Absolute Definition and 1000 Threads

I was just wondering what the absolute fastest laptop CPU that is currently available is, and could you link me to information about it?

1. I understand that it is impossible to say if something is absolutely stationary, for example wrt the universe, and that there is no such thing as absolute movement now 2. if you place a point source of light at the origin, “O”, of a Cartesian coordinate system. At t1 the point source of...

Homework Statement FIND THE ABSOLUTE MINIMUM AND ABSOLUTE MAXIMUM OF: f(x) = 9x + 1/x on the interval [1,3] Homework Equations The Attempt at a Solution I don't know how to get started!

i have read in some articles that when 0 Kelvin is achieved then particle movement within the cooled substance ceases. but my doubt is that einstein said that all objects have constant movement. this means that if the particles really stop then they will kind of stop in time because it is longer...

Homework Statement I previously left some absolute value questions which contained a few simple equations and equalities. i have a further question when it comes to slightly more complicated Absolute statements. Sketch the graph of y = 2|x-1| - 3|x+1| + 3x + 1 Homework Equations...

I'm stuck trying to prove a step inside a lemma from Serre; given is 0<a<b 0<x To prove: |\int_{a}^{b}e^{-tx}e^{-tiy}dt|\leq\int_{a}^{b}e^{-tx}dt I've tried using Cauchy-Schwartz for integrals, but this step is too big (using Mathematica, it lead to a contradiction); something...

When is it true that is |a|=|b|, then either a=b or a=b*, where a and b are complex numbers and b* is the complex conjugate of b?

hello. i can't figure out where I'm wrong. this is the problem: we have a cylinder, closed with a piston. the absolute pressure inside the cylinder is p0, atmospheric pressure is patm. the air inside expands isothermally to some (specific) volume vend. i derived the equation for...

Homework Statement Integrate using Cauchy Formula or Cauchy Theorem: I=\oint_{|z+1|=2}\frac{z^2}{4-z^2} dz (From Complex Variables, Stephen Fisher (2nd Edition), Exercise 2.3.3) Homework Equations \frac{1}{2\pi i}\oint_{\gamma} \frac{f(s)}{s-z} ds= \left\{ \begin{array}{lr}f(z) & : z \in...

Hi all, Lets say i have a battery with a rated voltage of 3V. This means that there is a potential difference of 3 V across the +ve and -ve ends of the battery. This can mean 3V/0V, 5V/2V, 6V/3V and the list of possible combinations goes on. My question: Is there any way of knowing the...

Ummm... never mind, we found it... Homework Statement Given Proxima Centauri with parallax angle of 0.769" and apparent bolometric magnitude of 11.1... what is its absolute magnitude?Homework Equations I get that I should use m-M = 5 log10(d/10 pc) and I understand that d = 1/p". What I...

Why are we finding it so difficult to reach absolute zero and if at all we are able to achieve it then what are the implications of such a feat? What relation does a bose einstein condensate have with absolute zero? (i know that we have achieved it but how does it happen as we lower temperatures)

Homework Statement Evaluate. lim |x+1| x-> -1 Homework Equations The Attempt at a Solution Not too sure what |x+1| means. I think it has something to do with an absolute value... would the answer be 2 then?

Hi all, I'm wondering about this question I can prove that if lim_{n->inf} (a) = L then lim_{n->inf}abs(a) = abs(L) however.. is the converse true? thx

F= q(v x B) B= v x q*k*d/r^2 It is a basic physics knowledge magnetic field forms around moving charge, it tell us magnetic field is zero when charge is not moving and strength of magnetic field increases as velocity increases, right? Magnetic potential vector field increases with "absolute...

In order to get an integral I need to find the difference between two functions, but I'm not sure how to deal with the absolute value... f(x) = \left|x-1-1\right| g(x) = x^2 + 2x g(x) - f(x) = (\left|x-1\right|-1) - (x^2 + 2x) =... I don't know if I can simplify it anymore... can I...

when i am exploring a function eg. f(x)=|2x-6| can i treat it as two separate function all the way through, one to the left of x=3 and one to the right, and only at the very end, when i draw the graph connect them, ie draw a graph according to all the values i found from each side? will this...

