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Theorem proving by analogy — A compelling example [chapter]

Erica Melis
1995 Lecture Notes in Computer Science  
t b Ä Q P S R P a ¹ ¶ ¤ T Ä X U ¶ Y T Ä Q P S R U T · H µ » a X U ¶ Å b µ a P t ¹ à º ¤ AE a Ç @ È É Ç 1 Ê Ë Í Ì Î r ¹ T Â Ä µ ¶ ¤ T Ä Q X 1 ¾ T ¹ ¡ ¾ P a ¹ Ä Q X U H p T R p Ä P a X Ä X U µ H Q X U ¶  ...  º a X ¿ R T ` S R p  a  b a X U X · H Q µ µ Á Ù b Ä Q X U · b µ Á Ä Q X ¦ b Q µ  H y R X · à H Q µ µ Á v Û Ì G ¶ · P a H P Ü R T ` P a ¹ X U b Ä Q P a º T Ä Q P a µ ¹ à b ¿ AE a Ç @ Õ Ë Í É µ À f X  ... 
doi:10.1007/3-540-60428-6_22 fatcat:fvxmpfvd3zcedpjktf7g46xody

Natural Philosophy and Quantum Theory [article]

Thomas Marlow
2006 arXiv   pre-print
We also present an analogy with Darwinian evolution in order to pedagogically hint at how one might go about using a theory in which one does not even desire to explain correlations by invoking common  ...  We attempt to show how relationalism might help in understanding Bell's theorem.  ...  Jaynes' work-he seemed to understand Bell's theorem even without the use of a convenient analogy.  ... 
arXiv:quant-ph/0608167v2 fatcat:voqruw5bkrdbrd6do5oft2jcaq

Recent Developments in Brill-Noether Theory [article]

David Jensen, Sam Payne
2021 arXiv   pre-print
Breakthroughs include the proof of the Maximal Rank Theorem, which determines the Hilbert function of the general linear series of given degree and rank on the general curve in M_g, and complete analogs  ...  of the standard Brill-Noether theorems for curves that are general in Hurwitz spaces.  ...  The first author was supported by NSF DMS-2054135. The second author was supported by NSF DMS-2001502 and DMS-2053261.  ... 
arXiv:2111.00351v1 fatcat:ianp7fc2yfau3nslehyrho4shm

Page 2149 of Mathematical Reviews Vol. , Issue 90D [page]

1990 Mathematical Reviews  
This second part is devoted to functions of three and more variables and gives a result analogous to that proved in the first part. A nontrivial example illustrating the method is given.  ...  The theorems require the existence of piecewise continuous auxiliary functions, called Lyapunov functions. The applicability of the results is illustrated by two examples.  ... 

Compelling Colorings: A generalization of the dominator chromatic number [article]

Anna Bachstein, Wayne Goddard, Michael A. Henning, John Xue
2021 arXiv   pre-print
We define a P-compelling coloring as a proper coloring of the vertices of a graph such that every subset consisting of one vertex of each color has property P.  ...  The P-compelling chromatic number is the minimum number of colors in such a coloring.  ...  Then the set D − {d} is still connected and still dominating, a contradiction. qed So we return to proving the lower bound for Theorem 17 and consider a compelling coloring.  ... 
arXiv:2105.03694v1 fatcat:umvadvovwnga5pl7kbjxset6se

Page 565 of American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers Vol. 79, Issue 3 [page]

1957 American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers  
It is possible, how- ever, to have somewhat less general theorems concerning mono- stability. An example of these is the theorem stated by Dr. Bass in connection with the system [Z,].  ...  The present wording (suggested by L. A. Zadeh) is motivated by analogous designations used in elec- trical engineering practice in connection with multivibrators.  ... 

Page 387 of None Vol. 69, Issue 1796 [page]

1890 None  
Napier’s analogies, Delambre’s analogies, Reidt’s analogies, Girard’s theorem, Lhuilier’s theorem, Breitschneider’s analogies, isotomic and isogonal conjugates and transversals, in- versions in space,  ...  By G. Chrystal, M.A., LL.D., Professor of Mathematics. Part II. Edinburgh: Black. Solutions of all the Examples in a Treatise on Algebra, By C.  ... 

