Formula Definition and 1000 Threads

Hello, I was told to find the root of an integrand with using the bisection method. I am kind of new to such a stuff so I am kind of confused why I am not getting the expected result. Here is my bisection code: tl=3.0 tup=4.0 tempred=0.0 s=-0.234726128709272990292 do while (abs(total_calka)...

I'm reading about Line Integrals, so I thought I'd review the proof for the arc length formula. However, there's something I don't quite understand about the proof that I either overlooked or understood before. From what I see, the arc length formula holds because the MVT guarantees that there...

For a parallel plate capacitor, the electric field can be written as $$E=\frac{q}{\epsilon_{0}A}$$ In my textbook it doesn't say how this is derived. I wonder how it is derived - i.e. how can one get to this equation from simpler equations?

Homework Statement I am to figure out the maximum vertical distance and the maximum horizontal distance for an object thrown, as well as how long it take to get there. The information given is the weight of the object, the pounds of force used to launch the object, the distance for the total...

Hello. I find this whole topic of compound angle formula really confusing. I've been doing equations like cos(60+x) = sinx using the co function identities so far, yet this one seems to be impossible to do using cofunction identities so I need to know how to do it using compound angle formula...

Hi, I was wondering whether it was posible with a formula to measure the distance to which two equal magnets start attracting to each other. I was looking at this web page https://www.kjmagnetics.com/blog.asp?p=surface-fields-101 and I am not sure if this is the right formula. I have two...

Hi, There is a cost of debt formula that goes c = ib(1-T), where c is the cost of issuing debt that firm incurs ( a percentage like interest) i is the interest earned by the investor, and T is the tax rate a firm pays. The key is that the interest rate alone is not really the cost of taking on...

Is the following equation mathematically rigorous? How can you tell? ## \int_{-\infty}^\infty \delta(x-a) \delta(x-b) dx=\delta(a-b)## Thanks

Hey! :o We were given a velocity field and we have to calculate the vector field of the local acceleration, the acceleration because of the transport and the total acceleration at the time $t=0$. Could you tell me the formula at each case?? (Wondering)

Hello, I can't understand where this formula ((8.5), Rössler, Solid State Theory, Springer) comes from (see attached file). The label l stands for the electrons positions and c and c dagger are the free electron creation and annihilation operator. This expression is used to write the linear...

I recently come across with an amazing equation of Theory of Everything; I wonder if TOE has been formulated (?) I found this equation on a website, check it out http://www.preposterousuniverse.com/blog/2013/01/04/the-world-of-everyday-experience-in-one-equation/. While seeing briefly this...

Hi! I have some simple questions on the formula for torque on a coil in a magnetic field, ie this one: τ = NIA sinθ where I is the current flowing through the coil, A is the area of one loop, N is the number of loops, B is the magnitude of the magnetic field and θ is the angle between the...

I'm studying a research paper that gives this formula for the running time of an algorithm, expO((log N)^α(log log N)^(1−α)) = L(a) I would like to plot this function alongside another, for a = 1/4 + O(1), a = 1/4 + O(n), and a= 1/3. The function's growth parameratized by those a's, should be...

This is for work. I need to make a table for a client. What we did: had two different closed systems, only difference is material. We had frozen goods in both containers, the containers were both removed from the cooled surroundings they were in and placed outside. The temperatures were...

Homework Statement The combination of n different object, taken r at a time(repeatation allowed) is given by Cnr = (n-1+r)! / [(n-1)! r!]Homework EquationsThe Attempt at a Solution The above formula is deducted, as it is same as no. of ways of placing n-1 bar in n-1+r places, which is same as...

If a projectile shot from the ground were shot at a target located at a specified height above the ground, and would hit the target, is there a known formula to find the projectile’s height on its trajectory a specified distance (measured along the flat ground) from the target’s base or from the...

Hi, everybody. Mathematic handbooks have given a sum formula for the modified Bessel function of the second kind as follows I have tried to evaluate this formula. When z is a real number, it gives a result identical to that computed by the 'besselk ' function in MATLAB. However, when z is a...

