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INVERTED DISTANCE AND INVERTED WIENER INDEX
Advances and Applications in Discrete Mathematics, 2016The Wiener index is the sum of distances between all pairs of vertices of a (connected) graph. In this paper, we define two novel graph invariants: the inverted distance and the inverted Wiener index. The inverted distance between any two different vertices u and v of a simple connected graph G is defined as: i(u, v) = D - d(u, v) + 1, where D denotes ...
Cancan, Murat, Ediz, Süleyman
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Applied Categorical Structures, 2009
The review partly uses the authors' abstract. As the authors notice, monoidal objects (pseudomonoids) in monoidal bicategories share many properties with monoidal categories. The existence of (left or right) duals in monoidal categories permits to define dualization operations; a related definition was suggested for monoidal objects by \textit{B.
Ignacio López Franco +2 more
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The review partly uses the authors' abstract. As the authors notice, monoidal objects (pseudomonoids) in monoidal bicategories share many properties with monoidal categories. The existence of (left or right) duals in monoidal categories permits to define dualization operations; a related definition was suggested for monoidal objects by \textit{B.
Ignacio López Franco +2 more
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The Bulletin of Symbolic Logic, 2014
AbstractLeonid Levin showed that every algorithm computing a function has an optimal inverter. Recently, we applied his result in various contexts: existence of optimal acceptors, existence of hard sequences for algorithms and proof systems, proofs of Gödel’s incompleteness theorems, analysis of the complexity of the clique problem assuming the ...
Yijia Chen 0001, Jörg Flum
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AbstractLeonid Levin showed that every algorithm computing a function has an optimal inverter. Recently, we applied his result in various contexts: existence of optimal acceptors, existence of hard sequences for algorithms and proof systems, proofs of Gödel’s incompleteness theorems, analysis of the complexity of the clique problem assuming the ...
Yijia Chen 0001, Jörg Flum
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The Arithmetic Teacher, 1963
The teaching of the division of fractions has been and continucs to he a conccm of Leachcrs and wri ters in Lhc field of teaching arit hmctic. Should children merely be told to in vert nnd multiply, or should Lhey divide by the common-denominator method, or would some other method better promote learning?
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The teaching of the division of fractions has been and continucs to he a conccm of Leachcrs and wri ters in Lhc field of teaching arit hmctic. Should children merely be told to in vert nnd multiply, or should Lhey divide by the common-denominator method, or would some other method better promote learning?
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Unilaterally Invertible Normals are Invertible
The Quarterly Journal of Mathematics, 2001Let \(A\) be a complex unital Banach algebra with unit. An element of \(A\) is hermitian if it has real spatial numerical range when considered as an operator in \(\mathcal L(A)\). An element \(r\) is called normal if there are two hermitian elements \(s, t\) of \(A\) such that \(st = ts\) and \(r = s + it.\) It is shown that every normal element of ...
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Inverting non-invertible labeled trees [PDF]
Australas. J Comb., 2019 Summary: If a graph with non-zero edge weights has a non-singular adjacency matrix, one may use the inverse matrix to define a (weighted) graph that may be viewed as the inverse graph to the original one. It has been known that an adjacency matrix of a weighted tree is non-singular if and only if the tree has a unique perfect matching.
Sona Pavlíková, Jozef Sirán
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Plastic and Reconstructive Surgery, 1980
A method of correction of inverted nipples is presented, which appears to be simple, safe, and effective, leaving little scarring.
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A method of correction of inverted nipples is presented, which appears to be simple, safe, and effective, leaving little scarring.
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The Mathematical Gazette, 1956
The problem of the “tippe-top” has been discussed in several papers, one by Synge makes the assumption of rolling and discovers instability when the axis is vertical with the peg up, but requires as a necessary condition that the top be not a solid of revolution. Since it appears that as far as is constructionally possible the top is axially symmetric,
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The problem of the “tippe-top” has been discussed in several papers, one by Synge makes the assumption of rolling and discovers instability when the axis is vertical with the peg up, but requires as a necessary condition that the top be not a solid of revolution. Since it appears that as far as is constructionally possible the top is axially symmetric,
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