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Implikasies van die oesindeks by navorsing verbouing van mielies
Item type: Journal Article • Journal: South African Journal of Plant and Soil • Authors: P.S. Hammes --- Departement Plantproduksie, R.E. Steynberg --- Departement Plantproduksie, E.A. Beyers --- Departement Plantproduksie, B. Kriel --- Departement Plantproduksie,Die oesindeks van mielies is bepaal in vier veldproewe. Verskille tussen mieliekultivars het voorgekom. Kultivars wat hoë graanopbrengste gelewer het in 'n kultivarproef, het ook deurgaans hoë oesindekswaardes gehad. In 'n langtermyn- bemestingsproef het behandelings wat kalium ontvang het, hoër... -
Effects of plant population density and cultivar on growth, yield and yield components in groundnut (Arachis hypogaea 1.)
Item type: Journal Article • Journal: South African Journal of Plant and Soil • Authors: A. J.P. Tarimo --- Department of Crop Science and Production, Tanzania F.P. Blarney --- Department of Agriculture, AustraliaAn experiment was conducted at the University of Queensland Redland bay Farm (27°37′ S, 153°17′ E) in southeast Queensland, Australia to study response of groundnut cultivars [Improved Virginia Bunch, NC-7, Q18801 (Virginia types), TMV-2, McCubbin and Red Spanish (Spanish types)]... -
Effect of planting density on dry matter partitioning in young ‘Laetitia’ / ‘Marianna’ plum trees grown in lysimeter tanks
Item type: Journal Article • Journal: South African Journal of Plant and Soil • Authors: J. Wooldridge --- , Republic of South Africa C. Schutte --- , Republic of South AfricaThe effects of increasing planting density on young lysimeter tank-grown plum trees were investigated. Seasonal increases in stem circumference, and average shoot lengths, decreased significantly (P = 0.05) as the number of trees per 1.4 × 3.0 m tank increased... -
On Rademacher's Conjecture and A Recurrence Relation of Euler
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Morley Davidson StephenM. GagolaWe consider a connection between Rademacher's conjectural partial fraction decomposition for the reciprocal of Dedekind's eta function and Euler's recurrence relation for the partition function. An identity for coefficients attached to cyclotomic characteristic roots of this recurrence is obtained under... -
Some Consequences of An Identity Of B. Gordon
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Neville RobbinsUsing some consequences of the quintuple product identity, we obtain the identity: -
Binary Partitions in the Absence of Choice or Rearranging Russell's Socks
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Horst HerrlichGiven a sequence (Xn )n∈N of pairwise disjoint 2-element sets. Can ∪ n∈N Xn be rearranged as a union ∪ i∈I Yi of a family (Yi )i∈I of pairwise disjoint 2-element sets, indexed by an uncountable set I? It... -
Almost Perfectly Continuous Functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: D. Singh --- Department of Mathematics, IndiaThe aim of the present paper is to continue the study of almost perfectly continuous (≡ regular set connected) functions initiated by Dontchev, Ganster and Reilly. It turns out that in general the notion of almost perfectly continuity is independent... -
Coarse root–shoot allometry of Pinus radiata modified by site conditions in the Western Cape province of South Africa
Item type: Journal Article • Journal: Southern Forests: a Journal of Forest Science • Authors: H Pretzsch --- Chair for Forest Growth and Yield, Germany P Biber --- Chair for Forest Growth and Yield, Germany E Uhl --- Chair for Forest Growth and Yield, Germany P Hense --- Chair for Forest Growth and Yield, GermanyThe relationship between root and shoot growth and how it is modified by chronic or episodic drought stress is so far not well understood. Allometric partitioning theory (APT) supposes a constant root–shoot allometry. Optimal partitioning theory (OPT) assumes that plants’... -
Precipitation partitioning in a diverse stand and a monospecific stand of regenerating forest in eastern China
