1,271 research outputs found
Macmahon, A J, VX120127
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/400909Surname: MACMAHON. Given Name(s) or Initials: A J. Military Service Number or Last Known Location: VX120127. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 47780.220555
Item: [2016.0049.33202] "Macmahon, A J, VX120127
Macmahon, I, NX25781
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/400907Surname: MACMAHON. Given Name(s) or Initials: I. Military Service Number or Last Known Location: NX25781. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 16915.220553
Item: [2016.0049.33200] "Macmahon, I, NX25781
The quantum MacMahon Master Theorem
No full textWe state and prove a quantum-generalization of MacMahon's celebrated Master Theorem, and relate it to a quantum-generalization of the boson-fermion correspondence of Physics
Fiocchi De Macmahon, Annette, [No Service Number]
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/385124Surname: FIOCCHI DE MACMAHON. Given Name(s) or Initials: ANNETTE. Military Service Number or Last Known Location: [No Registration Number]. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 48332.230866
Item: [2016.0049.17417] "Fiocchi De Macmahon, Annette, [No Service Number]
Specializations of MacMahon symmetric functions and the polynomial algebra
No full textA MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the vector space of MacMahon symmetric functions found by the author to obtain their image under the principal specialization: the powers, rising and falling factorials. Then, we compute the connection coefficients of the different polynomial bases in a combinatorial way
A Fast Algorithm for MacMahon's Partition Analysis
No full textThis paper deals with evaluating constant terms of a special class of rational functions, the Elliott-rational functions. The constant term of such a function can be read off immediately from its partial fraction decomposition. We combine the theory of iterated Laurent series and a new algorithm for partial fraction decompositions to obtain a fast algorithm for MacMahon's Omega calculus, which (partially) avoids the "run-time explosion " problem when eliminating several variables. We discuss the efficiency of our algorithm by investigating problems studied by Andrews and his coauthors; our running time is much less than that of their Omega package
Certain infinite products in terms of MacMahon type series
No full textRecently, Ono and the third author discovered that the reciprocals of the theta series and have infinitely many closed formulas in terms of MacMahon\u27s quasimodular forms and . In this article, we use the well-known infinite product identities due to Jacobi, Watson, and Hirschhorn to derive further such closed formulas for reciprocals of other interesting infinite products. Moreover, with these formulas, we approximate these reciprocals to arbitrary order simply using MacMahon\u27s functions and {\it MacMahon type} functions. For example, let be the theta function corresponding to the odd quadratic character modulo . Then for any positive integer , we have where and .16 page
Researches at Uşaklı Höyük (Central Anatolian Plateau)
No full textUşaklı Höyük is located along the southern bank of the Egri Öz Dere not far from the city of Yozgat, on an undulating plain defined to the south by the Kerkenes Dağ. The site consists of a high mound and a large extended terrace with a low, slightly sloping base: the entire extension of the settlement is about 10 ha, while the central mound covers an area of 2 ha.
Evidence on the settlement pattern over a long duration and detailed information on the occupational sequence at the main site of the valley, have been collected in the first campaigns, between 2008 and 2011. The survey gives evidence of a sparse occupation of the area from the Chalcolithic BC to the medieval period, with an increase of settled sites during the Late Roman/Byzantine period. In the course of the 2nd millennium BC, occupation might have been concentrated only in the site of Uşaklı while in the surrounding land it might have been of a rather ephemeral and sparse nature.
Having accomplished the first phase of surface research using intensive surveying techniques (geomagnetic and geoelectric prospections; surface collecting) that highlighted the presence for large buildings and city walls, from 2012 we began a program of more invasive investigation of the site with focused operations of scraping on the steep slope of the high mound and stratigraphic excavations on the lower terrace and on the high mound. The intensive techniques adopted in the archaeological survey of Uşaklı Höyük allowed us to correlate the distribution of artifacts with the large structures detected under the surface by the geophysical prospection and locate both areas to be examined in details and excavation trenches according to the period to be investigated.
The fact that most of the Late Bronze Age and even earlier materials dating to the Middle Bronze Age period, were found on the outskirts of the terrace can substantiate the hypothesis of a significant settlement consisting of a lower town and an acropolis already during this older phase. The impressive architecture exposed in Area A in the course of the 2013 campaign and the fragments of cuneiform tablets found in recent years suggest the importance of the settlement at the end of 2nd millennium BC, at the time of the Hittite rule over the region.
This article will provide a summary of principal researches undertaken on the field and the main results achieved during the seven seasons of archaeological work
MacMahon's Partition Analysis VIII: Plane Partition Diamonds
No full textAnalysis as a computational method for solving combinatorial problems in connection with systems of linear diophantine inequalities and equations. However, MacMahon failed in his attempt to use his method for a satisfactory treatment of plane partitions. It is the object of this article to show that nevertheless Partition Analysis is of significant value when treating non-standard types of plane partitions. To this end “plane partition diamonds” are introduced. Applying Partition Analysis a simple closed form for the full generating function is derived. In the discovering process the Omega package developed by the authors has played a fundamental rôle
Plane Partitions I: A Generalization Of MacMahon's Formula
No full text. The number of plane partitions contained in a given box was shown by MacMahon [8] to be given by a simple product formula. By a simple bijection, this formula also enumerates lozenge tilings of hexagons of side-lengths a; b; c; a; b; c (in cyclic order) and angles of 120 degrees. We present a generalization in the case b = c by giving simple product formulas enumerating lozenge tilings of the regions obtained from a hexagon of side-lengths a; b + k; b; a + k; b; b + k (where k is an arbitrary non-negative integer) and angles of 120 degrees by removing certain triangular regions along its symmetry axis. 1. Introduction A plane partition is a rectangular array of nonnegative integers with the property that all rows and columns are weakly decreasing. A plane partition ß = (ß ij ) 0i!a;0j!b can be identified with its three dimensional diagram D ß = f(i; j; k) : 0 k ! ß ij g, and hence can be viewed as an order ideal of N 3 (an order ideal of a partially ordered set is a subset I su..
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