This theorem in the computer science world, which states,"You cannot produce an answer to the halting problem," corresponds to K. Gödel's incompleteness theorem, and it has become an example of the existence of problems that can never be solved.
This theorem showed that if voters have to rank candidates- to say, in other words, who comes first, second and so forth- there will inevitably be one of two major potential failures.
Lagrange's four-square theorem of 1770 states that every natural number is the sum of at most four squares;since three squares are not enough, this theorem establishes g( 2)= 4.
Although he could not prove the proposition(which was later done by Christiaan Huygens(1629- 1695)), he used this result to verify Ludolph's 35-th decimal place using only 230-sided polygon.
This theory shows that in order to describe an N-electron system, there is no need to solve the Schroedinger equation for a wave function with 3N variables, but that it suffices to handle the electron density with 3 spatial variables.
日本語
中文
عربى
Български
বাংলা
Český
Dansk
Deutsch
Ελληνικά
Español
Suomi
Français
עִברִית
हिंदी
Hrvatski
Magyar
Bahasa indonesia
Italiano
Қазақ
한국어
മലയാളം
मराठी
Bahasa malay
Nederlands
Norsk
Polski
Português
Română
Русский
Slovenský
Slovenski
Српски
Svenska
தமிழ்
తెలుగు
ไทย
Tagalog
Turkce
Українська
اردو
Tiếng việt