词汇 | 切线 |
释义 | 切线 SVG can turn an image so it always faces the tangent of the line it is following. But, the dominant motion, near the origin is really where it goes down and back up, so answer number four, you have vertical tangent. And visually what we're accomplishing is somehow to take the hyperbola, and take a point on the hyperbola, and figure out some tangent line. The direction is tangent to the trajectory. Another way to say it, and I think that is probably closer to the truth, is that these things are somehow placeholders to put values and get a tangent approximation. Well, remember we said yesterday that the line integral of F dr, Tds maybe I should say F dot T ds now, because the vector field is tangent to the circle. The green spiral is made from quarter- circles tangent to the interior of each square, while the red spiral is a Golden Spiral, a special type of logarithmic spiral. Run the tangents. Please pay attention to the subtle differences, particularly the Tangential line marking the fillet's point of contact with its adjacent surface, and how the reflections break there as well. If the two level curves are tangent to each other that means they have the same tangent line. That means that the normal vectors should be parallel. Let me maybe draw a picture here. If you want strict equalities in approximations means that we replace the function by its tangent approximation. If you agree with my estimates, then you should do this as an investor, you should hold only some mixture of this tangency portfolio, which is9% oil, 27% stocks, and64% bonds. Water is the barrier element for the construction of Time Portals used as gateways between Universes at the Tangent Vortex. Now, he's using a much longer sample than I did, so he's not going to get this tangency portfolio that I did. I personally prefer this tool over the paths approach to selection because I don’t have to adjust any control points and tangents, even though it means a lot more clicks. I chose a circle because my hand-drawn paths made the tangent jump around. We know that f sub x and f sub y are the slopes of two tangent lines to this plane, two tangent lines to the graph. Our normal maps are different from those in most games, and easier to understand and work with, because they're stored in object- space instead of tangent- space. Maybe I'll write about that next time! And let's write down the equations of these lines. Now, if I have two lines tangent to the surface, well, then together they determine for me the tangent plane to the surface. Let's try to see how that works. So, on the unit circle, F is tangent to the curve. The quality of this transition is best visualized by a straight line drawn between two circles: the line's only point of contact with each circle is tangential. In my diagram, I said that the tangency portfolio-- I estimated that the tangency portfolio is9% oil, 27% stocks, and64% bonds. That would mean that everybody is holding that same portfolio of risky assets and nobody is different, they're only different in how-- what proportions they hold the risky-- the tangency portfolio. What is the tangency portfolio in this case? It has a hat because it's a unit vector, and T because it's tangent. The asset pricing model--and this is critical-- assumes everyone is rational and holds the tangency portfolio. That would be a portfolio where you borrowed at the riskless rate and you put more than 100% of your money into the tangency portfolio. |
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