How to pronounce “convex” in English

We take these measures of similarity over latitude, longitude, altitude, and distance to nearest aircraft, and just takea convex combination, which is depicted here.We, so far, have only explored having equal weights for all the kernels.

One person has knowledge and his brother has convexity, hasa convex payoff. And the difference between them would be the difference between knowledge and a convex payoff will be what I call theconvexity bias. I simulated it and look how big is.

Here's another example where you see the same thing.You construct the convex hull of the viewpoint and the transform set of points, the red cloud you constructed.

And so as part of the apparatus, it has two massive burning lenses.They're convex lenses. They're mounted at the end of the platform, and that they could be manipulated through a series of cog wheels, and could sort oftrack the sun's rays over time.

My PhD was in circuit design, in analog chip design, so it was fairly technical.And I also did convex optimization, large scale optimization, so I had kind of a dual background for somebody in chips.My first company actually didn't work out, but it was a great learning ground for everything that came afterwards.

The Romans were extremely heuristic-- very, very, very experienced based, and they did everythingusing this convex knowledge.How was it convex knowledge?

using this convex knowledge.How was it convex knowledge?It's exactly like cooking.

53. And there's a standard deviation around that.Economists call this convexity, which says for a small change in quality, there's a huge change in payoff.

Book four is about optionality and the things I introducelink to convexity. I didn't want to scare the readers-- I didn't talk to them about convexity right away.I tried to get through the back door via this very simple representation.

You have very little to lose by adding an ingredient and tasting.except there's convexity in medicine.

You have very little to lose by adding an ingredient and tasting.There's convexity of payoff from medical treatment.

Innovation pays in the future.It's what's called a convex form of value.How much data do we have on the future, anyone?

This is the average place Kolarov passed off to Sterling.And then we can build up a convex hull which connects all of these passing points.And you get an idea of where is the territory for these different places.

Here's another example where you see the same thing.So what you see here in black is the convex hub.

where you have two people competing.One person has knowledge and his brother has convexity, hasa convex payoff. And the difference between them would be the difference between knowledge and a convex payoff will be what I call the

make it even stronger. I'm going to assume that the consumer has linear utility, which means that prices in equilibrium are going to be constant.economy of scale you have to make some assumptions to maintain the problems being convex uh that's it okay

Hockney and his scientist colleague Charles Falco suggest that the depicted mirror at the back was used as a projection mirror.They wrote, "Van Eyck placed a convex mirror at the very center of this Arnolfini masterpiece, the very mirror, the very mirror which, turned around,he may well have used to construct the image." So here is a detail, just a small part of that painting, showing that convex mirror.

We see the two witnesses to the wedding.But clearly, it's a convex mirror because we can see that it's distorted the image.And we can test whether that was used by looking at its focal length.

Here's another example where you see the same thing.So what you see here, you see the convex hull for some set of points.

spent two hours at 65 degrees, for example.In Jensen's inequality, anything convex-- actually, this is a graph of Jensen's inequality.OK, here it is.

Given an image under a projection, like a photograph, we can infer its so-called focal length.Well, we need to find the focal length of that convex mirror.

Here's another example where you see the same thing.Once you have this red point cloud, you construct the convex hull.

Here's another example where you see the same thing.And it turns out that like magic, points that fall on the convex hull are the visible points.

Here's another example where you see the same thing.OK? These are the points that fall on the convex hull.

And do you want to supersize it?Look at those revenue numbers-- everyone's dream come true, that hockey stick convex curve, revenues through the roof.

Positive. It's not neutral.OK, very good. So what's the opposite of convex?Concave. Concave. Actually, the negative of convex is concave, you see.

You have very little to lose by adding an ingredient and tasting.A lot of things get stronger under repression and belong to that class of anti-fragile and it all can be mapped as convex.

You have very little to lose by adding an ingredient and tasting.But on the other hand, we should analyze medicine using convexity terms, that if you are very ill, you should have

Yeah, just sounded good.It's got a nice, snappy elastic texture to it, but still, that same convex, soft, sweet flake of cod.

They wrote, "Van Eyck placed a convex mirror at the very center of this Arnolfini masterpiece, the very mirror, the very mirror which, turned around,he may well have used to construct the image." So here is a detail, just a small part of that painting, showing that convex mirror.You've certainly seen these in convenience stores to give a wide angle view.

And I remember going to pitch to Pejman and saying after my first company had failed and wondering who would give me money, I said to Pejman,I'm working on this, I've learned what customers want, I'm building this software platform using convex optimization for designing chips.And Pejman said, I have no idea what you're talking about, but I really like you so I want to give you money

OK, very good. So what's the opposite of convex?Concave. Concave. Actually, the negative of convex is concave, you see.Very good. So the opposite of robust cannot possibly be-- the opposite of fragile cannot possibly be robust.

Do you agree? So in history books and history of technology, people usually oppose trial and error versus theoretical knowledge.But whenever we're able to work with trial and error, they did not understand it had to be convex.Trial and error relies on luck, but luck can hurt you, so it was never modeled as an option, technology as an option.