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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces ${mathbf R_1(t)}$, ${mathbf R11(t)}$.
📌 3 Key Takeaways
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Objective & Hypothesis:Using dual vectors, space-like ruled surfaces was introduced in [2].
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Key Findings & Data:In this paper, we define space-like line congruence and their space-like parameter ruled surfaces ${mathbf R_11(t)}$ and ${mathbf R21(t)}$ of $R^1_3$.
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Conclusion & Impact:Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces ${mathbf R_1(t)}$, ${mathbf R11(t)}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Using dual vectors, space-like ruled surfaces was introduced in [2]. In this paper, we define space-like line congruence and their space-like parameter ruled surfaces ${mathbf R_11(t)}$ and ${mathbf R21(t)}$ of $R^1_3$. Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces ${mathbf R_1(t)}$, ${mathbf R11(t)}$.
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Cite This Article
ÖZYILMAZ, E. (2022). Some results on space-like line congruences and their space-like parameter ruled surfaces. Turkish Journal of Mathematics, Cilt: 23 - Sayı: 2, 333–344. https://ajindex.com/articles/608945