#BeingLinear - Twitter Hashtag

almost 4 years ago

On #BeingLinear Being linear within a set defines a vector space. Being linear between sets defines a linear map. A vector itself is a linear map. A linear map can be an element of a new vector space. We map the new vector space to some other vector spaces.

Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear My 2014 notes on tensors, in which I sketches the importance of being linear. https://t.co/AK1Xtmc5ek

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Zhigang Suo @zhigangsuo

almost 4 years ago

#beinglinear Linear algebra of foods ⬇️

Zhigang Suo @zhigangsuo

almost 4 years ago

@j_bertolotti @adad8m The space of chemical elements does not have an inner product. In this space, a burger is a vector, and a pizza is another vector. We do not have the notion of the angle between the burger and the pizza.

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Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear Number field and scalar set are distinct structures in algebra

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Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear My 2014 notes on tensors, in which I sketches the importance of being linear. https://t.co/AK1Xtmc5ek

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Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear Here are my class notes on number, scalar, vector, linear map.⬇️ I'd love to hear your thoughts. Leave comments below, and we can have a conversation. https://t.co/10WIXF5m4N

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Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear "You should call your class notes Linear Algebra in 500 bullets," a student in the class said. Over the years, the number of bullets have increased. I wrote the notes for myself in teaching an undergraduate course on linear algebra. https://t.co/tRAwJ8ooXf

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Zhigang Suo @zhigangsuo

over 4 years ago

#beinglinear Linear algebra is a play of scalars. A n-dimensional vector space is a Cartesian product of n scalar sets. A linear map sends one vector space to another. A linear form maps a vector space to a scalar set. A tensor maps one or more vector spaces to a vector space.

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Zhigang Suo @zhigangsuo

over 4 years ago

In discussing with colleagues and teaching, it helps to have facts in mind, sharply. I’ll gather threads on such facts, keeping each fact basic, and each thread short. #threadsofpolymers, polymer #thermofact, thermodynamics #fractofact, fracture #beinglinear, linear algebra

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