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    <title>Pinboard (Vaguery)</title>
    <link>https://pinboard.in/u:Vaguery/public/</link>
    <description>recent bookmarks from Vaguery</description>
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      <rdf:Seq>	<rdf:li rdf:resource="https://arxiv.org/abs/2308.06291"/>
	<rdf:li rdf:resource="http://search.arxiv.org:8081/paper.jsp?r=1508.04721&amp;qid=1490097764620ler_nCnN_397128995&amp;qs=%22recreational+math*%22+OR+%22mathematical+recreation%22"/>
	<rdf:li rdf:resource="https://arxiv.org/abs/1609.05240"/>
	<rdf:li rdf:resource="http://arxiv.org/abs/1211.3932"/>
	<rdf:li rdf:resource="http://arxiv.org/abs/1201.4417"/>
	<rdf:li rdf:resource="http://arxiv.org/abs/1110.5376"/>
	<rdf:li rdf:resource="http://arxiv.org/abs/1109.6874"/>
	<rdf:li rdf:resource="http://arxiv.org/abs/1106.4064"/>
	<rdf:li rdf:resource="http://www.custompapertoys.com/"/>
	<rdf:li rdf:resource="http://scienceblogs.com/transcript/2007/05/oh_the_wonders_of_modern_robot.php"/>
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  </channel><item rdf:about="https://arxiv.org/abs/2308.06291">
    <title>[2308.06291] The Balkans Continued Fraction</title>
    <dc:date>2024-03-29T21:40:35+00:00</dc:date>
    <link>https://arxiv.org/abs/2308.06291</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[In a previous escapade we gave a collection of continued fractions involving Catalan's constant. This paper provides more general formulae governing those continued fractions. Having distinguished different cases associated to regions in the plan, we nickname those continued fractions \enquote{The Balkans} as they divide into areas which are related but still different in nature.
Because we do not provide formal proofs of those machine-constructed formulae we do not claim them to be theorems. Still, each and every proposed formula was extensively tested numerically.
]]></description>
<dc:subject>experimental-mathematics cute continued-fractions number-theory rather-interesting Ramanujan-project to-think-about</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:f5354ad77d99/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:experimental-mathematics"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:continued-fractions"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:number-theory"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:rather-interesting"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:Ramanujan-project"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:to-think-about"/>
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<item rdf:about="http://search.arxiv.org:8081/paper.jsp?r=1508.04721&amp;qid=1490097764620ler_nCnN_397128995&amp;qs=%22recreational+math*%22+OR+%22mathematical+recreation%22">
    <title>[1508.04721] Every natural number is the sum of forty-nine palindromes</title>
    <dc:date>2017-03-24T01:00:48+00:00</dc:date>
    <link>http://search.arxiv.org:8081/paper.jsp?r=1508.04721&amp;qid=1490097764620ler_nCnN_397128995&amp;qs=%22recreational+math*%22+OR+%22mathematical+recreation%22</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[It is shown that the set of decimal palindromes is an additive basis for the natural numbers. Specifically, we prove that every natural number can be expressed as the sum of forty-nine (possibly zero) decimal palindromes.
]]></description>
<dc:subject>number-theory cute nudge-targets consider:looking-to-see to-write-about</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:243b51c797e9/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:number-theory"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:nudge-targets"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:consider:looking-to-see"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:to-write-about"/>
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<item rdf:about="https://arxiv.org/abs/1609.05240">
    <title>[1609.05240] A Computation in a Cellular Automaton Collider Rule 110</title>
    <dc:date>2017-03-24T00:15:37+00:00</dc:date>
    <link>https://arxiv.org/abs/1609.05240</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[A cellular automaton collider is a finite state machine build of rings of one-dimensional cellular automata. We show how a computation can be performed on the collider by exploiting interactions between gliders (particles, localisations). The constructions proposed are based on universality of elementary cellular automaton rule 110, cyclic tag systems, supercolliders, and computing on rings.
