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We present a video on Möbius transformations and the geometry of the sphere. Anyone who has taken or will take complex analysis (that means you engineers!) should watch this. It shows not only the beautiful correspondence between the two, but it reveals the intuition behind a lot of complex analysis, when more often than not a student is left in the dust of rigorous formulas. In short, this is a proof without words that the Möbius transform..
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I have a confession to make. I am not very consistent with upgrading my software. My iPhone 4 is about 6 months out of date and every time that the little updater came up in Snow Leopard on my MacBook Pro I just waved it off and told it to go away.
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Today we announce new activities available over the API. As a reminder: Activites are the items on your Dashboard.
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Today we announce new activities available over the API. As a reminder: Activites are the items on your Dashboard.
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Tonight’s the Night” A large volume of research goes into the psychological and behavioral analysis of criminals. In particular, serial criminals hold a special place in the imagination and nightmares of the general public (at least, American public). Those criminals with the opportunity to become serial criminals are logical, cool-tempered, methodical, and, of course, dangerous. They walk among us in crowded city streets, or drive slowly d..
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Tonight’s the Night” A large volume of research goes into the psychological and behavioral analysis of criminals. In particular, serial criminals hold a special place in the imagination and nightmares of the general public (at least, American public). Those criminals with the opportunity to become serial criminals are logical, cool-tempered, methodical, and, of course, dangerous. They walk among us in crowded city streets, or drive slowly d..
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Tonight’s the Night” A large volume of research goes into the psychological and behavioral analysis of criminals. In particular, serial criminals hold a special place in the imagination and nightmares of the general public (at least, American public). Those criminals with the opportunity to become serial criminals are logical, cool-tempered, methodical, and, of course, dangerous. They walk among us in crowded city streets, or drive slowly d..
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Thanks for all the feedback about the beta. This version contains the following fixes and new features. Twitter integration added New breaking and latest ticker Granular settings for background services Fixed multiple toaster notifications for the same breaking news item Looking forward to hearing how you get on with the new version, XAP is avaialable here .
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Today we announce a better way to share sounds in SoundCloud via the API. The new interface resembles the way sharing happens on the website. You can retrieve, create, update and delete sharings to other users on SoundCloud based on user_id or email address for your tracks and playlists.
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Today we announce a better way to share sounds in SoundCloud via the API. The new interface resembles the way sharing happens on the website. You can retrieve, create, update and delete sharings to other users on SoundCloud based on user_id or email address for your tracks and playlists.
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It seems that false proofs are quickly becoming some of the most popular posts on Math ∩ Programming. I have been preparing exciting posts on applications of graph coloring, deck stacking, and serial killers. Unfortunately, each requires resources which exist solely on my home desktop, which is currently dismantled in California while I am on vacation in Costa Rica. Until I return from the tropics, I will continue with more of the ever -pop..
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It seems that false proofs are quickly becoming some of the most popular posts on Math ∩ Programming. I have been preparing exciting posts on applications of graph coloring, deck stacking, and serial killers. Unfortunately, each requires resources which exist solely on my home desktop, which is currently dismantled in California while I am on vacation in Costa Rica. Until I return from the tropics, I will continue with more of the ever -pop..
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It seems that false proofs are quickly becoming some of the most popular posts on Math ∩ Programming. I have been preparing exciting posts on applications of graph coloring, deck stacking, and serial killers. Unfortunately, each requires resources which exist solely on my home desktop, which is currently dismantled in California while I am on vacation in Costa Rica. Until I return from the tropics, I will continue with more of the ever -pop..
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A lot of geeks are using Markdown as their markup generation tool today. It’s simple, effective and used everywhere. It allows you to focus on your content and not on the HTML code that will be used to display the content on a web page. I have used Markdown extensively and its simplicity is appealing to me. reStructuredText is similar to Markdown. If you know Markdown, it’s dead simple to learn to use RST. So, why bother? There are many....
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A lot of geeks are using Markdown as their markup generation tool today. It’s simple, effective and used everywhere. It allows you to focus on your content and not on the HTML code that will be used to display the content on a web page. I have used Markdown extensively and its simplicity is appealing to me. reStructuredText is similar to Markdown. If you know Markdown, it’s dead simple to learn to use RST. So, why bother? There are many....
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Virtually every Christian has been taught that prayer is when you talk to God with your eyes closed . We tell our children, “Close your eyes and we will pray”. The idea of having your eyes closed when you pray is so engrained in our culture that we don’t give it a second thought. As protestant Christians, we believe that the Bible contains actual words of God. We also believe in the sufficiency of the Bible’s instruction. Let’s survey th....
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Virtually every Christian has been taught that prayer is when you talk to God with your eyes closed . We tell our children, “Close your eyes and we will pray”. The idea of having your eyes closed when you pray is so engrained in our culture that we don’t give it a second thought. As protestant Christians, we believe that the Bible contains actual words of God. We also believe in the sufficiency of the Bible’s instruction. Let’s survey th....
