theydidntnameme

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1. [Solved] Vector prime notation, what does it mean?

I have successfully contacted the author. The ' was simply a harmless typo.
2. [Solved] Vector prime notation, what does it mean?

I'm trying to implement this paper:   https://www.cs.ubc.ca/~van/papers/2013-TOG-MuscleBasedBipeds/2013-TOG-MuscleBasedBipeds.pdf     I'm having a hard time understanding Equation (17), specifically what rk' is and where it came from.   I know that rk is the moment arm (a vector), Pb is a position (vector), jk I think is the position of joint k, and Fb and Tb are vectors calculated by equations (14) and (15). What is rk' though? I don't see any mention of it anywhere in the paper. Some google searches on vector prime notation lead me to believe that a vector with the prime symbol means the vector is tranposed. But I can see the transpose symbol already uses T, so is it really saying that vector rk is tranposed?

4. Would You Live on Mars?

I would go in a heartbeat too. Living on the frontier is something I always wondered about when I read history books as a child. Everything around us on the planet has been explored... I want to go to a new place and discover new things. I was never one that was dependent on a lot of things in order to live, so I imagine I could live quite well in the limited environment (slow internet, no water etc lol).
5. Game Engine max map sizes - why?

It's also easier to write implementations when you can rely on assumptions. If you know an array will have space for exactly 12 elements, you can cater specifically to that, as opposed to an array that could possibly have space for only 1 element, or hundreds. You have less cases to worry about. This could also limit your ability to do certain things, but the reason the limit was chosen in the first place was because it allowed the designers to do what they needed to do. Another example: trying to create the ultimate engine. Most game engines are very specialized. By assuming that a given engine will be used for only FPS games, you can design the program based on these assumptions (e.g. you can't roll the camera upside down when by turning it). Or a multiplayer focused engine, where all logic consists of client/server communications with cheat detection etc since we are under the assumption that we will not be creating singleplayer experiences.