Abstract. In this short paper, we compute the volume of n-dimensional balls in Rn. The computations rely on techniques from multivariable calculus and a few properties of the gamma function. Acknowledgements: I would like to thank my mentor, Professor Mike Munn, for his guidance throughout this project, as well as my family for their lasting support. Page 238 RHIT Undergrad. Math. J., Vol. 15, No. 1
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is ...
International audienceWe show that the Euclidean ball has the smallest volume among sublevel sets of...
This thesis studies the volume of the unit ball of finite-dimensional Lorentz sequence spaces p,q n ...
In this short paper, we compute the volume of n-dimensional balls in ℝn. The computations rely on te...
International audienceBalls and spheres are amongst the simplest 3D modeling primitives, and computi...
The volume of the unit ball of the Lebesgue sequence space `mp is very well known since the times of...
International audienceWe provide an overview of technics that lead to an Euclidean upper bound on th...
Abstract. In this paper, some monotoneity and concavity properties of the gamma, beta and psi functi...
Geometry in very high dimensions is full of surprises, many of the properties of high dimensional ge...
AbstractLet Ωn=πn/2/Γ(1+n/2) be the volume of the unit ball in Rn. We determine the best possible co...
Abstract The purpose of this paper is to study the notion of the quasihyperbolic volume and to find...
The entropy bounds for constructive upper bound on the needed number-of-bits for solving a dichotomy...
We discuss the problem of computing the volume of a convex body K in IR n . We review worst-case r...
Abstract: "We discuss the problem of computing the volume of a convex body K in R[superscript n]. We...
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimen...
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is ...
International audienceWe show that the Euclidean ball has the smallest volume among sublevel sets of...
This thesis studies the volume of the unit ball of finite-dimensional Lorentz sequence spaces p,q n ...
In this short paper, we compute the volume of n-dimensional balls in ℝn. The computations rely on te...
International audienceBalls and spheres are amongst the simplest 3D modeling primitives, and computi...
The volume of the unit ball of the Lebesgue sequence space `mp is very well known since the times of...
International audienceWe provide an overview of technics that lead to an Euclidean upper bound on th...
Abstract. In this paper, some monotoneity and concavity properties of the gamma, beta and psi functi...
Geometry in very high dimensions is full of surprises, many of the properties of high dimensional ge...
AbstractLet Ωn=πn/2/Γ(1+n/2) be the volume of the unit ball in Rn. We determine the best possible co...
Abstract The purpose of this paper is to study the notion of the quasihyperbolic volume and to find...
The entropy bounds for constructive upper bound on the needed number-of-bits for solving a dichotomy...
We discuss the problem of computing the volume of a convex body K in IR n . We review worst-case r...
Abstract: "We discuss the problem of computing the volume of a convex body K in R[superscript n]. We...
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimen...
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is ...
International audienceWe show that the Euclidean ball has the smallest volume among sublevel sets of...
This thesis studies the volume of the unit ball of finite-dimensional Lorentz sequence spaces p,q n ...