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Thank you so much for all the interest in testing out the app. Rather that pick a few people I’ve decided to run an open beta on the condition that you all promise to give me lots and lots of feedback on the new features. Especially the background service in combination with pinned feeds and deep linking. Few things to note: Before downloading please subscribe to the blog so that I can keep you up-to-date of any issues. Currently the in..
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Problem: Show that all horses are of the same color. “Solution”: We will show, by induction, that for any set of $ n$ horses, every horse in that set has the same color. Suppose $ n=1$, this is obviously true. Now suppose for all sets of $ n$ horses, every horse in the set has the same color. Consider any set $ H$ of $ n+1$ horses. We may pick a horse at random, $ h_1 \in H$, and remove it from the set, getting a set of $ n$ horses.
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Problem: Show that all horses are of the same color. “Solution”: We will show, by induction, that for any set of $ n$ horses, every horse in that set has the same color. Suppose $ n=1$, this is obviously true. Now suppose for all sets of $ n$ horses, every horse in the set has the same color. Consider any set $ H$ of $ n+1$ horses. We may pick a horse at random, $ h_1 \in H$, and remove it from the set, getting a set of $ n$ horses.
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Problem: Show that all horses are of the same color. “Solution”: We will show, by induction, that for any set of $ n$ horses, every horse in that set has the same color. Suppose $ n=1$, this is obviously true. Now suppose for all sets of $ n$ horses, every horse in the set has the same color. Consider any set $ H$ of $ n+1$ horses. We may pick a horse at random, $ h_1 \in H$, and remove it from the set, getting a set of $ n$ horses.
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As a young programmer, I'm in agreement. It was only a year ago that I actually spent time to deliberately read the source code of an open source project. That project was Python 3. I have tried in the past to read source code. I remember each and every time I would see a bunch of C files, tried my very very hardest to find main() and when I invariably failed, I just gave up because I had no idea what to do next. Do I just start reading....
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I like to say that feature branches are evil in order to get people’s attention. However in reality I lack the determination and confidence to be a zealot. So here is the non-soundbite version.
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A new version 1.1.8 of Sysprof is out. This is a release candidate for 1.2.0 and contains mainly bug fixes.
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How many colors are required to color the provinces of Costa Rica? A common visual aid for maps is to color the regions of the map differently, so that no two regions which share a border also share a color. For example, to the right is a map of the provinces of Costa Rica (where the author is presently spending his vacation). It is colored with eight different colors, one for each province.
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How many colors are required to color the provinces of Costa Rica? A common visual aid for maps is to color the regions of the map differently, so that no two regions which share a border also share a color. For example, to the right is a map of the provinces of Costa Rica (where the author is presently spending his vacation). It is colored with eight different colors, one for each province.
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How many colors are required to color the provinces of Costa Rica? A common visual aid for maps is to color the regions of the map differently, so that no two regions which share a border also share a color. For example, to the right is a map of the provinces of Costa Rica (where the author is presently spending his vacation). It is colored with eight different colors, one for each province.
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Just a quick note to say that due to a change in my email provider the address windowsphone7support@grippers.co.uk no longer works. For support please contact phonesupport[at]grippers.co.uk from now on. Sorry for any hassle caused.
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Problem: Suppose their are three circles in the plane of distinct radii. For any two of these circles, we may find their center of dilation as the intersection point of their common tangents. For example, in the following picture we mark the three centers of dilation for each pair of circles: We notice that the three centers of dilation are collinear. Show they are always collinear for any three non-intersecting circles of distinct radii.
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Problem: Suppose their are three circles in the plane of distinct radii. For any two of these circles, we may find their center of dilation as the intersection point of their common tangents. For example, in the following picture we mark the three centers of dilation for each pair of circles: We notice that the three centers of dilation are collinear. Show they are always collinear for any three non-intersecting circles of distinct radii.
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Problem: Suppose their are three circles in the plane of distinct radii. For any two of these circles, we may find their center of dilation as the intersection point of their common tangents. For example, in the following picture we mark the three centers of dilation for each pair of circles: We notice that the three centers of dilation are collinear. Show they are always collinear for any three non-intersecting circles of distinct radii.
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Quick peak into my work so far on a mango version of BBC News Mobile Features added so far: Double Sided Live Tiles Pin individual feeds to home screen Background service meaning improved live tile and breaking news notifications Background caching if wifi is available to speed up the app If you would be interested in testing out the Beta and have a mango dev unlocked device get in touch via the comments section. Even if you can’t tes..
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To make life simpler I’ve moved onto wordpress and away from my Modx hosted site as it did a bit more than was needed. From now on I’ll be posting updates on my apps here and maybe some general ramblings.
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Somebody tweeted this link out today: [1960s Braun Products Hold the Secrets to Apple's Future](https://gizmodo.com/343641/1960s-braun-products-hold-the-secrets-to-apples-future). The...
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