Formula Definition and 1000 Threads

So I'm trying to figure out how to calculate the force behind the pressures achieved in this press. I know the pressures achieved with specific amounts of water(weight) for the pivot point being at either pin a or b but I'd like to know how to calculate this myself. I've tried looking up...

For spherical geometry, how can we solve volumetric heat production formula ? q=(Σ*Φ*A*C)/V for example if triso fraction rate is five percent of total fuel rod volume, how can we calculate volume (V) in the formula?

Could anybody explain me why indeed we can express the first-order correction to the n-th wave function \psi_{n}^{1} by linear combination \sum_{m} c_{m}^{(n)}\psi_{m}^{o}

Homework Statement Show that $$ \int_{-1}^{1}{x}^{n}P_n(x) \,dx= \frac{2^{n+1}n!n!}{(2n+1)}! $$ (Side question: this is the orthogonality integral= 0 when the functions inside the integrand are orthogonal; but I have seen hints that sometimes the Integral is NOT=0 even though the functions...

Points on the same line have two different coordinate systems: P and Q. The corresponding coordinates are denoted by small letters p and q. The two systems are related by a conversion formula q=sp+t. The point with P-coordinate -52 has Q-coordinate 634. The point with P-coordinate -4 has...

This looked straight forward, but I've gone wrong somewhere ... Using Rodriquez' formula, find: $ \int_{-1}^{1}{x}^{n}P_n(x) \,dx $ Rodriquez: $ P_n(x)=\frac{1}{2n}\frac{1}{n!}\d{^{n}{({x}^{2}-1)^n}}{{x}^{n}} $ So find $ \int_{-1}^{1}{x}^{n}...

Is there some mathematical derivation for calculating the orbital velocity based on altitude and acceleration without using calculus? I thought of equations of motion, but I always get problems. Is there a way to derive it using laws of gravitational potential and kinetic energy ? Are the...

So I'm doing research with a professor and he wants me to use the Bethe formula to calculate stopping power for alpha particles of various energies, but I'm having a lot of trouble using it, and I figured I'd ask here before I bothered him. He wanted me to use the non-relativistic version listed...

how do we derive rodrigue's formula

Hello, I am really struggling to write a math formula that I need for my website plugin. A=(Length) B=(Width) C=(Square Inch) A*B=C 0<=C<=16 then C*.84 17<=C<=34 then C*.70 35<=C<=65 then C*.56 66<=C<=99 then C*.42 100<=C<=150 then C*.35 151<=C<=500 then C*.31 I wrote this formula in excel...

Hi all, I've been a long time reader of this forum but haven't signed up for whatever reason. So thanks for the wealth of information and solutions to my headaches. I'm trying to figure out a coefficient of temperature equation and I'm having a hard time with the manipulation for some reason...

[FONT=Tahoma]Hello! I have a science investigatory project issued by my school. For my (actually our) project, we decided we will make a some sort of concept alternator powered by water collected from rain. Our goal is pretty small, to power up a small 5-volt bulb. Assuming the rotor rotates...

Homework Statement 50 students live in a dormitory. The parking lot has the capacity for 30 cars. If each student has a car with probability 12 (independently from other students), what is the probability that there won't be enough parking spaces for all the cars? Homework Equations P(A) =...

Hi all, Newbie here.. I am interested in making a magnetic leviation display like in this video: My question is what are the necessary setups? I know that I would need a strong magnet like neodymium magnet. But, i have no idea about the formula. Let's say i want to levitate a 1kg object, how...

To start let's use this trick to find a sequence of primes 11+13-7=17 This trick starts with prime 11 and the next in sequence 13. After you add them together to get 24 you subtract 7 which is the prime in sequence before 11, and you will get the answer 17. Now this will find every single prime...

Hello everybody, I'm new. It's a long time a have a big (probably stupid) doubt about the interaction between light and media, and now it's time to solve it. The doubt its essentially concerning the difference between an antenna and a photodetector: the first one is able to detect the amplitude...

