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Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

Zoë Holmes, Erick Hinds Hinds Mingo, Calvin Y.-R. Chen, Florian Mintert
<span title="2020-01-16">2020</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
We go on to derive a Crooks-like equality for an energy supply that is prepared in a pure binomial state, leading to a non-trivial contribution from energy and coherence on the resultant irreversibility  ...  We show how the binomial state equality fits in relation to a previously derived coherent state equality and offers a richer feature-set.  ...  An analogous approach for the binomial state Crooks equality encounters difficulties.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e22010111">doi:10.3390/e22010111</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/33285885">pmid:33285885</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC7516414/">pmcid:PMC7516414</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3ojwpges7ne3djympjqlwkbsf4">fatcat:3ojwpges7ne3djympjqlwkbsf4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200209060748/https://res.mdpi.com/d_attachment/entropy/entropy-22-00111/article_deploy/entropy-22-00111-v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/30/d6/30d6472ebe04aaa44850b9969aca66470df09762.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e22010111"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516414" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Two Classes of Crooked Multinomials Inequivalent to Power Functions [article]

Xueying Duan, Qichun Wang
<span title="2011-11-05">2011</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It is known that crooked functions can be used to construct many interesting combinatorial objects, and a quadratic function is crooked if and only if it is almost perfect nonlinear (APN).  ...  In this paper, we introduce two infinite classes of quadratic crooked multinomials on fields of order 2^2m.  ...  It has been proved that the only crooked power functions are the quadratic functions x 2 i +2 j with gcd(n, i − j) = 1 [24, 25] , and a binomial function ax i + bx j can be crooked only if both exponents  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1111.1328v1">arXiv:1111.1328v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cmc77vekcbc4bjtm2yzb2wpne4">fatcat:cmc77vekcbc4bjtm2yzb2wpne4</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1111.1328/1111.1328.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1111.1328v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Assessing Robustness of Intrinsic Tests of Independence in Two-Way Contingency Tables

George Casella, Elías Moreno
<span title="">2009</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/74tjf7abozfclcxg2wuphjfpba" style="color: black;">Journal of the American Statistical Association</a> </i> &nbsp;
This occurs if r corresponds to the fixed n i with the rows of the table being independent binomials, or in the 2 × 2 table with cell probabilities θ ij and table total n, r ∼ binomial(r|n, θ 11 + θ 12  ...  The Good-Crook probabilities are from Good and Crook (1987) . The uniform prior corresponds to the intrinsic prior with t = 0.  ...  Both the binomial and multinomial distributions satisfy the conditions in Theorem 2.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1198/jasa.2009.tm08106">doi:10.1198/jasa.2009.tm08106</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lztq5udgk5hm3gf45iz6lwwh7u">fatcat:lztq5udgk5hm3gf45iz6lwwh7u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20121018090859/http://www.stat.ufl.edu:80/~casella/Papers/Contingency2009.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/6b/09/6b092a5ba84fed01211f787ad73e8cab6516a543.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1198/jasa.2009.tm08106"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Page 157 of Annual Review of Phytopathology Vol. 15, Issue 8 [page]

<span title="">1925</span> <i title="Annual Reviews, Inc."> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_annual-review-of-phytopathology" style="color: black;">Annual Review of Phytopathology</a> </i> &nbsp;
Sporophores solitary or in groups of two or three, unbranched, often with a bend or crook, septate, brown, 40 to 80 4 in length.  ...  Apparently the cowpea parasite is an unde- scribed species and for it the binomial, Cladosporium vignae n. sp., is sug- gested. It is deseribed as follows: Cladosporium vignae n. sp.  ... 
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Retail credit stress testing using a discrete hazard model with macroeconomic factors

