Monday, July 28, 2014

清詞三大家

納蘭性德是清初著名大詞人,與朱彝尊、陳維崧並稱 "清詞三大家"。

Saturday, July 26, 2014

枣树

一些不同枣树品种的接穗, 嫁接在后院几棵十几年以上的枣树上, 发现有下面几个好处, 一是不同品种成熟有早晚。 二是不同品种的枣花异花授粉,枣结的多。 还有就是接穗嫁接在大枣树上, 由于营养水分充足,它们结的枣个头大,成色好。

Sunday, July 20, 2014

Veritas

Veritas, meaning truth, was the goddess of truth, a daughter of Saturn and the mother of Virtue. It was believed that she hid in the bottom of a holy well because she was so elusive. Her image is shown as a young virgin dressed in white.

幾何三大問題,Diophantus

------ ----- --------------------------- 所謂幾何三大問題無非是,給定一個單位長度; (方圓問題) 求作一個長度為 $\sqrt{\pi}$ 的線段。 (倍立方問題) 求作一個長度為 $\sqrt[3]{2}$ 的線段。 (三等分角問題) 先給長度為 α 的線段,求作一個長度為 x 的線段,而 x 滿足 $4x^3-3x-\alpha=0$。 ------------------- Diophantus's riddle is a poem that encodes a mathematical problem. In verse, it read as follows: 'Here lies Diophantus,' the wonder behold. Through art algebraic, the stone tells how old: 'God gave him his boyhood 1/6 of his life, 1/12 more as youth while whiskers grew rife; And then yet 1/7 ere marriage begun; In 5 years there came a bouncing new son. Alas, the dear child of master and sage After attaining 1/2 the measure of his father's life chill fate took him. After consoling his fate by the science of numbers for 4 years, he ended his life.' Stated in prose, the poem says that Diophantus's youth lasts 1/6 of his life. He grew a beard after 1/12 more of his life. After 1/7 more of his life, Diophantus married. 5 years later, he had a son. The son lived exactly half as long as his father, and Diophantus died just 4 years after his son's death. All of this totals the years Diophantus lived. Let D=84 be the number of years Diophantus lived, and let S=42 be the number of years his son lived. Then the above word problem gives the 2 equations