Homework Statement Hello! Typical binary search tree has a number of nodes equal to 2^(n+1) - 1. I don't understand why we add 1 to the n? For example: a tree has a height 4. # # # # # # # # # # # # # # # each level has 2^i nodes; i = 0, 2^0...

I decided to integrate the formula ##g = \frac{GM}{r^{2}}##, and I ended up getting ##v_{g} = -\frac{GM}{r}##. What is the meaning of the latter formula, and is it useful in anyway?

What is the calculation that shows how much power is required to offset gravity? Gravity force is defined with units of kg.m.s-2. How to convert that to Joule.s-1? I am talking in the context of theoretical physics, not practical engineering like using a rocket or helicopter. But BTW could...

I have been doing research on entropy encoding for some time.. I found some interesting relationships between Arithmetic coding and other methods such as Huffman Coding. I made an article to explain them and am presenting here for review: http://siara.cc/arithmetic_coding_new_approach/ I have...

I am learning basic motor control and there is a formula list in my book. The last one is for torque calculation, can anyone point out to me where this one is from or how is it derived?

What formula can I use the time it takes an object to travel 402m if it starts at rest and accelerates at 17m/s?

I want a better visual model of what Newton's gravitational force formula represents: (G⋅m1⋅m2)/d2 But there are two contradictory things that I'm having trouble reconciling: Multiplying the two masses shows a relationship between the two point sources, but using the area of the sphere to...

Homework Statement P=Fv, I am confuse with which force to substitute into the equation. Is it the net force? or the driving force? (if it is a car) ..

Can you give me a link where I can find a simple explanation of the formula of the period of a pendulum? As far as I know, if the angle is 3°, the tension on the rope is g/ cos 3 and the horizontal T = 9,8 * tan 3 (0.0524) = 0.5 N. Is this the only force to consider? Can you tell me how to...

Homework Statement Good Day, On an oscilloscope, when two incoming signals are out of phase, in an XY setting, an ellipse appears on the oscilloscope screen. The phase shift between the two incoming signals can be found by the formula: sin^{-1}((Y_{max})/(Y_{int})) where Y max is the...

For Euler formula : e(iπ) + 1 =0 is it the same if we say e(-iπ)+1 = 0 or not ? (minus sign is included in the exponent)

Don't exist formula for the eigenvectors, all right!? Eigenvectors needs be found manually, correct!? But and about the Mohr's circle? This physical/mathematical theory don't define clearly the direction of the eigenvectors (called principal direction) with the eigenvalues (called principal...

Can anyone way in on the correct Formulas of a Solenoid Magnetic B-field at Ending, Middle and Outside? I have the following so far but some of them seem to contradict one another . Photo #1: Photo #2: Photo #3: Photo #4: Photo #5: Photo #6:

This formula: Is the unique form of write the cubic formula or exist other? OBS: Can be that other formula can be get through of some formula like this: source: https://pt.wikipedia.org/wiki/Bhaskara_II

So the formula for an ellipse in polar coordinates is r(θ) = p/(1+εcos(θ)). By evaluating L = ∫r(θ) dθ on the complex plane on a circle of circumference ε on the centered at the origin I obtained the equation L = (2π)/√(1-ε^2). Why then does Wikipedia say that the formula for the perimeter is...

Any one knows how to calculate the magnetic B field strength at a distance from a Large Conductor ? Do we go by average ? thanks

Hello, I have problem with understanding of expanding of formula in this video (at 30min 05s), after few second he neglects term (r/R)^2). For me there is missing factor 2 at second term (in "j" component). Similarly as here at 24min 10s. If somebody knows what's the matter there...please...

