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Some parts of the globe parts of North America, in particular—seemed to be a continuous field of light.
Let ((Phi_{t})_{t in Omega }) be a continuous field of positive linear maps from (mathcal {B}(mathcal {H})) into (mathcal {B}(mathcal {K})) such that the function (t mapsto Vert Phi_{t}(I) Vert ) is Lebesgue integrable.
Let ((A_{t})_{t in Omega }) be a continuous field of positive definite matrices in (mathbb {M}_{k}) such that (operatorname {Sp}(A_{t}) subseteq[m,M] subseteq 0,infty)) for each (t in Omega ).
Let ((A_{t})_{t in Omega }) be a continuous field of positive operators in (mathcal {B}(mathcal {H})) such that (operatorname {Sp}(A_{t}) subseteq[m,M] subseteq (0,infty)) for each (t in Omega ).
Let ((Phi_{t})_{t in Omega }) be a continuous field of positive linear maps from (mathbb {A}) into (mathbb {B}) such that the function (t mapsto Vert Phi_{t}(I) Vert ) is Lebesgue integrable.
Let ((A_{t})_{t in Omega }) be a continuous field of positive operators in (mathbb {A}) such that (operatorname {Sp}(A_{t}) subseteq[m,M] subseteq 0,infty)) for each (t in Omega ).
Similar(49)
Other descriptions included an analysis of consciousness as a form of relationship or act of the mind toward objects in nature, and a view that consciousness was a continuous field or stream of essentially mental "sense data," roughly similar to the "ideas" of earlier empirical philosophers.
The C∗-algebra of bimodule mappings with a right adjoint is a continuous field of finite dimensional C∗-algebras over a compact Hausdorff space, whose fiber dimensions are bounded above by the index.
It is shown that the Doplicher Roberts algebra (DR-algebra in the following) associated to an object in the extension of a strict tensor C∗-category is a continuous field of DR-algebras coming from the initial one.
In the case of the category of the hermitian vector bundles over Ω the general result implies that the DR-algebra of a vector bundle is a continuous field of Cuntz algebras.
This means there's a continuous field of energy blade, ensuring that any sliding opponent blade won't just cut straight through the horizontal emitters at the T-joint in the original version.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com