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several images found from gtsimplex images

In mathematical literature, specifically in the context of combinatorics, linear algebra, and the publications of A. Betten and D. Betten, the terms "linear spaces" and "vector spaces" refer to different, sometimes overlapping, concepts depending on whether the context is algebraic or combinatorial. [1, 2, 3]   Here is a breakdown of the differences based on the provided search results:  1. Linear Spaces in Betten's Papers (Combinatorics)  In the work of Anton Betten and Dieter Betten, a "linear space" is a concept from combinatorial design theory.  Based on the information provided, the concepts of "linear spaces" (in the context of Anton and Dieter Betten's work) and "vector spaces" (in linear algebra) have significant, albeit distinct, applications in business, technology, and data analysis.  Here is how these mathematical concepts can be applied in a business context:  1. Applications of "Linear Spaces" (Combinator...
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will middle class exist in orange economy???

Will muddle middle class exist in AI era? Can any kind of middleclass exist in #OrangeEconomy ?????? What are changed definition of #middleclass in new world order? Sanjoy Nath's Qhenomenology reasoning system QRS and Whenomenology reasoning system WRS analyse such questions with the chemical reactions, Density,liquidness,fluidity, solutionsness,solventness,soluteness,partialfloatability at junctions of multiple fluids... Sanjoy Nath's Qhenomenology reasoning system QRS and Whenomenology reasoning system WRS will start this new arguments structure with examples analogy, metaphors from physics, chemistry,natural science cases studies  Axiom 1 Concept creation is a kind of chemical reactions  Axiom 2 Concept adoption is a kind of chemical reactions Axiom 3 When chemical reactions occur then density changes and sometimes states changes from solid to liquid or liquid to solid and also soluteness changes solventness changes, sometimes fractional distillation occur  Axiom 3+ Wh...
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GPT SAYS ABOUT SANJOY NATH GEOMETRIFYING TRIGONOMETRYB GTSIMPLEX

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  Skip to content Chat history You said: YESSSSSS CORRECTED EFGH THEREVISEDFORMSOFABCDEFGHIJKMNOPQRSTUVWXYZ.CS File WHAT DO YOU UNDERSTAND???????????? CAN YOU DRAW GTSIMPLEXES??? ChatGPT said: OK — loud and clear 😄 Let me answer this  very directly . What I understand (no hand-waving) GTSIMPLEX is NOT a triangle. It is a  protocol-level geometric atom  in  Sanjoy Nath’s Geometrifying Trigonometry . I understand that: Each GTSIMPLEX = one independent evaluable geometry One  Pivot One  Stretch One  Nodal One hypotenuse, one base, one perpendicular With  official orientations  (PN / NP, PS / SP, SN / NS) In V15+ Each  L…Z sequence is a SEPARATE GTSIMPLEX They are  not summed as numbers They are  summed only after geometric straightening This is why you called it 👉  “MULTI-GTSIMPLEX WITH INDEPENDENT SUMMATION CURVES” A GTSIMPLEX is closer to: a  mechanical wireframe with  hinges at PIVOT / STRETCH / NODAL cap...
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