Life Lessons from Differential Equations
source link: https://www.tuicool.com/articles/hit/VVvmU3u
Go to the source link to view the article. You can view the picture content, updated content and better typesetting reading experience. If the link is broken, please click the button below to view the snapshot at that time.
Ten life lessons from differential equations:
- Some problems simply have no solution.
- Some problems have no simple solution.
- Some problems have many solutions.
- Determining that a solution exists may be half the work of finding it.
- Solutions that work well locally may blow up when extended too far.
- Boundary conditions are the hard part .
- Something that starts out as a good solution may become a very bad solution.
- You can fool yourself by constructing a solution where one doesn’t exist .
- Expand your possibilities to find a solution, then reduce them to see how good the solution is.
- You can sometimes do what sounds impossible by reframing your problem.
Recommend
-
35
We were always taught that the fundamental passive components were resistors, capacitors, and inductors. But in 1971, [Leon Chua] introduced the idea of a memristor — a sort of resistor with memory. HP created one in 2008 and...
-
45
Show Mobile Notice Show All Notes Hide All Notes Mobile Notice You appear to be on a device with a "narrow" screen width ( i.e. you are probably on a...
-
68
In this blog post we will show you how to easily, efficiently, and robustly add differential equation (DiffEq) solvers to neural networks in Julia.
-
35
Learning Better Simulation Methods for Partial Differential Equations 2019-0...
-
13
Solving Differential Equations with Transformers: Deep Learning for Symbolic Mathematics
-
29
Elmer FEM This is the official source code repository for the Elmer FEM software suite. Abstract: Elmer is a finite element software for numerical solution of pa...
-
11
Euler Method to solve Ordinary differential Equations with RSolving 1st and 2nd order ODEs with Euler methodIn this article, the simplest numeric method, namely the Euler method to solve 1st order ODEs will be dem...
-
8
Fourier Neural Operator This repository contains the code for the paper: (FNO) Fourier Neural Operator for Parametric Partial Differential Equations In this work...
-
0
SDEdit: Image Synthesis and Editing with Stochastic Differential Equations Project | Paper |
-
2
Computer Science > Machine Learning [Submitted on 11 Oct 2021] Imitating Deep Learning Dynamics via Locally Elastic Stochastic Differential Equation...
About Joyk
Aggregate valuable and interesting links.
Joyk means Joy of geeK