Local Definition and 521 Threads

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...

Catching the winds of inspiration from the White Racist Republican Wins Seat thread -------- I had heard about Councilman Joe Brown, from Memphis, Tennessee, but not until this thread was it worth posting ---- So, as Exhibit 1 - if you would take a look at some real down home racism – I give...

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.