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Moreover, f is jointly measurable.
Then the map ((omega,x to G omega,x)) is jointly measurable.
Such a function is automatically jointly measurable (see Hu and Papageorgiou [22, p. 142]).
Since ((x,u rightarrowchi x,u)) is a Carathéodory function, it is jointly measurable.
So, ((t,w rightarrow b t,w)) is a Carathéodory function, thus jointly measurable.
"Active force" is jointly measurable as "dead pressure" and "living force"—the full account of force requires a synthesis of Cartesian kinematics and Leibnizian dynamics, notwithstanding their conflicts.
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Use measurable measures.
Most industrial products and processes are characterized by several, typically correlated measurable variables, which jointly describe the product or process quality.
To infer the first claim of the theorem, it remains to show (ii) about F being jointly and (mathbb {F} -progressively measurable.
Measurable: Have a way to measure progress.
Last year the Kuwait Oil Company and the Kuwait Petroleum Corporation were jointly awarded $2.3 billion for the loss of equipment and other measurable assets.
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