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The paper shows all the implication relationship among six continuity conditions and two null-additivity conditions with respect to non-additive measures. The six continuity conditions are continuity from above, order continuity, ...
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The paper shows all the implication relationship among six continuity conditions and two null-additivity conditions with respect to non-additive measures. The six continuity conditions are continuity from above, order continuity, strong order continuity, exhaustivity, continuity from below, and null-continuity, and the two null-additivity conditions are null-additivity and weak null-additivity. The implication relationship is summarized in a diagram.
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In the field of non-extensive statistical mechanics it is common to focus more attention on the family of parameter-dependent entropies rather than on those strictly depending only on the probability in which case there is no need...
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In the field of non-extensive statistical mechanics it is common to focus more attention on the family of parameter-dependent entropies rather than on those strictly depending only on the probability in which case there is no need to adjust a specific parameter. In particular, there exist two non-parametric entropy measures, S_±, that resemble the Boltzmann-Gibbs (BG) entropy, SB, in the thermodynamic limit, whereas a difference between them arises inasmuch as the statistical system possesses a small number of microstates. The difference, although slight, accounts for meaningful physical consequences such as effective forces and inner interactions among constituents. Yet, in this letter we are to report some of the analytical attributes associated to entropies S_± via the formulation introduced by Hanel and Thurner. These two functionals allow to construct a generalised classification of entropy measures in terms of their defining equivalence classes, which are determined by a pair of scaling exponents (c, d). As a result, it has been identified that S_± and S_B belong to the same asymptotic, equivalence class. The latter is an interesting fact since it does not occur for non-logarithmic, parameter-dependent entropies. Following this scheme, we also briefly discuss the features of the Sharma-Mittal, Rényi and Tsallis entropies in the asymptotic limit.
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Combining ability studies using line x tester (4 lines and 10 testers) mating design in American cotton revealed that non-additive genetic variance was important for number of monopodia/plant, number of bolls/plant, boll weight an...
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Combining ability studies using line x tester (4 lines and 10 testers) mating design in American cotton revealed that non-additive genetic variance was important for number of monopodia/plant, number of bolls/plant, boll weight and seed cotton yield p er plant Both additive and non-additive gene actions were observed for plant height, number of sympodia/plant, number of seeds/boll and seed index Additive gene action was found predominant for days to 50% flowering and lint index. The estimates of gca e ffects indicated that the lines NA 1325, NDLH 1678 and tester NDLH 1650 were found to be the good general combiners for one or two yield component traits viz, number of sympodia per plant, number of bolls per plant, boll weight, seed index and lint index besides seed cotton yield. The crosses MCU 5 X NDLH 1650, NA 1325 X GJSV 337 and NA 1325 X F 1914 exhibited high sea effects and per se performance for various yield component traits besides seed cotton yield per plant.
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A 10 x 10 diallel analysis was made to assess the combining ability for yield and yield contributing characters involving divergent varieties of American cotton (Gossypium hirsutum L.) at Regl. Agrl. Research Station, Lam in four ...
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A 10 x 10 diallel analysis was made to assess the combining ability for yield and yield contributing characters involving divergent varieties of American cotton (Gossypium hirsutum L.) at Regl. Agrl. Research Station, Lam in four environments. The pooled analysis of variance revealed that GCA x E (except for monopodia per plant and sympodia per plant) and SCA x ￡ (except for number of monopodia per plant) was important for all the characters. Though the magnitude of gca variance was considerably higher than the sea variance, both additive and non additive genetic variances were important for number of bolls per plant, boll weight and seed cotton yield per plant Non additive genetic variance was found important for days to 50% flowering, number of monopodia per plant, number of sympodia per plant and number of seeds per boll. The parents NA 1325, NDLH 1678 and CWROK 165 were the best general combiners for number of sympodia per plant, number of bolls per plant, boll weight and seed cotton yield perplant NA 1325 and NDLH 1678 also exhibited good general combining ability for days to 50% flowering in desired direction. The crosses NDLH 1678 x CWROK 165, L 604 X NDLH 1678 and MCU 5 x NA 1325 were identified as the best crosses on the basis of per seperformance and combining ability.
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In both the approaches, additive as well as non additive genetic variances were significant. However, additive genetic variance was of greater magnitude. Parents Chambal and Triveni had possessed maximum oil content along with hig...
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In both the approaches, additive as well as non additive genetic variances were significant. However, additive genetic variance was of greater magnitude. Parents Chambal and Triveni had possessed maximum oil content along with high GCA effects over the environments. In pooled analysis about 1/3 crosses exhibited significant and positive SCA effects. The cross combination AKL 79 X Chembal depicted the highest SCA effect, however, the cross. LCK 88062 X LW 28-9 had high oil content. For improvement of this trait pedigree selection method and diallci selection mating are suggested.
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The representations of comonotonically additive and monotone functionals are investigated. An i-regular non-additive measure is defined as a non-additive measure whose values can be calculated from its values on the inner compact ...
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The representations of comonotonically additive and monotone functionals are investigated. An i-regular non-additive measure is defined as a non-additive measure whose values can be calculated from its values on the inner compact sets and the values on compact sets can be calculated from its values on the outer open sets. The basic properties of an i-regular non-additive measure are shown. The inner representation of the functional is proposed and is compared with the outer representation.
