LEADER 04322nam 22006133 450 001 9910958126703321 005 20231110212634.0 010 $a9781470470258 010 $a147047025X 035 $a(MiAaPQ)EBC6939724 035 $a(Au-PeEL)EBL6939724 035 $a(CKB)21420567900041 035 $a(OCoLC)1312158592 035 $a(EXLCZ)9921420567900041 100 $a20220327d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPositive Gaussian Kernels Also Have Gaussian Minimizers 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2022. 210 4$d©2022. 215 $a1 online resource (102 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.276 311 08$aPrint version: Barthe, Franck Positive Gaussian Kernels Also Have Gaussian Minimizers Providence : American Mathematical Society,c2022 9781470451431 327 $aCover -- Title page -- Chapter 1. Introduction -- 1.1. Background and motivation -- 1.2. Notation and main results -- 1.3. Acknowledgments -- Chapter 2. Well-posedness of the Minimization Problem and the Minimum Value -- 2.1. A non-degeneracy condition -- 2.2. Calculations for centered Gaussian functions -- 2.3. Ensuring finiteness for some functions -- 2.4. On the effect of translating Gaussian functions and consequences of positivity -- 2.5. Case analysis and non-degeneracy hypotheses -- Chapter 3. Proof of the Main Theorem -- 3.1. Decomposition of the kernel -- 3.2. More on quadratic forms -- 3.3. Preliminaries and general strategy of the proof -- 3.4. Optimal transport map -- 3.5. Classes of test functions -- 3.6. Transportation argument -- 3.7. Surjectivity of the change of variable map -- 3.8. Approximation argument -- Chapter 4. Geometric Brascamp-Lieb Inequality -- 4.1. Finding the infimum on centered Gaussian functions -- 4.2. Geometric version of Inverse Brascamp-Lieb inequalities -- 4.3. Relation with the results of Chen, Dafnis and Paouris -- Chapter 5. Dual Form of Inverse Brascamp-Lieb Inequalities -- Chapter 6. Interpolation -- Chapter 7. Positivity in the Rank One Case -- 7.1. No kernel -- 7.2. With a kernel -- Chapter 8. Positivity Condition in the General Case -- 8.1. Recursive structure of the problem -- 8.2. Formulation of the characterization result -- 8.3. Useful notation for the proof -- 8.4. Necessity of Condition (C) -- 8.5. Sufficiency of Condition (C) -- Bibliography -- Back Cover. 330 $a"We study lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. We put forward natural conditions when the optimal constant can be computed by inspecting centered Gaussian functions only, and we give necessary and sufficient conditions for this constant to be positive. Our work provides a counterpart to Lieb's results on maximizers of multilinear operators with real Gaussian kernels, also known as the multidimensional Brascamp-Lieb inequality. It unifies and extends several inverse inequalities"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aGaussian processes 606 $aKernel functions 606 $aInequalities (Mathematics) 606 $aIntegral operators 606 $aReal functions -- Inequalities -- Inequalities for sums, series and integrals$2msc 606 $aOperator theory -- Integral, integro-differential, and pseudodifferential operators -- Integral operators$2msc 615 0$aGaussian processes. 615 0$aKernel functions. 615 0$aInequalities (Mathematics) 615 0$aIntegral operators. 615 7$aReal functions -- Inequalities -- Inequalities for sums, series and integrals. 615 7$aOperator theory -- Integral, integro-differential, and pseudodifferential operators -- Integral operators. 676 $a519.2/3 676 $a519.23 686 $a26D15$a47G10$2msc 700 $aBarthe$b Franck$01799928 701 $aWolff$b Pawe?$01799929 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910958126703321 996 $aPositive Gaussian Kernels Also Have Gaussian Minimizers$94344357 997 $aUNINA LEADER 04299nam 2200805 a 450 001 9910961342803321 005 20251104114935.0 010 $a9780674069916 010 $a0674069919 010 $a9780674065086 010 $a0674065085 024 7 $a10.4159/harvard.9780674065086 035 $a(CKB)2550000001039418 035 $a(EBL)3301269 035 $a(SSID)ssj0000883446 035 $a(PQKBManifestationID)11456796 035 $a(PQKBTitleCode)TC0000883446 035 $a(PQKBWorkID)10923910 035 $a(PQKB)10226247 035 $a(MiAaPQ)EBC3301269 035 $a(DE-B1597)178178 035 $a(OCoLC)835640673 035 $a(OCoLC)840442194 035 $a(DE-B1597)9780674065086 035 $a(Au-PeEL)EBL3301269 035 $a(CaPaEBR)ebr10678700 035 $a(Perlego)1147387 035 $a(EXLCZ)992550000001039418 100 $a20111109d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe harm in hate speech /$fJeremy Waldron 205 $a1st ed. 210 $aCambridge, Mass. $cHarvard University Press$d2012 215 $a1 online resource (304 p.) 225 1 $aOliver Wendell Holmes lectures ;$v2009 300 $aDescription based upon print version of record. 311 08$a9780674065895 311 08$a0674065891 320 $aIncludes bibliographical references (p. [235]-278) and index. 