Maxwell’s Formulation – Differential Forms on Euclidean Space

Maxwell’s Formulation – Differential Forms on Euclidean Space

Author: Jing Wang

Institute: School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

 

maxwell

 

One of the greatest advances in theoretical physics of the nineteenth century was Maxwell’s formulation of the the equations of electromagnetism. This article uses differential forms to solve a problem related to Maxwell’s formulation. The notion of differential form encompasses such ideas as elements of surface area and volume elements, the work exerted by a force, the flow of a fluid, and the curvature of a surface, space or hyperspace. An important operation on differential forms is exterior differentiation, which generalizes the operators div, grad, curl of vector calculus. the study of differential forms, which was initiated by E.Cartan in the years around 1900, is often termed the exterior differential calculus.However, Maxwell’s equations have many very important implications in the life of a modern person, so much so that people use devices that function off the principles in Maxwell’s equations every day without even knowing it.

 

 

Source: http://webcabinet.tumblr.com/post/118277898037/maxwells-formulation-differential-forms-on

 

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麥克斯韋公式 – 在歐幾裏得空間的微分形式

Maxwell’s Formulation – Differential Forms on Euclidean Space
Author: Wang Jing
Institute: School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

 

maxwell_equation

 

One of the greatest advances in theoretical physics of the nineteenth century was Maxwell’s formulation of the the equations of electromagnetism. This article uses differential forms to solve a problem related to Maxwell’s formulation. The notion of differential form encompasses such ideas as elements of surface area and volume elements, the work exerted by a force, the flow of a fluid, and the curvature of a surface, space or hyperspace. An important operation on differential forms is exterior differentiation, which generalizes the operators div, grad, curl of vector calculus. the study of differential forms, which was initiated by E.Cartan in the years around 1900, is often termed the exterior differential calculus.However, Maxwell’s equations have many very important implications in the life of a modern person, so much so that people use devices that function off the principles in Maxwell’s equations every day without even knowing it.

 

Source:
http://ittechnology.lofter.com/post/1cfbf60d_6f2832c

 

蝴蝶爱情 – 愿得一人心,白首不相离。化蝶比翼飞,生死永相随

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蝴蝶爱情

愿得一人心,白首不相离。化蝶比翼飞,生死永相随。

爱情似蝴蝶!之所以相似,不是因为它们都脆弱美丽,也不是因为它们都引人注意,而是它们生命的轨迹,竟如此的雷同。让我惊讶于,是蝴蝶为爱而生,还是爱情在诠释蝴蝶的生命。 ­

蝶爱之幼虫的烦恼 ­

爱情伊始,每个人都在寻找,寻找自己的心动。他们还是那么的青涩,初次的爱恋总让人神往,但同时,他们又都那么迷茫,那么不知所措。迷茫出自对自己的无 知,还无法定义自己是怎样的人;不知所撮出自对爱情的不了解,疑问于我要找的人是什么样的。就像蝴蝶幼虫一样,烦恼于自己是什么,什么才是我的方向。 ­

蝶爱之破茧的华丽

爱情发生,一切来的都那么突然,又都那么顺理成章,灯火阑珊处找的那个人就是我的真爱,当他们确定,一定以及肯定后,他们在一起了成了情侣。从此爱情开始了一段甜蜜的旅程,他们整天腻味在一起,卿卿我我,神仙眷侣一般。朋友们会羡慕祝福,家人也支持赞许

若红尘似水,今生只愿为她泅渡。饮尽侯守的孤独。

像一场细雨洒落我心底, 那感觉如此神秘。 我不禁抬起头看着你, 而你并不露痕迹。”

 

 

蝶比翼:
http://www.diebiyi.com/
http://www.diebiyi.com/articles/
背景音乐:梁祝小提琴协奏曲
背景图片:蝴蝶

 

制作:
Justqdjing (谷雨) (http://www.tetraph.com/essayjeans)
(http://www.tetraph.com/wangjing)

 

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