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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 65 (1982), S. 123-131 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Übersicht Dise Arbeit untersucht die Bestandteile der Spektralbereichsmethode, nämlich Fouriertransformation, Momentenmethode und Parsevalschen Satz. Durch die Benutzung der in einer früheren Arbeit aufgestellten Sätze über die asymptotische Entwicklung von Fourierintegralen wird die Kantenbedingungsäquivalente im Spektralbereich direkt hergeleitet. Einige Wellenleiterstrukturen werden als Anwendungsbeispiele dieser Resultate diskutiert. Ferner wird darauf hingewiesen, daß bei Kantenkonfigurationen der Skalarproduktprozeß im Orts- sowie im Spektralbereich im konventionellen Sinne nicht richtig sein kann, und daß man dabei eine auf solche Fälle anwendbare Version des Parsevalschen Satzes benötigt. Eine Version dieser Art wird angegeben. Einige allgemeine Eigenschaften dieser Methode werden diskutiert.
    Notes: Contents This paper examines the constituents of the spectral domain method, namely Fourier transformation, moment method and Parseval's theorem. By using the theorems regarding the asymptotic expansion of Fourier integrals proposed in a previous paper, edge condition equivalent in the spectral domain is deduced directly. Some waveguide structures are discussed as application examples of these results. It is also indicated that, for edge configurations, the scalar product procedure in the space as well as in the Fourier transform domain may be incorrect in the conventional sense and that an applicable version of Parseval's therorem is needed for such cases. A version of this sort is given. Some general properties of the method are discussed.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 60 (1978), S. 249-258 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Übersicht Es wird das Verhalten elektromagnetischer Felder in der Umgebung einer Kante, die eine beliebige Raumkurve beschreibt, und an einer Kegelspitze im inhomogenen Medium betrachtet. Ausgangspunkt der Überlegung ist die Integrier-barkeitsbedingung der Energiedichte über jedes beschränkte Raumgebiet. Differentialgleichungen vom Sturm-Liouvilleschen Typ werden aufgestellt, die zusammen mit den Rand-und Übergangsbedingungen die Eigenwerte und folglich das Feldverhalten bestimmen. Weiterhin wird gezeigt, daß statische Felder das gleiche Verhalten in der Umgebung solcher geometrischer Singularitäten aufweisen. Als Beispiele werden Medien mit stückweise konstanter Permeabilität und Permittivität diskutiert, in denen der Begriff Impedanz, bzw. Leitwert, zur Lösung des zugehörigen Eigenwertproblems angewendet wird.
    Notes: Contents The behavior of electromagnetic fields near a twisted edge and near a conical vertex in inhomogeneous medium is considered, both starting from the conditon that the energy density must be integrable over any finite domain. Differential equations of Sturm-Liouville type are then set up, which, together with relevant boundary conditions, determine the eigenvalues and accordingly the field behavior. Static fields are shown to have the same behavior in the neighborhood of such geometrical singularities. Media with piecewise constant permeability and permittivity are discussed as application examples of the concept of “impedance” or “admittance” for solving the associated eigenvalue problems.
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  • 3
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Übersicht Ausgehend von den in einer früheren Arbeit aufgestellten Differentialgleichungen, die das Verhalten sowohl elektromagnetischer als auch statischer Felder in der Umgebung einer Kante beschreiben, wird der Fall sich an der Spitze berührender magnetodielektrischer Keile, jedoch ohne Anwesenheit eines Metallkeiles, betrachtet. Das periodische Randwertproblem wird mit Hilfe der Matrizenmethode gelöst. Die Bestimmungsgleichungen für die Eigenwerte lassen sich durch Ausnutzung der Unimodularitätseigenschaft solcher Matrizen leicht herleiten. Eine notwendige Bedingung für reguläre Felder in der Kantenumgebung wird gegeben. Diese gilt für eine beliebige AnzahlN der Keile und hat außerdem eine passende Form im Hinblick auf praktische Anwendungen. Beispiele für den Entwurf geeigneter Kantenkonfigurationen, um das Auftreten singulärer Felder zu vermeiden, werden im folgenden Teil 2 behandelt.
    Notes: Contents Based upon the differential equations governing the edge behavior of electromagnetic as well as static fields set up in a previous paper, the case of joining of magnetodielectric wedges in the absence of a conductor wedge is considered. The periodic boundary value problem is solved by matrix method. By making direct use of the unimodularity property of the matrices, characteristic equations for eigenvalues are derived easily. A necessary condition for finite fields near the edge is obtained for an arbitrary numberN of wedges, which is convenient in form for application purposes. Examples for designing suitable edge configurations to avoid singular fields will be discussed in the following Part 2.
