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HELLO! is the definitive global authority on all things royal. Whether Prince William and Princess Kates hectic schedule, Harry and Meghan's family life in the US, King Charles coronation ...

Celebrities: Latest news, pictures, exclusive interviews & features from HELLO! A look at the hottest celebrity relationships, pregnancies & break ups

Harriet Sperling's teenage daughter made her debut with the British royal family on Easter Sunday. Find out what a body language expert had to say about Georgina's appearance with the royals.

Sabrina Carpenter stunned in Perfect magazine's latest cover shoot with the "Manchild" singer, where she showcased her dramatic transformation from bouncy blonde locks to dark brunette.

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Alice Cooper and wife Sheryl honored their 50th wedding anniversary on Saturday by renewing their vows in front of 220 guests and HELLO! has all the exclusive details.

HELLO! brings you the latest celebrity & royal news from the UK & around the world, magazine exclusives, fashion, beauty, lifestyle news, celeb babies, weddings, pregnancies and more!

The latest fashion trends and features in HELLO!. Have a look at the high street must-haves, celebrities fashion and all the style secrets from the Royal family.

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Thus, the trace of the transformed tensor is:
oxed{\sigma}
A science communicator is creating a video about the geometry of light paths in optical fibers. They describe a scenario where a light ray enters a fiber at an angle \( heta\) relative to the normal. If the refractive index of the fiber is \(n\), find the angle \(\phi\) of the light ray relative to the fiber's axis after refraction, using Snell's Law, and express \(\cos \phi\) in terms of \( heta\) and \(n\).

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