327 $tFrontmatter --$tAcknowledgments --$tContents --$t1. Approaching Hate Speech --$t2. Anthony Lewis's Freedom for the Thought That We Hate --$t3. Why Call Hate Speech Group Libel? --$t4. The Appearance of Hate --$t5. Protecting Dignity or Protection from Offense? --$t6. C. Edwin Baker and the Autonomy Argument --$t7. Ronald Dworkin and the Legitimacy Argument --$t8. Toleration and Calumny --$tNotes --$tIndex 330 $aEvery liberal democracy has laws or codes against hate speech-except the United States. For constitutionalists, regulation of hate speech violates the First Amendment and damages a free society. Against this absolutist view, Jeremy Waldron argues powerfully that hate speech should be regulated as part of our commitment to human dignity and to inclusion and respect for members of vulnerable minorities.Causing offense-by depicting a religious leader as a terrorist in a newspaper cartoon, for example-is not the same as launching a libelous attack on a group's dignity, according to Waldron, and it lies outside the reach of law. But defamation of a minority group, through hate speech, undermines a public good that can and should be protected: the basic assurance of inclusion in society for all members. A social environment polluted by anti-gay leaflets, Nazi banners, and burning crosses sends an implicit message to the targets of such hatred: your security is uncertain and you can expect to face humiliation and discrimination when you leave your home.Free-speech advocates boast of despising what racists say but defending to the death their right to say it. Waldron finds this emphasis on intellectual resilience misguided and points instead to the threat hate speech poses to the lives, dignity, and reputations of minority members. Finding support for his view among philosophers of the Enlightenment, Waldron asks us to move beyond knee-jerk American exceptionalism in our debates over the serious consequences of hateful speech. 410 0$aOliver Wendell Holmes lectures ;$v2009. 606 $aHate speech$zUnited States 606 $aFreedom of speech$xPhilosophy 606 $aDiscurs de l'odi$2thub 606 $aLlibertat d'expressió$2thub 606 $aTolerància$2thub 606 $aDrets humans$2thub 607 $aEstats Units d'Amèrica$2thub 608 $aLlibres electrònics$2thub 615 0$aHate speech 615 0$aFreedom of speech$xPhilosophy. 615 7$aDiscurs de l'odi 615 7$aLlibertat d'expressió 615 7$aTolerància 615 7$aDrets humans 676 $a345.73/0256 686 $aAP 17340$2rvk 700 $aWaldron$b Jeremy$0263108 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910961342803321 996 $aThe harm in hate speech$94359998 997 $aUNINA LEADER 03503nam 2200709Ia 450 001 9910974614103321 005 20251117083817.0 010 $a1-280-66247-6 010 $a9786613639400 010 $a0-203-12764-1 010 $a1-136-46398-4 024 7 $a10.4324/9780203127643 035 $a(CKB)2670000000203458 035 $a(EBL)958631 035 $a(OCoLC)798530505 035 $a(SSID)ssj0000677853 035 $a(PQKBManifestationID)11365495 035 $a(PQKBTitleCode)TC0000677853 035 $a(PQKBWorkID)10694596 035 $a(PQKB)10538074 035 $a(MiAaPQ)EBC958631 035 $a(Au-PeEL)EBL958631 035 $a(CaPaEBR)ebr10566722 035 $a(CaONFJC)MIL363940 035 $a(OCoLC)795124237 035 $a(EXLCZ)992670000000203458 100 $a20110822d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHollywood melodrama and the New Deal $epublic daydreams /$fAnna Siomopoulos 205 $a1st ed. 210 $aNew York $cRoutledge$d2012 215 $a1 online resource (167 p.) 225 1 $aRoutledge advances in film studies ;$v13 300 $aDescription based upon print version of record. 311 08$a0-415-88293-1 320 $aIncludes bibliographical references and index. 327 $aCover; Hollywood Melodrama and the New Deal; Copyright; Dedication; Contents; List of Figures; Acknowledgments; Introduction: "Public Daydreams" and the New Deal; 1. Scarface over the White House: The New Deal and the Political Gangster Film; 2. "With Every Step and Every Breath I Took": Mass Culture, Embodied Citizenship, and the Mob Violence Film of the 1930s; 3. "I Didn't Know Anyone Could Be so Unselfi sh": The Welfare State, Consumer Citizenship, and King Vidor's Stella Dallas; 4. "I Know I Done Wrong; I've Done Repent": Black Nationalism, the New Deal, and The Emperor Jones 327 $a5. The Doubleness of "Indemnity": The Welfare State and 1940s Insurance NoirConclusion: Towards a Political Theory of Melodrama; Notes; Bibliography; Index 330 $aWhile many critics have analyzed the influence of the FDR administration on Hollywood films of the era, most of these studies have focused either on New Deal imagery or on studio interactions with the federal government. Neither type of study explores the relationship between film and the ideological principles underlying the New Deal. This book argues that the most important connections between the New Deal and Hollywood melodrama lie neither in the New Deal iconography of these films, nor in the politics of any one studio executive. Rather, the New Deal figures prominently i 410 0$aRoutledge advances in film studies ;$v13. 606 $aMelodrama in motion pictures 606 $aNew Deal, 1933-1939, in motion pictures 606 $aMotion pictures$xPolitical aspects$zUnited States 606 $aMotion pictures$xSocial aspects$zUnited States 615 0$aMelodrama in motion pictures. 615 0$aNew Deal, 1933-1939, in motion pictures. 615 0$aMotion pictures$xPolitical aspects 615 0$aMotion pictures$xSocial aspects 676 $a791.43/6581 676 $a791.436581 700 $aSiomopoulos$b Anna$f1969-$01873042 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910974614103321 996 $aHollywood melodrama and the New Deal$94482957 997 $aUNINA