synchronous 发表于 2025-3-30 09:49:51
Eberhard ZeidlerA bridge between mathematicians and physicists.A bridge from classic mathematics and physics to modern mathematics and physics.Includes supplementary material:带来墨水 发表于 2025-3-30 13:22:13
Prologue,llow a strict logical route. This will be done later on. At this point, we are going to emphasize the basic ideas. It is our goal to show the reader how the methods of modern differential geometry work in the case of Einstein’s theory of general relativity, which describes the gravitational force in nature.含糊 发表于 2025-3-30 18:53:42
The Euclidean Manifold ,,Here, .(.) denotes the position vector starting at the origin . at time . with the terminal point .(.)=.+.(.). Let ..(.) denote the space of all the position vectors starting at the point .. This is a real 3-dimensional Hilbert space equipped with the inner product 〈.|.〉.:=. and the norm . for all .,.∈..(.).渐变 发表于 2025-3-30 22:28:26
http://reply.papertrans.cn/79/7812/781188/781188_54.pngHyperlipidemia 发表于 2025-3-31 01:10:28
Book 2011nstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typicalphysics curriculum.. .Quantum Field Theory. builds aconscribe 发表于 2025-3-31 06:02:01
http://reply.papertrans.cn/79/7812/781188/781188_56.png杀死 发表于 2025-3-31 10:47:49
http://reply.papertrans.cn/79/7812/781188/781188_57.pngStagger 发表于 2025-3-31 14:38:58
http://reply.papertrans.cn/79/7812/781188/781188_58.png哀悼 发表于 2025-3-31 20:51:51
Eberhard Zeidlerf this kind of information has given rise to a substantial amount of empirical research conducted on the trading mechanisms, the intraday characteristics of the markets (liquidity, volatility), and the price formation process. While intraday databases provide researchers with a substantial amount ofCOMA 发表于 2025-4-1 00:37:28
http://reply.papertrans.cn/79/7812/781188/781188_60.png