Absolute Definition and 1000 Threads

Absolute Zero, about -273.15ºC, is the coldest known temperature possible, where matter it's self, stops moving, and energy can't build up. But, could there be...say, an absolute ∞? Or like...and Absolute energy? Could these be physically possible, and where would these things be found. What...

Homework Statement Prove that, if f is continuous on [a,b] and ∫ab= l f(x) l dx = zero then f(x) = 0 for all x in [a ,b]. Homework Equations Hint- from book- Section 2.4 Exercise 50 Let f and g be continuous at c. Prove that if: (a) f(c) > o, then there exists delta > o such...

Homework Statement Let p>0. What is the derivative of |x|^{p}? Homework Equations The Attempt at a SolutionI know that if p is even, then the derivative is just px^{p-1} . But what if x is odd? Would it turn out to be some piecewise function, such as px^{p-1},\: if x \geq 0 and -px^{p-1}...

Determine the absolute uncertainty of the prism's volume. The uncertainty of each measurement is +/- 0.5mm. The length of the prism is 142mm, width is 86mm and the height is 151mm. Thank you!

Homework Statement We are given that the reaction time for pressing the stopwatch is 0.2 s (we are measuring 15 swings, t15 = 30.45 s) and we need to determine the absolute error in one swing. The Attempt at a Solution My question here is whether the absolute error for those swings is then 2 x...

According to theory of relativity there is no absolute standard of rest. Now, if Alice and Bob are two observers floating in space, so that Alice thinks that she is at rest and Bob is moving away from her at a speed comparable to that of light and Bob thinks that he is at rest and Alice is...

Homework Statement If \suman2 and \sumbn2 converge show that \sumanbn is absolutely convergent Homework Equations The Attempt at a Solution I think I should do something with the statement 2ab\leq a^2 + b^2

I understand MAD, but I cannot figure out this question. Here's the information. Daily high temperatures in St. Louis for the last week were as follows: 92, 91, 94, 95, 96, 88,90. The mean absolute deviation based on a 2-day moving average = 3.20 How in the world is it 3.20? I've tried...

Hi everybody, I would like to begin with apologizing for anything stupid I might say or ask because I am not a qualified physicist. I'd like some minutes of your time because i have a question that's been on my mind far too long and i would really like some help with this. Am I correct when I...

When it is said that the universe is, for example, 9 billion years old, is it the same everywhere else in the universe? Do the distant quasars that we see know that they are the same age as we figure they are? And what defines the “edge” of our universe. The most distance object that we can...

Alright, I'm completely confused. I was given a study guide for my Algebra 2 exam(this isn't homework...) and one of the questions was 2|3x+5| < 16 I've seen the absolute value, but never seen a number in front of it...How do I solve this ?

i am in the 9nth grade and i am intrigued by the idea of Absolute zero and the phenomenas, my question is what will happen if we reach absolute zero? i know that molecules slow down until they stop, but i don't understand one thing, what is keeping the atoms together, isn't it energy. is there...

Here is my question, starting from a suggested experiment that reminds a known example that Einstein gave about special relativity including a moving train, two mirrors inside the train and a light beam reflected between the mirrors (this suggested thought experiment described here only reminds...

i am not exactly sure what happens when the temperature almost reaches absolute zero how things react to this drop and what are boson ( sorry for spelling errors)

Homework Statement show that if f is increasing on [a, b], then f is absolutely continuous if and only if for each \epsilon > 0 there is a \delta > 0 such that for each measurable subset E of [a, b], m*(f(E)) < \epsilon if m(E) < \delta. Homework Equations The Attempt at a Solution

I never really understood why using the Root Mean Square of negative data is the preferred method of finding the average of the data as opposed to taking the absolute value of the data and taking the average (arithmetic mean) of that. The example that recently made me wonder about this is...

Hi all. For a project I am doing, I need to find a motor with an encoder that we can use to detect the exact angular position of the shaft at any given point in time. I'd like to see if there is any motor out there with absolute feedback from the encoder - i.e., that I would be able to read...

