On a Conjecture of Hanna Connecting Distinct Part and Complete Partitions

2020 ◽  
Vol 24 (2) ◽  
pp. 217-224
Author(s):  
George E. Andrews ◽  
George Beck ◽  
Brian Hopkins
Keyword(s):  
2016 ◽  
Vol 64 ◽  
pp. 57-67
Author(s):  
Emilie Grønbæk Springer ◽  
Jan Audun Rasmussen ◽  
Lars Stemmerik ◽  
Jan Audun Rasmussen

In this study, the distribution of benthic foraminifers across a Danian bryozoan mound in Karlstrup quarry, Denmark, is analysed in 22 samples using multivariate analysis. Three foraminiferal biofacies are established, each representing a distinct part of the mound. The Anomalinoides-Cibicides- Osangularia Biofacies is characteristic of the relatively pure carbonate sediments on the crest and flanks of the bryozoan mound. The Patellina Biofacies occurs at the mound flanks and is particularly common in marly sediments. The Spirillina Biofacies characterises the crest of the bryozoan mound in both marly and pure carbonate sediments. Variations in the plankton/benthos ratio indicate that the benthic foraminifers prefer the marly sediments to pure limestone and mound flanks relative to the mound top. It is likely that the benthic foraminifers avoided the more powerful currents at the mound crest. The common occurrence of spirillinids on the mound top may represent the remnant of a rich, siliceous sponge community.


Author(s):  
Ehsan Najafi ◽  
Amin Mirzaei ◽  
Mahdi Mahdi Rezvanyvardom ◽  
Mahdi Zolfaghar

PV plants are increasing all over the world and they are becoming a distinct part of electric grids. Due to abundance of solar irradiation and almost constant amount of it in certain geographical latitudes, selection of proper capacity of PV plants depends mostly on available places for the site. in this paper, important measures for safe connection of a PV plant in terms of voltage requirements are addressed and several guidelines are introduced for this purpose. In addition, simulation results are included to prove some of the mentioned suggestions. a general algorithm is finally proposed to show the directions for safe connection of PV plants.


Author(s):  
Vital Zajka

This chapter examines the Lithuanian–Belarusian Jewry in the eighteenth and nineteenth centuries. From the earliest times of their settlement in the easternmost Slavonic and Baltic territories, the Jews have been aware of their special status, first as discoverers of lands beyond the limits of the Jewish world of that time, and then as a distinct part of that world. Potential economic and social opportunities and freedom of religious practice and self-government, combined with the benevolence of rulers and the relative tolerance of the surrounding population, gave rise to the distinctiveness of Lithuanian–Belarusian Jews in relation to the rest of Ashkenaz. The term ‘Lithuanian–Belarusian Jewry’ refers to the Jews who lived in the Grand Duchy of Lithuania, including the protectorate of Kurland, after the Union of Lublin in 1569. In Yiddish, the land was referred to as ‘Liteh’ and its Jews referred to themselves as ‘Litvaks’. Jewish Liteh also included the region of Podlasie that became a part of the Polish crown territories (the ethnically Polish part of the Commonwealth) as a result of the Union of Lublin.


Zootaxa ◽  
2020 ◽  
Vol 4747 (1) ◽  
pp. 133-155
Author(s):  
ALLEN F. SANBORN ◽  
DAVID C. MARSHALL ◽  
MAXWELL S. MOULDS ◽  
STÉPHANE PUISSANT ◽  
CHRIS SIMON

