180 degrees. It is the embryonic form of Gauss–Bonnet formula. Parallel is one of the most fundamental concepts in mathematics and influenced modern physics. Trisecting angle and squaring circle are the straightedge and compass construction probl...
This century saw the development of the two forms of non-Euclideanw非欧几里得 geometry, where the parallel postulate假设 of Euclidean geometry no longer holds. The Russian mathematician Nikolai Ivanovich Lobachevsky and his rival竞争对手, the Hungarian mathematician János Bolyai, independently defined and...
Omar Khayyam, 218 The Parallel Postulate, 220 Nasir al-Din al-Tusi, 220 Al-Kashi, 221 12 The...
Omar Khayyam, 218 The Parallel Postulate, 220 Nasir al-Din al-Tusi, 220 Al-Kashi, 221 12 The...
about Euclid's fifth postulate --- the parallel postulate, and tried to prove it by the other four axioms. This idea influenced the development of mathematics. The parallel postulate is equivalent to the triangle postulate, which states that the sum of angles of a triangle equals 180 degrees....
be suspicious about Euclid's fifth postulate --- the parallel postulate, and tried to prove it by the other four axioms. This idea influenced the development of mathematics. The parallel postulate is equivalent to the triangle postulate, which states that the sum of angles of a triangle equals...
In parallel, experimental and computational work has studied the plasticity mechanisms needed to develop neural ensembles in networks by stimulating the network repeatedly with a set of stimuli21,22,23,24,25,26. The connectivity pattern which emerges from repeated stimulations is clustered, i.e. ...
Some Aspects on the History of Computational Quantum Chemistry in view of the Development of the Supercomputers and Large-Scale Parallel ComputersWhen Max Planck1 introduced the quantum postulate E = hv in 1900, the main purpose was to give a theoretical description of the black-body radiation in...
Conversely, the number of genes present on the extant Z chromosome is significantly greater than that on autosomes (Wilcoxon rank-sum test “greater,”P < 0.001; Fig.2F, Additional file1: Table S3). Building upon the previous analysis, we postulate that this may be attributed to the fa...
In parallel to his studies, Fernando attended a bullfighting school in La Macarena at the request of one of his uncles. However, due to an issue related to bullfighting, Botero left the bullring and embarked on a journey into painting. In 1948, he held his first exhibition in Medellín. ...