Related Experiment Video
Updated: Dec 20, 2025

07:32
Author Spotlight: 3D Movement Assessment of Maxillary Posterior Teeth in Clear Aligner Treatment
Published on: February 23, 2024
1.7K
A Binary-Based Matrix Model for Malus Corolla Symmetry and Its Variational Significance
Ting Zhou1,2,3, Wangxiang Zhang1,2,4, Donglin Zhang3
1College of Forestry, Nanjing Forestry University, Nanjing, China.
Frontiers in Plant Science
|May 28, 2020
Summary
Floral symmetry in Malus is quantified using a novel multi-dimensional matrix. Results show symmetry decreases from local to overall views, with species exhibiting higher symmetry than cultivars.
Area of Science:
- Plant genetics and evolution
- Floral morphology
- Quantitative biology
Background:
- Floral symmetry (corolla symmetry) is crucial for plant genetics and evolution.
- Quantifying floral symmetry is challenging due to its multi-dimensional nature.
Purpose of the Study:
- To develop a quantitative method for assessing Malus corolla symmetry.
- To investigate the relationship between floral symmetry and taxonomic classification (species vs. cultivars).
Main Methods:
- Constructed a multi-dimensional data matrix [X Y Z] using three binary variables (corolla regularity, petal regularity, local petal regularity).
- Applied weighted assignments (X: 2^2, Y: 2^1, Z: 2^0) and binary-to-decimal conversion for quantitative analysis.
- Analyzed symmetry across different scales: overall corolla, individual petals, and local petal areas.
Main Results:
- Demonstrated a significant reduction in Malus corolla symmetry from local to overall perspectives.
- Observed higher degrees of corolla symmetry in species compared to cultivars.
- Found that strong corolla symmetry does not exclusively define species status.
Conclusions:
- The developed matrix model offers a unified approach to qualitative and quantitative floral symmetry analysis.
- Findings provide new insights for resolving taxonomic controversies within Malus species.
- The matrix model serves as a reference for evaluating angiosperm flower symmetry, particularly for flowers lacking corolla fusion.
Related Concept Videos
Gauss's Law: Cylindrical Symmetry
9.1K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
9.1K
Gauss's Law: Planar Symmetry
9.2K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.2K
Symmetry in Maxwell's Equations
4.0K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.0K
Eccentric Axial Loading in a Plane of Symmetry
463
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
463
Structural Isomerism
21.3K
Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula. Structural isomerism of coordination compounds can be divided into two subcategories, the linkage isomers and coordination-sphere isomers.
Linkage isomers occur when the coordination compound contains a ligand that can bind to the transition metal center through two different atoms. For example, the CN− ligand can bind through the carbon atom or through the nitrogen atom. Similarly, SCN− can...
Isomers are different chemical species that have the same chemical formula. Structural isomerism of coordination compounds can be divided into two subcategories, the linkage isomers and coordination-sphere isomers.
Linkage isomers occur when the coordination compound contains a ligand that can bind to the transition metal center through two different atoms. For example, the CN− ligand can bind through the carbon atom or through the nitrogen atom. Similarly, SCN− can...
21.3K
Chi-square Analysis
42.7K
The chi-square test is a statistical hypothesis test. It is used to check whether there is a significant difference between an expected value and an observed value. In the context of genetics, it enables us to either accept or reject a hypothesis, based on how much the observed values deviate from the expected values.
The chi-square test was developed by Pearson in 1990.
The first step of performing a Chi-square analysis is to establish a null hypothesis, which assumes that there is no real...
The chi-square test was developed by Pearson in 1990.
The first step of performing a Chi-square analysis is to establish a null hypothesis, which assumes that there is no real...
42.7K

