Map Definition and 403 Threads

Homework Statement Give a specific example of an operator T on R^4 such that, 1. dim(nullT) = dim(rangeT) and 2. dim(the intersection of nullT and rangeT) = 1 The attempt at a solution I know that dim(R^4) = dim(nullT) + dim(rangeT) = 4, so dim(nullT) = dim(rangeT) = 2. I also...

I want to prove that if all the eigenvalues of a linear transformation T : V --> V are zero, then T = 0. I think this is obvious but I'm having difficulty putting it into words. If all the eigenvalues of T are zero, then there exists a basis B for V in which [T]_B is the zero matrix. Thus...

Homework Statement Draw the schematic circuit diagram that implements the following expression using as few basic gates as possible (AND, OR, NOT, XOR, NAND, NOR). The prime denotes the complement: f = w^\prime z^\prime + w^\prime xy + wx^\prime z + wxyz The Attempt at a Solution From the...

I have 2 maps f and h such f :\, (\mathcal{X}, \mathbb{E}) \rightarrow (\mathcal{Y}, \mathbb{K}) h :\, (\mathcal{X}, \mathbb{E}) \rightarrow (\mathcal{Z}, \mathbb{G}) where \mathbb{K} and \mathbb{G} are \sigma-algebras on the spaces Y and Z respectively, and \mathbb{E} =...

Homework Statement While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30degrees west of north, then 1.00 km 40.0 degrees north of east where you find a treasure. To return to the oak tree, in what direction would...

I want to map the temperature gradient in my part of town. I live within spitting distance of the lake and want to demonstrate the lake effect. Ideally, I would make the geographical location of reading-taking as a constant (a grid of points across the area) and record the temperature value...

Homework Statement THe quotient map f is open but is it also closed? The Attempt at a Solution I think it is. Consider f: X->Y FOr every open set V in Y there exists by definition an open set f^-1(V) in X. There is a one to one correspondence between open sets in X and open sets in Y by...

Homework Statement This is a problem related to linear map over vector spaces of functions and finding kernels. Let V be the vector space of functions which have derivatives of all orders, and let D:V->V be the derivative. Problem1: What is the kernal of D? Problem2: Let L=D-I,where I...

Homework Statement Let f:R^n-->R^n be a C^oo proper map. Suppose there is a real number r such that f(x)=x for all x in R^n with |x|> r. Show that for every compactly supported smooth n-form w on R^n integral of f*w = integral of w. Here, integral is defined on R^n. Homework Equations...

Hi, I'm working on some homology problems but I need help figuring out the induced map from a given map, say f:X\rightarrow Y. For example, compute H_* (\mathbb{R}, \mathbb{R}^n - p) where p \in \mathbb{R}^n. So for n=1, we have the long exact sequence 0 \rightarrow...

Hey all, I'm writing a piece of music for a competition in England and it requires a map of our galaxy. I've written off to NASA but I suspect I am not going to get any joy from them. In short, does anyone know where I can get a map of our galaxy from? It needs to show the position of the...

X is a smooth quasi-projective variety over Q. Beilinson's regulator map is a map from the motivic cohomology H to the Deligne cohomology H_D. Originally the motivic cohomology was defined by Beilinson as an eigenspace of an Adams operation on an algebraic K-group. Bloch (or Levine or someone...

Hi, I'm wondering how to give a map a fixed size like you can give an array a fixed size by just "byte data[SIZE*DATASIZE]".. or if it's possible anybody know.. struct Table { map<int, int> table; // }; struct Table *flightChart; The reason I have to give this a fixed size, is...

Hello, I am a new sysop for a company who uses Citrix Metaframe XP 1.0 and ICA remote connections. As far as I can tell, this version of Citrix does not support USB Printers when it auto-configures client printers for application use. However if the same printer is plugged into a LPT...

grrr, so annoyed, can't see the wood from the trees on this problem! I'm trying to get a holomorphic map from C/(Z+iZ) -> C/(Z+iZ) where C=complex numbers and Z=integers. Does this function have to be doubly periodic? Are doubly periodic functions the same as elliptic functions? Are all...

