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Using Small MUSes to Explain How to Solve Pen and Paper Puzzles [article]

Joan Espasa, Ian P. Gent, Ruth Hoffmann, Christopher Jefferson, Alice M. Lynch
2021 arXiv   pre-print
Pen and paper puzzles like Sudoku, Futoshiki and Skyscrapers are hugely popular. Solving such puzzles can be a trivial task for modern AI systems.  ...  We present Demystify, a tool which allows puzzles to be expressed in a high-level constraint programming language and uses MUSes to allow us to produce descriptions of steps in the puzzle solving.  ...  We demonstrate its usefulness and generality by producing descriptions of steps for many pen and paper puzzles.  ... 
arXiv:2104.15040v1 fatcat:2zurl6xqpvdrtapxr3zrerzrii

Inquiry learning for gender equity using History of Science in Life and Earth Sciences' learning environments

C. Sousa
2016 Multidisciplinary Journal for Education, Social and Technological Sciences  
My strategy includes features of science, such as: theory-laden nature of scientific knowledge, models, values and socio-scientific issues, technology contributes to science and feminism.  ...  a discontinuity within the nucleus, contributing to the current geophysical model.  ...  Acknowledgments Special thanks to the ones that inspired me. The views expressed in this paper are those of the author.  ... 
doi:10.4995/muse.2016.3762 fatcat:c233ttu76jdwxbol4beikmk6zu

Page 491 of Youth's Companion Vol. 101, Issue 29 [page]

1927 Youth's Companion  
It will be something to pass the time.” Sally was willing and found paper and pencils in the booth.  ...  “No, I have to stay here because of this valuable picture,” Sally explained.  ... 

Muonic Hydrogen and the Proton Radius Puzzle

Randolf Pohl, Ronald Gilman, Gerald A. Miller, Krzysztof Pachucki
2013 Annual Review of Nuclear and Particle Science  
This is the proton radius puzzle. The origins of the puzzle and the reasons for believing it to be very significant are explained.  ...  Various possible solutions of the puzzle are identified, and future work needed to resolve the puzzle is discussed.  ...  This uncertainty corresponds to ∼2 kHz for the 1S state, which is much too small to explain the discrepancy.  ... 
doi:10.1146/annurev-nucl-102212-170627 fatcat:zbnkr5d3lnh7pjdszy2xjwyxwu

Proving Theorems with Computers

Kevin Buzzard
2020 Notices of the American Mathematical Society  
In 1993 Wiles uses new techniques in commutative algebra to reduce a variant of this question to a numerical criterion, and a year later, aided by Taylor, he has pushed the strategy through.  ...  How is breakthrough mathematics achieved? Here is one example, from algebraic number theory.  ...  My first experience with sudoku was seeing levels of this game in newspapers, and solving them with a pen.  ... 
doi:10.1090/noti2177 fatcat:3r53txyf4rgnrkyfhfnxtlkarq

Seeing Outside the Box: Reexamining the Top of Samuel van Hoogstraten's London Perspective Box

Jun P. Nakamura
2020 Journal of Historians of Netherlandish Art  
(1996): 208-46. 4 I use the term "corrective" not in the sense that the image has a right and wrong way to view it, but in that it is a sort of puzzle that has a solution, and both the puzzle and its  ...  the lens to collapse wide views within a small frame was thus vital to its use as an artist's tool.  ... 
doi:10.5092/jhna.12.2.3 fatcat:nknft2aoobhr3oustnhiff7pjq

Incidents in Working on "Short-Title Catalogue"

William Warner Bishop
1950 Library quarterly  
Nothing appears in the British Museum Catalogue to aid in solving the puzzle, and the single Stock in the STC is one Richard. There was a St.  ...  Through long use of STC I have be- come able to run down rather quickly entries which have puzzled librarians of the contributing libraries.  ... 
doi:10.1086/617659 fatcat:jggbiotbgjh5re5uybzaejwt5i

Three Points of View for the Drawing Adoration of the Magi by Leonardo da Vinci

Fabrizio Ivan Apollonio, Riccardo Foschi, Marco Gaiani
2021 Heritage  
This analysis focuses on the architectural elements and highlights how the drawing discloses three distinct vanishing points/centers of vision: one for the classical architecture to the left of the scene  ...  des Arts Graphiques du Musée du Louvre in Paris, France.  ...  Acknowledgments: We thank Sabine Frommel, who encouraged us to study the drawing. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/heritage4030123 fatcat:biwanw4vf5a7tcxgmmyb2qqa4y

