STEM 隨筆︰古典力學︰轉子【五】《電路學》三【電阻】III.下

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盧布爾雅那沼澤輪

老子說︰人法地,地法天,天法道,道法自然。如果說『曾經』有一種『功能』或者『能力』,最早之初並不『存在』於大自然之『動植物』的『本能』中,其一就是『輪子之發明』的吧!假使講『轉動』能夠產生『移動』,不論古人對於『摩擦力』的了解有多少,事實上,都發展了『工具』的『創造』與『應用』之時代。就像曾有人將人『定義』為︰』是會『製作使用工具』的動物。

根據學者的研究,最早出現的『輪子』在距今六千年前左右的美索不達米亞高加索以及中歐等地出現,然而目前還無法斷定到底是哪一個文化最早使用『輪子』。據聞二零零二年時『斯洛維尼亞』的考古學家發現了『盧布爾雅那沼澤輪』,距今有 5250 \pm 100 多年,聽說這是世界上最早的『木製車輪』。

之前《輪扁斲輪?!》一文中,輪扁認為︰

斲輪,徐則甘而不固,疾則苦而不入,不徐不疾,得之於手而應於心,口不能言,有數存焉於其間。臣不能以喻臣之子,臣之子亦不能受之於臣,是以行年七十而老斲輪。

做輪子『得手應心』來之於『實踐』與『體會』,即使親如父子,都『難以言傳』,藉此勸誡齊桓公不要『死讀書』或者說『讀書』貴在『得意能行』,『讀死書』的作法不可取的吧!

人類的歷史上,許多『事物』的『實作』和『理論』,雖說『曾經發明』,也許又『已經失傳』。所謂『學者』的『得失』可能只在『得書之言』與『失其意指』的了!!

在『軟體開發』以及各種『技術工程』的領域中,用『重造輪子』一詞表達,再次重作一個『已知』、『好用』而且『優化』了的基本『方法』或是『工具』。固然說,沒有必要不必『重造輪子』,然而對於一個『已學者』來說從『造輪子』裡學習『用輪子』通常是更『重要』的,為什麼呢?通常許多事物的『好壞』難得有『標準』,不能深刻的親身體驗,那一『方法』的『』真『難以發明』,這一『工具』之『』果『無法超越』,又將如何真實知道『其意所指』之『好壞』的呢??那麼對於『初學者』呢?也許先學會『用輪子』,自『應用』中『體會』那『造輪者』之心思『理念』,循序漸進而且困知勉行,自然就會是『已學者』的了。

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重造輪子

Roue_primitive
今不如古?失傳人
來不如今?無學者

─── 《音樂播放器之 CD 轉成 MP3《二》

 

舉一反三者,學一事一物自能一通百通也!

Y-Δ transform

The Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify the analysis of an electrical network. The name derives from the shapes of the circuit diagrams, which look respectively like the letter Y and the Greek capital letter Δ. This circuit transformation theory was published by Arthur Edwin Kennelly in 1899.[1] It is widely used in analysis of three-phase electric power circuits.

The Y-Δ transform can be considered a special case of the star-mesh transform for three resistors. In mathematics, the Y-Δ transform plays an important role in theory of circular planar graphs.[2]

Names

The Y-Δ transform is known by a variety of other names, mostly based upon the two shapes involved, listed in either order. The Y, spelled out as wye, can also be called T or star; the Δ, spelled out as delta, can also be called triangle, Π (spelled out as pi), or mesh. Thus, common names for the transformation include wye-delta or delta-wye, star-delta, star-mesh, or T-Π.

Illustration of the transform in its T-Π representation.

 

焉不能有聞一知十之思耶?