Convex up, concave down, and inflection points
Convex and Concave Functions
... study convex and concave functions and use them to drive arithmetic-geometric mean inequality, A-G-H mean inequality, Chebyshey's inequality, Holder inequality, Minkowski's inequality and Jensen's ...
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Multivariate concave and convex stochastic dominance
... multivariate concave and convex stochastic ...the concave case and with the opposite preference for combining good with good and bad with bad in the convex ...infinite-degree concave ...
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Computing Normalized Equilibria in Convex-Concave Games
... To comply with some freedom of individual choice the algorithms devel- oped here are fairly decentralized. However, since coupling constraints must be enforced, repeated coordination is needed while underway towards ...
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions
... OF CONCAVE AND CONVEX FUNCTIONS HUAN-NAN SHI, TIE-QUAN XU, AND FENG QI ...of convex and concave functions are proved and generalized once ...
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... Recommended by Martin Schechter We consider the existence of multiple solutions of the elliptic equation on R N with concave and convex nonlinearities. Copyright q 2009 Kuan-Ju Chen. This is an open access ...
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Discrete tomography by convex–concave regularization and D.C. programming
... c Siemens Medical Solutions, D-91301 Forchheim, Germany Received 6 October 2003; received in revised form 4 May2004; accepted 10 February2005 Abstract We present a novel approach to the tomographic reconstruction of ...
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Jensen's Inequality for Convex Concave Antisymmetric Functions and Applications
... where f is a convex function on a − ε, b ε, ε > 0, x i ∈ a, b, and p i > 0 for i 1, . . . , n. If f is concave, the reverse inequalities hold in 2.7. Now, suppose the conditions in Theorem 2.1 are fulfilled ...
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Laplace’s equation with concave and convex boundary nonlinearities on an exterior region
... 6. Bartsch, T.: Infinitely many solutions of a symmetric Dirichlet problem. Nonlinear Anal. 20, 1205–1216 (1993) 7. Bartsch, T., Willem, M.: On an elliptic equation with concave and convex nonlinearities. ...
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Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... Full list of author information is available at the end of the article Abstract We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and ...
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Design formulae for a concave convex arc line gear mechanism
... of concave convex arc tooth ...of concave convex tooth ...a convex, that of a driven line gear is a concave, and they are ...a concave convex arc line gear ...
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MOCCA: Mirrored Convex/Concave Optimization for Nonconvex Composite Functions
... (mirrored convex/concave) algorithm, a primal/dual optimization approach that takes a local convex approximation to each term at every ...approximately convex (that is, any concavity in one ...
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An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies
... uniformly convex body and for a class of uniformly log-concave measures (that we ...uniformly convex bodies, similar to that proved by Gromov, Milman ...uniformly convex Banach spaces, ...
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A Novel Trajectory Optimization for Affine Systems: Beyond Convex-Concave Procedure
... Beyond Convex-Concave Procedure Fatemeh Rastgar, Arun Kumar Singh, Houman Masnavi, Karl Kruusamae, Alvo Aabloo Abstract— Trajectory optimization problems under affine motion model and convex cost ...
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Convex and concave types of second baroclinic mode internal solitary waves
... A convex wave was generated when the middle-layer thickness was relatively thinner than the upper and lower layers, whereas only a concave wave could be produced when the middle-layer thickness was greater ...
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Experimental investigation of the flow-induced vibration of a curved cylinder in convex and concave configurations
... a concave and a convex, were tested regarding the direction of the flow, in addition to a straight cylinder that served as ...with concave and convex configurations revealed significantly ...
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Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
... Goyal, S, Sreenadh, K: A Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions (2013).. Chen, WJ, Deng, SB: The Nehari man[r] ...
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Lesson. Objectives. Compare how plane, convex, and concave. State the law of reflection.
... A convex mirror is a spherical refl ecting surface in which its bulging side faces the source of ...Since convex mirrors have wider fi elds of view than other refl ective surfaces, such as plane mirrors or ...
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Concave-convex local binary features for automatic target recognition in infrared imagery
... Concave-convex partition Since the neighborhoods with different visual perception may have the same binary code by the LBP-based oper- ators, we can differentiate them from each other before computing the ...
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Lesson 29: Lenses. Double Concave. Double Convex. Planoconcave. Planoconvex. Convex meniscus. Concave meniscus
... ● That way it will be able to refract the light as it passes through. ● Also, to get an image that isn't screwed up, we have to assume that the lens is thin. The shape of a lens is named in a similar way to the ...
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