2023年8月27日日曜日

Abstract algebra is a general term for the study of mathematics concerning axiomatically defined algebraic structures such as groups, rings, fields, modules, vector spaces and linear rings. Without a deep understanding of the significance of the formation of classical mathematics, it is difficult to fully understand the significance of abstract mathematics. In the first place, the significance of using symbols instead of figures in mathematics proofs, the problem of the existence of mathematical objects such as imaginary numbers, and other historical philosophical problems have nothing to do with the significance of the formation of abstract mathematics. The Évariste Galois theory was proposed by a Frenchman in the early 19th century. And "prove the impossibility'' is the joy of Galois theory. It is said that it was discovered by mathematicians such as the It seems that algebraic solutions are obtained by using the four arithmetic operations and n-th roots. This means that for equations of degree 5 and above, there is no formula for their solution. To prove this conclusion, he considered the equations themselves. He used the fundamental theorem of algebra proposed by Gauss that "an algebraic equation of degree n has exactly n complex solutions, including duplication''. The proof is reached without any effort (learned in junior high school mathematics, elimination method is common). In today's terms, this method seems to be the forerunner of the technique of exploring the underlying properties of the subject mathematics. It seems that Galois theory was something he came up with when he was a teenager. To his friend Auguste Chevalier, he wrote a letter summarizing his mathematical work on Galois theory and elliptic function theory. Later, in 1846, Joseph Liouville, who learned of Galois' achievements, published a collection of articles in his journal. Diophantine approximation: Reminds me of Arithmetica.

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2023年8月22日火曜日

Kleingarten Yachiyo (Matsumoto) is a facility with two types of farms: one for stays and one for day trips. In the land adjacent to the farm, there are "Yachiyo Green Village" (rural park), hot spring facilities, agricultural product processing facilities, and the surrounding area is a recreational facility where you can relax. Day services and nursing homes frequently incorporate recreation. There are many things that can be done without tools and things that are exciting and interesting. It is important to observe so that everyone can participate and have fun. It was an effort to relieve physical and mental fatigue from work and study through play at school and in the workplace, and to take rest and entertainment to recover energy. It spreads all over the world. In the case of Japan, it was imported from America after the war. On August 15, 1945, the Pacific War ended with the acceptance of the Potsdam Declaration. For those who believed in victory for a long time, the reality of defeat was something they never dreamed of. It seems that it was not unreasonable to become stunned. In the aftermath of the war, most of the Japanese people would have lost the means to live, and continued to live their lives without any support or tension. In the midst of this situation, the post-war period began when the U.S. occupation forces set out to revive life in war-weary towns and villages across Japan, based on the idea of ​​"making life fun and creative." Freed from the oppressive atmosphere of the militaristic (Imperial Japan) era, people jumped on various American-initiated recreational programs, such as folk dance, as proof of their survival. In December 1946, Winfield P. Niblo (1912-2007) began teaching square dance in Nagasaki. , Folk dance showed an explosive fashion like a fire in the field. However, while the recreational movement in post-war Japan has the aspect of providing hope for the people to live, it is also closely related to the post-war administrative and policy measures that originated from the occupation policy of the United States. Also undeniable. It was also the time when government-led recreational enlightenment activities took over the impact of the democratization policy under occupation by the CIE (Civil Information and Education Bureau) of GHQ (Allied Forces General Headquarters). However, during the war, singing loudly was discouraged, let alone holding hands between men and women. The fact that no one complained about it seemed to be a blessing in itself.

Aerial pest control for agriculture and forestry in 2023 (July). In Chikusei City, Sakuragawa City (makabe/yamato), and Shimotsuma City, agr...