Natural Definition and 1000 Threads

Well, similair to the reasons behind gravity as in theory of relativity, i would like to know the reasons behind electro magnetism. i would also like to know how exactly the strong force holds hardons toghether and produces atomic stability in varying spaces. Also, why and how is the strong...

What expression should be used to calculate Nusselt number for free convection (of air) in a vertical channel with walls at different temperatures? I have the Bar-Cohen and Rohsenow equations, but I am unsure which situation this corresponds to (and thus which constants to use). Symmetric...

can anyone give solution to this quation x^2+y^2+z^2=nxyz n is natural

What gives rise to natural frequency? Resonance is when an oscillating force has a frequency that matches the natural frequency of a system... but what gives rise to the natural frequency of the system?

Hi.. I have a question about natural fvibration. Every object has natural frequency and modes of vibration. Let us consider a simple cantilever beam for our discussion. and Let's say its first 4 modes of vibration are at 3, 6, 10 and 20 kHz respectively. (I made up these frequency values)...

I just watched some pbs program about the universe, and the conclusion was that existence is no accident, its the universe working for billions of years... seriously? you just wasted 1hr of my time to tell me something a little kid couldve told me in 10secs..? Im no scientist... but i can...

As a CO2-global warming denier (GWD), how nuclear power generation compare to natural gas and oil carbon fuels, in start up costs, long term costs, pollution, operating costs? Is there any reason natural gas and oil fossil fuels can not meet projected energy needs, besides the allegation of...

Hey all. I'm having some problems with the partial derivatives of e. I understand the basics such as exy2. where I'm getting confused is with the following dz/dx=e(x+y) and dz/dx=1/ex+ey Can anyone help me out with understanding these??

In How many ways can one write a natural number M as a sum of N whole numbers? Consider the two conditions; 1)the numbers appearing in the sum are distinct. 2)the numbers appearing in the sum are not necessary distinct. eg1:eight can be written as a sum of 6 whole numbers as shown below...

If someone dies in a hospital a member of medical staff tries to brings their heart back to life, sometimes this works. Why if someone dies of nateral causes can't their heart be braught back to life after a while?

1. I was trying to understand the proof of (d/dx) b^x = (ln b)*(b^x) it says: b= e^(ln b) so, b^x= e^((ln b)*x)) So now we use the chain rule: (d/dx) b^x = (d/dx) e^((ln b)*x)) I understand everything so far, but not the next step. It says then that (d/dx) e^((ln b)*x))= (ln...

Homework Statement The portion of a piano string between the bridge and upper end of the finger board is 0.50 meters long. The string when plucked sounds a note of 440Hz- the first harmonic. a. where must the violinist put a finder to pay a C note- 528Hz b Without returning, is it possible...

I encountered a proof problem when I was reading up on the derivatives of natural logarithms' section. It gave a rule which said this : \text{For } a >0 \text{ and } a\ne 1 \text{,}\\\frac{d}{dx}(a^{u}) \ = \ a^{u} \ \ln{a\frac{du}{dx}} To prove it on my own, I made a few identities: a^{u}=y...

Homework Statement We're doing a lab and we basically had to find ln(Pv), where Pv is vapor pressure of isopropanol. Well, the pressure is initially measured in kPa, but what happens to the units if you take a natural log of that whole thing? For example, if I take ln(5 kPa), do the units...

Integrating Natural Log Function using "Integration by Parts" Method Homework Statement The problem says to integrate ln(2x+1)dx Homework Equations I used u=ln(2x+1); du = 2dx/(2x+1); dv=dx; v=x The Attempt at a Solution So, I integrated it using that (above) 'dictionary' and I...

I'm watching a show about reintroducing bison to the great plains, because man killed most of them off. In the same breath they talk about how indians would burn the plains to attact bison to the new growth and that's why there were so many of them. Who decides which is the natural order? I'm...

