Mean Definition and 1000 Threads

what does K(q",q;T)=Ae(q",q;T/π mean? For I have been reading and I fell upon this equation. ( I am only 10 so could you make it clear for me?)

Homework Statement Let X_1, X_2... be a sequence of independent random variables with E(X_i)=\mu_i and (1/n)\sum(\mu_i)\rightarrow\mu Show that \overline{X}\rightarrow\mu in probability. Homework Equations NA The Attempt at a Solution I feel as if this shouldn't be too hard...

"...he who has mazed his imagination, in following the phantoms which other writers raise up before him, may here be cured of his delirious extasies, by reading human sentiments in human language" Heres the context. "This therefore is the praise of Shakespeare, that his drama is the mirrour...

Homework Statement Define the cesaro mean as σ=(1/n)(x1 +...+xn) Can it happen that xn >0 for all n, and limsup xn =∞, but limσ=0 Homework Equations The Attempt at a Solution I think I am supposed to construct a piecewise sequence, with ln(n), but I can't figure this out or the...

Hi, I'm trying to create a normal distribution with mean 0.5 and variance 0.05. I tried it initially with MATLAB, for which I used newdist=0.5+(randn(1,1000)*sqrt(0.05)); Could you please help me in doing this in FORTRAN 90? Would generating a sequence using RANDOM_NUMBER and using the...

Homework Statement 1.) (MVT) f(x) = 2x^3-6x^2-48x+4 on interval [4,9] By the Mean Value Theorem, we know there exists a c in the open interval (-4,9) such that f'( c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is __________ and larger...

I'm putting together a lab report and my result is off from the known value by 1.43 σ. According to the error function tables provided by my prof, and using the error function in my error analysis textbook, that gives me a probability of ~85%. I don't understand what this means though. Will...

hi... we know the unit of velocity is m/s2 and while calculating the mean square velocity we find the average(or mean) of the 'squares' of the given velocities. then the unit of MEAN SQUARE VELOCITY should be 'm2/s4' then how come its unit is also m/s2 and not m2/s4 ?

What does the word "prescriptive" mean, as used in 18th century? What does the word "prescriptive" mean, as used in 18th century? (if there is any difference from how its used today that is) the context is "The Poet, of whose works I have undertaken the revision, may now begin to assume the...

Homework Statement I have function f which is defined upon an interval [a,b]. I have calculated the mean value using the theorem \frac{1}{b-a} \int_{a}^b f(x) dx What I would like to do is to plot in Maple the mean value rectangle. Where the hight of this rectangle represents the mean value...

When looking at a Chemical, what does this mean... "99.9 atom % D" Hey, can someone explain to me what this means. Lets use D2o for example (Deuterium oxide) 1 store says "99.999 atom % D" And the other store simply says "DEUTERIUM OXIDE 100% D,99.96% " Can someone please shed some...

I was studying De Broglie Theory in which all bodies in movement have a de broglie wavelength associated with it. But what it means? The body's speed (Vb) is different from the wave-associated speed (Vw) Vw=λ f and Vb ≠λ f Which wave is that? Is it the wave emitted by the body as it is in...

Homework Statement So I'm doing a Least Squares Analysis and I'm wondering about what the 'measured mean value of y for replicate measurements of the unknown' value is supposed to be. I have no idea in the world what it's asking for. The value it is speaking of is not the same as the average...

I understand where is comes from and its effects on other things that have an electrostatic charge, but what does it mean to have a charge? Why do electrons repel other -ve (sub) atomic particles? It's really not something I find tangible. :)

Faraday says that a variation of magnetic flux generates an induced emf distributed by the material, which creates eddy currents. I want to know and understand what this "distributed" means. Do we have a constant potential difference between every 2 points of the object? (is this possible?)

Homework Statement Given: Standard Deviation = 500 Homework Equations How I calculate the μ (mean) using standard deviation for a norma distribution. Thanks. The Attempt at a Solution

I know what the Trigonometric functions are but I don't know what they mean. For example sinθ=opp/hyp, but It just seems like I am plugging in the sides to get random numbers. I JUST started learning Trigonometry, I am not that advanced in math, so can you please explain it in such a way...

