poster recently asked about the Background Independence feature that distiguishes classical 1915 General Relativity from Stringy theories. She suggested that the explanation be at the "basic Xray tech" level. That probably means starting with a short exerpt from Smolin article in...

Does anyone know the basics of the local spin density approximation?

maybe someone else can clarify; these recent papers suggest a surprising turnaround in the quantization of General Relativity, contrary to some earlier papers by other people, they predict no quantum gravity dispersion in longrange transmission of light: On low energy quantum gravity induced...

Local Resident Presents "bigfoot" As Biological Fact ""The more evidence that comes forth, the harder it is to refute," Brown continued. "People just can't seem to come to grips with the fact that there is a possibility that one of the most important biological finds possibly exists right here...

I met a guy from PA the other night who is in a band called Co-Evolution. Check them out at http://www.odin-tech.com/evolution/home.html After speaking to him, I'm sure he would not mind the attention. Although some/most of you may not enjoy this, you can tell your young assistants about...

Want to see the 'local' space (milkyway galaxy) in a 3D (controlable) video graphic, try clicking http://www.shatters.net/celestia/" to go to the download site. Enjoy, have fun, it's free, it's neat (my opinion) and it is very well done graphics for a free download.