Homework Statement In an experiment to study a black body radiator, the intensity of emitted radiation is measured as a function of the wavelength of the radiation. At a particular temperature T1 the wavelength of the highest intensity radiation is determined to be λ1. When the temperature is...

I think this is an obvious answer, but maybe I'm dense! So not sure if this belongs in this sub-group, but let me explain my question below Say I have a budget of $\$ 50$ for gas and $\$50$ for entertainment. I cannot cross between those two pots. So even though i have $\$ 100$ i′ve got 50%...

We have the formula for the mass of an atom: From our class notes I have: Please could someone explain how he manages to get a single parabola from the pairing term? All I understand about the pairing term is that ap<0 for Z,N even, even. ap=0 for A odd and ap>0 for Z,N odd, odd. At a loss...

a In the formula above, on the left hand side, ρ(0) is a system's density operator in its initial state. a is the annihilator operator of the system, and a+ is the create operator of the system. ρss is the system's density operator in its steady state. But I don't understand why this formula...

Im to solve ##(k+l)^{2}e^{-ila}-(k-l)^{2}e^{ila}=0##, for ## k##, The solution is ##k=l(e^{ial}-1)/(e^{ial}+1)=il tan(al/2)## FIRST QUESTION So it's a quadratic in k, should be simple enough, my working so far using the quad. formula is ##k= (4l^{2}(e^{-ila}+e^{ila})\pm...

Ran out of room for my title - not sure how to say it concisely, or if there is a better place to put this question...lets say this is "financial engineering"... I am looking for a formula what will give me the number of terms that will be compounded in a given length of time. Say: Principle =...

This is the gravitational potential energy formula $$U = -\int_\infty^r\vec{F}_\text{field}\cdot d\vec{r}$$ If r vector's direction is form infinity to r, then it means it has same direction as Gravitational Force. So cos0=1 But after multiplication there is a negative sign here: "-GMm" $$U =...

I am trying to calculate the average speed of a car while traveling around a loop de loop in m/s and km/h can anybody help? Thanks

Hi there, right now, I am struggling to successfully calculate scores with the Bayesian Truth formula and I hope this is the right place to find someone who can help me along For everyone, who doesn’t know it, I will summarize it briefly : The Bayesian Truth Serum is an scoring method, that...

Homework Statement Don't ruin the problem for me please, I just want to know why there is a velocity vector at the end of this formula. It's really strange since there is velocity in the equation already, so what would the velocity with the vector arrow on top mean? Problem: A boat travels at...

Homework Statement Hello! Here is the quote of mathisfun explanation of correlation formula and after ## my understanding or questions: Let us call the two sets of data "x" and "y" (in our case Temperature is x and Ice Cream Sales is y): Step 1: Find the mean of x, and the mean of y Step 2...

Happened to pass someone wearing a t-shirt today with the logo: F/C^2(sqrt(-1))PV/nR Could you explain to me what this means? Thank you

http://math.sfsu.edu/federico/Clase/Math350.S15/linea.JPG 1. Homework Statement The picture below represents the map from a "green projective line" to a "red projective line." It takes the "green points" 1,3,7,-11 to the "red points" 0,6,10,20, respectively as shown by the ruler. Let f be the...

I am trying to find a formula to determine effort to raise a ladder based on the angle of the ladder at a given time. I am concerned mostly about the angle so I can plug in an individuals height and distance toward the fulcrum. I am assuming the ladder will not slide at the footing. I included a...

I'm trying to derive a formula for the magnetic torque on a semicircular loop. what I've done so far is this The magnetic force on the non-curved loop is $\vec{F}_{x}=\int Idx\hat{i}\times B_{\circ}\hat{i}=0N$ for the curved loop $\vec{F}_{c}=\int_{0}^{\pi} Ird\phi\hat{\phi}\times...