I need help. For this problem, you have to use the Gram-Schmidt process to make it orthogonal. My trouble is finding the bais for the kernel of the linear map L: R4 -> R1 defined by L([a,b,c,d)]=a-b-2c+d I know the dimension of the kernel is 3, but how? I have tried setting it...

http://img61.imageshack.us/img61/9930/scimapgx8.jpg This map was constructed by sorting roughly 800,000 published papers into 776 different scientific paradigms (shown as pale circular nodes) based on how often the papers were cited together by authors of other papers. Links (curved black...

In trying to get some perspective on the papers that appeared first quarter 2007, I've come to the opinion that this is potentially one of the more productive ones. It is not just about 3D quantum gravity-and-matter. It has also things to say about 4D gravity-and-matter...

https://www.physicsforums.com/showthread.php?p=1277407 (main thread in Linear & Abstract Algebra) http://science.slashdot.org/science/07/03/19/117259.shtml

Homework Statement Consider the linear map A : R3 ----> R3 given by A(x1, x2, x3) = (x1 − x2,−x1 + x2, x3). (a) Find the adjoint map A^*. (b) Obtain the matrix representations of A and A* with respect to the canonical basis f_1 = [1, 2, 1], f_2 = [1, 3, 2], f_3 = [0, 1, 2]...

suppose q:M -> M/R is a quotient map. i've asked my dad what is the quotient map from MxM to (M/R)x(M/R)? he told me it is qxq: MxM -> (M/R)x(M/R) defined by (qxq)(x,y) = (q(x), q(y)), but there are some conditions to be met, but he could not remember what those conditions are. i...

http://www.esa.int/esaCP/SEMZ6GSVYVE_index_0.html Go read it while I try to comprehend how they managed to map the dark matter in the universe by studying a relatively tiny part of the sky.

Homework Statement (i) Drawing a contour map for the function h(x.y) = -12-4x^2+16x-y^2-8y (ii) (Continuing from i) at the point (1,-1,7) which direction to move to have the maximum increase in height? (iii) Find the point closest to the origin on the curve of intersection of the...

Could someone recommend a way to open and edit a bitmap file in Visual C++?

http://physicsweb.org/articles/news/10/6/3/1?rss=2.0 ===sample quote=== Levine and colleagues took previously obtained data from the hydrogen "21-cm emission lines" and applied a technique called unsharp masking to increase the contrast between high and low signal regions. They found that the...

Hi, this should be simple but it's really giving me difficulty. Does anybody know what the Boolean Equation would be for this Karnaugh Map? Thanks in advance, Oliver

Hello, I have a sum: ------- make a contour map from a height field h(x,y) = x^2 + y on the domain: [-3<_ x <_3 ; 0<_ y <_9]. Make an east-western cross section (paralell to x-axis) through the field h in the northern, middle and southern part of the domain and draw all three height...

I'm trying to understand what one-forms are. The book I'm reading says a one-form is a linear map from a vector to a real number. It uses the gradient as an example but isn't the gradient a map from a function to a vector?

The logistic equation; x(n+1) = rx(n)(1-x(n)) shows chaotic behavior under some values of r. It is a discrete chaotic system. Is it possible to translate it to continuous chaotic system? I tried it in the following site; http://geocities.com/tontokohirorin/mathematics/moduloid/moduloid2.htm

I have to list the temperature (cold or warm, the black ones "are the same temperature as the current leading into it") of the following currents: North Atlantic Labrador (Newfoundland) Oyashio (Japan) Alaska California Gulf Stream Canary (NWAfrica) Kuroshio (Taiwan) Peru...

does anyone knows how to find out the "next state" eqn from the karnaugh map of a present state?? pls help...

Archaeologists find western world's oldest map By Hilary Clarke in Rome http://www.telegraph.co.uk/news/main.jhtml?xml=/news/2005/11/18/wmap18.xml&sSheet=/news/2005/11/18/ixworld.html Hopefully there is more.

