Difference between revisions of "Tensor"
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==Context== | ==Context== | ||
* See the wiki page on [[Matrix Calculation]] for ideas about where [[Tensor]]s work. | * See the wiki page on [[Matrix Calculation]] for ideas about where [[Tensor]]s work. | ||
| − | * Einstein found the simple-looking formula that describes General Relativity in a new geometric theory | + | * Einstein in 1915 found the simple-looking formula that describes General Relativity in a new geometric theory described a few years before by the Italian mathematicians Gregorio Ricci-Curbastro and Tullio Levi-Civita of a new structure for the mathematical foundation that would later be dubbed a “tensor.” |
| + | * Tensors are simple in concept - just an array of numbers. A single number is a “rank 0” tensor. A list of numbers, called a vector, is a rank 1 tensor. A grid of numbers, or matrix, is a rank 2 tensor. And so on. | ||
| + | * What makes tensors interesting is the way that they are used to transform one type of structure into another. | ||
==References== | ==References== | ||
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
Latest revision as of 13:36, 16 August 2024
Full Title or Meme
“Tensors are the most efficient packaging device we have to organize our equations. They’re the natural language for geometric objects.” - Dionysios Anninos, a theoretical physicist at King’s College London[1]
Context
- See the wiki page on Matrix Calculation for ideas about where Tensors work.
- Einstein in 1915 found the simple-looking formula that describes General Relativity in a new geometric theory described a few years before by the Italian mathematicians Gregorio Ricci-Curbastro and Tullio Levi-Civita of a new structure for the mathematical foundation that would later be dubbed a “tensor.”
- Tensors are simple in concept - just an array of numbers. A single number is a “rank 0” tensor. A list of numbers, called a vector, is a rank 1 tensor. A grid of numbers, or matrix, is a rank 2 tensor. And so on.
- What makes tensors interesting is the way that they are used to transform one type of structure into another.
References
- ↑ Joseph Howlett, The Geometric Tool That Solved Einstein’s Relativity Problem Quanta (2024-08-12) https://www.quantamagazine.org/the-geometric-tool-that-solved-einsteins-relativity-problem-20240812/