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  • 4
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Übersicht In diesem Teil werden Anwendungen der Ergebnisse des Teiles 1 auf den praktischen Entwurf moderner elektrischer und elektronischer Bauelemente behandelt. Im FalleN=2 wird gezeigt, daß singuläre Felder nur durch die Abrundung scharfer Keile zu vermeiden sind. Für den FallN=3 wird ein Diagramm zum Entwurf geeigneter Konfigurationen in der Kantenumgebung vorgestellt. Geometrische Eigenschaften bezüglich des Entwurfsdiagramms und-verfahreus werden ausführlich diskutiert. Ferner wird darauf hingewiesen, daß kleine Abweichungen von der entworfenen Konfiguration innerhalb eines gewissen Bereiches auch im streng mathematischen Sinne erlaubt sind. Ein konkretes Entwurfsbeispiel wird ausgearbeitet. Weitere Beispiele fürN=4, 5, 6 dienen als Orientierung hinsichtlich allgemeiner Anwendbarkeit der Ergebnisse auf kompliziertere Konfigurationen.
    Notes: Contents In this Part applications of the results of Part 1 to practical design of modern electrical and electronic devices are considered. It is shown that for the case ofN=2 only the rounding of sharp wedges can avoid field singularity. For the case ofN=3, a chart is proposed for the design of suitable configarations near the edge. Geometrical properties concerning the design chart and design procedure are discussed in detail. Slight deviations from the designed configuration within some range are shown to be allowable also in strictly mathematical sense. A concrete design example is worked out. Further examples forN=4,5,6 are given as illustration of general applicability of the results to more complicated configurations.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Electrical engineering 65 (1982), S. 41-47 
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Description / Table of Contents: Übersicht Nach der Erdélyischen Methode werden Sätze über asymptotische Entwicklungen von endlichen und halbunendlichen Fourierintegralen, einschließlich der Sinus- und Cosinustransformierten, aufgestellt. Es wird gezeigt, daß es genügt das lokale Verhalten, unter gewissen “Bedingungen höherer Ordnung”, der Funktionf(x) an den Enden des Integrationsintervalls zu kennen, um das dominante Glied ihrer Fouriertransformierten $$\hat f(p)$$ für |p|→∞ zu bestimmen. Die hier diskutierte Funktionf(x) bzw. ihre Ableitungf′(x) weist integrierbare algebraische Singularität an einem Ende oder an beiden Enden des Intervalls auf. Die Anwendungsfähigkeit der aufgestellten Sätze wird diskutiert.
    Notes: Contents Based on Erdélyi's method, theorems with regard to the asymptotic expansion of finite and semi-infinite Fourier integrals are proposed, including sine and cosine transforms. It is shown that the local behavior, under some “higher-order conditions”, off(x) at interval ends suffices to determine the dominant term of its Fourier transform $$\hat f(p)$$ as |p|→∞. The functionf(x) discussed here, or its derivativef′(x), exhibits integrable algebraic singularity at one interval end or at both ends. Certain application convenience of the proposed theorems is mentioned.
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  • 6
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Plant breeding 106 (1991), S. 0 
    ISSN: 1439-0523
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Outcrossing rates of Cuphea lanceolata Ait., a new Dilseed crop, have not been estimated; however, this species is known to be insect-pollinated, self-compatible, and autosterile. We used five allozyme loci and the mixed mating model to estimate the outcrossing rates of experimental populations of Cuphea lanceolata Ait. grown at Corvallis, Oregon in 1987 and 1988. Populations were grown using densities of one and 27 plants m−2. Multilocus out-crossing rate estimates of populations grown at low and high density ranged from 0.61 to 0.85 and 0.93 to 0.94, respectively. Density caused differences may be caused by differences in pollinator movement. In open plantings, e.g., space-plant nurseries, selfing rates are increased by increased within plant pollination by bumblebees, the primary pollinators of C. lanceolata in temperate zones. The movement of pollinators between plants is enforced in dense plantings. We found C. lanceolata is predominantly al-logamous, but selfing rates as great as 39.0 % were observed among space-plants; thus, the progeny of an open-pollinated individual plant grown in this type of nursery is a mixed half-sib and S1 family. Maximum outcrossing can be achieved by using dense plantings.