I have to make a concept map in Microsoft Word (Not necessarily but that's the only thing I know how to use.) but I can't figure out how. I've done it before so I can't figure out why it isn't working now...:confused: Anyone have any suggestions for making a concept map?:smile:

I'm trying to create an area mep for an image, but it's not working right. any help? <html> <head> <title>Enter through the door</title> </head> <body> <map name="amap"> <area shape="rect" coords="474,202,541,358" href="../leveltwo.htm"> </map> <center><img...

Oh wow this is friggen awesome! http://www.risingconcepts.com/frapper/physicsforums You just type in your screen name and zip code and you're put on the map! Now we can see where everyone lives :)

Hi All, I'm looking for the conformal mapping (using complex functions) that maps the unit circle (or the upper half plane) into a REGULAR polygon with n vertices. I know the Schwarz-Christoffel transformation for an ARBITRARY polygon, but that doesn't help me because the expression is way...

A paper just came out this month that makes it more certain that the Cosmic Microwave map will have to be revised, with even less quadrupole and octopole power. http://www.arxiv.org/abs/astro-ph/0508047/ On the large-angle anomalies of the microwave sky I opened a thread on this paper in...

What are the relations between a matrix H and its transpose H^T? I am not asking about the relations between the coefficients, I am asking the relations as linear maps (H: F^m->F^n; H^T: F^n->F^m). I am not sure exactly how I should pose the question actually, but I am thinking there is some...

I happen to think it does. I will try to say why in this thread. Other people may very likely disagree, so it is possible to have discussion about this. you can get most of CDT out of two basic papers "Dynamically..." and "Reconstructing..." the links are in my signature. I will copy them...

Source; The Guardian - London, UK http://www.guardian.co.uk/arts/news/story/0,11711,1427600,00.html 03-01-05 Ancient Sky Map Or Fake? German Experts Row Over Star Disc Luke Harding in Berlin The Guardian quote:"One of Germany's most acclaimed archaeological finds - a 3,600-...

Children of Millennium has posted a rather impressive-looking global map of national IQs. Here is the map: http://www.childrenofmillennium.org/eugenics/pages/articles/IQmap.gif It is linked from this article on national IQs: http://www.childrenofmillennium.org/science.htm

Okay, so I'm having problems figuring out how exactly i can map the interior of Cassini's oval (|z^2-a^2|<r^2 , 0<a<r) onto the unit disk (|w|<1), so that the axis of symmetry are preserved. Anyone know how to do this? :confused: (In this case, the cassini oval is a peanut shaped domain, i think)

I'm trying to prove some stuff that involves the projection map, say p:X x Y ->X. But I need to know if it's continuous. If a map is continuous, then the preimage of a open/closed set is open/closed. The problem is, what do open sets in X x Y look like? I know what the basis elements are...

Sorry to have posted this twice, but I didn't realize there is a special homework help section until after I'd posted in another part of the board. Anyway, any guidance in how to draw the diagram for the following problem would be greatly appreciated. I'm not sure about the position of the Z...

Plane Map <=> Planar Graph ?? Hi, Wondering if anyone can help me to find some kind of proof that all Plane Maps can be represented by planar graphs and vice versa... for all Planar Graphs exists a Plane Map? I did a quick search without much luck. Thanks

What I DO NOT NEED OR WANT! Star maps that show the locations of stars from any point of view on Earth. (I don't need to see views from Earth, already got plenty of resources for that. I need to be able to see what surrounding stars would look like if you were at or near OTHER stars.) I do...

Hi all, I'm trying to locate a map with a lunar "sea-level" and colors (or similar) which change based on relative altitudes. I'm striking out online in my quick 15 minute search. Does anyone know of where I should be looking? Thanks,

I was reading some article about some scientists who were able to 'read' some sort of cosmic background radiation and determine the size, shape, and age of the universe or whatever. How do they take these radiation readings and create an 'image' or understanding of the universe?

Way cool. http://www.astro.princeton.edu/~mjuric/universe/ - Warren

Physics equation map? Does anyone know if there is some sort of 'map' or flowchart available whereby you can use the information you have and trace your way through directions to get another result eg. start at distance/time ==Differentiate=> velocity =differentiate=>...