Explanation of spaces where norms and inner products are defined! Introduction to a technical column.
In the previous article, we explained the concept of "space" in modern mathematics. The concept of a set exists as "a collection of specific things," and among them, those that can establish some kind of relationship between the elements belonging to it are specifically called "spaces." Additionally, we introduced "linear spaces" and "metric spaces" as concrete examples of spaces. In this article, we will further discuss spaces where norms and inner products are defined. Please feel free to download and take a look. [Contents] ■ Episode 10: What is the H1 Gradient Method? Part 3 "Norm Spaces and Inner Product Spaces" *For more details, please refer to the PDF materials or feel free to contact us.
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Kuin Co., Ltd. is a venture business company specializing in computational mechanics and CAE software development, established with a strong desire to "enter the overwhelmingly overseas-dominated CAE software field with original Japanese products." We are committed to originality and operate under the motto "Dreamy CAE from Japan," focusing on the development, sales, and support of our own CAE software. ≪Software≫ ● Structural Optimization Design OPTISHAPE-TS Useful structural optimization for various situations such as initial design stages and improvements of existing shapes. ● CAD Model Generation S-Generator Converts optimized shapes into CAD models. ● Image-Based Structural Analysis VOXELCON Directly models and analyzes CT images and STL data from CAD. ● General Parameter Optimization AMDESS Parameter optimization done in a way that feels like using spreadsheet software. ● SOLIDWORKS Add-in Structural Optimization Design HiramekiWorks Performs structural optimization within SOLIDWORKS and automatically generates CAD models of the resulting shapes.