Item type: Journal Article • Journal: Southern Forests: a Journal of Forest Science • Authors: Huitao Shen --- Key Laboratory of Agricultural Water Resources, Center for Agricultural Resources Research, Institute of Genetics and Developmental Biology, China Wenhui You --- Department of Environment Science, China Xiaoxue Wang --- State Key Laboratory of Urban and Regional Ecology, Research Center for Eco-Environmental Sciences, ChinaBetween 1 March and 31 October 2009, total precipitation, throughfall, stemflow and canopy interception losses were measured in two stands of secondary evergreen broadleaf forests, one a diverse vegetation stand and the other a monospecific stand dominated by Schima superba... -
On the Placement of a Number of Strings in a Collection of Hats
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A.P. Burger J.H. van VuurenThe following problem is considered in this paper: Suppose k strings of unit length are to be distributed amongst x hats. If cuts in the strings are allowed, how should the string (parts) be distributed amongst the hats so that,... -
A Characterization of Graphs with Disjoint Dominating and Total Dominating Sets
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: MichaelA. Henning Justin SoutheyA dominating set of a graph is a set of vertices such that every vertex not in the set is adjacent to a vertex in the set, while a total dominating set of a graph is a set of vertices... -
Graph Compositions and Flats of Cycle Matroids
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Eunice Mphako-Banda --- School of Mathematics, RSAWe give an alternative method for counting the number of graph compositions of any graph G. In particular we show that counting the number of graph compositions of a graph G is equivalent to counting the number of flats of... -
Landscape, complicity and partitioned zones at South Africa Forest and Lubya in Israel-Palestine
Item type: Journal Article • Journal: Anthropology Southern Africa • Authors: Heidi Grunebaum --- Centre for Humanities Research, South AfricaIn the historical and ideological contests of settler colonial conquest, the making of “landscape” out of land and territory is a powerful instrument in the visual and discursive constructions of nationalist perspectives. This article examines one such site, the Jewish... -
Competition and niche partitioning in a floodplain ecosystem: a cladoceran community squeezed between fish and invertebrate predation
Item type: Journal Article • Journal: African Zoology • Authors: Markus Lindholm --- Department of Biology, Norway Dag Olav Hessen --- Department of Biology, NorwaySeasonal floodplains occasionally comprise highly productive zooplankton communities which are exposed to rapid shifts in predator regimes, also between vertebrate and invertebrate predators.We recorded the impact of two co-occurring zooplankton predators, the notonectid Anisops sardea and 0+ fish fry of... -
Faecal analysis suggests generalist diets in three species of Western Cape cordylids
Item type: Journal Article • Journal: African Zoology • Authors: S. Clusella-Trullas --- Department of Botany and Zoology, South Africa A. Botes --- Department of Botany and Zoology, South AfricaClimate has been proposed as an explanation for the present-day distribution of closely-related melanistic and non-melanistic cordylid species in the southwestern Cape of South Africa. However, diet may also contribute towards shaping geographic distributions. We present preliminary data on diet... -
Habitat preferences of three sympatric lacertid lizards in the arid Tankwa Karoo Basin of South Africa
Item type: Journal Article • Journal: African Zoology • Authors: I. J. du Plessis --- Department of Botany and Zoology, South Africa P. le F. N. Mouton --- Department of Botany and Zoology, South AfricaFour lacertid lizards, Pedioplanis laticeps, P. lineo-ocellata, Meroles knoxii and Nucras tessellata, occur sympatrically on the arid plains of the Tankwa Karoo Basin in South Africa. The aim of this study was to determine whether the four species are spatially... -
Foraging strategies of coexisting lacertid lizards in the arid Tankwa Karoo Basin of South Africa
Item type: Journal Article • Journal: African Zoology • Authors: I.J. du Plessis --- Department of Botany and Zoology, South Africa P. le F.N. Mouton --- Department of Botany and Zoology, South AfricaFour lacertid lizards, Pedioplanis laticeps, P. lineo-ocellata, Meroles knoxii and Nucras tessellata, occur sympatrically on the arid plains of the Tankwa Karoo Basin in South Africa. The aim of this study was to evaluate the significance of foraging strategy in... -
Invertebrates or iron: does large-scale opencast mining impact invertebrate diversity in ephemeral wetlands?