I've been using euler's formula now more than I have in the past, (using it for circuit analysis stuff), and so its been floating around in my head a bit more. Say you have e^{2πi}=1 and you take the natural log of both sides. \log_e( e^{2πi})=\log_e(1) 2πi=0 uhhhhh... :confused:

Hey guys and gals, I'm taking an online physics course just to kind of learn the basics before I take the real thing this summer. The course is from OpenYale for those interested (oyc.yale.edu). Anyways, the professor was talking about some formulas for finding ##\vec{r}(t) = r(i(cos\omega t) +...

Hey! :o Let $f: [0, \pi]\rightarrow \mathbb{R}$ a $C^{\infty}$ function for which the following stands: $$g(0)=0 \ \ , \ \ g(\pi)=0$$ I have to show that $$\int_0^{\pi}g^2(x)dx \leq \int_0^{\pi}(g'(x))^2dx$$ using Parseval's formula. I have done the following: The Fourier series of $g$...

Homework Statement log39x4 - log3(3x)2 The answer sheet says that the answer is 0, but when I work the problem both ways I get: 2log3x Any ideas? Homework Equations logxy/z = logxy - logxz The Attempt at a Solution Formula Sheet 20-30 Minutes of Messing around with the problem

Homework Statement I have the total energy of a hydrogen atom E and need to take the average. The uncertainty in deltax=r so the uncertainty in deltap=hbar/2r The average values of x^2 and p^2 can be identified with the squares of the corresponding uncertainties, and the constant value of E is...

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] So the original problem was that a stationary hydrogen atom changed states from excited to lower state and emitted a photon, i solved for the energy of the photon hf taking into account the...

I was just trying for the ninetieth time to try and understand the sort of physicality Euler's formula and the role i plays in the way so many equations work - it's always been such an obstacle to reading so many of them. I mean what the heck is that i doing there. Progress, maybe, but... no...

Hey guys, I have made an attempt at rearranging the formula below and I am looking for someone to just have a look over it and see if I got it right?Really appreciate any pointers or tips Thank you! :-)

My observation is to verify self inductance formula by measuring the resonant frequencies of different coils in an LC circuit.For this, I am asked to use this formula by my mentor : L = 1/(4π^2 . f^2 . C) Here, f = different resonant frequencies, C = capacitance of the capacitor in the LC...

I am studying National 5 physics, and my exam is tomorrow. I need some last-minute help. I'm struggling a little bit with the combined gas law, P1V1/T1 = P2V2/T2, and I'm not sure why. It would help me a lot if you could show step-by-step how the formula is used. Thanks for your time, it's very...

Since kinetic energy is in is a scalar quantity in joules, then is the v in (1/2)mv2 speed or velocity?

Since the pressure a sphere exerts on a surface tends to infinity, how do you actually calculate it? My guess would be trying to see how many atoms of the surface (a straight line) and of the sphere collide. But this is very dependent on the materials and exterior factors. I have searched...

Dear Readers, It has been many (30+) years since I have had to work this kind of math and it is kickin' my butt. So, if you can help a software weenie with a need for a conversion formula for ENU to ECEF (or at least an explanation of things more elementary than what I have found thus far) it...

Homework Statement In my textbook it's written that turnbull's blue is: ## Fe_3^{II}[Fe^{III}(CN)_6]## Homework Equations none. The Attempt at a Solution But Shouldn't it be twice of the complex compound instead of one...to balance the charge. I googled it but found the formula of the...

Use Gauss Chebyshev formula with $n=3$ to approximate the value of the integral. $$\int \frac{x^4}{\sqrt{1-x^2}}dx$$ from -1 to 1. Also compare the result with true value, where the zeros and the corresponding weights of the following simple set of orthogonal polynomial is given as below...

Hello.I need help with wind tunnel.The test section is 2m x 2.5 m x 5 m long.How do I work out size of inlet cone.Thanks in advance

What's the chemical formula of bornite?According to wikipedia http://en.wikipedia.org/wiki/Bornite it is Cu5FeS4.According to http://www.spiritofisis.org/knowledge/crystal_files/bornite.htm it is Cu2FeS4 and as per my textbook it is Cu3FeS2.Now,What's the actual chemical formula of bornite?I...

Hi, i need to know the chemical formula of cement and resin and their densities. can someone help me, please? thank you in advance !