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x obj, y obj, x coll and y coll were substituted for θ and φ based on analytic geometry.
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One of them is based on analytic vectors.
Based on the analytic geometry, the spatial relation between the feed eye and the mandrel was outlined and the kinematic equations for coupling the motion of the mandrel and the feed eye were derived.
Its it infrastructure will be based on analytics and the cloud.
Everything will reevaluated based on analytics.
Automate actions based on analytics.
In geometry Cayley concentrated his attention on analytic geometry, for which he naturally employed invariant theory.
Because the characterization we used is borrowed from a definition in derived geometry, this work should be read as a derived perspective on analytic geometry.
These applications are based on three-dimensional analytic geometry.
Based on the spatial analytic geometry and the reflection law (in vector form), space propagation rules for laser beam are derived.
All of the mentioned studies are based on Euclidean geometry.
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