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Let $L=\mathbb{R}^2\times U(1)$ be the trivial $U(1)$-bundle over $\mathbb{R}^2$. Define a connection $\nabla=d+A$ where $A=fdx+gdy$ is an $\mathbb{R}$ valued $1$-form on $L$. That is, $\nabla$ gives a distribution $\mathcal{H}$ on $L$ - the horizontal distribution.
The distribution $\mathcal{H}...
Australian megafauna comprises a number of large animal species in Australia, often defined as species with body mass estimates of greater than 45 kilograms or equal to or greater than 130% of the body mass of their closest living relatives. Many of these species became extinct during the Pleistocene (16,100±100 – 50,000 years BC).
There are similarities between prehistoric Australian megafauna and some mythical creatures from the Aboriginal dreamtime (Mackness 2009).
== Causes of extinction ==
The cause of the extinction is an active, contentious and factionalised field of research where politics...
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Because $\bar u \gamma^0 = u^\dagger$
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In power transmission lines, as power remains constant, according to $P=VI$, current decreases when voltage increases. But inside our house current increases when voltage increases. Thus Ohm's law is being followed. But why?
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