Homework Statement I do not see how the two equations in each example are related, what should I do with them? (the l's are absolute value brackets): a) Let g(x) = 3x - 3 + l x+5 l. Find all values of a which satisfy the equation: g(a) = 2a +8 b) Let h(x) = l x l - 3x...

Let z be the complex number: x+iy. Then |z|^2=x^2+y^2 according to my book. But according to the general definition of absolute value, |a|=(a^2)^.5. So letting z=a=x+iy. |z|^2=z^2=x^2+2ixy-y^2 This is not equal to x^2+y^2. I'm confused.

Is there the possibility of "absolute time" Is there a theory of absolute time that is compatible with General Relativity? (This question inspired by a thread on http://www.freeratio.org/showthread.php?p=5740883#post5740883".)

What is "absolute reference pressure and absolute reference temperature" I am doinf a test about compressed air flow rate. There is a parameter called absolute reference pressure and absolute reference temperature. Are they 1.01bar and 273+20K?

Hi all, I'm currently preparing for pre-tertiary mathematics, studying from Apostol's "One-Variable Calculus". I have just begun to work on the theory of integration of trigonometric functions, but I found that with the last set of exercises (on finding area between two functions, over some...

Homework Statement In my latest experiment, I have found two sets of data from the data processing. Normally, the values in the data sets should be equal, but they are not as a result of the error of the experiment. How can I do the error analysis? (Percentage Error, absolute error...)...

Homework Statement Find: Lim | x2+x-12 |-8 / (x-4) x --> 4 Homework Equations The Attempt at a Solution My answer is 9. It it right ? or there is not a limit for F(x) when x --> 4

So, from what I've heard, absolute zero is 0 Kelvin, lowest temperature possible, -273.15 C, etc etc. Is it possible to even reach it? Why or why not?

Homework Statement \sum_{n = 2}^{\infty} \frac{1}{n*ln(n)} I have to find whether the series absolute converge, conditionally converge or diverge?2. The attempt at a solution I used the ratio test. so, lim(n to infinity) [n*ln(n)]/[(n+1)*ln(n+1)] since ln (n+1) will be...

Homework Statement Find the absolute minimum and maximum values of f on the set D. f(x,y)= e-x2-y2(x2+2y2); D is the disk x2+y2 <= 4 Homework Equations Second Derivatives test, partial derivatives The Attempt at a Solution fx(x,y) = 0 = (e-x2-y2)(-2x) + (x2+2y2)(-2x...

Homework Statement \int^{8}_{0}\left|x^{2} - 6x + 3\right|dx This is for a single variable AP Calculus AB class in which we are solving using substitution method. 2. The attempt at a solution I attempted it by just ignoring the abs value bars thinking that anything I am finding out...

Homework Statement Test the series for (a) absolute convergence, and (b) conditional convergence. \sum\left(-1\right)^{k+1}\frac{k^{k}}{k!} Homework Equations The Attempt at a Solution So I tried taking the absolute value and then applying the ratio test, which, after...

Does anyone have the equation that the absolute roughness is expressed in terms of Manning coefficient, with the reference included? I have found one from Webber 1971. n = k1/6/26 where: n = applicable Manning roughness coefficient, k = absolute roughness (mm) Reference :Webber...

Given an ideally isolated volume of a single species of gas that has reached internal equilibrium , would the individual molecules : [A] Retain the range of individual velocities and thermal energies [if present] and keep a merely statistically constant average...

this is the question, Prove that if f is continuous on (a,b] and if |f| is bounded on [a,b] then f is integrable on [a,b]. (note: it is not assumed that f is continuous at a.) I know you have to use the upper and lower bounds to prove this statement but i don't know where to start...

this is the question, Prove that if f is continuous on (a,b] and if |f| is bounded on [a,b] then f is integrable on [a,b]. (note: it is not assumed that f is continuous at a.) I know you have to use the upper and lower bounds to prove this statement but i don't know where to start? Thanks

Hey everyone. Just getting prepped for a midterm on Tuesday and looking for a bit of help on a few things. If there are any tricks to make some of this stuff easier that would be great. I remember there being a few from back in high school, but i can't remember them. I know the process for all...

