Dimension Definition and 881 Threads

Homework Statement Hai Friends, i want to know the complete the dimension of bevel gear front teeth width and end teeth width. How this dimension are related with emperical formulas please give me complete detailing of bevel gear far straight and spiral also...

[SOLVED] Dimension of column- and rowspace Homework Statement My book doesn't answer this question clearly, but I have notived the following connection: Does the dimension of the rowspace of a matrix equal the dimension of the columnspace of a matrix which equals the rank of the matrix?

Select ALL the valid statements, i.e., B, AC, BCD. If an equation is dimensionally A) correct, the equation must be correct. B) correct, the equation may be wrong. C) incorrect, the equation may be correct. D) incorrect, the equation must be wrong. E) correct, the equation may be correct...

Consider that you have derived the Lorentz transformations in one space diomensions x=g(x'+Vt') t=g(t'+Vx'/c^2). In order to extend the problem to two space dimensions many Authors add y=y'. Please tell me if that is the best approach. Thanks.

Edward Witten on LQG "for lambda > 0, QG does not exist in any dimension" arxiv.org/abs/0706.3359 - page 6 "for lambda > 0, QG does not exist in any dimension" ...the reason... "cannot provide precise observables" As I understand Edward Witten, deSitter space is not stable but metastable, and...

Find the dimension of the solution space of Ax=0, where A=1 2 5 -1 3 1 is the rank(A)=2 so the nullity(A)=2? is this correct?

What is the exact definition of the dimension of a topological space?

Everyone "knows" that the fine structure constant (alpha) is a dimensionless number, but I am troubled by the fact that the Planck unit of resistance must be one - if that is true - and that strikes me as suspicious. I wonder if anyone can shed any light on this. I present the complete...

Homework Statement Two masses hanging vertically from a pulley are each initially 1.6 m above the ground and the massless frictionless pulley is 4.8 m above the ground. What maximum height does the lighter object reach after the system is released? Homework Equations \vec{F}_{net} =...

Ok I am stuck on how to solve this problem and i don't have physics again until next week. The question is: A ball is thrown horizontally at 22m/s from the roof of a building lands 36.0m from he base of the building. How tall is the building?

Find the dimensions of the soultion space of Ax=0, where A= 1 2 5 –1 3 1 (A is a 2x3 matrix). To find the dimension you have to subtract n from rank(A) //n being the number of columns 3-2=1 The dimension of the solution space is 1. is this correct?

I wasn't sure where precisely to put this, hopefully it gets an answer here. In my computational physics class we just learned about the correlation dimension. I know how to compute it, but don't quite know what it means. I learned roughly that the correlation dimension of something is a...

Given the vector space consisting of all bilinear forms of a vector space V (let's call it B) it's very easy to prove that B is the direct sum of two subspaces, the subspace of symmetric and the subspace of skew symmetric bilinear forms. How would one go about determining the dimension of these...

It don’t get much weirder than this. The universe is about to lose its dimension of time says a group of theoretical astrobods at the University of Salamanca in Spain. And they got the evidence to prove it. [..] This ain’t entirely bonkers and here’s why. Bars Mars has calculated what it’s...

hi, I have to find the dimension of the constant C2. I have no problem with finding constant C1. Here is the question, and I appreciate your help. the equation is : m= \sqrt{\frac{2t}{C1}}+m cos(\frac{1}{C2}t) I would like please to understand the solution with knowing the exact...

Why does does the following code not compile? PROGRAM TYPES INTEGER A(3) A(1)=1 A(2)=2 A(3)=3 CALL SUBR(A) print *,'Done' RETURN END C --- Here is a subroutine ----- SUBROUTINE SUBR(A)...

Homework Statement A quarterback claims that he can throw the football a horizontal distance of 184 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 29.7 ° above the horizontal. To evaluate this claim, determine the speed with which this...

Hey guys, Does dimension remain unchanged under a linear map? Ie if i have a map f:U->V does dim(U) = dim(img(f))? Cheers -Z

-------------------------------------------------------------------------------- A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8m/s at an angle of 20 below the horizontal. It strikes the ground 3.00s later. The horizontal distance at which...

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8m/s at an angle of 20 below the horizontal. It strikes the ground 3.00s later. The horizontal distance at which the balls strike the ground from teh base of teh building and the height from...

Homework Statement Describe in words the region of R3 (3 dimension) represented by the following inequality. 1)xyz=0 Homework Equations none i know of The Attempt at a Solution no idea where to start. I know that this means one variable must be equal to 0, but i don't...

Homework Statement #1 Runner A is initially 4.0 mi west of a flagpole and is running with a constant velocity of 6.0 mi/h due to east. Runner B is initially 3.0 mi east of the flagpole and is running with a constant velocity of 5.0 mi/h due west. How far are the runners from the flagpole...

In magnetism , mH = F, where m = pole strength ; H= magnetic field intensity ; and F = Force. F = [ MLT^{}-2] Proof that dimension of mH = [MLT^{}-2]

Homework Statement I am learning linear algebra (basic) and using Lang's book. In talking about vector spaces (finite dimensional only), it is easy to understand what is the dimension of the vector space (i.e. the number of elements in any basis). But I met the following case (not a vector...

What is the meaning of dimension? It is my understanding that dimension related to the measuring out of something. If there is some observable phenomena that we can measure by defining units of measure and counting the quantity of these units that there is an associated dimension which is not...

