Dimension Definition and 881 Threads

Does a dimention other than the third dimention possibly eixist? For some thing to exist doesn't it need thickness width and length?.People say time is the 4^th dimention is there any kind of proff for it:confused: .

i came across this article that says time is considered the 4 dimension(i think) and check up on wikipedia but doesn't know what they are talking about.so does anyone know where i can read up on this or better explain to me? :rolleyes:

I'm having trouble understanding bases outside of R^n; I've got a handle on those I think. Here are some examples: 13. In C(-Pi,Pi), find the dimension of the subspace spanned by 1, cos(2x), and cos^2(x). 14. Find the dimension of the subspace of P3 spanned by x, x-1 , x^2+1, x^2-1...

A few problems on "MOTION IN ONE DIMENSION" INTRODUCTION: Here are a problem on "Motion in one-dimension". THE PROBLEMS: (1) "Car A is just behind Car B.Both are 5m long.The velocity of A is 15 m/s while that of B is 10 m/s. Find the road distnace covered by Car A to cross Car B." WHAT MY...

Hi, I like to research the possibility to build an electromagnet that is quit big and has a lot of strength. As I really don't know much about magnetism, I don't see how to start with this. Anyone that please can help me with some formulas? I like to make a sort of excel or MATLAB...

Hello, I am a tenth-grader physics student, and I have a mechanics-realted problem you may think is quite trivial, but I have been unsuccessfully trying to solve it for a whole day, so I would thank you if you answered. Please consider the attached graph; the question relates to it: Two...

When someone says their transistors are a "90nm process" (or similar) I always assumed they meant the minimum gate length their fabrication process could produce. But then while reading this: http://www.intel.com/technology/silicon/65nm_technology.htm I saw this: "Intel's 65nm...

I have heard of such idea: A sphere of fractional dimension 0<s<1 is understood as a probability sphere with probability s to have an electron at a certain position for example the volume of the sphere S^{n-1} in \Re^n has volume Vol(S^{n-1})= (2\Pi^{n/2})/(\Gamma(n/2) and we can...

Hi, having trouble with the following problem: A stone is thrown vertically upward from a bridge 30.0m high at an initial velocity of 15.0 m/s . How long will it take for the stone to hit water? I set it up first by writing my givens down: initial velocity = 15.0 m/s. distance (x)...

As known,we can use 3 basic dimensions to represent other dimensions,but how to represent I with L,M,T?

A thought has been bother me for a while. Is the universe expanding in the time dimension? Let me explain. The future does not exist yet, the future is a concept, an artifact of the human mind. The past (from the time perspective) don't exist anymore, yet we can see the evidence of its passage...

V is the vector plane of all hermetic matrix in order of 2x2. what is the dimension of V?

The driver of a car wishes to pass a truck that is traveling at a constant speed of 19.0 m/s. Initially, the car is also traveling at a speed 19.0 m/s and its front bumper is a distance 23.7 m behind the truck's rear bumper. The car begins accelerating at a constant acceleration 0.550 m/s^2...

Find the cardinality and dimension of the vector space \mathbb{Z}^{3}_{7} over \mathbb{Z}_{7}. \mathbb{Z}^{3}_{7} = \{ (a,b,c) \; | \; a,b,c \in \mathbb{Z}_{7} \}. Then since \mathbb{Z}_{7} is a field 1 \cdot a = a \; \forall \; a, so B = \{ (1,0,0), (0,1,0) , (0,0,1) \} is a basis of...

An indestructible bullet 2.00 cm long is fired straight through a board that is 10.0 cm thick. The bullet strikes the board with a speed of 420 m/s and emerges with a speed of 280 m/s. (To simplify, assume that the bullet accelerates only while the front tip is in contact with the wood.) the...

I just do not understand why it is so essential for time to be a dimension. I'm by no means a specialist in this field, and I don't really know the core workings of relativity, but why is it that time must be, or at least is almost always referred to as a dimension? The only way I seem to be...

Just what the title says. In the book Spacetime Physics, by Taylor and Wheeler, the time coordinate is measured in metres of light-travel time, but that's just a roundabout way of saying that they are using the second...or am I missing the point. :blushing:

does that mean that the past and the future exist somewhere? It makes it seem like everything we're experiencing is one big solid object in some higher dimension we can't visualize, naturally, just as an ever widening and then shrinking disk seen by a two dimensional person is really a 3...

Find a basis and calculate the dimension of the following subspaces of R4 U = [a b c d] | a+b=c+d in R now a basis is supposed to be linear independant but that conditon on a,b,c,d makes this a bit strange can i just say d = a+b - c and then pick a basis as (1,0,0,1),(0,1,0,1),(0,0,1,-1)...

Hi. How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3. Also, I know there is a number of different ways to define...

Hey Everyone, I have this question on my assignment that's confusing me, I think I have the logic right, but for some reason I am getting the wrong answer.. Anyways the question states: If S is the subspace of M5 (R) consisting of all matrices with trace 0, then dim(S) = ? Now, I know...

There are these questions in the book that ask us to find the Dimension of a particular space. Do I just find a basis for the space, and then the number of elements in that basis is the dimension for the space? Or is there some trick to finding the dimension? Thanks!----------- For example...

I remember when I was in school my professor mathematically shrank a cube to a point and when he did so it was a sphere. So I was wondering does this mean that a sphere is the best way to think 3-D. Then I also wondered what would a square shrink to, I would guess a circle but I do not...

Hey, I have not taken any string theory courses yet, but I had heard that String theory says there are probably 8? dimensions. I was wondering what the other 4 dimensions are and how they would be described. I know of: 0d - Spatial Dimension (a dot) 1d - Spatial Dimension (Can be viewed as...