Say we have an absolute sphere ball which is consist of an fully filled with air which the ball cannot expand anymore, as further pumping air will cause the ball explode. As a few air inside is leaked, the ball will not shrink since its membrane is inelastic, hence causing the ball to become a...

Homework Statement Find the Local and absolute extrema of f(x) on the interval [-1,2] and give a sketch of the graph if: f(x) = [ 1 / (1 + |x|) ] + [ 1 / (1 + |x - 1|) ] I am confused about the absolute value parts. I know they're the versions inside the absolute value signs when...

Homework Statement Show that following statement is true: If Σa_n diverges, then Σ|a_n| diverges as well. Homework Equations Comparison Test: If 0 ≤ a_n ≤ b_n for all n ≥ 1, and if Σa_n diverges, then Σb_n diverges as well. The Attempt at a Solution I tried to prove the...

Homework Statement I need to derive an error equation from the following equation... \frac{e}{m} = \frac{2V}{B^{2}R^{2}}Homework Equations Just... basic... derivation rules...The Attempt at a Solution I did try, just don't know how to put the stupid attempt in LaTeX... I'm stuck at the "2V"...

Hi, I was wondering if a function is absolutely convergent over a certain interval, say, (0,\infty) will its indefinite integral also be absolutely convergent over the same interval? Also, assume that f(x) is convergent for (0,\infty). Would g(x) = \int{\int_{0}^{\infty}f(x)dx}dy &=&...

Homework Statement Find the absolute max and absolute min values of function on the given interval: f(t) = 2cos(t) + sin(2t), [0,pi/2] Homework Equations The Attempt at a Solution f '(t) = 0 0 = -2sin(t) + 2cos(2t) 2sin(t) = 2cos(2t) stuck...

1. Evaluate \int_{-1}^{3} \left|x^2 -4\right| dx 3. The Attempt at a Solution This is the first time I'm trying this type of question & I think I need to use the following theorem for such questions; f is integrable on a closed interval a to b. \int_{a}^{b}f(x)dx =...

Homework Statement Find a number in the closed interval [1/2, 3/2] such that the sum of the number and its reciprocal is (a)as small as possible (b) as large as possible I am given the answer in the back of the book The answer to a is 1 The answer to be is 1/2 Homework...

Hi, according to 3rd law of thermodynamics, absolute 0 can never be attained. But i really don't understand how was the exact value of absolute 0 calculated almost 100 years back? I think it comes from the thermodynamic relationships, but i don't understand how. Can anyone explain me the...

Homework Statement I reduced a much harder problem to the following: Prove that if abs(a-b) is divisible by k, and if abs(b-c) is divisible by k, then abs(a-c) is divisible by k. Homework Equations none really. The Attempt at a Solution I tried setting abs(a-b)/k = n and abs(b-c)/k = m...

I'm taking an algebra & triginometry class at my college and my professor is kind of slow and unclear. I think I'm a fast learner and a good understander which is why I came here to get this info down. We're up to complex fractions or radical equations right now I think, forgot which. Something...

Homework Statement lxl <2 lx+2l The question is asking to solve this Homework Equations The Attempt at a Solution Ive tried bringint the 2 over which leads me to l-x-4l over lx +2l < 0 but then the absolute value confuses the heck out of me on where to go...

Today in my physics class we got into a discussion about Absolute Zero and gravity. The argument was that if Absolute Zero was achieved, would it still be affected by gravity? Because gravity is a force and would make whatever that was at Absolute Zero move, but to have motion there would be...

Prove the following: if |a| \leq b then -b \leq a \leq b (where b \geq 0 ). So a \leq b and -a \leq b . Then -b \leq a so that -b \leq a \leq b . Suppose that -b \leq a \leq b . Then a \leq b and -a \leq b so that |a| \leq b . Is this a correct proof? You don't have to...

Homework Statement Rewrite the following expressions without absolute value signs, treating various cases separately where neccesary Homework Equations a-Abs[(a-(abs)a)] the question is do i have 2 answers to this ?

Homework Statement Consider the function f:R^2->R defined by f(x,y)=[e^(x+y)]-y+x. Is there an absolute maximum value of f on the set s={(x,y):/x/+/y/<=2}? Justify. note, /x/ is the absolute value of x. Homework Equations a. If f is con't, it takes compact sets to compact sets...