Recent content by rdgn

Thanks! Just a follow-up. I remember now where I encountered integrals where there was 1/something before the integral. It was when I was reading things about Cauchy: https://en.wikipedia.org/wiki/Cauchy's_integral_formula. Although I'm quite sure I won't be studying complex analysis, I was...

What are the math concepts I have to learn for Radiometry, Photometry and Thermodynamics (all Calculus-based) as applied in building science (engineering, architecture, etc.). I'm almost done with Multivariable Calculus and I'm aware that MV Calculus is necessary, but what specific calculus...

I see. That makes more sense, thanks! I guess that's the reason it doesn't contribute to making the column of water above it go up right?

No, it's just something I've thought of since if dynamic pressure also behaves the same way as static pressure, then in the diagram of my first post, all three water levels should be equal right? I'm not really sure about this to be honest, and you're hinting that it's probably wrong. The way I...

I have been looking all over the net for answers for the unintuitive relationship between pressure and velocity in Bernoulli's equation and this thread (https://www.physicsforums.com/threads/the-concept-of-pressure-in-bernoullis-principle.585231/) answered most of my questions. I have one last...

TL;DR Ver: Learning resources for Learning Radiometry, Photometry, Optics, Thermodynamics, Fluid Mechanics, preferably videos, if not then books or any other resource. Also preferably with a focus for applications in buildings(civil eng/arch) and calculus-based. Thanks!

Learning Radiometry, Photometry, Optics, Thermodynamics, Fluid Mechanics(Statics & Dynamics) with great resources. I'm looking for resources for understanding the topics above. I prefer video tutorials as opposed to books but I couldn't find any video resources on Photometry and Radiometry (I...

Well, based on the intuition of the geometric definition, it's simply how much of a certain vector goes into another vector. (or more formally), how much of a vector is projected into another vector multiplied by the magnitude of that vector. Also, a measure of how much they point in the same...

Why is the dot product equivalent to the matrix multiplication of its components? I've seen some proofs using Pythagorean and cosine law but they don't give you an intuitive feel as to why matrix multiplication works. The geometric definition (##ab cosθ##) is very easy to understand. To a...