# What is Approach: Definition and 562 Discussions

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1. ### I Understanding the given transformation - PDE

My interest is on how they arrived at ##r^2 \sin θ## My approach using the third line, is as follows ##\cos θ[r^2 \cos θ \sin θ \cos^2 ∅ + r^2 \sin θ \cos θ cos^2∅ ] + r\sin θ [r\sin^2 θ \cos^2∅ + r \sin^2 θ \sin^2 ∅]=## ##\cos θ[r^2 \cos θ \sin θ[\cos^2 ∅+ \sin^2 ∅]] + r\sin θ [r\sin^2 θ...
2. ### Solve the given inequality

I am interested in an algebraic approach. My lines are as follows; ##\dfrac{(x+1)(x+4)}{(x-1)(x-2)} -2<0## ##\dfrac{(x^2+5x+4) - 2(x-1)(x-2)}{(x-1)(x-2)} <0## The denominator will give us the vertical asymptotes ##x=1## and ##x=2## The numerator gives us, ##x^2+5x+4-2x^2+6x-4 <0##...

19. ### A Multiplying divergent integrals using Hardy fields approach

I wonder if the following makes sense. Suppose we want to multiply ##\int_0^\infty e^x dx\cdot\int_0^\infty e^x dx##. The partial sums of these improper integrals are ##\int_0^x e^x dx=e^x-1##. Now we multiply the germs at infinity of these partial sums: ##(e^x-1)(e^x-1)=-2 e^x+e^{2 x}+1##...
20. ### B Analysis vs arithmetic approach to solving motion

https://www.feynmanlectures.caltech.edu/I_10.html https://www.feynmanlectures.caltech.edu/I_09.html Using Mathematical approach we can describe the motion of a falling body whose gravity is 32 m/s^2. Analysis shows that this is simply ##s-s_0=ut+1/2at^2##. Similarly we can describe the motion of...
21. ### I Classical analogy approach to quantum mechanics

I have read about several approcahes to bypass some classical restrictions to quantum facts such as the electron being in a torus-like shape to avoid ,the greater than speed of light, rotation paradox . Could you recommend websites , sources or books that give good classical analogy to quantum...
22. ### I A new approach to the information Paradox

Summary: New black hole simulations that incorporate quantum gravity indicate that when a black hole dies, it produces a gravitational shock wave that radiates information, a finding that could solve the information paradox. Hello, Please excuse the rather "conversational" approach I'm using...

24. ### MHB How to solve the integral of 1+tanx using partial fraction decomposition?

$$\int\frac{dx}{1+tanx}$$
25. ### Finding Limits Using the Epsilon-Delta Method

Lim x->c f(x)=L means that for a given ϵ we can find a δ such that when |x-c|<δ-> |f(x)-L|<ϵ. To satisfy the criterion m<f(x)<M we choose ϵ=min (L-m, M-L) and for that ϵ we determine a δ. m<f(x)<M m-L<f(x)-L<M-L |m-L|<|f(x)-L|<|M-L| |L-m|<|f(x)-L|<|M-L| |L-m|<|L|+|m| |f(x)-L|<|f(x)|+|L|...

27. ### Kinematic Equations in Projectile Motion (this approach is not working)

Givens: Vyi=12.5 m/s Vyf=-12.5 m/s (at the same horizontal level) ay=-9.81 m/s^2 Δy= zero m (as the displacement on the y-axis, when the projectile reaches the same horizontal level, is zero m) Δt=? When I use Δy=[(vyi+vyf)/2]*Δt I get the time as undefined. Δt= 2Δy/(vyi+vyf) = 2*0 m/(12.5...
28. ### Solving the wave equation with change of variables approach

I am refreshing on the pde's, and i am trying to understand how the textbook was addressing change of variables, i find it a bit confusing. I will share the textbook approach, then later share my own understanding on change of variables approach. Here is the textbook approach; My approach on...
29. ### How should I Approach this Circuit Calculation?

Homework Statement:: R1 = 2kOHms; R2 = 2kOHms; R3 = 3kOHms; R4 = 3kOHms; VS = 25V; IS = 10mA [5,5] a) Determine the power provided by the source dependent on current using method of the nodes [3.0] b) What is the value of electrical power dissipated in all resistors in the circuit? Relevant...
30. ### Approach analytical calculation for a beam frame

Hi all, Currently I am working on a home-project, making a trike. Now just for fun and because I like to calculate things, I calculated the deflection of a frame with a load. The frame is shown in the picture below, I added the force for clarity. With my analytical calculation I found a...
31. ### A Calculation of an amplitude using the Grassmannian approach (amplituhedron)

In the following review paper on scattering amplitudes, by Elvang and Huang: https://arxiv.org/abs/1308.1697 they calculate the amplitude for 6 particles with half of positive helicity and half of negative helicity in section 9.3.2. Their matrix C (a point in the relevant Grassmannian) is...
32. ### What is the geometric approach to mathematical research?

