The rectangular lattice and rhombic lattice (or centered rectangular lattice) constitute two of the five two-dimensional Bravais lattice types. The symmetry categories of these lattices are wallpaper groups pmm and cmm respectively. The conventional translation vectors of the rectangular lattices form an angle of 90° and are of unequal lengths. (Wikipedia).
đŸ‘‰ Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its base, i.e. a prism with triangles as its bases are ca
From playlist Volume and Surface Area
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
Mod-01 Lec-5ex Diffraction Methods For Crystal Structures - Worked Examples
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
A short video explaining why the formula for the volume of a rectangular prism is V=lwh. For more videos and applets visit http:www.MathVillage.info
From playlist Area, perimeter, surface area, volume
Lattice Structures in Ionic Solids
We've learned a lot about covalent compounds, but we haven't talked quite as much about ionic compounds in their solid state. These will adopt a highly ordered and repeating lattice structure, but the geometry of the lattice depends entirely on the types of ions and their ratio in the chem
From playlist General Chemistry
Maths A: House Construction lesson 3a: Bracing the wall frame
In this lesson we talk about bracing a rectangular frame to make it stronger under stress. We talk about the requirement that the brace must make an angle between 37 to 53 degrees to the horizontal.
From playlist Maths A / General Course, Grade 11/12, High School, Queensland, Australia
Lattice relations + Hermite normal form|Abstract Algebra Math Foundations 224 | NJ Wildberger
We introduce lattices and integral linear spans of vexels. These are remarkably flexible, common and useful algebraic objects, and they are the direct integral analogs of vector spaces. To understand the structure of a given lattice, the algorithm to compute a Hermite normal form basis is
From playlist Math Foundations
MIT 3.60 | Lec 12a: Symmetry, Structure, Tensor Properties of Materials
Part 1: 3D Lattices View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
MIT 3.60 | Lec 6a: Symmetry, Structure, Tensor Properties of Materials
Part 1: 2D Plane Groups, Lattices (cont.) View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
MIT 3.60 | Lec 4b: Symmetry, Structure, Tensor Properties of Materials
Part 2: 2D Symmetries View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 3)
Due to technical problems the blackboard is not visible. The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Differential Forms | Integrating 2-forms
We motivate the definition of the integral of a 2-form over a surface. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randol
From playlist Differential Forms
Solid State Physics in a Nutshell: Topic 2-1: Lattice and Basis
We focus on the microscopic structure of crystals in this video. We first introduce the translational symmetry of the crystal called the lattice and the description of the crystal chemistry called the basis. We then discuss different types of lattices including the primitive and convention
From playlist CSM: Solid State Physics in a Nutshell | CosmoLearning.org Physics
MIT 3.60 | Lec 5b: Symmetry, Structure, Tensor Properties of Materials
Part 2: 2D Plane Groups, Lattices View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
This video introduces lattice paths and explains how to determine the shortest lattice path.
From playlist Counting (Discrete Math)
7F Diagonal Triangular Symmetric Matrices
Diagonal, triangular, and symmetric matrices.
From playlist Linear Algebra
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 4)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single f
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
The Square Lattice via group D4 and its hypergroups | Diffusion Symmetry 5 | N J Wildberger
Hypergroups are remarkable probabilistic/ algebraic objects that have a close connection to groups, but that allow a transformation of non-commutative problems into the commutative setting. This gives powerful new tools for harmonic analysis in situations ruled by symmetry. Bravais latti
From playlist Diffusion Symmetry: A bridge between mathematics and physics
8 Row and Column Views of a Matrix
The row and column view of a system of linear equations, as well as the matrix as a mathematical object.
From playlist Linear Algebra
Rings and modules 5 Examples of unique factorizations
This lecture is part of an online course on rings and modules. We give some examles to illustrate unique factorization. We use the fact that the Gaussian integers have unique factorization to prove Fermat's theorem about primes that are sums o 2 squares. Then we discuss a few other quadra
From playlist Rings and modules