scholarly journals Leaf primordium size specifies leaf width and vein number among row-type classes in barley

2017 ◽  
Vol 91 (4) ◽  
pp. 601-612 ◽  
Author(s):  
Venkatasubbu Thirulogachandar ◽  
Ahmad M. Alqudah ◽  
Ravi Koppolu ◽  
Twan Rutten ◽  
Andreas Graner ◽  
...  
Keyword(s):  
Leaf Primordium ◽  
Leaf Width ◽  
Type Classes

scholarly journals Linear Differential Equations on Some Classes of Weighted Function Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1113
Author(s):  
Ahmed El-Sayed Ahmed ◽  
Amnah E. Shammaky
Keyword(s):  
Specific Growth ◽  
Function Spaces ◽  
Entire Solutions ◽  
Linear Type ◽  
Weighted Function ◽  
Weighted Function Spaces ◽  
Type Classes ◽  
Type Differential Equation ◽  
Linear Differential ◽  
Weighted Type

Some weighted-type classes of holomorphic function spaces were introduced in the current study. Moreover, as an application of the new defined classes, the specific growth of certain entire-solutions of a linear-type differential equation by the use of concerned coefficients of certain analytic-type functions, that is the equation h(k)+Kk−1(υ)h(k−1)+…+K1(υ)h′+K0(υ)h=0, will be discussed in this current research, whereas the considered coefficients K0(υ),…,Kk−1(υ) are holomorphic in the disc ΓR={υ∈C:|υ|<R},0<R≤∞. In addition, some non-trivial specific examples are illustrated to clear the roles of the obtained results with some sharpness sense. Hence, the obtained results are strengthen to some previous interesting results from the literature.

Type Classes and Filters for Mathematical Analysis in Isabelle/HOL

2013 ◽  
pp. 279-294 ◽  
Author(s):  
Johannes Hölzl ◽  
Fabian Immler ◽  
Brian Huffman
Keyword(s):  
Mathematical Analysis ◽  
Type Classes

scholarly journals Extended expression of MaKN1 contributes to the leaf morphology in aquatic forms of Myriophyllum aquaticum

Botany ◽  
2015 ◽  
Vol 93 (9) ◽  
pp. 611-621
Author(s):  
M.D. Shafiullah ◽  
Christian R. Lacroix
Keyword(s):  
Apical Meristem ◽  
Leaf Morphology ◽  
Expression Patterns ◽  
Homeobox Gene ◽  
Leaf Primordia ◽  
Leaf Primordium ◽  
Myriophyllum Aquaticum ◽  
Knox Gene ◽  
Leaf Morphogenesis

Myriophyllum aquaticum (Vell.) Verdc. is heterophyllous in nature with highly dissected simple leaves consisting of several lobes. KNOX (KNOTTED1-LIKE HOMEOBOX) genes are believed to have played an important role in the evolution of leaf diversity. Up-regulation of KNOX during leaf primordium initiation can lead to leaf dissection in plants with simple leaves and, if overexpressed, can produce ectopic meristems on leaves. A previous study on KNOX gene expression in the aerial form of this species showed that this gene is expressed in the shoot apical meristem (SAM), as well as in leaf primordia P0 to P8. Based on these results, it was hypothesized that the prolonged expression of the MaKN1 (Myriophyllum aquaticum Knotted1-like homeobox) gene beyond P8, might play an important role in the generation of more lobes, longer lobes, and hydathode formation in the aquatic leaves of M. aquaticum. The technique of in situ hybridization was carried out using a previously sequenced 300 bp fragment of MaKN1 to determine the expression patterns of this gene in the shoot of aquatic forms of the plant. Expression patterns of MaKN1 revealed that the SAM and leaf primordia of aquatic forms of M. aquaticum at levels P0 (youngest) to P4 were distributed throughout these structures. The level of expression of this MaKN1 gene progressively became more localized to lobes in older leaf primordia (levels P5 to P12). Previous studies of aerial forms of this plant showed MaKN1 expression until P8. Our results with aquatic forms show that the highly dissected leaf morphology in aquatic forms was the result of the prolonged expression of MaKN1 beyond P8. This resulted in the formation of elongated and slightly more numerous lobes, and hydathodes in aquatic forms. These findings support the view that KNOX genes are important developmental regulators of leaf morphogenesis and have played an important role in the evolution of leaf forms in the plant kingdom.

A system of constructor classes: overloading and implicit higher-order polymorphism

1995 ◽  
Vol 5 (1) ◽  
pp. 1-35 ◽  
Author(s):  
Mark P. Jones
Keyword(s):  
Type System ◽  
Type Systems ◽  
Natural Generalization ◽  
Higher Order ◽  
Functional Language ◽  
Effective Algorithm ◽  
Prototype Implementation ◽  
Type Classes

AbstractThis paper describes a flexible type system that combines overloading and higher-order polymorphism in an implicitly typed language using a system of constructor classes—a natural generalization of type classes in Haskell. We present a range of examples to demonstrate the usefulness of such a system. In particular, we show how constructor classes can be used to support the use of monads in a functional language. The underlying type system permits higher-order polymorphism but retains many of the attractive features that have made Hindley/Milner type systems so popular. In particular, there is an effective algorithm that can be used to calculate principal types without the need for explicit type or kind annotations. A prototype implementation has been developed providing, amongst other things, the first concrete implementation of monad comprehensions known to us at the time of writing.

