(Are there) subtleties in the definition of 'biproduct'
The correct definition of a biproduct is discussed extensively in this blog post.The conditions you write down are morally wrong because they don't guarantee uniqueness up to unique isomorphism, which is something you'd like any universal thing to satisfy.
Connection between cross product and determinant
2020年6月26日 · There certainly is a connection! Other answers have shown that, of course, but it goes a little deeper than that: determinants and cross products are both based on antisymmetric linear combinations of permutations.
linear algebra - Why does cross product give a vector which is ...
It was a byproduct of the more general concept of product of quaternions. Because of its properties, the cross product became popular when it was shown to be useful to solve physics problem. However, I accidentally found a motivation for the cross product by consideration of the linear combination of two vectors in 3D space.
Are discontinuous functions integrable? And integral of every ...
Yes! In fact, this is a byproduct of what's commonly known as the second fundamental theorem of calculus ...
What is "white noise" and how is it related to the Brownian motion?
2016年2月4日 · Definition 2: In Stochastic Differential Equations with Applications to Physics and Engineering, Modeling, Simulation, and Optimization of Integrated Circuits and Generalized Functions - Vol 4: Applications of Harmonic Analysis they take a real-valued Brownian motion $(B_t)_{t\ge 0}$ on $(\Omega,\mathcal A,\operatorname P)$ and define $$\langle …
Poisson's formula and dirichlet problem for a circle
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Good book for self study of a First Course in Real Analysis
2011年9月6日 · I think a good first book is 'A First Course in Mathematical Analysis' by David Alexandar Brannan and can suggest it as well as several that have already been mentioned on this page, but this one has the advantage that it was a byproduct of the Open University and is thus totally designed for self-study.
showing that - Mathematics Stack Exchange
2013年10月20日 · The argument itself is the byproduct of my attempts to make sense of the wonderful proof attributed to Landau—which deserves a post of its own here—as presented by Antoine Chambert-Loir on his blog. Although I haven’t encountered it (i.e., the argument below) anywhere else, it’s neither too complicated nor particularly deep, and as such ...
How to show whether 3 planes have a common line of intersection
2015年5月18日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Why have we chosen our number system to be decimal (base 10)?
I think the answer here might be, that the guys who thought base 10 was a good idea had the largest sticks. If one trusts the wikipedia, the Babylonians had a base 60 system, which can still be felt today with this "60 minutes in an hour" nonsense, and a (related) base 12 system was widely in use too.