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fdej
searching PlanetScale…
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29 ms
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271.
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by
fdej
13y ago
This is sadly true. If you want to do reliable floating-point computations beyond +, * and / with round-to-nearest (and even that isn't easy, since for example the use of x87 instructions can result in the wrong precision), the on
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fdej
13y ago
New people are born every day.
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fdej
13y ago
This seems to be essentially the same thing as "power series arithmetic" (first-order "dual arithmetic" is equivalent to arithmetic in the ring of formal power series modulo x^2, but you can make that x^n). Encoding powe
274.
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fdej
13y ago
Lua, Julia, Mathematica, Matlab (ok, not so respected as a language)
275.
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fdej
13y ago
Sure. Just for a start, some of David Bailey's papers ( http://www.davidhbailey.com/dhbpapers/ ), e.g. "High-Precision Arithmetic: Progress and Challenges" and "High-Precision Floating-Point Arithmeti
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fdej
13y ago
Quadruple (or higher) precision is needed in many scientific applications.
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fdej
13y ago
10^12 is how much more work you have to do (according to the complexity estimate for the GNFS), regardless of how you do that work. If your custom-built hardware is 10^12 times faster than a general-purpose CPU, you can factor a 2048-bit
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fdej
13y ago
The (public) factorization record with GNFS is 768 bits, in an effort that took about 2000 CPU years. 1024 bits is about 1000x harder, so probably within reach with government resources. 2048 bits is 10^12 times harder, which surely is out
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fdej
13y ago
For Firefox, https://addons.mozilla.org/en-us/firefox/addon/google-no-tra...
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fdej
13y ago
Speaking from my personal experience as a Turing-level genius who hasn't accomplished much due to a lack of perseverance, I disagree.
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fdej
13y ago
Web browsers must be some of the most demanding applications to develop: they have to do very many different things; they must be very efficient; they must be very reliable; requirements change very rapidly. If claims made by certain langua
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fdej
13y ago
Every time you add a new property to Player, wouldn't you be forced to update all such functions to pass along the extra properties?
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fdej
13y ago
onfirefox22.0onwindowsthetextlookslikethis thanksbutnothanks
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fdej
13y ago
The normal route is shorter. The map projection is misleading.
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fdej
13y ago
I don't see the problem. It's obvious what the chart conveys if you stop to think for a moment (at least speaking for myself, I'm used to looking at graphs with a logarithmic time scale, and didn't think about it). In fa
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fdej
14y ago
The trend that annoys me most right now is that image thumbnails never just point to the large image: instead they pop up some JS-based overlay that obscures the whole page. There are several issues with this: * Quite often, for whatever re
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fdej
14y ago
Cynically, the point of doing science is to secure funding. Your ability to receive funding is based on your publication record. Improving software takes time away from writing papers, and is therefore counterproductive. Improving free soft
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fdej
14y ago
This is a rather superficial objection. Using square brackets for function application frees up juxtaposition for multiplication (without introducing ambiguity like in standard mathematical notation), so that's just a tradeoff. The use of c
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fdej
14y ago
Really, most science sounds like it might have just been made up when you read popular accounts of it. The actual reasoning in the paper is surely based on math. This seems to be the right abstract: http://adsabs.harvard.edu/abs/2013AAS...
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fdej
14y ago
I'm really curious what the reactions would be if the movie started at 24 fps and smoothly increased the framerate, to 48 fps at the end.
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fdej
14y ago
With this approach, how do you ensure that a higher intermediate precision does not result in reduced accuracy due to double rounding?
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fdej
14y ago
Seems pretty good if you compare it to a GPU.
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fdej
14y ago
Doom did not include a modding kit. All utilities were made by fans. Modding was easy in part because the engine had been designed to load all game content from separate, easily modified .wad files. (The rampant popularity of the game itsel
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fdej
14y ago
> So, of the 10 algorithms, at least three are closely related to just matrix theory. Amazing. "Mathematics is the art of reducing any problem to linear algebra." - William Stein
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fdej
14y ago
It's so bombular that it doesn't even work on the outdated version of Chromium I'm running at work.
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fdej
14y ago
Blogger doesn't load at all with JS disabled (noscript). Insane.
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fdej
14y ago
There is an actively maintained fork of GotoBLAS2, OpenBLAS: https://github.com/xianyi/OpenBLAS
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fdej
14y ago
I'll see your Ackermann function, and raise you TREE(3). Plus one.
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fdej
15y ago
I've almost never seen an upright 'd' in mathematical literature, though it seems to be somewhat more common in engineering texts. Ditto for the imaginary unit 'i' and the constant 'e'. Matter of taste.
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fdej
15y ago
It did -\int _{-\infty }^{\infty }\dfrac {\cos \left( \pi t+\beta \right) ^{2}} {e^{t^{2}}}dt=F\left( \beta \right) I'm impressed.
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