Hi, I have an exam tomorrow for atmospheric chemistry and I was just going over some past papers. In one it asks the following question, "What is meant by "Mean Free Path"? How is this relevant to atmospheric chemistry. My answer was as follows "The mean free path is the average distance a...

I'm currently enrolled in a course covering semigroups (as an undergrad), and it's the first "abstract" math class I've taken so far. The assignment is to "Define a binary operation on \mathbb{N} which is associative but not commutative," as well as other variations of the...

Its from midsummer nights dream, act 5 scene 1. Quince is giving his perfomamnce as a lion, and he has just assured the audience that he isn't really a lion, he's just acting one out. So what i don't understand is the analogies that are used --fox, goose, valour, wisdom etc --- and how they all...

more than "two standard deviations away from its mean" Suppose we need to find the probability that a binomial random variable with n = 100 and p = 0.5 is more than two standard deviations away from its mean and then compare this to the upper bound given by Chebyshev's Theorem. What is...

I guess the title gives it all. I understand the concept on a basic level. What i don't understand is that how does it "fit" in physics and astronomy. Any and all opinions are appreciated. Thank you :) .

[b]1. Explain what the CPU will do in terms of functuality and configuration when executing the C source code below: unsigned char value = 0x91 1) BSR = 5; 2) BSRbits.3 = 1; 3) INTCONbitsTMR0IE = 1; 4) INTCON2bitsTMR0IP = 1; 5) TRISB = 0x00; 6) PORTB = 0x00; Please can...

Could someone explain the meaning of "Mean Squared Deviation"? Also, in <x1+x2+..xn> what is the meaning of the pointy brackets <..> ?

What do we mean when we say "1 kg of bananas"? Homework Statement If I buy 1 kg bananas in a supermarket on the moon, will I get the same amount (mass) of bananas as if I bought them on the earth? Homework Equations w=mg g moon = 1/6 g earth The Attempt at a Solution It depends on...

Homework Statement For every x in the interval [0,1] show that:j \frac{1}{4}x+1\leq\sqrt[3]{1+x}\leq\frac{1}{3}x+1 The Attempt at a Solution Well i subtracted 1 from all sides and divided by x and I got: \frac{1}{4}\leq\frac{\sqrt[3]{1+x}-1}{x}\leq\frac{1}{3} But now I need to find a...

What do we mean by 'Equivalent Projective representation"? I know that we say two representations R and R' of a group G is equivalent if there exists a unitary matrix U such that URU^(-1)=R'. But what do we mean by equivalent projective rerpesentations? I've heard of the theorem that the...

My question is does a degree from a higher ranked school give better job opportunities? Are employers more likely to higher people with a degree from a higher ranked school? So far I have completed one semester of college at SIUC. I am a mechanical engineer major. I like SIUC and have made...

hi if F is inner automorphism , what does this mean ? I think that if F : G to G then we can write F(x) as F(x) = g x g^(-1) for some fixed g in G and all x in G that means that F moves X to the conjgation x by g is this right ?

I choose a random number p_1 \in [0,1) and a subsequent series of (increasingly smaller) random numbers p_i \in [0, p_{i-1}). Then I can calculate the sum \sum_{i=1}^\infty p_i. Naturally, this sum is dependent on the random numbers chosen, so its particular result is not very insightful...

Is there a physical process in thermodynamics that results the value of the partition function as zero? When partition function is zero, then free energy becomes infinity, and it also yields negative entropy (at least within the system). Are there physical meanings of these?

Well...I couldn't fit my question properly in the title. Feel free to propose a way of asking it :biggrin: Please note, concentration will be ommited in order to make this topic easier. Now, as tongue-d humans we are, we can feel the saltiness of a salt solution. Not a big deal up to here. The...