A new DIMENSION?? To Support the Theory of going into another dimension by traveling through a Black Hole. Since Scientists say you can go to another dimension through a Black Hole, why not you go to another dimension by just going pass a Black Hole?:confused:

Homework Statement Exercise 5.1.1 : Show that Eq (5.1.9( may be rewritten as an integral over E and a sum over the +/- index as U(t) = \sum_{a=\pm}\int^{\infty}_{0}|E,a><E,a|e^{-iEt/\hbar}dE You will find at...

Hey a friend linked me to this video: http://www.youtube.com/watch?v=2u4CFTZtcXE" which attempts to explain how the idea of a tenth dimension is feasible. I have had some trouble understanding some of the concepts which the movie attempts to explain and it made me think of many questions...

This may be a dumb question, but if the universe is expanding and time can be treated as just another dimension, does this mean that time is 'expanding'? And if so, what the heck does that mean?

How many bytes in DIMENSION?? - A Fortran Question I'm looking at some Fortran code. Some variables are of type dimension. How do I tell if these variables are integers or floating points numbers? How do I know if they are signed or unsigned? How do I tell the number of bytes occupied by...

Homework Statement I'm trying to understand why \ell_2^\infty as a vector space over \mathbb{C}, has uncountable dimension. Homework Equations The Attempt at a Solution Firstly, I'm not really clear on the meaning of basis in infinite dimensions. Is it still true that any element...

Homework Statement A football player, starting from rest at the line of scrimmage, accelerates along a straight line for a time of 3 seconds. Then during a negligible amount of time, he changes the magnitude of his acceleration to a value of 1.1 m/secondssquared. With this acceleration, he...

I am really having trouble solving this problem. Can someone help ASAP?? An airplane with a speed of 87.9 m/s is climbing upward at an angle of 59.8 ° with respect to the horizontal. When the plane's altitude is 652 m, the pilot releases a package. (a) Calculate the distance along the ground...

Two dimension relative morion help! Homework Statement After flying for 15 min in a wind blowing 42 km/h at an angle of 18° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air? Homework...

When I was studying physics in college I learned two contradictory ways to understand Einstein's theory of general relativity (GR). The most common way was to visualize our three-dimensional space as being distorted by mass. Anything with mass created a distortion in spacetime. Just as a...

1) True or False? If true, prove it. If false, prove that it is false or give a counterexample. 1a) If A is m x n, then A and (A^T)(A) have the same rank. 1b) Let A be m x n and X E R^n. If X E null [(A^T)(A)], then AX is in both col(A) and null(A^T). [I believe it's true that AX is in...

Ok, so I'm new to this message board and I'm only in 10th grade so please bere with me. So being from a small town I've decided to take on a big project and write a research paper on the Sixth Dimension. Here is my understanding of the dimensions so far: Zeroth Dimension= a point, consisting of...

Find the dimension of the subspace spanned by the vectors u, v, w in each of the following cases: i) u = (1,-1,2)^T v = (0,-1,1)^T w = (3,-2, 5)^T ii) u = (0,1,1)^T v = (1,0,1)^T w = (1,1,0)^T Right, how do I go about this, do I have to find the subspace first then do the dimension. Can...

Hi, I'm new here. I've loved all the qualitative aspects of physics for a while now and I'm just starting to get into some of the more quantitative aspects of physics, the actual math. I'm such a complete amateur at all this and I'm only in high school so please excuse my question if it seems...

What exactly is a "demension"? Correct my spelling if it's spelled wrong. Thanks

What would happen if we consider Energy as Dimension ? on other way can we consider Energy as Dimension ??

I am not sure if this is of any interest. http://www.newscientist.com/article/dn11410-mathematicians-finally-map-248dimension-structure.html Tools Enlarge image The E8 root system consists of 240 vectors in an eight-dimensional space. These vectors are the corners...

I have an idea that completely renivents the idea of the 4th dimension that has absolutely nothing to do with time. BUt however, it will be easier to first think about the lower dimensions. imagine a perfectly 2 dimensional universe which can be represented with a xy plane where -10 meters <...

I need some help to understand the concepts of span, basis, and dimension. 1-How do you determine if a set of vectors [in matrix form] span a region? -Do you set the given matrix set to arbitary numbers and see if there is a unique, infinite, or no solution? ie, set a 4X4...

Hello! Could you please check for errors in the following HW problems? Thank you! A. Homework Statement A rolling ball moves from x1=3.4 cm to x2=-4.2 cm during the time from t1=3.0 s to t2=6.1 s. What is the average velocity? Homework Equations and The Attempt at a Solution Average...

Homework Statement I have a homework question that I do not understand. I have searched everwhere for the answer. I think I did not find the answer because I am do not understnad waht the question is asking for. Some help would be greatly appreciated. The question is: What are the...

is a boost a rotation of a four vector? if the boost rotates an object more into the time dimension, ywo things happen: it's velocity increases. it's length contract in the direction of its motion. does this make sense? thanks!

http://sprott.physics.wisc.edu/pickover/fourth.html I just read this, and it makes no sense. In my opinion of the fourth dimension all that is written here is garbage. What do you get out of this? It is an introduction to a book.

I am working on a problem that goes "Show that for a wave packet propagating in one dimension, for a free particle Hamiltonian" m d<x^2>/dt = <xp> + <px> What I think I want to do. Use d<A>/dt = i/hbar * <[H,A]> Which leads me to d<x^2>/dt = i/hbar * <[H,x^2]> For the free...

My question is not so much what to do it is just i have problems solving for a certain equation. A 5.00kg ball, moving to the right at a velocity of 2m/s on a frictionless table, collides head-on with a stationary 7.50kg ball. Find the final velocities of the balls if the collision is (a)...