Hi, looking at a proof of Cauchy Integral formula, I have (at least) one question, starting from the step below $ \int_{{C}}^{}\frac{f(z)}{z-{z}_{0}} \,dz - \int_{{C}_{2}}\frac{f(z)}{z-{z}_{0}} \,dz = 0 $ , where $ {C}_{2}$ is the smaller path around the singularity at $ {z}_{0} $ Let...

I understand that Gott derived a formula for calculating the size of the observable universe, and the value of the diameter based on current obsrvations is 93 Gly. Can someone please show the mathematical derivation of Gott's formula, or give a reference to a source which shows this derivation?

I am trying to follow the derivation of lens maker's formula from the textbook "University Physics", p.1133 (https://books.google.com.hk/books?id=nQZyAgAAQBAJ&pg=PA1133#v=onepage&q&f=false ) I can understand the first equation because it is just the object–image relationship for spherical...

Hi - I know the final result for the n'th derivative, I am looking though at getting an expression for the 1st derivative of f(z). From $ f({z}_{0}) = \frac{1}{2\pi i} \oint_{c} \frac{f(z)}{z - {z}_{0}}dz $ we get $ \frac{f({z}_{0} + \delta {z}_{0}) -{f({z}_{0}}) }{\delta {z}_{0}} =...

Homework Statement This isn't really a problem I've been given, but questions i have about how the author of my textbook, Leon Couch, Digital and Analog communications Systems, found the PSD (power spectral density) of an digital NRZ pulse train. Homework Equations The PSD of a periodic signal...

Homework Statement Hello! Please, take a look at the picture attached. I would be grateful for the step by step explanation of the math equation; how it has been derived from f/s (1 + libor eur) - (1 + libor dol) to the one with logs? Homework EquationsThe Attempt at a Solution Thank you very...

What is the formula of tractive force? The mass of the truck is given. The distance it moved is also given and the work done.

This is no homework; but I cannot work it out so I assume one of my assumption is off... no matter how much I looked at it I can't get to the textbook answer. I tried searching (Google is my friend); I got to Prof. Burge's wonderful lectures slides (Arizona.edu) but he follows a different path...

I am trying to figure out if I could grow cool weather vegetable (say lettuce) in hot but dry climate by using swamp cooler to lower the temp of shade house. I have downloaded daily temp and humidity from www.weatherunderground.com and a chart on the potential temp drop: The thing is that I...

we are given : (1)n $\in N$ (2) n has exactly 4 positive divisors (including 1 and n) (3)n+1 is four times the sum of the other two divisors please find all n

Homework Statement { 7/6 , 45/54 , 275/648, 1625/9720 ... } Problem from a practice exam. My instructions are to find an explicit formula for the above sequence.. The Attempt at a Solution Let An =7/6 , 45/54 , 275/648, 1625/9720 ... Allow An = Bn / Cn Bn = 7, 45, 275, 1625... (2n+5)...

I am trying to understand the formula's for Gravitational Radiation. At one point in the derivation, every source I have seen comes up with Kirchhoff's Formula but they never derive it. They always just say its a well known result from Electromagnetic Radiation. I have been able to determine...

This is a Thermodynamics question. I need help in how to derive the Work done in changing from State 1 and State 2. ie: How do you derive the pV Work formula, W= "integral"dW= "integral"pdV

It has been a very long time since I have done any calc or hard math, I hope this question is in the right place. I have a HUGE number, that is random and big. What do I need to study/look at to create a formula that will generate just it?

Homework Statement This is an easy one, but keep in mind I'm kind of a newbie, anyway I can't figure out how to get the next formula... tan(z) = (tan(a)+i tanh(b))/(1 - i tan(a)tan(b)) Homework Equations This is the third part of an excercise, previous I proof the follow, -all using the...

I'm trying to solve this ecuation: Y_1=(-m)/2k((T-mg-kv^2)/(T-mg)) I'm having some truble at finding a correct formula to find the air resistance. In my research through Internet I found loads of different formulas but I don't exactly know which is the correct one. In an other discussion on this...