"One corner short of a pentagon"...What does it mean? Ok I read this phrase somewhere and I have no idea what it means. Apparently it's a North American thing and is something related to someone's personality or stuff like that. Can anyone tell me what it is supposed to mean? Thanks

Homework Statement I am looking at finding the Fourier transform of: f(t)=\exp \left[ \frac{-(t-m)^2}{2 \sigma^2}\right] Homework Equations \hat{f}(t)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{\infty} f(t) e^{-i \omega t} dt The Attempt at a Solution I did it a little differently that my...

I'm looking at a condition in a maths paper that I don't understand, essentially it is: x ∈ R ⊕ R⊥ R is a set I think, but I'm not sure what the perpendicular symbol means. Also am I correct in thinking the circled plus means that x must be in either R or R⊥ (but not both)? Thanks

Homework Statement The proper mean lifetime of a \pi^{+} mesons is 26ns. (a) (i) What is the mean lifetime of \pi^{+} mesons traveling with \beta=\frac{v}{c}=0.73? (ii) What distance is traveled at this velocity during one mean lifetime? (iii) What distance would be traveled in the...

I have seen this word used in every context, is there a solid definition??

Hello all . My questions are : Space/time are any meaning without matter or energy ? Space/time are exist without matter or energy ? We can image space/time without any matter or energy ? These terms are any meaning in physics ?

Cosmic greetings, I am reading up on active galaxies, and 'strong' and 'broad' emission lines are mentioned everywhere, yet no definitions given. Do they mean that the object is emitting energy across a large part of the spectrum, or that it's emitting a lot of energy? Also, I am confused...

Does a di/dt<0 mean an increasing current moving from a lower potential to a higher potential (if we define the direction of current to be the flow of the positive charges)? Similar question with negative current i.e.; dq/dt<0.

Homework Statement 1) Let f be a function differentiable two times on the open interval I and a and b two numbers in I Prove that: \exists c\in]a,b[:\frac{f(b)-f(a)}{b-a}=f'(a)+\frac{b+a}{c}f''(c) 2) Let f be a function differentiable three times on the open interval I and a and b two...

Homework Statement The harmonic mean of the roots of the equation (5+\sqrt{2})x^2-(4+\sqrt{5})x+8+2\sqrt{5}=0 Homework Equations The Attempt at a Solution I know this question is easy but the main problem arises in finding the roots of the above equation. When I use the quadratic...

I have completed bending moment and shear force diagrams and have a question asking for the mean shear stress. I know this is worked out using the formula: tau = F/A. I am unsure of what force to use is it the max shear force on my diagram? My other thought is that it could be an avergae of...

Homework Statement Let f and g be two continuous functions on [a,b] and differentiable on ]a,b[ such that for every x in ]a,b[ : f'(x)<g'(x) Homework Equations Show that f(b)-f(a)<g(b)-g(a) The Attempt at a Solution So I said that there exists a c in ]a,b[ such that f'(c)=(f(b)-f(a))/(b-a)...

if A is a tridiagonal Matrix , what does this mean ? what does tridiagonal mean in matrix ? what is the property which A achieve to be tridiagonal ? what about " dense matrix " and " band matrix " ? what is the meanning in this words ?

does the r2s turbo , a 2 stage turbo and a twin turbo mean the same ...well my idea of a 2 stage turbo is that where compression of air takes place in 2 stages ..so does it consist of 2 compressors?

What does the "N" mean in a Cauchy sequence definition? Hi everyone, I have a question regarding Cauchy sequences. I am trying to teach myself real analysis and would appreciate any clarification anyone has regarding my question. I believe I have an intuitive understanding of what a Cauchy...

I'm reading an article about the photo induced ligand loss of metal carbonyl complexes at the moment and here's a bit I'm having trouble getting my head around: Its the wavepacket part that I'm confused about. All I know is that a wavepacket is what you get when you combine multiple sine...

Hi all, I have spent a good half hour searching for the meaning of this, but have only found results for upper-case sigma Ʃ and lower-case sigma σ. Can anyone tell me the meaning of the "word-final" version of sigma, which looks like ζ ? I am trying to evaluate 3ζ(4) but I just need a...

$a,b,c$ are any three positive numbers such that $a+b+c=1$. Prove that $$ab^2c^3 \leq \frac{1}{432}$$