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  • 7
    ISSN: 1432-2242
    Keywords: QTL ; RFLP mapping ; marker-assisted selection ; Barley
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Quantitative trait locus (QTL) and QTL x environment (E) interaction effects for agronomic and malting quality traits were measured using a 123-point linkage map and multi-environment phenotype data from an F1-derived doubled haploid population of barley (Hordeum vulgare). The QTL × E interactions were due to differences in magnitude of QTL effects. Highly significant QTL effects were found for all traits at multiple sites in the genome. Yield QTL peaks and support intervals often coincided with plant height and lodging QTL peaks and support intervals. QTL were detected in the vicinity of a previously mapped Mendelian maturity locus and known function probes forα- andβ-amylase genes. The average map density (9.6 cM) should be adequate for molecular marker-assisted selection, particularly since there were few cases of alternative favorable alleles for different traits mapping to the same or adjacent intervals.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 93 (1996), S. 1083-1089 
    ISSN: 1432-2242
    Keywords: Key words Dominant marker ; F2 family ; Linkage ; QTL ; Information function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Trans-dominant linked markers pairs (trans referring to the repulsion linkage phase) provide a model for inferring the F2 progeny genotype based upon both the conditional probabilities of F2 genotypes, given the F2 phenotype, and prior information on marker arrangement. Prior information of marker arrangement can be readily obtained from a linkage analysis performed on marker segregation data in a family resulting by crossing the F1 individual to a ``tester'' parent or else can be obtained directly from the gametes of the F1, or from recombinant inbred lines. We showed that a trans-dominant linked marker (TDLM) pair can be recoded as a ``co-dominant megalocus'' when the recombination fraction, r1, for a pair of TDLMs is less than 0.05. We obtained a maximum-likelihood estimator (MLE) of the recombination frequency, r2, between a TDLM pair and a co-dominant marker in an F2 family using the EM algorithm. The MLE was biased. Mean bias increased as r1 and r2 increased, and decreased as sample size increased. The information content for r2 was compared to the information content of dominant and co-dominant markers segregating in an F2 family. It was almost identical with two co-dominant markers when r1≤0.01 and r2≥0.05. For larger values of r1, (0.05≤r1≤0.15) a TDLM pair provided 75%–66% of the information content of two co-dominant markers. Although dominant markers can be converted to co-dominant markers by a laborious process of cloning, sequencing, and PCR, TDLM pairs could easily substitute for co-dominant markers in order to detect quantitative trait loci (QTLs) and estimate gene action in an F2 family.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 96 (1998), S. 727-737 
    ISSN: 1432-2242
    Keywords: Key words Genetic map ; Linkage ; Eucalyptus ; AFLP marker
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract  Amplified fragment length polymorphism (AFLP) analysis is a rapid and efficient technique for detecting large numbers of DNA markers in eucalypts. We have used AFLP markers in a two-way pseudo-testcross strategy to generate genetic maps of two clones of different Eucalyptus species (E. tereticornis and E. globulus). Of 606 polymorphic fragments scored, 487 segregated in a 1 : 1 ratio, corresponding to DNA polymorphisms heterozygous in one parent and null in the other. In the maternal E. tereticornis map, 268 markers were ordered in 14 linkage groups (919 cM); the paternal E. globulus map had 200 markers in 16 linkage groups (967 cM). Results from PGRI software were compared with MAPMAKER. The average density of markers was approximately 1 per 3.9 cM. Framework markers were ordered with an average confidence level of 90%, covering 80–100% of the estimated Eucalyptus genome size. In order to investigate the homologies between the E. tereticornis and the E. globulus genetic linkage maps, we included 19 markers segregating 3 : 1 in the analysis. Some homeologous linkage groups were recognized. The linkage data developed in these maps will be used to detect loci controlling commercially important traits.
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  • 10
    ISSN: 1432-2242
    Keywords: Key words AFLP ; Pseudo-testcross ; Eucalyptus ; QTL ; Vegetative propagation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract  We have detected quantitative trait loci (QTLs) affecting vegetative propagation traits in Eucalyptus tereticornis and Eucalyptus globulus. Using amplified fragment length polymorphism (AFLP) genetic linkage maps, the inheritance of 199 markers was assessed in 94 F1 individuals with extreme adventitious rooting response, and in 221 randomly chosen F1 individuals. Phenotypes were scored in 1995 and 1996. QTL analyses were performed using chi-square tests (χ2), single-marker analysis (SMA), interval mapping (IM) and composite interval mapping (CIM). All approaches yielded similar QTL detection results. Three QTLs are hypothesized for mortality (MORT=% dead cuttings), nine for adventitious rooting (ROOT, RCT=% rooted cuttings relative to the surviving or total cuttings, respectively), four for petrification (PETR=% surviving unrooted cuttings), one for sprouting ability (SPR=number of stump sprout cuttings harvested in 1995) and four for the stability of adventitious rooting (STAB=absolute value of the difference ROOT95-ROOT96). All putative QTLs for MORT and PETR were located on the E. tereticornis map, and for SPR and STAB on the E. globulus map. We found different QTLs for MORT, ROOT, RCT, SPR and STAB. Putative QTLs accounted for 2.6–17.0% of the phenotypic variance of a trait (R2). Estimated standardized gene substitution effects varied between 0.13 and 0.49 phenotypic standard deviations (σp). These results indicate that the phenotypic variation in these traits has a meaningful genetic component and that stable QTLs can be found in a family of reasonable size where no previous knowledge of the trait was available.
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