ugg italia Some Geometric Inequalities Note _553

Some Geometric Inequalities Notes

Only if the simplex is a regular simplex. Where is the volume of simplex △, and △ that has the same external radius of the regular simplex of the volume. Zhang, Yang Lu in 1981 [4] to obtain: Theorem 5 in n-dimensional simplex △ volume and radius of inscribed sphere of inequality between r: 230 Taiyuan Heavy Machinery Institute in 2004 (10) with equality if and only if △ is a regular simplex. We note that Theorem 4, Theorem 5 is not independent of each other, and they have the following equivalence: Proposition 3,[link widoczny dla zalogowanych], inequality (9) and inequality (10) are equivalent. Proof:: As inscribed in the ball of radius R, n-dimensional regular simplex of the volume of j: that:: R: (11) n! n If the equation (11) into (10) we have (9 ) type; If equation (11) into (9) will have to (1O)-type, so inequality (9), (10) are equivalent. References: [1] Yang Lu, Zhang in. A conjecture on the Alexander [J]. Science Bulletin, 1982, (1) :1-3. [2] Mao Qiji. On \Journal of Mathematics, 1988, (2): 129.134. [3] Yang Lu, Zhang in. Finite point set on a class of geometric inequalities [J]. Mathematics, 1980, (5) :740-749. [4] Zhang, Yang Lu. A class on the particle geometric inequalities [J]. University of Science and Technology of China, 1981,11 (2) :1-8. [5], such as left-Quan,[link widoczny dla zalogowanych], Mao Qiji. M. S. Klamkin PROBLEM [J]. Science Bulletin, 1987,32 (1): 76. [6] Alexandcr. RTheGeometryofMetricandLinearSpace [M]. Springer-Verlag ,1975:57-65. [7] Generalizations. On the tangent point simplex simple proof of a theorem [J]. Anhui Institute of Education, 1988, (2) :1-3. NotesforSomeGeometricInequalitiesYANGShi-guo (Dept.ofMath., AnhuiInstituteofEducation,[link widoczny dla zalogowanych], Hefei230061, China) Abstract: Usingtheoryofgeometricinequalitiesandanalyticmethod, therelationofsomeimportantgeometricine-qualitiesgotintheliteraturesarestudied, andsomenotesforthesegeometricinequalitiesaregiven. Keywords: metricaddition, simplex, volum, inequality leek '(on the next page 222, Continuedfrompage222) Abstract: Theinfluenceofdualphaseheattreatmentscheduleonmicrostructureandperformanceof08Mn2Sihavebeeninvestigated. ResearchhasconfirmedthetechniquetomanufacturehighstrengthsteelwirebyusingIDPsteels. ThewireproducedbyoptimizedparameterswhicharedesignedinthispaperhashighvalueofTnandBn, aswellashighvalueof bite bthatisuptoevenbeyond1800MPa,[link widoczny dla zalogowanych], alsothePb-bathquenchingprocedurecanbeabol-ishedinthisprocessingtechnique. Keywords: steelwire,[link widoczny dla zalogowanych], dualphasetreatment, microstructure, performance

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