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Indispensable geometry, referred to as geometric chance some time past, originated from Buffon's needle scan. outstanding advances were made in different parts that contain the idea of convex our bodies. This quantity brings jointly contributions by means of top foreign researchers in critical geometry, convex geometry, advanced geometry, chance, data, and different convexity comparable branches. The articles disguise either contemporary effects and interesting instructions for destiny study.

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6. H. G. Eggleston, The maximal length of chords bisecting the area or perimeter length of plane convex sets, Jour. London Math. Soc. 36 (1961), 122-128. 7. P. R. Goodey, A characterization of circles, Bull. London Math. Soc. 4 (1972), 199-201. 8. P. R. Goodey, Mean square inequalities for chords of convex sets, Israel Jour. Math. 42 (1982), 132-150. 9. Hans Herda, A conjectured characterization of circles, Amer. Math. Monthly 78 (1971), 888-889. 10. Hans Herda, A characterization of circles and other closed curves, Amer.

Korean Math. Soc, no. 40, (2003), no. 4, 577-593. 2. , The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds, J. Operator Theory, no. 12, (1984), 339-383. 3. , Integral geometry on kdimensional planes, Funct. Anal. , no. 1, (1967), 14-27. 4. Ja. , A problem of integral geometry connected with a pair of Grassmann manifolds, Dokl. Akad. Nauk SSSR, 193, no. 2, (1970), 892-896. 5. B. , Pfaffian systems and Radon transforms on affine Grassmann manifolds, Math.

Eastwood, M. ; Gover, A. ; Mason, L. J Complex analysis and the Funk transform J. Korean Math. Soc, no. 40, (2003), no. 4, 577-593. 2. , The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds, J. Operator Theory, no. 12, (1984), 339-383. 3. , Integral geometry on kdimensional planes, Funct. Anal. , no. 1, (1967), 14-27. 4. Ja. , A problem of integral geometry connected with a pair of Grassmann manifolds, Dokl. Akad. Nauk SSSR, 193, no. 2, (1970), 892-896.