Homework Statement F(x) = (8-12ln|x|)/(x^4) > 0 (a) For what values of x is the expression F(x) defined? Write your answer in interval notation. (b) At what value(s) of x is the expression F(x) equal to zero? If there is more than one answer separate them by commas. (c) The set of...

I don't know if this is more appropriate for the topology forum, but I am learning this in analysis. I am asked to say whether or not Q and N are homeomorphic to each other and to justify why. I am confused as to how to prove precisely that two spaces are homeomorphic, for there are no formal...

Homework Statement A 950kg sports car (including driver) crosses the rounded top of a hill (radius = 86.0m) at 10.0m/s. Homework Equations A. Determine the normal force exerted by the road on the car. B. Determine the normal force exerted by the car on the 73.0kg driver. C. Determine the car...

Homework Statement \int\frac{dx}{x(1+ln x)} Homework Equations Partial Fractions? Maybe I am solving this wrong... The Attempt at a Solution \frac{A}{X} + \frac{B}{1+ln x} = 1 A(1+lnx) + Bx =1 A + Alnx + Bx =1 This doesn't seem to work out properly. I have been having a...

Hi, I was wondering if anyone could find a solution to this: d^2-ab=e^2-bc=f^2-ac in the natural numbers where not all variables are equal. I don't know how to make a computer program, but if it takes little time, I would really appreciate if I could have a solution to it.

Integrate the function. (3x)/(3x-2) I am spose to use integration by parts but i don't know how to integrate 1/(3x-2). anybody help??

f(x) = ln (12x-5/9x-2) f'(x) = (4/3) (1/ln10)(9x-2/12x-5) Is this correct??

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Homework Statement I am trying to anti-differentiate (3t+2e^t)*[e^(-3t/2)] Homework Equations The Attempt at a Solution I have simplified this into several forms, including [3t(e^(-3t/2)+2e^(-t/2)] . This form may or may not be accurate, but I am pretty sure that the form given...

I hit the submit instead of the preview. please wait Homework Statement \int9s9^s dsHomework Equations ∫udv=uv-∫9^sds-∫vduThe Attempt at a Solution u=9s du=9ds dv=9^s ds v=∫9^sds =∫3^(2s) ds =3^(2s)/[2ln(3)] this is as far as i have gotten. Am i correct so far?

how the heck do you simplify this ? (Ln (2x/y) / Ln (x/y)) = m/n HELP ME!

A nice puzzle I just found (hope it hasn't been posted before): For which natural numbers n does the expression \sqrt {30 + \sqrt n} \ \ + \ \ \sqrt {30 - \sqrt n} yield also a natural number?

Hello, I was given a problem dealing with derivatives and compositions of g and f. The problem is, when I go to find the derivative at a certain point, it involves natural logs. I can only get so far when I can no longer get 'h' out of the equation! f(x)=ln(x) for all x>0 g(x)=(x^2)-4...

The human leg can be compared to a physical pendulum, with a "natural" swinging period at which walking is easiest. Consider the leg as two rods joined rigidly together at the knee; the axis for the leg is the hip joint. The length of each rod is about the same, 54 cm. The upper rod has a mass...

Given two left adjoints F,H:\mathcal{C}\to\mathcal{D} of a functor G:\mathcal{D}\to\mathcal{C}, how do we show that F and H are naturally isomorphic? This is my idea so far (I am working with the Hom-set defenition of adjunction): We need to construct a natural isomorphism \alpha. So, for...

I am starting my first year of college and I reviewing my high school notes from trig pre-cal and there was one thing I couldn't figure out. It was a multiple choice question and I don't have the textbook anymore but the answer I circled I can't understand how I arrived to that answer...

Hi there. First off, nice to meet you! This is indeed my first post and I look forward to getting to know you all. I came to you with the gravest of burdens on my mind so let's jump right in, shall we? We have a lot to cover! This September I am starting my Honours Mathematics program at...

