A glance at Apple's homepage from Sunday via the Wayback Machine might indicate where its interests typically lie: products, products everywhere.
If the Lie products in the statements of the theorems in this section are replaced by the Jordan products, then one obtains Jordan derivations instead of Lie derivations.
If the Lie products in the statements of the theorems in this section are replaced by the Jordan products, then one obtains Jordan -algebra homomorphisms instead of Lie -algebra homomorphisms.
For Amazon, Alexa's future lies IoT products such as connected alarm clocks, smart lights and sprinkler systems, but it is likely to be baked into Amazon's tablets, smartphones and e-readers, just like Siri.
While rubber prices are already set on commodity exchanges, which are so efficient that Internet exchanges are unlikely to improve upon them, a third of Continental's purchasing costs lies in products that do not even go into tires.
For manufactures of fabric reinforcements, the best growth possibilities appear to lie with products designed specifically for increasingly popular closed moulding techniques.
A -algebra, endowed with the Lie product on, is called a Lie -algebra (see [9 11]).
We begin this section by describing what is called the Lie product formula.
The Lie product is taken between n elements of the algebra instead of two.
A C*-algebra C, endowed with the Lie product [ x, y ] : = x y - y x 2 on C, is called a Lie C*-algebra (see, [17 19]).
A fuzzy C ∗ -algebra, endowed with the Lie product [ x, y ] : = x y − y x 2. on, is called a fuzzy Lie C ∗ -algebra (see [18 20]).