Homework Statement A constant-volume gas thermometer is cal- ibrated in dry ice (which is carbon dioxide in the solid state and has a temperature of −80◦C) and in boiling ethyl alcohol (78◦C). The two pressures are 1 atm and 1.542 atm. What value of absolute zero does the cali- bration...

Homework Statement find all values of p in R for which the given series converges absolutely. \displaystyle\sum\limits_{k=2}^{\infty} \frac{1}{klog^pk} Homework Equations Ratio Test Or Root TestThe Attempt at a Solution So I tried using the ratio test and get: \mathop {\lim }\limits_{k \to...

Homework Statement Find the absolute maximum and the absolute minimum of the function, f(x,y) = x^2 + 2xy - y^2 on the region bounded by, x = \sqrt{1-y^2},y=x \text{ and } y=0 Homework Equations The Attempt at a Solution See figure attached for my attempt. Everything...

The below text is not a result of coherent thought. It consists of random pieces. I'm sure you would be able to connect them. If there is absolute religious system, then it's won't too much exaggeration to say that I live in a far too religious atmosphere where almost every individual takes...

Homework Statement Find the maximum value of the function f(x, y) = x^{2} - y^{2} + x considering only points inside and on the boundary of the region bounded by the curve, x = \sqrt{1-y^{2}}, x=0 Homework Equations The Attempt at a Solution See figure attached for my attempt...

Homework Statement Find the maximum value of the function f(x, y) = xy(3 − x − 2y) on the triangle R bounded by the positive x- and y-axes and the line x+y = 1. Assume that f(x, y) has no critical points in the interior of R. Homework Equations The Attempt at a Solution See...

Is the uncertainty principle enough to prove that absolute zero is unachievable? i.e. a particle can't be said to have exactly zero energy, because it can't be said to have exactly any amount of energy.

Two rays of light of wavelength 650 nm and 420 nm are normally incident on a different grating. If the grating has 5000 slits/cm, what is the angular separation of of the two light rays' second order maximum. -Need to find the absolute value of theta 650-theta 420 I know I need to use...

Alright, Could you use magnets to slow matter down enough to reach "near" absolute zero? Heres how it would work. You would have a range of magnets in a chamber, and you would inject the chamber with protons. The magnets are comeing from all directions forcing the proton to stay still. Then...

Homework Statement My brain hasn't been working lately so if you see something weird in my proof pardon me and advice me against it. So the problem states: Show that an even degree polynomial has either an absolute max or min.Homework Equations The Attempt at a Solution Let f(x) be an even...

Show that the kinectic energy of a three-dimensional fermi gas of N free electrons at absolute zero is (Mathematica code used) u = 3/5 N Subscript[\[Epsilon], F] Now I know total energy of N particles is this integral u = \!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\)...

Hey. I have | tn - t | < M How can i show that t - M < tn thanks

I hear how people create superconductors by taking a metal and freezing it to Absolute Zero(0 Kelvin). What are some methods to get this sort of tempuature? Can anyone help?

If so, how did they become absolute to all mankind across cultures and terriotories?

I am having some issues with going about finding the max and min of trig functions over a set interval. Normally with finding the max and min of a function over an interval the first thing that I do is find the derivative of that function, Then i set the derivative to 0 and solve to find the...

Homework Statement i did it on paint and print screened to make it more clear what i did :) I am getting, as shown above, 0 for abs max and -15 for absolute min. But it wants -48 for abs min and i have no idea how to get that >:(

I have a problem in understanding the procedures of a solved example. It goes like this. \left ( \frac{z+i}{z-i} \right )^4 = -1 Therefor we can write: \left | \frac{z+i}{z-i} \right | = 1 From that we can see that z is a real number because: \left | z+i \right | = \left | z-i...