Phyllotaxis of the palm Euterpe oleracea Mart. at the level of the shoot apical meristem

Botany ◽  
2010 ◽  
Vol 88 (5) ◽  
pp. 528-536 ◽  
Author(s):  
Denis Barabé ◽  
Laura Bourque ◽  
Xiaofeng Yin ◽  
Christian Lacroix
Keyword(s):  
Shoot Apical Meristem ◽  
Fundamental Theorem ◽  
Apical Meristem ◽  
Leaf Primordia ◽  
Leaf Primordium ◽  
Divergence Angle ◽  
Euterpe Oleracea ◽  
The Mean ◽  
The Relationship ◽  
Euterpe Oleracea Mart

Previous studies on palm phyllotaxis deal mainly with the mature trunk. The goals of this study are (i) to determine the relationship between the number of parastichies, the divergence angle, and the plastochrone ratio at the level of the shoot apical meristem; (ii) to examine whether there are fluctuations in the divergence angle; (iii) to interpret the significance of phyllotactic parameters with respect to the mode of growth of the apex. The tubular base of the leaf primordium is more or less asymmetrical, and completely surrounds the shoot apical meristem. The phyllotactic system corresponds to a (2, 3) conspicuous parastichy pair. The mean divergence angle per apex varies between 126.9° ± 9.3° (mean ± SD) and 135. 8° ± 8.0°. Divergence angles for all apices fluctuate within a range of 115.89° to 157.33°. The mean plastochrone ratios between apices varies from 1.35 ± 0.18 to 1.58 ± 0.12. The plastochrone ratio at each plastochrone for all apices ranges from 1.09 to 2.00. There is no correlation between the angle of divergence and the plastochrone ratio. There is a fluctuation in the value of the divergence angle that falls within the range predicted by the fundamental theorem of phyllotaxis. The high value of the ratio of the diameter of leaf primordia over the diameter of the apex, and the long plastochrone might explain the lack of correlation between certain phyllotactic parameters.

MLC leaf width impact on the clinical dose distribution: a Monte Carlo approach

2004 ◽  
Vol 59 (5) ◽  
pp. 1548-1559 ◽  
Author(s):  
Antonio Leal ◽  
Francisco Sánchez-Doblado ◽  
Rafael Arráns ◽  
Roberto Capote ◽  
Juan Ignacio Lagares ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Dose Distribution ◽  
Leaf Width ◽  
Monte Carlo Approach ◽  
Clinical Dose

Fine mapping TaFLW1, a major QTL controlling flag leaf width in bread wheat (Triticum aestivum L.)

2013 ◽  
Vol 126 (8) ◽  
pp. 1941-1949 ◽  
Author(s):  
Shulin Xue ◽  
Feng Xu ◽  
Guoqiang Li ◽  
Yan Zhou ◽  
Musen Lin ◽  
...  
Keyword(s):  
Triticum Aestivum ◽  
Bread Wheat ◽  
Fine Mapping ◽  
Flag Leaf ◽  
Triticum Aestivum L ◽  
Leaf Width ◽  
Flag Leaf Width ◽  
Major Qtl

scholarly journals Phenetic Analysis of Cultivated Black Pepper (Piper nigrum L.) in Malaysia

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Y. S. Chen ◽  
M. Dayod ◽  
C. S. Tawan
Keyword(s):  
Principle Component Analysis ◽  
Conversion Rate ◽  
Morphological Difference ◽  
Similarity Index ◽  
Black Pepper ◽  
Length Ratio ◽  
Leaf Width ◽  
Phenetic Analysis ◽  
Principle Component ◽  
Key Characteristics

Phenetic analysis of all the black pepper cultivars in Malaysia is crucial to determine the morphological difference among them. The objective of this study is to ascertain the morphological distinctness and interrelationships among the cultivars to ensure registration of each variety under the Plant Variety Protection Act, as a prerequisite toward implementation of a monovarietal farm policy in the future. Cluster analysis revealed that cultivars “Semongok Aman” and “Semongok 1” have high distinctness values for identification; thus, varietal diagnosis for the two cultivars is easy. Cultivars “Nyerigai,” “India,” “Semongok Perak,” and “Semongok Emas” were grouped in the most diverse clusters among the ten cultivars studied. The four cultivars have a similarity index as high as 92%; however, investigation of leaf width, leaf width-length ratio, seed weight, and conversion rate (fresh to black pepper) gives the ability to determine the characteristic differences. Cultivars “Lampung Daun Lebar” and “Yong Petai” have a similarity of 96%; however, the two showed distinctive differences in leaf width, leaf length-width ratio, spike thickness, and spike length characteristics. On the contrary, cultivars “Kuching” and “Sarikei” showed the highest similarity index, at 98%, and thus are among the most difficult cultivars to diagnose the morphological difference. However, the principle component analysis showed that the fruit size and seed diameter were the important diagnostic key characteristics. Overall, the leaf width, leaf width-length ratio, fruit spike, and conversion rate characteristics are among the key characteristics to differentiate among cultivars of black pepper in Malaysia. At the same time, the principle component analysis carried out has enlightened some interrelationships on the morphological characteristics between cultivars. This information is crucial for the future of the plant varietal improvement program in Malaysia.

Shape Preserving Widths of Weighted Sobolev-Type Classes

2002 ◽  
pp. 79-94
Author(s):  
V. N. Konovalov ◽  
D. Leviatan
Keyword(s):  
Sobolev Type ◽  
Shape Preserving ◽  
Type Classes
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