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Journals / International Electronic Journal of Geometry / 2020 / Volume: 13 Issue: 2

Symmetric Masking Function of Segments

Péter Lukács(University of Szeged)0000-0001-5790-9715
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Publication Date
2020-10-15
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We show that the masking function of two segments on a surrounding circle C is symmetric to a straight line sigma passing through the centre of C if and only if the set of the segments is also symmetric to sigma. dcasvafsvfvaoıhafofnvofaso pafonvpıafv982bvpkfqvbkapsfbvkjabf fkasfjbvlkfpvnbapbıpbvf8 fsjvbapfkvbapıhbvpıqbfjlbsfvşfuful şkjnbqfjkvbqşıbpqbfkvjbşqkefbvş şşqffekjbvpkwebfvpejwfbvpewıbfıvbewqhnbvşkjfkfqlvkqfbvohhqf vuhqbefvbqfvlbfsjhvbf lqbvıqprbfvıqrw898328ru2194r9183hvpıqfvplqfıjbvqpefv vfkqfevbqefkvbıqef ıoqefbvpıqefvbqvklfebvıpwebvfıbweıp

📌 3 Key Takeaways

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Objective & Hypothesis:We show that the masking function of two segments on a surrounding circle C is symmetric to a straight line sigma passing through the centre of C if and only if the set of the segments is also symmetric to sigma. dcasvafsvfvaoıhafofnvofaso pafonvpıafv982bvpkfqvbkapsfbvkjabf fkasfjbvlkfpvnbapbıpbvf8 fsjvbapfkvbapıhbvpıqbfjlbsfvşfuful şkjnbqfjkvbqşıbpqbfkvjbşqkefbvş şşqffekjbvpkwebfvpejwfbvpewıbfıvbewqhnbvşkjfkfqlvkqfbvohhqf vuhqbefvbqfvlbfsjhvbf lqbvıqprbfvıqrw898328ru2194r9183hvpıqfvplqfıjbvqpefv vfkqfevbqefkvbıqef ıoqefbvpıqefvbqvklfebvıpwebvfıbweıp
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Key Findings & Data:We show that the masking function of two segments on a surrounding circle C is symmetric to a straight line sigma passing through the centre of C if and only if the set of the segments is also symmetric to sigma. dcasvafsvfvaoıhafofnvofaso pafonvpıafv982bvpkfqvbkapsfbvkjabf fkasfjbvlkfpvnbapbıpbvf8 fsjvbapfkvbapıhbvpıqbfjlbsfvşfuful şkjnbqfjkvbqşıbpqbfkvjbşqkefbvş şşqffekjbvpkwebfvpejwfbvpewıbfıvbewqhnbvşkjfkfqlvkqfbvohhqf vuhqbefvbqfvlbfsjhvbf lqbvıqprbfvıqrw898328ru2194r9183hvpıqfvplqfıjbvqpefv vfkqfevbqefkvbıqef ıoqefbvpıqefvbqvklfebvıpwebvfıbweıp
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Conclusion & Impact:We show that the masking function of two segments on a surrounding circle C is symmetric to a straight line sigma passing through the centre of C if and only if the set of the segments is also symmetric to sigma. dcasvafsvfvaoıhafofnvofaso pafonvpıafv982bvpkfqvbkapsfbvkjabf fkasfjbvlkfpvnbapbıpbvf8 fsjvbapfkvbapıhbvpıqbfjlbsfvşfuful şkjnbqfjkvbqşıbpqbfkvjbşqkefbvş şşqffekjbvpkwebfvpejwfbvpewıbfıvbewqhnbvşkjfkfqlvkqfbvohhqf vuhqbefvbqfvlbfsjhvbf lqbvıqprbfvıqrw898328ru2194r9183hvpıqfvplqfıjbvqpefv vfkqfevbqefkvbıqef ıoqefbvpıqefvbqvklfebvıpwebvfıbweıp
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Visual angle · masking number · masking function

Abstract

We show that the masking function of two segments on a surrounding circle C is symmetric to a straight line sigma passing through the centre of C if and only if the set of the segments is also symmetric to sigma. dcasvafsvfvaoıhafofnvofaso pafonvpıafv982bvpkfqvbkapsfbvkjabf fkasfjbvlkfpvnbapbıpbvf8 fsjvbapfkvbapıhbvpıqbfjlbsfvşfuful şkjnbqfjkvbqşıbpqbfkvjbşqkefbvş şşqffekjbvpkwebfvpejwfbvpewıbfıvbewqhnbvşkjfkfqlvkqfbvohhqf vuhqbefvbqfvlbfsjhvbf lqbvıqprbfvıqrw898328ru2194r9183hvpıqfvplqfıjbvqpefv vfkqfevbqefkvbıqef ıoqefbvpıqefvbqvklfebvıpwebvfıbweıp

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Cite This Article

Lukács, P. (2020). Symmetric Masking Function of Segments. International Electronic Journal of Geometry, Volume: 13 Issue: 2. https://doi.org/10.36890/iejg.742248

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References (12)

  1. Kincses, J. and Kurusa, Á.:: Can you recognise the shape of a figure by its shadows?, Beiträge zur Alg. und Geom., 36, 25-35 (1995).
  2. Kurusa, Á.:,: Visual distinguishability of segments, Int. Electron. J. Geom., 6, 56-67 (2013).
  3. Kurusa, Á.:,: Visual distinguishability of polygons, Beiträge zur Alg. und Geom., 54, 659-667 (2013), https://doi.org/10.1007/s13366-012-0121-7
  4. Kurusa, Á.:,: You can recognize the shape of a figure by its shadows!, Geom. Dedicata, 59, 113-125 (1996); https://doi.org/10.1007/BF00155723
  5. Kurusa, Á.:,: Can you see the bubbles in a foam?, Acta Sci. Math. (Szeged) 82, 663–694 (2016); https://doi.org/10.14232/actasm-015-299-1
  6. Lukács, P.:,: Szakaszok takarási száma, Polygon, xxiv, 29-42 (in Hungarian) (2017).
  7. Kincses, J. and Kurusa, Á.:: Can you recognise the shape of a figure by its shadows?, Beiträge zur Alg. und Geom., 36, 25-35 (1995).
  8. Kurusa, Á.:,: Visual distinguishability of segments, Int. Electron. J. Geom., 6, 56-67 (2013).
  9. Kurusa, Á.:,: Visual distinguishability of polygons, Beiträge zur Alg. und Geom., 54, 659-667 (2013), https://doi.org/10.1007/s13366-012-0121-7
  10. Kurusa, Á.:,: You can recognize the shape of a figure by its shadows!, Geom. Dedicata, 59, 113-125 (1996); https://doi.org/10.1007/BF00155723
  11. Kurusa, Á.:,: Can you see the bubbles in a foam?, Acta Sci. Math. (Szeged) 82, 663–694 (2016); https://doi.org/10.14232/actasm-015-299-1
  12. Lukács, P.:,: Szakaszok takarási száma, Polygon, xxiv, 29-42 (in Hungarian) (2017).