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Stem borer (SB) and more recently, fall armyworm (FAW) are serious economic pests in maize production in sub-Saharan Africa. It is hypothesized that SB-resistant germplasm may confer resistance against FAW. However, the performanc...
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Stem borer (SB) and more recently, fall armyworm (FAW) are serious economic pests in maize production in sub-Saharan Africa. It is hypothesized that SB-resistant germplasm may confer resistance against FAW. However, the performance of SB-resistant lines in hybrid combinations and the inheritance of FAW-resistant traits under variable FAW infestations have not been reported. This study was conducted to (i) obtain information on the inheritance of agronomic and FAW-resistant traits under variable FAW infestations; (ii) identify hybrids combining high grain yield (GYLD) and stability under FAW infestations; and (iii) determine the effects of FAW damage on GYLD. Three SB-resistant lines (1393, CKSBL10060 and CML 331) as testers and six open-pollinated varieties (OPVs) as lines were crossed in a line tester scheme to generate eighteen test crosses. The test crosses together with two tester × tester crosses and two checks were evaluated under artificial FAW infestation (AI), natural infestation (NI) and pesticide-protected condition (PC) in Nigeria. Additive and non-additive effects were significant for GYLD, most agronomic and FAW-resistant traits under AI and NI, except ear damage (EDAM) scores under NI, whereas only the non-additive effect was significant for GYLD under PC. Two testers (1393 and CKSBL10060) combined significant and positive GCA effects for GYLD with desirable GCA effects for FAW-resistant traits under AI and NI, whereas CML 331 combined significant and negative GCA effects of GYLD with undesirable GCA effects of FAW resistance under the test conditions. Three OPVs (AWR SYN-W2, AMATZBR-WC4 and TZB-SR) had a significantly positive GCA effect for GYLD and a desirable GCA effect for either leaf damage (LDAM) or EDAM score under AI. The FAW LDAM and EDAM significantly reduced GYLD under AI but not under NI. Three test crosses (AMATZBR-WC4 x CKSBL10060, TZB-SR x CKSBL10060 and TZBR Comp 1-WC2 × 1393) combined high yield with stability and FAW tolerance across the test conditions and thus were recommended for further testing.
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Genetic analysis of pod yield and other important yield traits in large seeded genotypes using six generation means indicated the major role of non-additive (h) gene action in the inheritance of pod yield, shelling per cent, sound...
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Genetic analysis of pod yield and other important yield traits in large seeded genotypes using six generation means indicated the major role of non-additive (h) gene action in the inheritance of pod yield, shelling per cent, sound mature kernels, number of pods, number of mature and immature pods in both the crosses viz., J 11 x TGLPS 3 and TKG 19A x J 11. The character SMK per cent was the only trait, which was influenced by additive as well as non-additive genetic effects (d) in both the crosses. The traits shelling per cent and 100-kernel weight were found to be governed by both additive as well as non-additive genetic effects in the crosses J 11 x TGLPS 3 and TKG 19A x J11, respectively. Among the epistatic components of genetic variance, the fixable additive x additive genetic component (I) was significant for almost all the traits except for days to flowering in both the crosses and only in J 11 x TGLPS 3 for 100 kernel weight. However, interaction due to additive x dominance (j) was lackingfor all the traits except for 100-kernel weight in the cross J 11 x TGLPS 3. The interactions due to dominance x dominance (1) genetic effects prevailed in both the crosses for shelling per cent and days to flowering, while for number of pods and SMK percent only in the cross J 11 x TGLPS 3 and for 100 kernel weight in TKG 19A x J 11. Thus, the inheritance of majority of the yield traits appears to be complex, which necessitates intermating in the segregating generations followed by pedigree breeding for the genetic enhancement of large seeded groundnut.
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We provide convergence theorems for the Choquet integral for various notions of convergence. Monotone almost uniform convergence from above/below is associated to monotone autocontinuity from above/below. The dominated almost unif...
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We provide convergence theorems for the Choquet integral for various notions of convergence. Monotone almost uniform convergence from above/below is associated to monotone autocontinuity from above/below. The dominated almost uniform convergence is associated to monotone autocontinuity. Autocontinuity can be associated to the dominated convergence in measure, in mean or in strict-measure.
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Wetting of low-energy solid surfaces (polymers,hydrophobized glass)with aqueous solutions of binary mixtures of cationic andnonionic surfactants was investigated at molar fractions of the cationic surfactant of 0.2,0.5,and 0.8.In ...
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Wetting of low-energy solid surfaces (polymers,hydrophobized glass)with aqueous solutions of binary mixtures of cationic andnonionic surfactants was investigated at molar fractions of the cationic surfactant of 0.2,0.5,and 0.8.In a narrow concentration range.The nonadditive effect of wetting eas observed:wetting of the solid surfaces with solutions of the mixtures is better than that would be expected from the addtiove behavior of the components.The magnitude of the effect depends on te surface energy of the solid substrate.total surfactant concentration in a mixture,and molar fractin of hte cationic component.The wetting effect of surfactant mixtures with respect to low-energy solid surfaces can be predicted using the surface tension isotherms.
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