Tony Bellotti, Jonathan Crook
<span title="">2014</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fq4jrflj6zesjk7f4nb4otuwwy" style="color: black;">Journal of the Operational Research Society</a> </i> &nbsp;
The binomial test assumes independence between observations.  ...  Bellotti and Crook (2009) use a Cox Proportional Hazards survival model of time to default.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1057/jors.2013.91">doi:10.1057/jors.2013.91</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3w2vvqy3gbdvvezydhwxl4wgfe">fatcat:3w2vvqy3gbdvvezydhwxl4wgfe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190304130114/http://pdfs.semanticscholar.org/bdff/5a7b256a2eaca98057557d62b8a4c599650f.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bd/ff/bdff5a7b256a2eaca98057557d62b8a4c599650f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1057/jors.2013.91"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Perfect nonlinear binomials and their semifields

Zhengbang Zha, Gohar M. Kyureghyan, Xueli Wang
<span title="">2009</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vppj2ymhunarjnozole4nystdi" style="color: black;">Finite Fields and Their Applications</a> </i> &nbsp;
It is proven that for an appropriate choice of an integer s and α ∈ GF(p 3k ) the binomial x p s +1 − αx p k +p 2k+s defines a perfect nonlinear mapping in GF(p 3k ), which is not equivalent to a monomial  ...  Acknowledgments Jürgen Bierbrauer informed us that the APN binomials over GF (2 4k ) imply PN mappings as well.  ...  All currently known non-monomial APN mappings are of type i, j a ij x 2 i +2 j , and in particular crooked.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ffa.2008.09.002">doi:10.1016/j.ffa.2008.09.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ltwda5hphvgido5jyrc3e6tfha">fatcat:ltwda5hphvgido5jyrc3e6tfha</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190329173533/https://core.ac.uk/download/pdf/82755219.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9e/fb/9efbcb93d822e91a7b8e8a2cda7e3e600fa784ea.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ffa.2008.09.002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Page 65 of Journal of Chemical Education Vol. 36, Issue 2 [page]

<span title="">1959</span> <i title="American Chemical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_journal-of-chemical-education" style="color: black;">Journal of Chemical Education </a> </i> &nbsp;
Using a binomial formula, he calculated the probability as being 1 to 1097.8. R. J.  ...  Glasstone (5c) states that Crookes and Schiitzenberger in the 1880’s had ideas anticipatory of our isotopes.  ... 
<span class="external-identifiers"> </span>
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Page 419 of American Antiquity Vol. 22, Issue 4 [page]

<span title="">1957</span> <i title="Society for American Archaeology"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_american-antiquity" style="color: black;">American Antiquity </a> </i> &nbsp;
I propose, however, to emulate Ford (1951: 115-9) and Krieger (Newell and Krieger 1949: 161-73) by adopting Kelley's binomial system of projectile point nomenclature.  ...  0.1 Marksville Plain 96.1 87.5 8.0 78.1 82.5 83.0 Marksville Stamped 0.4 5.3 9.5 9.2 8.7 8.1 Marksville Incised 3.1 4.7 3.0 4.1 4.5 4.3 Marksville RI* 1.1 2.7 19 0.8 1.7 Marksville RF* . 0.2 0.1 0.1 Crooks  ... 
<span class="external-identifiers"> </span>
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Page 818 of The Journal of Applied Ecology Vol. 32, Issue 4 [page]

<span title="">1995</span> <i title="Blackwell Publishing Ltd."> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_journal-of-applied-ecology" style="color: black;">The Journal of Applied Ecology</a> </i> &nbsp;
Tree growth form was divided into four scales: (1) trunk straight without any crook; (2) trunk straight with 1 crook; (3) trunk less straight with crooks >1; and (4) trunk not straight with crooks >1.  ...  . * Authorities for Latin binomials are given in Table 1. Each plot consisted of a single line of five trees, with an intra-row spacing of 3 m and an inter-row spacing of 5 m.  ... 
<span class="external-identifiers"> </span>
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Page 648 of The American Mathematical Monthly Vol. 58, Issue 9 [page]