Homework Statement sqrt(ln(x)) = ln(sqrt(x)) Homework Equations The Attempt at a Solution I've been trying to do this for some time now. Could anyone give some tips on how to get started with this?

Calcule: ln\frac{273}{263}

The rise and fall of evidence-based natural philosophy. The way we think of the external physical world — natural philosophy -- has in the past often been coloured by anthro’centric prejudice and personal egotism. This perspective has gradually been eclipsed by the secular ideal of...

Why does e ^ (lnx) = x? where ln is log base e. Why is the integral of 1/x ln(x) and not log(x) ie log base 10 x? Is there some good information somewhere explainined this please? Cheers

"Today in talking to the gas company - I was told they are thinking the price of Natural Gas may reach $3.00 a therm by this winter. The current price is $1.45 a therm, on my last bill it was $1.24. Remember a winter ago people where upset at $1.10 a therm. That means bills that may...

Hi, i was wondering today whether or not natural vacuums existed inside of evey cluster of matters that may or may not have an atmosphere. for example, can we say that the space in between protons, neutron, and the electrons in an atom of iron is so small that almost no matter can "fill" the...

Misleading commmercials : The recurring "natural flavors " theme The other day I was at Taco Bell and noticed their ad for the Fruitista beverage made of "natural flavors". One thing to note about "natural flavors" is that it is not the same thing as real fruit juice and thus there is no real...

Hi all, I am new to the forum and am despreate for the solution for my current task. I am given a canteliver beam with the dimention: L =1250mm W= 75mm D= 30mm E=200 Gpa density = 7800kg/m^3 poison ratio=0.3 and I optained the first five natural frequencies from COSMOSWorks 2007...

i have a problem please help http://img373.imageshack.us/img373/3052/index1bd9.gif Who can solve this for me?!

Homework Statement Solve ln(2x+1)=2-ln(x) for x. Homework Equations The Attempt at a Solution e^(ln(2x+1)) = e^((2-ln(x)) 2x + 1 = e^(2/x) 2x^2 + x = e^2 2x^2+x-e^2 = 0 At this point, I know you're supposed to use the quadratic equation. But, my problem is with how...

The way I am being taught in my course is that instead of !s_1= 1/2, m_1 =1/2 ; s_2= 1/2, m_2 =1/2 > = !+ + > !s_1= 1/2, m_1 =1/2 ; s_2= 1/2, m_2 =-1/2 > = !+ - > !s_1= 1/2, m_1 =-1/2 ; s_2= 1/2, m_2 =1/2 > = !- + > !s_1= 1/2, m_1 =-1/2 ; s_2= 1/2, m_2 =-1/2 > = !- - > We have...

Is it true that e^{2(2x+ln2)} = e^{4x}e^{2ln2} I can't see how that is true? According to a paper mark scheme it is. Can someone clarify Thanks :)

Homework Statement The function f(x) =ln(10 - x) is represented as a power series in the form f(x) = (sum from 0 to infinity) of c_{n}x^{n} Find the first few coefficients in the power series. The Attempt at a Solution I know how to find the coefficients in a normal looking...

Can somebody please explain the negation elimination rule in natural deduction to me? I've read a few explanations and none of them make any sense whatsoever. Nor do I understand how you can (or why you would want to) be able to infer anything from a contradiction. Thanks.

I keep hearing people praise "natural" products even beyond the limits of the laws of physics! For example, a friend of mine who studies medicine said that natural vitamin C has different effects than artificial different C (the artificial one has some side effects) even though they have the...

I was recently doing some problems with Entropy, and came to the startling conclusion of incorrect units for most of my answers! One problem, for example--was to calculate the change in entropy of a given sample as it gained heat per temperature. \Delta S=\int^{f}_{i}\frac{dQ_{r}}{T} The...

i need help with this: lim x->\infty of \frac{ln(2+h) - ln(2)}{h} i have no idea where to even begin! i tried resolving it, but it didn't help :[ any suggestions??