Modular design, or modularity in design, is a design principle that subdivides a system into smaller parts called modules (such as modular process skids), which can be independently created, modified, replaced, or exchanged with other modules or between different systems. (Wikipedia).
This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were used to solve problems in apparently unrelated areas of mathematics. I will not be following any particular book, but if anyone wants a suggestion
From playlist Modular forms
Modular Forms | Modular Forms; Section 1 2
We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)
From playlist Modular Forms
Modular Functions | Modular Forms; Section 1.1
In this video we introduce the notion of modular functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro (0:00) Weakly Modular Functions (2:10) Factor of Automorphy (8:58) Checking the Generators (15:04) The Nome Map (16:35) Modular Functions (22:10)
From playlist Modular Forms
Modular forms: Eisenstein series
This lecture is part of an online graduate course on modular forms. We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series. For the other lectures in the course see http
From playlist Modular forms
Modular Arithmetic: Under the Hood
Modular arithmetic visually! For aspiring mathematicians already familiar with modular arithmetic, this video describes how to formalize the concept mathematically: to define the integers modulo n, to define the operations of addition and multiplication, and check that these are well-def
From playlist Modular Arithmetic Visually
7. Ashley Williams / A brief history and mishistory of modularity
"MAKE IT MODULAR," they said. "IT WILL BE BETTER," they said. Modularity is a term so common in today, that it's easy to uncritically accept it as a fundamental development principle. What does "modularity" actually mean? We will talk through the technical etymology of "modularity" and exa
From playlist ffconf 2016
The robot that transforms at will
Researchers in the US have created a modular robot which can analyse its environment and reconfigure itself to overcome obstacles and achieve tasks. Find out more in this Nature Video. Read the paper here: http://robotics.sciencemag.org/lookup/doi/10.1126/scirobotics.aat4983
From playlist Technology
Modular forms: Theta functions in higher dimensions
This lecture is part of an online graduate course on modular forms. We study theta functions of even unimodular lattices, such as the root lattice of the E8 exceptional Lie algebra. As examples we show that one cannot "her the shape of a drum", and calculate the number of minimal vectors
From playlist Modular forms
Is modular construction the future? | Hard Reset by Freethink
Is modular construction the future of buildings? Subscribe here: http://freeth.ink/youtube-subscribe-modularconstruction We live in a world surrounded by homes, shopping centers, and office buildings built to withstand the test of time, but there’s a problem with this focus on permanence
From playlist Freethink: Hard Reset
Exploring Modular Homes - Cheapest Path to Net Zero?
Exploring Modular Homes - Cheapest Path to Net Zero? Owning a home is an important life milestone for a lot of people, but the ever increasing cost of construction materials and affordable housing is a major roadblock. And on top of that, traditional construction methods and materials caus
From playlist Exploring
Lecture 13 | MIT 21M.380 Music and Technology (Contemporary History and Aesthetics), Fall 2009
Lecture 13: Modular synthesizers See the complete course at: http://ocw.mit.edu/21m-380f09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 21M.380 Music and Technology, Fall 2009
Small Modular Reactors Explained - Nuclear Power's Future?
Small Modular Reactors Explained - Nuclear Power's Future? Get Surfshark VPN at https://surfshark.deals/undecided and enter promo code UNDECIDED for 84% off and 4 extra months for free! With the growing popularity of solar and wind, we sometimes forget another powerful low-carbon energy
From playlist Explained
"People Get Microservices Wrong All The Time!" | Dave, Simon Brown & Hannes Lowette On Microservices
Why do people often get microservices wrong, what does good software architecture really look like and a software team's need for truly competent architects. This is a clip taken from Dave Farley, Simon Brown & Hannes Lowette's talk at GoTo Copenhagen 2021. You can watch the full discussi
From playlist The Engineering Room
Gabriele NEBE - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, ...
Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms The talks of Coulangeon will introduce the notion of perfect, eutactic and extreme lattices and the Voronoi's algorithm to enumerate perfect lattices (both Eulcidean and He
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Tom ELLIS - Engineering Yeast: Synthetic Modularity at the Gene, Circuit, Pathway and Genome Level
Synthetic biology seeks to understand and derive value from biology via its re-design and synthesis using engineering principles. After a decade of work to improve DNA assembly and the control of gene expression, synthetic biology can now tack le cell-scale problems. By applying mod
From playlist Cellular and Molecular Biotechnology
Hands-On with Framework's Fully Modular Laptop!
Remember when laptops had replaceable and upgradeable components? That's what a new company Framework is trying to bring back with their fully modular laptop design. We go hands-on with the laptop to take a look at its internal design and chat with CEO Nirav Patel about their D-I-Y approac
From playlist Hardware Reviews
From playlist Atelier PARI/GP 2016
Lec 5 | MIT 6.033 Computer System Engineering, Spring 2005
Fault Isolation with Clients and Servers View the complete course at: http://ocw.mit.edu/6-033S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.033 Computer System Engineering, Spring 2005