Protecting Cryptography Against Compelled Self-Incrimination [article]

Sarah Scheffler, Mayank Varia
2020 IACR Cryptology ePrint Archive  
We justify our definition by showing that it is consistent with prior court cases. We prove that decryption is often not compellable by the government under our definition.  ...  As a result, we initiate the study of protecting cryptographic protocols against the threat of future compelled disclosure.  ...  This material is supported by a Clare Boothe Luce Graduate Research Fellowship, a Google PhD Fellowship, the DARPA SIEVE program under Agreement No.  ... 
dblp:journals/iacr/SchefflerV20 fatcat:wfixz43efbejrp5ixybzycw6kq

The Geometric Series in Calculus

George E. Andrews
1998 The American mathematical monthly  
One approach [2, p. 1621 is to use the Binomial Theorem without saying much save for a few examples. Not exactly convincing! Or should we prove the Binomial Theorem at this point? Probably not!  ...  We often hope to say compelling things about Riemann sums when we define However, when we try to compute examples of simple integrals with a uniform partition P of [a, b], we can wind up with expressions  ... 
doi:10.1080/00029890.1998.12004846 fatcat:2ewt666t2vbztobkaqouodqmna

X. On the properties of surfaces of the second degree which correspond to the theorems of Pascal and Brianchon on conic sections

George Salmon
1844 The London Edinburgh and Dublin Philosophical Magazine and Journal of Science  
Chasles~ for example, has assigned a different theorem as the one corresponding to Pascal's.  ...  The two theorems being connected by the theory of reciprocal polars, it is sufficient to prove one of them, and for the best analytical * I sacrificed nearly a score of rabbits for the purpose of determining  ... 
doi:10.1080/14786444408644799 fatcat:fatgybxprfezdeafoequ5qpgqm

The New Promise of Analog Computation [chapter]

José Félix Costa, Bruno Loff, Jerzy Mycka
2007 Lecture Notes in Computer Science  
we can prove theorems of Analysis.  ...  We show that, using our more or less established framework of inductive definition of real-valued functions (work started by Cristopher Moore in [9]) together with ideas and concepts of standard computability  ...  Acknowledgements We would like to thank Fernando Ferreira for having compelled us a bit further towards Descriptive Set Theory.  ... 
doi:10.1007/978-3-540-73001-9_20 fatcat:cg3xnv2vcjg5panxuiisjzwogm

Obligation, Permission, and Bayesian Orgulity

Michael Nielsen, Rush T. Stewart
2019 Ergo, An Open Access Journal of Philosophy  
A more compelling version of the Orgulity Argument than Cisewski et al. present is available, however-a point that we make by drawing an analogy with de Finetti's (1974) argument against mandating countable  ...  We extend Elga's (2016) idea of appealing to finitely additive probability to show that the challenge posed by the Orgulity Argument can be met.  ...  There are ways to define P directly, without appeal to extension theorems, for example, by letting P be point mass concentrated on some ω P C. 14.  ... 
doi:10.3998/ergo.12405314.0006.003 fatcat:rkrzk2wbpvf7lcf5ylwzrtiq3m

Page 377 of Mathematical Reviews Vol. , Issue 2001A [page]

2001 Mathematical Reviews  
As an example of one of the theorems, a tiling of a 3 x 3 square is exhibited consisting of 11 tiles similar to the L-shaped tile T formed by three unit squares.  ...  According to Cauchy’s theorem (1813), there is no flexible con- vex polyhedron. In 1977, R. Connelly found the first example of a flexible polyhedron without self-intersections.  ... 

On Gunther's stress functions for couple stresses

Donald E. Carlson
1967 Quarterly of Applied Mathematics  
'A Cosserat [1] continuum is an example of such a material.  ...  The following theorem, which provides a solution of Eqs. (5.1), may be confirmed by direct substitution. a and (?  ... 
doi:10.1090/qam/99904 fatcat:mqr4lzgjl5g3dmgzv5bsd6o2py

An impossibility theorem for amalgamating evidence

Jacob Stegenga
2011 Synthese  
I prove that this is so, and end by discussing the plausibility of the axioms required for the theorem.  ...  Once the analogy between amalgamating evidence and amalgamating preferences is tight, it is obvious that amalgamating evidence might face a theorem similar to Arrow's.  ...  To the extent that one finds the Independence axiom a generally compelling desideratum, one ought to be troubled by this example.  ... 
doi:10.1007/s11229-011-9973-x fatcat:pjsktrmbqrbovifmuiwgt64mji
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