Item type: Journal Article • Journal: African Zoology • Authors: Falko T. Buschke --- Centre for Environmental Management (67), University of the Free State, South Africa Joan Adendorff --- Centre for Environmental Management (67), University of the Free State, South Africa Jaco Lamprechts --- Kolomela Iron Mine, South Africa Marie Watson --- Centre for Environmental Management (67), University of the Free State, South Africa Maitland T. Seaman --- Centre for Environmental Management (67), University of the Free State, South AfricaDisturbance has been offered as an explanatory mechanism in structuring the variation of species across a landscape. In this study, we investigated the effect of the impact by Kolomela Iron Mine on the variation of species occurring in temporary pans... -
Diet and gill morphology of the East Coast redeye round herring Etrumeus wongratanai off KwaZulu-Natal, South Africa
Item type: Journal Article • Journal: African Journal of Marine Science • Authors: LD Vorsatz --- Department of Biodiversity and Conservation Biology, South Africa CD van der Lingen --- Branch: Fisheries Management, Department of Agriculture, South Africa MJ Gibbons --- Department of Biodiversity and Conservation Biology, South AfricaStomach content analyses and measurements of gillraker morphology were used to assess the diet and feeding ecology of the East Coast redeye round herring Etrumeus wongratanai and provide data for comparisons with other small pelagic fishes off South Africa. Samples... -
The number of symmetric colorings of the dihedral group D3
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Iryna Kashuba --- Institute of Mathematics, University of S̃ao Paulo, Brazil Yuliya Zelenyuk --- School of Mathematics, South AfricaWe compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group D3. -
Comparative perch selection in Southern Fiscal Lanius collaris and Fiscal Flycatcher Sigelus silens at Amakhala Game Reserve, South Africa
Item type: Journal Article • Journal: Ostrich: Journal of African Ornithology • Authors: Ryan J Daniels --- Department of Zoology and Entomology, South Africa Patrick E Hulley --- Department of Zoology and Entomology, South Africa Adrian JFK Craig --- Department of Zoology and Entomology, South AfricaThe Southern Fiscal Lanius collaris and the Fiscal Flycatcher Sigelus silens are common, widespread and sympatric in much of southern Africa. They are similar in plumage and ecology, which may predispose them to competition and interspecific territorial aggression but this... -
Evidence for diet partitioning among three coexisting native freshwater fishes in South Africa's Cape Fold Ecoregion
Item type: Journal Article • Journal: African Journal of Aquatic Science • Authors: JM Shelton --- Freshwater Research Centre (FRC), South Africa MS Bird --- Department of Zoology, South Africa SM Marr --- South African Institute for Aquatic Biodiversity (SAIAB), South AfricaThe partitioning of limited resources commonly explains how different species can coexist within the same ecological community. In this 2010 study, the diets of three coexisting freshwater fishes (Cape galaxias Galaxias zebratus, n = 27; Cape kurper Sandelia capensis, n... -
Comparative trophic ecology of Cape anchovy Engraulis encrasicolus and Natal anchovy Stolephorus holodon off South Africa’s east coast
Item type: Journal Article • Journal: African Journal of Marine Science • Authors: M Horton --- Department of Biological Sciences, South Africa CD van der Lingen --- Department of Biological Sciences, South AfricaThe distributional ranges of Cape anchovy Engraulis encrasicolus and Natal anchovy Stolephorus holodon presently overlap at their eastern and western extremes, respectively, off South Africa’s east coast. These species might become more strongly sympatric as a consequence of changed distributions... -
Temporal partitioning of diurnal bird and nocturnal small mammal visitors to a winter flowering endemic succulent
Item type: Journal Article • Journal: African Zoology • Authors: Stephanie L Payne --- , South Africa Craig T Symes --- , South Africa Ed TF Witkowski --- , South AfricaFloral nectar is an important attractant and reward for visitors, and is often produced in synchrony with peak activity of pollinators. Aloe peglerae flowers in winter, and previous studies have shown that it is pollinated primarily by diurnal generalist birds,... -
Correlation of variations in species abundance of Atlantic forests regenerating on abandoned pastures with different environmental and spatial variables
Item type: Journal Article • Journal: Southern Forests: a Journal of Forest Science • Authors: João Paulo de Maçaneiro --- , Brazil Laio Zimermann Oliveira --- , Brazil Lauri Amândio Schorn --- , Brazil Franklin Galvão --- , Brazil Guilherme Salgado Grittz --- , Brazil André Luís de Gasper --- , BrazilThe conversion of native forests into pastures is still a common practice in Brazil. Abandoned pastures have great potential for natural regeneration and therefore could play an important role in meeting the enormous demand for forest restoration. Few studies, however,... -
On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mircea Merca --- University of Craiova, RomaniaLet denote the number of overpartitions of n into odd parts. In this paper, we provide a complete characterization of Ramanujan-type congruences modulo 8 for the overpartition function considering the number of odd positive divisors of and the relations of... -
