fractional Definition and 206 Threads

Hii guys.I have this problem.Can anybody help me on this.tq Homework Statement A satellite is in a circular polar orbit at a height of 870 km, the orbital period being approximately 102 min. The satellite orbit passes directly over a beacon at sea level. Assuming an average value of...

Homework Statement What fractions of crude oil would be distilled off, if you did the fractional distillation of crude oil in a lab? Homework Equations The Attempt at a Solution I think light petroleum and light naphtha, but I am not sure.

erm, ok let's say i have a value, with uncertainty, like y = 10 ± 3 so let's say i multiply y by 2, then it becomes 20 but does the uncertainty becomes 3 x 2 = 6? , hence y = 20±6 ? what about divide? does it becomes 1.5? i roughly understand fractional uncertainty and propagation...

Homework Statement I've completed the derivation of the hypersphere volume for integer dimensions, and my solution matches what's on Wikipedia. How can I generalize it to fractional dimensions? Homework Equations The Attempt at a Solution Not a clue; my only guess at this point...

long story short - how can oxygen have -2/3 charge in NO3 ion? Does one atom is missing 1/3 of its electron?? I am just missing something here terribly. (?)

Homework Statement Find the exact values of A, B, and C in the following partial fraction decomposition.Then obtain the integral using those values. 1/(x^3-3x^2) = A/x + B/x^2 + C/(x-3)Homework Equations I'm not sure at this point.The Attempt at a Solution To make the denominator on the right...

You dig a hole half way to the center of the earth. You lower an object to the bottom of the hole. By what fraction has the force of the Earth’s gravity on the object been reduced relative to that at the surface? Assume that the Earth is a sphere and has uniform density

Liquid mixture boils at the same temperature, and on the fractionating column are series of trays with bubble caps and overflow pipes, that circulates the liquid mixture. Then how comes the column contains trays at diferent temperatures?

I have been given a Indice. I've been trying to figure it out for awhile and need some assistance, It'd be great if someone could work it out and show me the steps they did and even explain it. ([a-2b-3/ 2a3b-4]2 )/ [ab-15]/a-3b2]) I've attempted the working out in my book, Its abit hard...

Could Anyons and Fractional quantum Hall effect create 2-D ribbons w/fractional electric charge (e/3) that combine to form fermions or bosons? Sundance Bilson-Thompson proposed a braiding model of 3's which could account for some particles of the standard model (i.e first generation fermions...

What experiment could determine whether our universe is fractal?

I've always just accepted that x^\frac{1}{2}=\sqrt{x} but I don't understand why. I guess I'm looking for a proof for this, and possibly lead this onto: x^\frac{m}{n}=\sqrt[n]{x^m} Thanks.

I am interested in fractional Calculus which means integration and differentiation of an arbitrary or fractional order. But I am confused about the geometric meaning. We know that 1st derivative gives us a slope but what about 1/2th derivative. How can we describe this kind of derivatives or...

Homework Statement (4x-1)^{1/2}-1/3(4x-1)^{3/2}Homework Equations The Attempt at a Solution I think the GCF is (4x-1)^{1/2}. So, I get (4x-1)^{1/2}(1+(-1/3(4x-1))) = (4x-1)^{1/2}(-4/3x+4/3) = -4/3(4x-1)^{1/2}(x-1) However, the answer in the book is 4/3(4x-1)^{1/2}(x-1). I've done it several...

Homework Statement Calculate fractional saturation (YO2) for hemoglobin at venous O2 pressure (30 torr). Assume that p50 for hemoglobin is 26 torr, Hill constant is 3. Homework Equations YO2/1-YO2=(pO2/p50)^n The Attempt at a Solution (30/26)^3=1.54=(YO2/1-YO2)= 1.54 -...

I am suppose to evaluate this integral by using substitution f'(x)=(e^-0.5x)/(1-e^-.5x) I will be very thankful if someone were able to tell me a strategy in antiderivitating fractional problems. What I did: I set u=-0.5x dx=du/-0.5 therefore i got (-1/0.5)((e^u)/(1-e^u))du I...