How far does a photon move in the time dimension when it travels for one second? How far does a photon move in the spatial dimension when it travels for one second? How far does a golf ball move in the time dimension when it stays stationary on a tee for one seceon? How far does a golf ball...

It is possible that the "big bang," should it ever have occurred, was actually a bubble from a greater dimension, pinched off. It has been postulated that as matter is gathered into a black hole, it condenses and forms what could be equated to a water droplet in space-time. When that drop...

i'm currently reading Hyperspace by michio kaku and it says that there are 10 dimensions in superstring theory, what are each of the dimensions?

Hi there, i need help in a couple of questions that I'm just stumped one of them : A) use induction to show that [ x (hat)^n, p(hat) sub "x" ] = i (hbar)n x(hat)^(n-1) - so far I've figured out this equation is in relation to solve the above eq, but I'm not entirely sure how to connect the...

The set W={(a, 2a, b, 0)| a, b eR} is a subspace of R^4. Find a basis for W and find dimW

Hi, I'm wondering how I would decide how many "subspaces of each dimension Z_2^3 has." The answer is: 1 subspace with dim = 0, 7 with dim = 1, 7 with dim = 2, 1 with dim = 3. I'm looking for subsets of Z_2^3 which are closed under addition and scalar multiplication. An arbitrary vector in...

I'm just curious to see what other people in this group have to say about this theory I have. I used to think that time was the fourth dimension. It seemed pretty logical due to the way dimensions are built up. The zero dimension is a point, the first dimension is an infinite number of...

I need to create a lab today for a quarterly but I don't have time to acctually experiment, what is something I could easily BS and get a good grade?

Author: Dr. Donald Luttermoser of East Tennessee State University III. Motion in One Dimension A. Displacement. 1. The displacement of an object is defined as the change in its position. 2. It is given by the difference between its final and initial coordinates:
x  xf − xi = displacement...

The functions e^x and e^2x I have to find the dimension of the vector subspace spanned by this set. Im not sure where to start, I do know how to solve other problems asking the same question just different function. Any help would be greatly appreciated. thanks a.p

A Motorboat Going Downstream Overcame A Raft At Point 'a' . 60 Minutes Later It Turned Back And After Some Time Passed The Raft At A Distance 6 Kilometer From Point 'a'.find The Flow Velocity Assuming The Duty Of Engine To Be Constant

5. Sue is watching Hugh 7.2 meters below her when she sees him throw a ball up to hit her. She pulls in her head, but Hugh purposely threw the ball hard enough to hit her on his way down 1 second after it passes her on the way up. Explain how hugh figured this out... I used a sort of system...

PLEASE SOLVE THIS WITHOUT USING THE CALCULUS a man starts walking from a point P. after t seconds another man starts from the same point. they reach the nearer end af a bridge such that the time interval between them is T seconds. the length of the bridge is L meters. they reach the other...

A Motorboat Going Downstream Overcame A Raft At Point 'a' . 60 Minutes Later It Turned Back And After Some Time Passed The Raft At A Distance 6 Kilometer From Point 'a'.find The Flow Velocity Assuming The Duty Of Engine To Be Constant

Hi, Can someone help me with this: What is the shortest distance between the two lines: L1: r= (1,0,0) +t( 2,3,4) L2 u= (2,1,0) +s(1,2,0) Thank you very much for your help B

You are driving your new sports car at a velocity of 90km/hr, when you suddenly see a dog step into the road 50m ahead. You hit the brakes hard to get maximum deceleration of 7.5m/s^2. How far will you go before stopping? Can you avoid hitting the dog? I got 540m, which I know is wrong. V=0...

What dimension between space-time and 11 Dimensions is allocated to the complex plane 'visualized' and used in complex number theory? Complex numbers are used in every branch of maths and physics, based on an imaginary complex plane, z = x +iy where y is an imaginary axis and i^2=-1. - It's...

:confused: :confused: Help! I need to know how to work this problem! A motorcyclist moving with an initial velocity of 8.0 m/s undergoes a constant acceleration for 3.0s, at which time his velocity is 17.0 m/s. What is the acceleration, and how far does he travel in the 3.0 s interval?

Hi, I have a problem about dimension matchig. the dimensional relation between the period τ , the pendul length l, and the acceleration of the gravity g takes the form: [ τ ]=[l^r] [g^s] Use the fact that the dimendion of τ is [T], that of l is [L], and that of g is [L/T^2] to...

lets consider a sphere and let there be a two dimensional man and for him he is living on a two dimensional place.we r observing it from third dimension. now this two dimensional man be fred. one day fred decides to make a circle using a rope.now start imagining he is on a sphere and he tkaes...

Is ten minute for an observer in different dimension, with the same speed relatively, same for every observer?

1. Can you think of physical phenomena involving the Earth in which the Earth cannot be treated as a particle? I would say the rotation of the earth. Would there be anything else? A particle is something in which rotational and vibrational considerations are disregarded. What would be a...

The problem is stated as follows: A typical automobile has a maximum deceleration of about 7m/s^2; the typical reaction time to engage the brakes is 0.50 s. A school board sets the speed limit in a school zone to meet the condition that all cars should be able to stop in a distance of 4...

yes I have read the wikipedia definition and followed my nose around to see how it gets interpreted in various models and theories but it doesn't say why it is that when 3 come together it forms a sphere and creates an instant of time ? how can one dimension exist independently of others and...

Help Me...Relative Motion In One Dimension. What Is the relative motion in one dimention? Drive the Acceleration equation.

An electron with initial velocity v_{x}_{o} = 1.0 \times 10^{4} meters/sec enters a region where it is electrically accelerated. It emerges with a velocity v_{x} = 4.0 \times 10^{6} meters/sec. What was its acceleration, assumed constant? The accelerated region is 1 cm. So acceleration is...