<span title="">1951</span> <i title="Mathematical Association Of America"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_american-mathematical-monthly" style="color: black;">The American Mathematical Monthly </a> </i> &nbsp;
Jones Consecutive powers and the form of binomial coefficients, by Paul Erdés Infinite abelian groups, by K. A.  ...  Britton Iteration of mappings of a metric space onto itself, by Albert Edrei Crooked dice, by D. Hawkins. The officers for the year were: President, B. Hunt; Secretary-Treasurer, R. G. Buschman. 648  ... 
<span class="external-identifiers"> </span>
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Choosing and Using Tools: Capuchins (Cebus apella) Use a Different Metric Than Tamarins (Saguinus oedipus)

Sarah E. Cummins-Sebree, Dorothy M. Fragaszy
<span title="">2005</span> <i title="American Psychological Association (APA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/eenvrnh6rrbv3otcq67763bxxq" style="color: black;">Journal of Comparative Psychology</a> </i> &nbsp;
of the crook) in full view of the monkey.  ...  ., inside the crook of the cane vs. outside the crook). They did not choose canes on the basis of familiarity, color, or texture.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1037/0735-7036.119.2.210">doi:10.1037/0735-7036.119.2.210</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/15982164">pmid:15982164</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gjismukpf5ehfdxjairydi45ea">fatcat:gjismukpf5ehfdxjairydi45ea</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812010523/http://psychology.uga.edu/sites/default/files/CVs/Cummins-Sebree%20%26%20Fragaszy_2005_Journal%20of%20Comparative%20Psychology.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c3/71/c371a69c3c9c4ad14495c9def60bbd7ba32f87aa.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1037/0735-7036.119.2.210"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials [article]

E. Byrne, G. McGuire
<span title="2008-10-24">2008</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We show that many quadratic binomial functions on a finite field of characteristic 2 are not APN infinitely often.  ...  This is of interest in the light of recent discoveries of new families of quadratic binomial APN functions. The proof uses the Weil bound from algebraic geometry.  ...  Crooked functions have connections with other combinatorial objects, such as distanceregular graphs [17, 18] . It is now known that all crooked monomials or binomials are quadratic [6, 30] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0810.4523v1">arXiv:0810.4523v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2oqebv5vune4ngeqzyoe6uxvqu">fatcat:2oqebv5vune4ngeqzyoe6uxvqu</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-0810.4523/0810.4523.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0810.4523v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Page 94 of The Journal of the Torrey Botanical Society Vol. 52, Issue 3 [page]

<span title="">1925</span> <i title="Torrey Botanical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_journal-of-the-torrey-botanical-society" style="color: black;">The Journal of the Torrey Botanical Society </a> </i> &nbsp;
In Centropogon and Siphocampylus the appendage may consist of a mass of soft crooked hairs, of a tuft of straight, stiff, erect hairs, or of similar hairs concrescent into a flat triangular scale.  ...  The former course is at variance with current usage and current taxonomic practice, and either of them would necessitate, if adopted, the alteration of scores of binomials, thereby adding permanently to  ... 
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Page 243 of Butterfly Vol. 2, Issue [page]

<span title="">1899</span> <i title="Out-of-copyright"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_butterfly" style="color: black;">Butterfly </a> </i> &nbsp;
Who wielded a crook in Shep- herdess Walk, Hoxton? What classical scholar devised the address “ Appian Road, Roman Road, Bow”? How does the one and only Fashion Street come to be in Spitalfields ?  ...  all Church Streets were really nearer to grace than High Streets—if all the members of the British Association lived in Oxford Street, while Cambridge Street, Pimlico, found its chief recreation in the Binomial  ... 
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A new APN function which is not equivalent to a power mapping

Y. Edel, G. Kyureghyan, A. Pott
<span title="">2006</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
Up to affine equivalence, the example in Theorem 2 is the only new APN binomial.  ...  Both examples are quadratic, which implies that the functions are crooked.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2005.862128">doi:10.1109/tit.2005.862128</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pegoo7xplza25hc52voywezfim">fatcat:pegoo7xplza25hc52voywezfim</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070624042846/http://www.mathi.uni-heidelberg.de/%7Eyves/Papers/apn.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/72/9c7276e7c7dcb5c08263f679ce9f68e4f3747726.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2005.862128"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>
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