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The trace operator can be defined for functions in the Sobolev spaces with , see the section below for possible extensions of the trace to other spaces. Let for be a bounded domain with Lipschitz boundary. Then [1] there exists a bounded linear trace operator. such that extends the classical trace, i.e. for all .
Trace Dempsey Cyrus [1] (born Neil Timothy Helson; February 24, 1989) is an American musician. The son of country music singer Billy Ray Cyrus and brother of recording artists Miley Cyrus and Noah Cyrus, he was the backing vocalist and guitarist of the band Metro Station. In 2010, he began providing vocals and guitar in the pop rock band ...
The Encyclopedia of Popular Music. [1] Traces is the third album by Classics IV, released in 1969 on Imperial Records. The album was released in Japan as Everyday with You Girl, albeit with different sequencing and three additional tracks included. [3] The album peaked at No. 45 on the Billboard Top LPs, making it the band's most successful album.
Von Neumann's trace inequality and related results. Von Neumann's trace inequality, named after its originator John von Neumann, states that for any complex matrices and with singular values and respectively, [26] with equality if and only if and share singular vectors. [27]
May 2, 2001. Buffalo Trace Distillery is a distillery in Frankfort, Kentucky, United States, owned by the Sazerac Company. [2] It has historically been known by several names, including the George T. Stagg Distillery and the Old Fire Copper (O.F.C.) Distillery. [3] [4] Its namesake bourbon brand, Buffalo Trace Kentucky Straight Bourbon whiskey ...
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The Crusades of 1239–1241. The Crusades of 1239–1241, also known as the Barons' Crusade, were a series of crusades to the Holy Land that, in territorial terms, were the most successful since the First Crusade. [151] The major expeditions were led separately by Theobald I of Navarre and Richard of Cornwall. [152]
A trace element is a chemical element of a minute quantity, a trace amount, especially used in referring to a micronutrient, [1] [2] but is also used to refer to minor elements in the composition of a rock, or other chemical substance . In nutrition, trace elements are classified into two groups: essential trace elements, and non-essential ...