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Differentiable Manifolds and Diffeomorphisms
71005 Differentiable Manifolds and Diffeomorphisms : Let M and N be differentiable manifolds. Let alpha: M -> N be a local diffeomorphism. Prove that if N is orientable, then M is orientable. Let M and N be differentiable manifolds.
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Simulation of manufacturing time for Bill's Manifolds Inc.
(Values change because random numbers fo simulation keep on changing.)
To fix the values click on Excel Options, click on Formulas and Set workbook calculations as manual. Simulation using Excel for Manufacturing Time and Shipping Time.
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Calculate Car Manufacturing Plant Problem
Consider two products in the same product line. Below is their budgeted selling price and costs.
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Differentiable Manifolds : Let M be a differentiable manifold such that M is orientable and connected. Prove that there exist exactly two distinct orientations on M.
71003 Differentiable Manifolds Let M be a differentiable manifold such that M is orientable and connected. Prove that there exist exactly two distinct orientations on M. Please see the attached file for the complete solution.
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Countable collections
Content: Topological and metric spaces, continuity, subspaces, products and quotient topology, compactness and connectedness, extension theorems, topological groups, topological and differentiable manifolds, tangent spaces, vector fields, submanifolds
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General and Differential Topology
Content: Topological and metric spaces, continuity, subspaces, products and quotient topology, compactness and connectedness, extension theorems, topological groups, topological and differentiable manifolds, tangent spaces, vector fields, submanifolds
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General and Differential Topology
Content: Topological and metric spaces, continuity, subspaces, products and quotient topology, compactness and connectedness, extension theorems, topological groups, topological and differentiable manifolds, tangent spaces, vector fields, submanifolds
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Identifying submanifolds
203261 Differential manifolds and Riemmann geometry Please see the attachment. This solution only refers to question 2. The solution is attached.
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Capillary Rise: Determining the Rise of a Liquid in a Straw
how high the water will rise in both the outer layer of straw and the inner layer of the straw ---- and describe why?
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Identifying submanifolds of R^n
One way is to exhibit the set as the preimage of a continuous map from R^n to R whose derivative map is nonzero on the level set. (This is a special case of a more general theorem.)