]]></description>
<dc:subject>cellular-automata cute to-write-about</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:5bb54b61f98e/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cellular-automata"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:to-write-about"/>
</rdf:Bag></taxo:topics>
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<item rdf:about="http://arxiv.org/abs/1211.3932">
    <title>[1211.3932] Random sampling: Billiard Walk algorithm</title>
    <dc:date>2013-03-15T11:28:41+00:00</dc:date>
    <link>http://arxiv.org/abs/1211.3932</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[Hit-and-Run is known to be one of the best random sampling algorithms, its mixing time is polynomial in dimension. Nevertheless, in practice the number of steps required to achieve uniformly distributed samples is rather high. We propose new random walk algorithm based on billiard trajectories. Numerical experiments demonstrate much faster convergence to uniform distribution.]]></description>
<dc:subject>algorithms geometry object-models-in-action cute nudge-targets engineering-design</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:ca90f0198ee7/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:algorithms"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:geometry"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:object-models-in-action"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:nudge-targets"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:engineering-design"/>
</rdf:Bag></taxo:topics>
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<item rdf:about="http://arxiv.org/abs/1201.4417">
    <title>[1201.4417] Instabilities and Patterns in Coupled Reaction-Diffusion Layers</title>
    <dc:date>2012-01-26T14:06:58+00:00</dc:date>
    <link>http://arxiv.org/abs/1201.4417</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["We study instabilities and pattern formation in reaction-diffusion layers that are diffusively coupled. For two-layer systems of identical two-component reactions, we analyze the stability of homogeneous steady states by exploiting the block symmetric structure of the linear problem. There are eight possible primary bifurcation scenarios, including a Turing-Turing bifurcation that involves two disparate length scales whose ratio may be tuned via the inter-layer coupling. For systems of $n$-component layers and non-identical layers, the linear problem's block form allows approximate decomposition into lower-dimensional linear problems if the coupling is sufficiently weak. As an example, we apply these results to a two-layer Brusselator system. The competing length scales engineered within the linear problem are readily apparent in numerical simulations of the full system. Selecting a $sqrt{2}$:1 length scale ratio produces an unusual steady square pattern."]]></description>
<dc:subject>cute emergent-design pattern-formation complexology nudge-targets nonlinear-dynamics</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:7c05c8698a13/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:emergent-design"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:pattern-formation"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:complexology"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:nudge-targets"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:nonlinear-dynamics"/>
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<item rdf:about="http://arxiv.org/abs/1110.5376">
    <title>[1110.5376] A Quantitative Test of Population Genetics Using Spatio-Genetic Patterns in Bacterial Colonies</title>
    <dc:date>2011-11-26T15:18:58+00:00</dc:date>
    <link>http://arxiv.org/abs/1110.5376</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["It is widely accepted that population genetics theory is the cornerstone of evolutionary analyses. Empirical tests of the theory, however, are challenging because of the complex relationships between space, dispersal, and evolution. Critically, we lack quantitative validation of the spatial models of population genetics. Here we combine analytics, on and off-lattice simulations, and experiments with bacteria to perform quantitative tests of the theory. We study two bacterial species, the gut microbe Escherichia coli and the opportunistic pathogen Pseudomonas aeruginosa, and show that spatio-genetic patterns in colony biofilms of both species are accurately described by an extension of the one-dimensional stepping-stone model. We use one empirical measure, genetic diversity at the colony periphery, to parameterize our models and show that we can then accurately predict another key variable: the degree of short-range cell migration along an edge. Moreover, the model allows us to estimate other key parameters including effective population size (density) at the expansion frontier. While our experimental system is a simplification of natural microbial community, we argue it is a proof of principle that the spatial models of population genetics can quantitatively capture organismal evolution."]]></description>
<dc:subject>bacterial-genetics evolution microbiology experiment cute</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:1ce323f96123/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:bacterial-genetics"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:evolution"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:microbiology"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:experiment"/>
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<item rdf:about="http://arxiv.org/abs/1109.6874">
    <title>[1109.6874] #h00t: Censorship Resistant Microblogging</title>