I read this article History of James Clerk Maxwell and it talks about Maxwell and Dirac also at some point. It is said that Maxwell thought geometrically, and also Dirac said he thought of de Sitter Space geometrically. They say their approach to mathematics is geometric. I see this mentioned...
33. ### I Intuitive approach to Huygens' principle

Hi All, Huygens principle has been extended with two independent efforts in order to reform its original feature that gives rise to a back propagating wave. 1) Fresnel proposed the obliquity factor ##(1/2)(1 + \cos\theta)##. 2) Miller proposed two kinds of emissions (dephased). D. Miller...
34. ### Conservation of mass: control volume approach question

Summary:: Control volume question that has a brine solution entering a tank and mass accumulates over time. Hello, I'm currently struggling with a control volume approach question that has a brine solution entering a tank. I get to a point where I have a first order differential equation. I...
35. ### Engineering Advanced Approach to Elementary Engineering Statics and Dynamics

I already have a degree in physics. Is there a book that describes the applications for a person who knows the underlying physics? Poking around, I can only found 1000 page tomes that are also teaching the underlying physics. In the back of my head I am thinking about 1) Systems of wheels...
36. ### A Question about plabic graphs in the amplituhedron approach

I have a few questions on these graphs. For example if there is a way to tell directly from a complicated graph if it is "physical" in the sense that it describes an actual process. I have also questions on the building of graphs using BCFW bridges, on determining the value of the parameter "k"...
37. ### Blade containment - simplified analytical approach

Hi, one of the most interesting experimental tests performed for rotating machinery (such as gas turbines) is blade containment test - if the blade detaches from the hub, it can't break through the cover of the turbine because it could result in catastrophic damage (especially in case of...
38. F

### How to approach vector calculus identities?

Majoring in electrical engineering imply studying Griffiths book on electrodynamics, so I have begun reading its first chapter, which is a review of vector calculus. A list of vector calculus identities is given, and I would like to derive each one, with one of them being ##\nabla \cdot (A...
39. ### Studying Scholars & Physicists: A Look into Their Approach & Use of Online Videos

I am curious about how top scholars or passionate physicists approach a new topic or a chapter. Do they just dive right in or they do something else before approaching the topic? What's their method of working? Also, I want to know the significance of online videos in understanding a topic...
40. ### I How to approach a cross product question

I am beginning this new general physics course and I have encountered a question involved with what I assume to be cross products, a topic that I have very little experience with. I am not looking for a direct answer to the problem but advice on what steps should be taken in order to learn how...
41. ### Simultaneous Equations Alternate Approach

(55x + 45y) = 520 (1) (45x + 55y) = 480 (2) So first I notice they are divisible by 5 so I go ahead and do that. (11x + 9y) = 104 (1) (9x + 11y) = 96 (2) 11 times 9 is 99 and 9 times 11 is 99 so I can cancel some terms. I proceed to do that by multiplying the top by 11 and getting: (121x +...
42. ### Strange approach to the line-fed slot antenna electromagnetic problem

There is a beautiful demonstration, available in the text Robert S. Elliot, Antenna theory and Design, Wiley-IEEE Press, page 17 (Stratton-Chu solution), which shows how the electromagnetic field at each point ## \mathbf { r} ## of a volume ## V ##, with boundary ## S_1, ..., S_N ##: can be...
43. ### Simplify this term—best approach?

I'm not sure how to simplify this without spending a lot of time on it. Is there a pattern that I need to weed out?
44. ### Chemistry Is this the right way to approach solubility problem?

Is my work and the answer correct? If not, how should I approach this problem? Thank you!
45. ### MHB What is the distance of closest approach

from problem I find $r = r_0 + At$ $x_0 = 3 + 2t$ $y_0 = -1 - 2t$ $z_0 = 1 + t$ and $A = (2,-2,1)$ but i don't understand What is the distance of closest approach? someone tell me to a formula please.
46. ### B What is the energy required to approach near absolute zero?

I'm trying to understand if the amount of effort/energy required to get to absolute zero approaches infinity, or if its a linear thing... is there a point in which dropping near 0 kelvin changes from a 1:1 to an exponential curve? Is the whole thing a curve or is there a static point, like 1...
47. ### What approach should be used when solving a circuit?

I am close to graduating as an EE major but I have never been able to organize a step by step method on analyzing a circuit. It seems to me that every time I am trying to analize a circuit I end up with a bunch of equations and nothing more. I know that I should: 1. Know what I am solving for...
48. ### To find the closest approach of two ships

Could I please ask for help regarding the last part of this question: At a given instant, a ship P revelling due east at a speed of 30km/h is 7km due north of a second ship Q which is traveling x degrees west of north at a speed of 14km/h, where tan(x)=3/4. Show that the speed of Q relative to...
49. ### I Help Finding the Correct Approach to this Proof (Intro Real Analysis)

Ok, so here is what I have so far: Suppose ##T_1## is infinite and ##\varphi : T_1 \rightarrow T_2## is a bijection. Reasoning: I'm thinking I would then show that there is a bijection, which would be a contradiction since an infinite set couldn't possibly have a one-to-one correspondence...
50. ### Studying How do you approach lectures and learning the material?

Hey everyone. I'd like to share some thoughts on a problem that I have because I think it would be interesting to hear how others peoples thoughts on the problem. I'm studying an intense physics/engineering program in terms of workload. Our main form of learning new material in school is...