A recent paper by Ruschel & Campos (2019) on “leaf-winged” cicadas proposed a significant reorganization of the cicada tribe Hemidictyini Distant, 1905g, including synonymization of the monogeneric tribe Lacetasini Moulds & Marshall, 2018 following the results of a cladistic parsimony analysis of morphological characters. In this study, we reconsider and revise the morphological analysis of Ruschel & Campos and obtain new genetic data for Hemidictya. We find that their study suffers from a limited taxon sample, inappropriate outgroup selection, and misinterpretation of genitalic characters (uncus vs. claspers). We show that Hemidictyini sensu Ruschel & Campos includes members of multiple tribes and subfamilies, and we conclude that some of the taxonomic transfers by Ruschel & Campos are not supported. The two most similar and leaf-like cicadas, Hemidictya Burmeister, 1835 (South America) and Hovana Distant, 1905g (Madagascar), are probably not closely related but rather an excellent example of convergent evolution. Lacetasini is not a junior synonym of the Hemidictyini but a distinct part of the Tettigomyiinae Distant, 1905g as originally classified. We return or transfer the genera Lacetas Karsch, 1890, Iruana Distant, 1905g, Bafutalna Boulard, 1993, and Murphyalna Boulard, 2012 to the Lacetasini. With the transfer of all genera of Iruanina Boulard, 1993 and Bafutalnina Boulard, 1993 to Lacetasini and with Lacetas transferred to the Iruanina, Lacetasini n. syn. becomes a subjective junior synonym of Iruanini rev. stat. in the Tettigomyiinae. We assign Hovana to Hovanini n. tribe in the Tettigomyiinae and Sapantanga Distant, 1905g to Sapantangini n. tribe in the Tibicininae Distant, 1905b. We propose that Hemidictyini sensu novo contains only the genus Hemidictya and we assign the tribe to Tibicininae with a revised diagnosis. 


In his recent paper, ‘Newton’s Optical Aether’ (i), Professor Guerlac has uncovered much of interest in explanation of the format of the second English edition of the Opticks . That Newton intended that there should be a ‘Part II’ to the third book of the Opticks , seems now to be irrevocably proved, as also is the fact that the contents of this part were to include some of the electrostatic experiments of Hauksbee. It has previously been Professor Guerlac’s contention that these experiments of Hauksbee’s formed a distinct part in a revival of Newton’s belief in an aetherial medium (2), and in this recent paper he further suggests that for more, ‘persuasive experimental confirmation’ of the aether hypothesis, Newton devised the ‘two-thermometer experiment’ (3). I should like to suggest, and later in this paper to expound, that Newton’s interest in Hauksbee’s experiments, which were mostly performed between the years 1705-1712 (4), was related to a general interest in electrical phenomena and a specific interest in the attractive and repulsive forces exerted between the smallest particles of matter. Initially, however, there are other points which deserve of further consideration.


2008 ◽  
Vol 17 (4) ◽  
pp. 495-509 ◽  
Author(s):  
CHARLOTTE BRENNAN ◽  
ARNOLD KNOPFMACHER ◽  
STEPHAN WAGNER

A partition of a positive integer n is a finite sequence of positive integers a1, a2, . . ., ak such that a1+a2+ċ ċ ċ+ak=n and ai+1 ≥ ai for all i. Let d be a fixed positive integer. We say that we have an ascent of size d or more if ai+1 ≥ ai+d.We determine the mean, the variance and the limiting distribution of the number of ascents of size d or more (equivalently, the number of distinct part sizes of multiplicity d or more) in the partitions of n.


1999 ◽  
Vol 11 (2) ◽  
pp. 165-170 ◽  
Author(s):  
Joo-Ho Lee ◽  
◽  
Noriaki Ando ◽  
Hideki Hashimoto

We propose a concept for constructing an intelligent mobile system, stating why a new mobile architecture is needed in intelligent space. Intelligent space is expected to be an authentic future environment. Intelligent space is a room or area with sensors, a network, and computers. If the environment gets intelligence, it is no long a distinct part of an intelligent mobile system and the mobile system becomes a physical agent of intelligent space. Our experiments show what is possible for a mobile robot in intelligent space.


2000 ◽  
Vol 9 (6) ◽  
pp. 519-527 ◽  
Author(s):  
P. HITCZENKO ◽  
G. STENGLE

An asymptotics, as n → ∞, for the expected number of distinct part sizes in a random composition of an integer n is obtained.


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