Could anyone explain to me the rule when Integrating of exponentials with a fractional power? e.g. ue to the power of -t/T. ue^-t/T Thanks in advance

Homework Statement Define L: |z| = 1 -----> Re( (1 + w)) = 0. Find L. Homework Equations A transformation is defined by three unique points by T(z) = (z-z1)(z2-z3) / (z-z3)(z2-z1). If we have two transformations T and S, and we want T = S for three distinct points, then we have the...

Homework Statement How does one integrate e.g. \frac{1+x}{(2+x)^{3/2}} by partial fractions? The Attempt at a Solution I have no idea about this. I've never seen this technique applied with fractional powers before.

Hi ! Im having a problem with a question! I need to differentiate the equation 1/ root of (3x^2 + 2) ! Using the formula (f(x+delta) - f(x)) / delta ! Your help would be appreciated!

Homework Statement Using the error propagation rule for functions of a single variable, derive a general expression for the fractional error, Δq/q, where q(x)=x^n and n is an integer. Explain your answer in terms of n, x, and Δx.Homework Equations The uncertainty of a function of one variable...

I am curious, is there any way to use the binomial theorem for fractional exponents? Is there any other way to expand a binomial with a fractional exponent? I suppose Newton's theorem is not a way since it requires factorials. Thanks!

I found on the internet that fractional is used when the differences in boiling points are below 25C, and that there are more than 2 or 3 substances in the mixture, but i didn´t figure out what's the difference in apparatus or how the substances are purified in fractional distillation. Could...

Homework Statement Let \mathbb{H}^2 = \{z=x+iy\in \mathbb{C} | y>0 \}. For a,b,c,d\in \mathbb{R} satisfying ad-bc=1 define T: \mathbb{H}^2 \rightarrow \mathbb{H}^2 by T(z) = \frac{az+b}{cz+d} Show that T maps that positive y-axis (imaginary axis) to the vertical line x=\frac{b}{d}...

If \frac{x}{y}=\frac{3}{5} then (A) x<y ( B) x> y (C)x=y (D)noon of these

I did fractional distillation to separate two solvents in my chem lab last week and I was just wondering if someone could check my thinking. So for the first little while after the distillation began, no solvent collected in the receiving flask because the temperature was still making its way...

Homework Statement What are the Differences Between Fractional Distillation and Normal distillation? *This is my First Post in this forum, so Forgive me if I did something wrong*

Homework Statement For this problem, I had to find the fractional charge given the dipole moment u and bond length R in a diaomic molecule (H-X, where X is a halogen)... I found that fractional charge by: fractional charge=u/(eR) where e=elementary charge of an electron I think that's...

how many definitions appart from the 'Riemann-Liouville differintegral' to define the fractional derivative of f(x) or x^{a}f(x) for real or complex 'a' are them all equivalents??

The fractional dynamics has been appearing in many phenomena such as the movement of protein in the cytoplasm. The Fractional calculus used to describe it. Xuru's Website Introductory Notes on Fractional Calculus http://www.xuru.org/fc/toc.asp ----------------------------------...

I hate discontinuity in nature. When I graph the probabilities of dice rolls (say, 2 dice or 3 dice) I get integer values that result discrete steps, like a staircase. But I know that the set of points represents a smooth bell curve. How can a set of discrete integer points - each of...

Homework Statement (2x + 3¬5) -(7¬3) = (3x -1¬4) solve for xThe Attempt at a Solution the lowest common multiple is 60 so: 14(2x + 3¬5) - 20(7¬3) = 15(3x -1¬4) is (28x + 42¬70) - (140¬60) = (60x - 15¬60) 60x - 28x = 32x time to combine like terms, now comes the confusion, the...

My teacher can't explain it. My textbook is awful at it. So can someone explain clearly what the role of the fractionnating columns are; in the Fractional Distillation Tower.