Page 93 of New York Mirror; A Weekly Gazette of Literature and the Fine Arts Vol. 11, Issue 12 [page]

1833 New York Mirror; A Weekly Gazette of Literature and the Fine Arts  
I have given you this criticism, from the pen of Dr. Godman, because whatever comes from his pen 1s interesting, and is likely to be just.  ...  It gives us emotion without permitting us to know why—it forces us to feel and think—it carries us beyond ourselves, vet the feelings it awakens are the worst of our nature, and the moral we impercept:  ... 

Measuring Masters and Masterpieces

David W. Galenson
2002 Histoire & Mesure  
Having solved one problem, Seurat then set out to solve another: « If...  ...  Matisses are held by the Musée National d'Art Moderne, and 25 illustrated Picassos are held in Paris by either the Musée National d'Art Moderne or the Musée Picasso.  ... 
doi:10.4000/histoiremesure.900 fatcat:kxrrhavciba73kpgqn7yo7zjiy

How East Asian classrooms may change over the next 20 years

Tak-Wai Chan
2010 Journal of Computer Assisted Learning  
In this position paper, I tried to explain why we are now at the onset of the digital classroom wave, why it will cause great changes in education and why those changes could not occur prior to the digital  ...  By proposing a series of conjectures, I described with some confidence how classrooms in Taiwan may change.  ...  As a provocative paper, the author does not expect that they agree on this paper in any extent, but does appreciate their reviews to help shape this paper so that it can be more useful to the reader.  ... 
doi:10.1111/j.1365-2729.2009.00342.x fatcat:kxsd6rje75epjbjtrl3ujq6qmu

TheInformationAge

Brian Hayes
1990 The Sciences  
And a copy of the Electric Pen cil, the word-processing program the au thor used to Create her works?  ...  Every few months I need to resurrect a document from some long-gone system, and I spend an exas perating hour puzzling over cryptic for matting commands that were once inti mately familiar.  ... 
doi:10.1002/j.2326-1951.1990.tb02246.x fatcat:cjweo3cvgvamlexbzpgkgcp3l4

Page 6 of New England Farmer, and Horticultural Register Vol. 66, Issue 5 [page]

1887 New England Farmer, and Horticultural Register  
saving | | first explained to him every day in the the name of heaven has that woman got in | week; be is not exposed to the temptation And we put it to improper use, for example, when we take a word  ...  Thou who teachest the young idea How to shoot, and spankest the erstwhile Festive small boy with a hand that taketh the trick ; Who also lammeth him with a hickory switch, And crowneth him by laying the  ... 

Penrose on What Scientists Know

Rubén Herce
2015 Foundations of Science  
It contributes to the perception of science as an open activity, as illustrated in Penrose's particular approach, and provides an interesting case-study that can contribute to understanding how epistemological  ...  This paper presents an analysis and critique of Roger Penrose's epistemological, methodological, and ontological positions.  ...  This paper can contribute to understanding how epistemological and ontological positions are connected with particular scientific practices.  ... 
doi:10.1007/s10699-015-9432-0 fatcat:qvjfhvjyvfh3dpeprxela7wvby

The Hand with the Pen: Martin of Loka, Matjaž Jurčič of Kapela and Herman Talner of Trebnje and their Colophons

Nataša Golob
2014 Ars & Humanitas  
Beginning with expressions such as ideographs, the author's autograph, and the copyist's autograph, this paper explains the dilemma of some Late Medieval Manuscripts in Slovenian collections that were  ...  Matjaž Jurčič of Kapela was probably a freelance artist, and the colophon to his copy of an epic poem contains an inscription in Latin, German and Provençal.  ...  Th e third colophon proclaims the exact time at which the fi nal full stop was made in the manuscript, by Herman(n) Talner of Trebnje, on September 29 th , 1456, and that the book belongs to the noble  ... 
doi:10.4312/ah.8.2.87-118 fatcat:z2qdvwh3mbfwdkihsl3n7zyg7e
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