How To Parameterize Llm Prompt Openai Langchain Gpt Ai News One can, by the way, also parameterize surfaces (and even higher dimensional objects); the most important difference is that (at least sensible) parameterizations of surfaces require two parameters, as a consequence of the fact that on surfaces one can move in two independent directions. But if i plot the parameterized curve and the equation those are not the same, i think that the cause it's the = 2 = 2 in the equation but i don't know how to put it into the parameterized ellipse, can someone help me?.

Github Kwintonium Openai Gpt Example You'll need to complete a few actions and gain 15 reputation points before being able to upvote. upvoting indicates when questions and answers are useful. what's reputation and how do i get it? instead, you can save this post to reference later. The answer to your question will depend on what you want to do with the ellipsoid. the page on geodesics on ellipsoids gives three possible parametrizations of the surface: (1) geographic latitude and longitude (useful if you're determining your position by astronomical observations); (2) parametric coordinates, probably the simplest to deal with computationally; (3) ellipsoidal. How do i parametrize a triangle with vertices a(1, 1) a (1, 1), b(2, 2) b (2, 2) and c(1, 3) c (1, 3)? i have tried working with the equations of the lines that form it but am not completely sure how to link them together to come up with a parametrization of the form r(t) r (t). I would like to know how to parameterize a triangle over $ [0,1] \times [0,1]$. i actually only care that the mapping is surjective but a bijection is always nice i suppose.

All Your Questions On Ai Openai Gpt Llm And Prompt Projects Answered How do i parametrize a triangle with vertices a(1, 1) a (1, 1), b(2, 2) b (2, 2) and c(1, 3) c (1, 3)? i have tried working with the equations of the lines that form it but am not completely sure how to link them together to come up with a parametrization of the form r(t) r (t). I would like to know how to parameterize a triangle over $ [0,1] \times [0,1]$. i actually only care that the mapping is surjective but a bijection is always nice i suppose. How to parameterize a solution of a system of equations? ask question asked 14 years, 5 months ago modified 14 years, 5 months ago. There are infinitely many other ways to parameterize this. sometimes, people like to have t t come from the interval [0, 1] [0, 1]; we could do that. alternatively x x could depend on t t in some other, non linear fashion, as long as we can still eliminate t t and get z =x2 z = x 2, we can do a lot of different things. The easiest way is to let x = t x = t and y =t2 y = t 2 for −2 ≤ t ≤ 1 2 ≤ t ≤ 1 the parametrization that you have introduced does not consider the curve as a parabola. Your first example circle works with the "angle parameter" and the second one doesn't because θ θ measures "differences in direction" of rays or vectors emanating from the origin. if you still want to use θ θ for a circle with the origin not in its interior, the situation is somewhat complicated, since that circle subtends an angle less than 2π 2 π at the origin and the radius r r is no.