Hello colleagues, I have a seminar that i need to turn in a weeks day from now. My professor listed the following questions, guidelines that I should lean on: 1) Is it possible to achieve a temperature bellow absolute zero (-273,15) 2) An ideal gas contracts linearly when decreasing...

Hello there. I'm having some problems with absolute values when they contain multiple "abs" operators and some other numbers outside the "abs"-es. For example: \left | x+2 \right | - \left | x \right | > 1 If i check it for the positive scenario, the result is true for all x-es. x+2...

Homework Statement Given function f(x,y) = 3x2 - 2xy + 2y a) find the critical point(s) of f, b) sketch the region R: the triangular region in the xy-plane with vertices (0,0) (0,6) and (3,6) c) find the absolute maximum and absolute minimum of f over R Homework Equations The Attempt at a...

Homework Statement -F is a continuous function on [0,1], so let ||f|| be the maximum value of |f| on [0,1] a. Prove that for any number c we have ||cf|| = |c|\ast||f|| b. Prove that ||f + g|| \leq ||f|| + ||g||. c. Prove that ||h - f|| \leq ||h - g|| + ||g - f|| Homework Equations Based...

Are lx3l or lxl3 polynomials? If not, what would be a good example of a cubic polynomial function (R \rightarrow R) that doesn't cover all real numbers in its codomain?

Homework Statement Draw |z| on a complex plane, where z = -3+4i Homework Equations N/A The Attempt at a Solution [PLAIN]http://img530.imageshack.us/img530/1786/aaakr.jpg Can anyone please tell me which answer is correct? Both of them have a moduli of 5. So should the circle...

Homework Statement prove |arctan(x)-arctan(y)| \leq |x-y| The Attempt at a Solution I tried separating cases: 1. both x and y are in the same quadrant; 2. x and y are not in the same quadrant; 3. x and y are zero (trivial); 4. either x or y is zero. Now, i can see why each of these is...

how do you go about solving abs value inequalities with double variables when the abs value bars are on both the variables? eg; |x| + or - |y| =, >, <, a

Homework Statement prove that llal-lbll\leqla-bl Homework Equations Triangle inequality lx+yl\leqlxl+lyl The Attempt at a Solution Let a=(a-b)+b By using the triangle inequality we get lal-lbl\leqla-bl Then from here I am not sure what I can do. I would like to say on the left...

According to special relativity acceleration is an absolute motion, so according to what is it moving?

Homework Statement Then find the area S of the region. (between the curves) Homework Equations A = \int_a^b f(x)-g(x) dxThe Attempt at a Solution First I plotted both equations, determined the top and the bottom functions and found where they intersected (calculator). Then I set up the...

Homework Statement Calculate the following, expressing all results with uncertainties both in absolute and relative (percentage) form: a) A + B b) A x B c) Asin(theta) d) A^2 / Bcos(theta) The relevant formula for the absolute uncertainty is below, but i have no idea how to...

My calc book rewrites this equation: |y|=e^c|x| As this: y=\pm e^cx But that doesn't really make any sense to me. I know I should understand why we're allowed to do that, but I don't. Could someone please try to explain it to me? I really appreciate your help, thanks!

As Stephen Colbert pointed out http://news.yahoo.com/s/time/08599202066700 Amendment XIV http://en.wikipedia.org/wiki/Fourteenth_Amendment_to_the_United_States_Constitution Emphasis mine. Yet Scalia voted for corporate personhood. Frankly, I don't know what to say. How did this...

If time requires movement in space time in order for change and hence time to occur then how does absolute zero in temperature effect time since no molecular or atomic movement is possible at such temperature? Does vibration constitute movement that can affect time in relativistic terms? Is it...

Homework Statement l [3/(x-1)] - 5l < 4Homework Equations The Attempt at a Solution My 1st step was to make the inequality like this. -4 < 3/(x-1) - 5 < 4 and then i multiplied (x-1) to both left and right side and as well as to the 5. but in the end, my result turns out to be...