Homework Statement Show that the fractional energy lost per period is \frac{\Delta E}{E} = \frac{2\pi b}{m\omega_0} = \frac{2\pi}{Q} where \omega_0 = \srqt{k/m} and Q = m\omega_0 / b Homework Equations E = 1/2 k A^2 e^{-(b/m)t} = E_0 e^{-(b/m)t} The Attempt at a Solution \Delta E = 1/2 k A^2...

I was just playing around in my head. I wanted to plot this graph: y=x^2.5; x=-2 This is valid right? My calc says it's invalid input.

Many university organic course laboratories use Liebig columns packed with glass beads. This is what I use, but I would like to know if there are better columns that can be used instead of this. I had a problem with this type of apparatuse before. The glass beads shot right through the $30...

In the case of oil is that it contains hundreds of different types of hydrocarbons all mixed together can all be separated by distillation. To me is not clear why for a fractional distillation column when is used the differences in boiling temperature in the lower part are collected those...

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...

The following was gathered in an experiment. r(m)----- N1------N2-----N3----N4-------N5---N_avg---delta N 0.001---131------139---175---140-----158----148.6----15.882 0.002----90-------96---102-----87------85----92------6.228 0.003----52-------53----73-----65------55----59.6----8.139...

Hi all, I've been trying to get back into mathematics by teaching myself calculus. I've been starting with the book "Calculus Made Easy" and have been doing fine except for one little thing I encountered on page 57. He shows a mathematical proof of why the derivative of y = x^\frac {1} {2}...

Hello, I have posted a while ago wondering how to make a coil that was tuned to Earth resonance (~7.8 Hz). I realize that the wavelength at that frequency range is ridiculously low and would require an antenna the size of Texas to couple too normally. But I heard something about fractional...

hey there, i'm curious as to why they call it fractional Brownian motion. please don't say its Brownian motion that is fractional :-p many thanks

sooo ... i am kind of clueless about how to determine a linear fractional transformation for a circle that maps on to a line or vice versa ... like i do *kinda* get how to map a circle on to a circle ... or a line on to a line ...

The book and lecture notes do not give a good example of how to solve this type of problem. After writing out f' I don't know how to simplify. Any hints? \begin{array}{l} f(x) = x - 5(x - 1)^{2/5} \\ \\ f'(x) = \frac{{f(x + h) - f(x)}}{h} = \frac{{(x + h) - 5((x + h) - 1)^{2/5} -...

Perform the idicated operations. Write fractional answers as mixed numbers or as proper fractions reduced to lowest terms. One: -3-(-4)-|4-7| Two: 0.096492 ( Divid) 1.72 Simplify: 3(1-5)-[(1-7)(-5)] -(-{-[-(-64)]}) -|-3+4|+5-7 Evaluate: c-bc if b=-1 and c= -2

So it is well-known that for n=2,3,... the following equation holds \zeta(n)=\int_{x_{n}=0}^{1}\int_{x_{n-1}=0}^{1}\cdot\cdot\cdot\int_{x_{1}=0}^{1}\left(\frac{1}{1-\prod_{k=1}^{n}x_{k}}\right)dx_{1}\cdot\cdot\cdot dx_{n-1}dx_{n} My question is how can this relation be extended to...

Hello all! I was wondering if anyone knew of any good internet leads(besides mathworld, which does not have that much) on the topic of Fractional Differential Equations. I am wanting to investigate Tsallis's Non-Extensive entropy and from what I have come to understand he came to his...

Hi, I've got this particular polynomial a^{3/2}+x^{3/2} and I need to factorize it as far as possible. I've come to the conclusion that there are no factors. Am I wrong?

After esterification, can the ester be separated from other liquids using fractional distillation?

Because I can't write squared, if x is squared, I will just write it like this: xsquared x/x +2 MINUS x/xsquared - 4 = x+3/x+2 I get an LCD for each fracton and then I subtract getting this: xsquared - 2x MINUS x/xsquared - 4 = (x+3)(x-2)/xsquared - 4 What do I do now? If you...