Over an algebraically closed field, all semisimple Lie algebras are splittable.

Over a non-algebraically closed field not every semisimple Lie algebra is splittable, however.

Instead of "separate" or "separable", some text books use the word "split" or "splittable".

The mercury is still splittable (apart from the Solid state), and it is still a requirement in order to complete some levels.

If a Lie algebra admits a splitting, it is called a splittable Lie algebra.

As well as the normal state, using a heater will turn the mercury into the 'Hot' state, a fine and easily splittable liquid.

Lying 202 light years away, Lambda Coronae Australis is a double splittable in small telescopes.

In a splittable Lie algebra, there may exist Cartan subalgebras that are not splitting.

All components were built into a large wooden box, and several features were added, including the ability to display musical notation and splittable keyboards.

Theta 1 and Theta 2 Microscopii make up a wide double whose components are splittable to the naked eye.

Although the requirement for splittable trains was lifted, concerns remain over the length of ICE trainsets, fire safety and the ICE's distributed power arrangements.

Bang-le yi ge da mang (offered a big helping hand): A corpus study of the splittable compounds in spoken and written Chinese.

A split link is said to be splittable, and a link that is not split is called a non-split link or not splittable.

Direct sums of splittable Lie algebras and ideals in splittable Lie algebras are splittable.

Igor Kurchatov, L. D. Landau, Kirill Sinelnikov, were among those Soviet Scientists that helped establish, and prove the existence of a splittable atom.

Over a non-algebraically closed fields, not all Cartan subalgebras are conjugate in general; however, in a splittable semisimple Lie algebra all splitting Cartan algebras are conjugate.

With the dual Reds in the bridge being splittable, you can choose neck, bridge dual, bridge single, or combinations of neck and dual bridge as well as neck and single bridge.

Before this in December 2009, Deutsche Bahn received permission to run Intercity-Express (ICE 3M) trains through the Channel Tunnel after a safety requirement to have splittable passenger trains was lifted.

An important class are splitting Cartan subalgebras: if a Lie algebra admits a splitting Cartan subalgebra then it is called splittable, and the pair is called a split Lie algebra; over an algebraically closed field every semisimple Lie algebra is splittable.