New parity results for 3-regular partitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Olivia X.M. Yao --- Suzhou University of Science and Technology, P.R. ChinaLet bt (n) count the number of t-regular partitions of n. In recent years, congruence properties of bt (n) have received a lot of attention and a number of infinite families of congruences modulo 2 for bt (n) have been... -
Compression with wildcards: Abstract simplicial complexes
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Marcel Wild --- Stellenbosch University, SADespite the more handy terminology of abstract simplicial complexes , in its core this article is about antitone Boolean functions. Given the maximal faces (=facets) of , our main algorithm, called Facets-To-Faces, outputs in a compressed format. The degree of... -
4-regular partitions and the pod function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Cristina Ballantine --- , USA Mircea Merca --- University Politehnica of Bucharest, RomaniaThe function pod(n) enumerates the partitions of n wherein odd parts are distinct and even parts are unrestricted. Recently, a number of properties for pod(n) have been established. In this paper, we use connections with 4-regular partitions and, for fixed... -
Linear inequalities concerning the sum of the distinct parts congruent to r modulo m in all the partitions of n
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mircea Merca --- University Politehnica of Bucharest, RomaniaWe investigate the sum of the parts congruent to r modulo m counted without multiplicity in all the partitions of n. Considering truncated theta series, we introduce a collection of infinite families of linear inequalities involving this sum. We provide... -
Congruences modulo powers of 5 for the crank parity function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dazhao Tang --- Chongqing Normal University, P.R. ChinaIn 1988, Andrews and Garvan introduced the partition statistic “crank” in order to give combinatorial interpretation for Ramanujan’s celebrated partition congruence modulo 11. In 2009, Choi, Kang and Lovejoy established congruences modulo powers of 5 for the crank parity function... -
Space and spatially structured environmental variables account for variation in blackfly and mayfly communities in sub-tropical South African rivers
Item type: Journal Article • Journal: African Journal of Aquatic Science • Authors: PA Ramulifho --- University of South Africa, South Africa SH Foord --- University of Venda, South Africa NA Rivers-Moore --- University of KwaZulu-Natal, South AfricaUsing aquatic invertebrate assemblages for bioassessment of streams and rivers is a fast and cost-effective approach to studying the impact of environmental stressors in aquatic ecosystems. The use of aquatic invertebrates is premised on their predictable responses to environmental stressors... -
Proofs of three conjectured internal congruences modulo 32 for Schur-type overpartitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Weifeng Gao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. China Olivia X.M. Yao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. ChinaLet S(n) denote the number of overpartitions of Schur-type. Recently, Chern, da Silva and Sellers proved many congruences modulo 8 and 16 for S(n). At the end of their paper, they also posed a conjecture on internal congruences modulo 32... -
Interior vertices and edges in integer partitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Aubrey Blecher --- University of the Witwatersrand, South Africa Charlotte Brennan --- University of the Witwatersrand, South Africa Arnold Knopfmacher --- University of the Witwatersrand, South Africa Toufik Mansour --- University of Haifa, IsraelThis paper characterises the shape of the Young diagram associated with integer partitions in terms of two newly invented statistics which are defined in the text: namely interior vertices and horizontal edges. Generating functions and associated asymptotic results are developed... -
Congruences modulo powers of 5 for partitions into odd and distinct parts
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dazhao Tang --- Chongqing Normal University, P.R. ChinaLet Q 0(n) denote the number of partitions of n into odd and distinct parts. In 1969, Rødseth proved an infinite family of congruences modulo high powers of 5 for Q 0(n) by employing the theory of modular forms. In... -
Further arithmetic properties of Andrews’ integer partitions with even parts below odd parts
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Abhishek Sarma --- Tezpur University, IndiaIn 2018, Andrews introduced the partition function , which counts the number of partitions of a positive integer n where each even part is less than each odd part. Furthermore, he defined another class of partitions, namely which counts the... -
Congruences modulo powers of 5 for 5 k -regular bipartitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Zhuohang Chen --- Chongqing Normal University, P.R. China Dazhao Tang --- Chongqing Normal University, P.R. ChinaLet B ℓ(n) denote the number of ℓ-regular bipartitions of n. In this paper, we investigate congruence properties of B 5k (n) modulo high powers of 5. By deriving the exact generating functions of specific arithmetic progressions in B 5k...