Matrix representation of a positive definite symmetric bilinear form by 
Ciro Santilli 37 Updated 2025-07-16
Ciro Santilli 37 Updated 2025-07-16For positive definite matrices only.
TODO application.
www.studentclustercompetition.us/ comments:
The HPCG benchmark uses a preconditioned conjugate gradient (PCG) algorithm to measure the performance of HPC platforms with respect to frequently observed but challenging patterns of computing, communication, and memory access. While HPL provides an optimistic performance target for applications, HPCG can be considered as a lower bound on performance. Many of the top 500 supercomputers also provide their HPCG performance as a reference.
Bibliography:
has order
The Klein-Gordon equation can be written in terms of the d'Alembert operator as:so we can expand the d'Alembert operator in Einstein notation to:
Per-table dumps created with mysqldump and listed at: dumps.wikimedia.org/. Most notably, for the English Wikipedia: dumps.wikimedia.org/enwiki/latest/
A few of the files are not actual tables but derived data, notably dumps.wikimedia.org/enwiki/latest/enwiki-latest-all-titles-in-ns0.gz from Download titles of all Wikipedia articles
The tables are "documented" under: www.mediawiki.org/wiki/Manual:Database_layout, e.g. the central "page" table: www.mediawiki.org/wiki/Manual:Page_table. But in many cases it is impossible to deduce what fields are from those docs.
Ultimate explanation: math.stackexchange.com/questions/776039/intuition-behind-normal-subgroups/3732426#3732426
Does not have to be isomorphic to a subgroup:
This is one of the reasons why the analogy between simple groups of finite groups and prime numbers is limited.
OMG this is sick.
Full official album on YouTube: www.youtube.com/playlist?list=OLAK5uy_myUBkJ0UJbkV7O1q-hg7ONxxGBLGz4SzU. so glad he managed to upload it...
dumps.wikimedia.org/enwiki/latest/enwiki-latest-all-titles-in-ns0.gz Characterization:
- contains redirects, e.g. en.wikipedia.org/wiki/"Ampere_North" redirects to en.wikipedia.org/wiki/Ampere_North,_New_Jersey and both are present. Noted in this comment: stackoverflow.com/questions/24474288/how-to-obtain-a-list-of-titles-of-all-wikipedia-articles#comment136016773_24474476
Collection of coordinate charts.
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