    <dc:date>2011-10-04T13:29:00+00:00</dc:date>
    <link>http://arxiv.org/abs/1109.6874</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["Microblogging services such as Twitter are an increasingly important way to communicate, both for individuals and for groups through the use of hashtags that denote topics of conversation. However, groups can be easily blocked from communicating through blocking of posts with the given hashtags. We propose #h00t, a system for censorship resistant microblogging. #h00t presents an interface that is much like Twitter, except that hashtags are replaced with very short hashes (e.g., 24 bits) of the group identifier. Naturally, with such short hashes, hashtags from different groups may collide and #h00t users will actually seek to create collisions. By encrypting all posts with keys derived from the group identifiers, #h00t client software can filter out other groups' posts while making such filtering difficult for the adversary. In essence, by leveraging collisions, groups can tunnel their posts in other groups' posts. A censor could not block a given group without also blocking the other groups with colliding hashtags. We evaluate the feasibility of #h00t through traces collected from Twitter, showing that a single modern computer has enough computational throughput to encrypt every tweet sent through Twitter in real time. We also use these traces to analyze the bandwidth and anonymity tradeoffs that would come with different variations on how group identifiers are encoded and hashtags are selected to purposefully collide with one another."]]></description>
<dc:subject>social-media steganography robustness activism cute</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:1dc7cb2f77bd/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:social-media"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:steganography"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:robustness"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:activism"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
</rdf:Bag></taxo:topics>
</item>
<item rdf:about="http://arxiv.org/abs/1106.4064">
    <title>[1106.4064] Algorithmic Programming Language Identification</title>
    <dc:date>2011-10-04T11:42:44+00:00</dc:date>
    <link>http://arxiv.org/abs/1106.4064</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["Motivated by the amount of code that goes unidentified on the web, we introduce a practical method for algorithmically identifying the programming language of source code. Our work is based on supervised learning and intelligent statistical features. We also explored, but abandoned, a grammatical approach. In testing, our implementation greatly outperforms that of an existing tool that relies on a Bayesian classifier."]]></description>
<dc:subject>algorithms programming classification languages archives cute nudge-targets</dc:subject>
<dc:source>https://pinboard.in/</dc:source>
<dc:identifier>https://pinboard.in/u:Vaguery/b:f92d282b5a7e/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:algorithms"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:programming"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:classification"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:languages"/>
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	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
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</item>
<item rdf:about="http://www.custompapertoys.com/">
    <title>Custom Paper Toys</title>
    <dc:date>2007-06-05T17:28:12+00:00</dc:date>
    <link>http://www.custompapertoys.com/</link>
    <dc:creator>Vaguery</dc:creator><dc:subject>art free toys cute make craft creativity gallery cartoon</dc:subject>
<dc:identifier>https://pinboard.in/u:Vaguery/b:ea4381ba29a6/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:art"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:free"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:toys"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:make"/>
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	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cartoon"/>
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</item>
<item rdf:about="http://scienceblogs.com/transcript/2007/05/oh_the_wonders_of_modern_robot.php">
    <title>The Daily Transcript: Oh, the wonders of modern robotics</title>
    <dc:date>2007-05-09T01:08:59+00:00</dc:date>
    <link>http://scienceblogs.com/transcript/2007/05/oh_the_wonders_of_modern_robot.php</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[Now that's a Robotic Overlord I can happily play minion to.
]]></description>
<dc:subject>robotics engineering design automation affective computing sensory responses dancing cute bouncy</dc:subject>
<dc:identifier>https://pinboard.in/u:Vaguery/b:078730bd97a5/</dc:identifier>
<taxo:topics><rdf:Bag>	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:robotics"/>
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	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:design"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:automation"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:affective"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:computing"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:sensory"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:responses"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:dancing"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:cute"/>
	<rdf:li rdf:resource="https://pinboard.in/u:Vaguery/t:bouncy"/>
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