scholarly journals A unique pair of triangles

2019 ◽  
Vol 194 ◽  
pp. 297-302 ◽  
Author(s):  
Yoshinosuke Hirakawa ◽  
Hideki Matsumura
Keyword(s):  
2018 ◽  
Vol 140 (46) ◽  
pp. 15582-15585 ◽  
Author(s):  
Jinsong Chai ◽  
Sha Yang ◽  
Ying Lv ◽  
Tao Chen ◽  
Shuxin Wang ◽  
...  

2020 ◽  
Vol 6 ◽  
pp. 583-594 ◽  
Author(s):  
Yuri M. Marusik ◽  
Alexander A. Fomichev

A new genus, Platnickgen. n., with three new species, P. shablyaisp. n. (♂, type species), P. astanasp. n. (♀) and P. sangloksp. n. (♀), are described from Tajikistan. The male of the type species has a unique pair of longitudinal ventral postgastral scuta. Females have such scuta also, but they are much shorter. The new genus is placed in Liocranidae Simon, 1897. A discussion on the subfamilies of Liocranidae and comments on the family-group names are provided.


1989 ◽  
Vol 41 (4) ◽  
pp. 743-768 ◽  
Author(s):  
Christian Krattenthaler

Let be a pair of a formal series (fps) in z1 and z2 of the form where is an fps with for i = 1,2. Then there exists a unique pair of fps which is also of the form (1.1), with This pair is called the inverse of f(z1,z2 ).


2005 ◽  
Vol 44 (14) ◽  
pp. 2115-2119 ◽  
Author(s):  
Ramalingam Natarajan ◽  
Govardhan Savitha ◽  
Paulina Dominiak ◽  
Krzysztof Wozniak ◽  
J. Narasimha Moorthy

2010 ◽  
Vol 24 (12) ◽  
pp. 2971-2989 ◽  
Author(s):  
Muhammad Masood Ahmad ◽  
Abdul Razzaq Ghumman ◽  
Sajjad Ahmad ◽  
Hashim Nisar Hashmi

2005 ◽  
Vol 83 (1) ◽  
pp. 8-23 ◽  
Author(s):  
Edward E Ruppert

Four chordate characters — dorsal hollow nerve cord, notochord, gill slits, and endostyle — are compared morphologically, molecularly, and functionally with similar structures in hemichordates to assess their putative homologies. The dorsal hollow nerve cord and enteropneust neurocord are probably homoplasies. The neurocord (= collar cord) may be an autapomorphy of Enteropneusta that innervates a unique pair of muscles, the perihemal coelomic muscles. Despite the apparent lack of organ-level homology, chordates and enteropneusts share a common pattern of neurulation that preserves a "contact innervation" between neuro- and myo-epithelia, which may be the primitive deuterostome pattern of neuromuscular innervation. The chordate notochord and hemichordate stomochord are probably homoplasies. Other potential notochord antecedents in hemichordates are examined, but no clear homolog is identified. The comparative morphology of notochords suggests that the "stack-of-coins" developmental stage, retained into adulthood only by cephalochordates, is the plesiomorphic notochord form. Hemichordate and chordate gill slits are probably homologs, but only at the level of simple ciliated circular or oval pores, lacking a skeleton, as occur in adults of Cephalodiscus spp., developmentally in some enteropneusts, and in many urochordates. Functional morphology, I125-binding experiments, and genetic data suggest that endostylar function may reside in the entire pharyngeal lining of Enteropneusta and is not restricted to a specialized midline structure as in chordates. A cladistic analysis of Deuterostomia, based partly on homologs discussed in this paper, indicates a sister-taxon relationship between Urochordata and Vertebrata, with Cephalochordata as the plesiomorphic clade.


2017 ◽  
Vol 09 (02) ◽  
pp. 1750027
Author(s):  
Ali Behtoei ◽  
Akbar Davoodi ◽  
Mohsen Jannesari ◽  
Behnaz Omoomi

A set [Formula: see text] is called a resolving set, if for each pair of distinct vertices [Formula: see text] there exists [Formula: see text] such that [Formula: see text], where [Formula: see text] is the distance between vertices [Formula: see text] and [Formula: see text]. The cardinality of a minimum resolving set for [Formula: see text] is called the metric dimension of [Formula: see text] and is denoted by [Formula: see text]. A [Formula: see text]-tree is a chordal graph all of whose maximal cliques are the same size [Formula: see text] and all of whose minimal clique separators are also all the same size [Formula: see text]. A [Formula: see text]-path is a [Formula: see text]-tree with maximum degree [Formula: see text], where for each integer [Formula: see text], [Formula: see text], there exists a unique pair of vertices, [Formula: see text] and [Formula: see text], such that [Formula: see text]. In this paper, we prove that if [Formula: see text] is a [Formula: see text]-path, then [Formula: see text]. Moreover, we provide a characterization of all [Formula: see text]-trees with metric dimension two.


Author(s):  
L. M. Somova ◽  
N. G. Plekhova ◽  
E. I. Drobot ◽  
I. N. Lyapun

Novel data on mechanisms of innate immunity during infections with pathogenic Yersiniae are summarized in the review, that was mostly determined by complex developments regarding a unique pair of genetically related causative agents Y. pseudotuberculosis/Y. pestis. Our previous studies have revealed a morphological substrate of relative granulocyte immune deficiency that determines characteristic pathomorphologic features of pseudotuberculosis. To date, evidence has been obtained, that pathogenic for human Yersinia predominately activate protective function of innate immunity cells that is an important strategy to avoid elimination and cause the disease for the bacteria. Neutrophils (PMNs) play a fundamental role in response to infection by pathogenic Yersiniae in primary immune response and limit of primary spread of bacteria that use several mechanisms of eradication ofbacteria, e.g.: phagocytosis, oxidative stress, secretory degranulation, formation of neutrophil extracellular traps, efferocytosis. Infected PMNs can act as an intermediate host for consequent non-inflammatory infection of macrophages. Further elaboration of questions relating to primary anti-infection protection during Yersinia infections gives a key to understanding of immune pathogenesis of epidemic pseudotuberculosis (far Eastern scarlet-like fever) and yersiniosis in general.


1990 ◽  
Vol 27 (04) ◽  
pp. 815-827 ◽  
Author(s):  
J. M. Mcnamara ◽  
E. J. Collins

In the standard job search problem a single decision-maker (say an employer) has to choose from a sequence of candidates of varying fitness. We extend this formulation to allow both employers and candidates to make choices. We consider an infinite population of employers and an infinite population of candidates. Each employer interviews a (possibly infinite) sequence of candidates for a post and has the choice of whether or not to offer a candidate the post. Each candidate is interviewed by a (possibly infinite) sequence of employers and can accept or reject each offer. Each employer seeks to maximise the fitness of the candidate appointed and each candidate seeks to maximise the fitness of their eventual employer. We allow both discounting and/or a cost per interview. We find that there is a unique pair of policies (for employers and candidates respectively) which is in Nash equilibrium. Under these policies each population is partitioned into a finite or countable sequence of subpopulations, such that an employer (candidate) in a given subpopulation ends up matched with the first candidate (employer) encountered from the corresponding subpopulation. In some cases the number of non-empty subpopulations in the two populations will differ and some members of one population will never be matched.


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