Sommaire du Fascicule no. 1

Necessary conditions in generalized-curve problems of the calculus of variations

McShane, E. J.

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p. 1-27

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An inversion formula for the Laplace integral

Boas, Jr., R. P. ; Widder, D. V.

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p. 1-26

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The ergodic theorem for a sequence of functions

Maker, Philip T.

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p. 27-30

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Existence theorems for Bolza problems in the calculus of variations

McShane, E. J.

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p. 28-61

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Monotone coverings and monotone transformations

Wallace, A. D.

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p. 31-37

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Theorems of the Picard type

Helmer, Olaf

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p. 38-47

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A class of continued fractions

Schwartz, H. M.

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p. 48-65

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An analogue of the Staudt-Clausen theorem

Carlitz, L.

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p. 62-67

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Generalizations of non-alternating and non-separating transformations

Vance, E. P.

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p. 66-79

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Arc-spaces

Youngs, J. W. T.

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p. 68-84

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Regular transformations

Puckett, Jr., W. T.

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p. 80-88

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Functions generated by developing power series in continued fractions

Markoff, A.

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p. 85-96

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Some generalizations of the theory of orthogonal polynomials

Peebles, Glenn

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p. 89-100

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The Dirichlet problem for the damped wave equation

Bourgin, D. G.

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p. 97-120

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Theory of cogroups

Eaton, J. E.

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p. 101-107

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Some properties of ${}_3F_2(-n,n+1,\zeta;1,p;v)$

Rice, S. O.

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p. 108-119

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La loi de Jordan-Hölder dans les hypergroupes et les suites génératrices des corps de nombres $\mathfrak{P}$ -adiques

Krasner, Marc

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p. 120-140

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La loi de Jordan-Hölder dans les hypergroupes et les suites generatrices des corps de nombres $\mathfrak{P}$ -adiques. Chapitre II. Suites génératrices des corps de nombres $\mathfrak{P}$ -adiques

Krasner, Marc

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p. 121-135

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Quasi-monotone transformations

Wallace, A. D.

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p. 136-145

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Invariants of a system of linear homogeneous differential equations of the second order

Barnett, I. A. ; Reingold, H.

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p. 141-147

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A class of functions bounded in the unit circle

Wall, H. S.

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p. 146-153

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Entire functions bounded on a line

Boas, Jr., R. P.

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p. 148-169

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Regular curve-families filling the plane, I

Kaplan, Wilfred

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p. 154-185

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Functions of several variables and absolute continuity, I

Calkin, J. W.

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p. 170-186

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The fundamental solution of the parabolic equation

Dressel, F. G.

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p. 186-203

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Functions of several variables and absolute continuity, II

Morrey, Jr., C. B.

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p. 187-215

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On the absolute summability of Fourier series, III

Randels, W. C.

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p. 204-207

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Additive prime number theory in real quadratic fields

Whiteman, Albert Leon

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p. 208-232

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Extending maps of plane Peano continua

Adkisson, V. W. ; Mac Lane, Saunders

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p. 216-228

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A generalization of Poisson’s summation formula

Bochner, S.

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p. 229-234

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A theory of analytic functions in linear associative algebras

Ward, James A.

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p. 233-248

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Bertrand curves and helices

Whittemore, James K.

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p. 235-245

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The representation of functions by Fourier integrals

Domínguez, Alberto González

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p. 246-255

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Orderly differential systems

Thomas, Joseph Miller

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p. 249-290

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Two-to-one transformations

Roberts, J. H.

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p. 256-262

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The first variation in minimal surface theory

Morse, Marston

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p. 263-289

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The law of large numbers for continuous stochastic processes

Doob, J. L.

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p. 290-306

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Positive solutions of binomial inequalities

Thomas, Joseph Miller

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p. 291-297

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Invariants of systems of second order linear differential equations

Levine, Jack

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p. 298-311

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Superposition on monotonic functions

Torrance, Esther McCormick

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p. 307-317

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The dissection of rectangles into squares

Brooks, R. L. ; Smith, C. A. B. ; Stone, A. H. ; Tutte, W. T.

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p. 312-340

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The convergence of expansions resulting from a self-adjoint boundary problem

Galbraith, A. S. ; Warschawski, S. E.

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p. 318-340

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The lattice points of an $n$ -dimensional tetrahedron

Lehmer, D. H.

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p. 341-353

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The Jacobi condition for unilateral variations

Mancill, J. D.

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p. 341-344

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Divisibility properties of integral functions

Helmer, Olaf

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p. 345-356

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The approximation of irrational numbers by fractions with odd or even terms

Robinson, Raphael M.

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p. 354-359

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Infinite powers of matrices and characteristic roots

Oldenburger, Rufus

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p. 357-361

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The jump of almost periodic functions and of Fourier integrals

Szász, Otto

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p. 360-366

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The partial differential equation $\frac{\partial z}{\partial x}+f(x,y)\frac{\partial z}{\partial y}=0$

Rodabaugh, Louis D.

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p. 362-374

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The binary polyhedral groups, and other generalizations of the quaternion group

Coxeter, H. S. M.

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p. 367-379

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A converse theorem concerning the diametral locus of an algebraic curve

Douglas, Jesse

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p. 375-388

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Trilinear forms

Coble, A. B.

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p. 380-395

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A modified moment problem in two variables

Bergman, Stefan ; Martin, W. T.

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p. 389-407

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Conditions on the nodes of a rational plane curve

Coble, Arthur B.

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p. 396-410

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Gillespie measure

Morse, Anthony P. ; Randolph, John F.

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p. 408-419

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The method of orthogonal projection in potential theory

Weyl, Hermann

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p. 411-444

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Note on the inversion of the Laplace integral

Pollard, Harry

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p. 420-424

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The Jacobi condition for extremaloids

Smiley, M. F.

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p. 425-427

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On a theorem of P. A. Smith concerning fixed points for periodic transformations

Eilenberg, Samuel

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p. 428-437

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The difference of consecutive primes

Erdös, P.

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p. 438-441

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A class of inequalities

Caton, Willis B.

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p. 442-461

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Real inversion formulas for Laplace integrals

Pollard, Harry

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p. 445-452

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Characteristic functions of families of sets

Stone, M. H.

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p. 453-457

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A class of differential operators of infinite order, I

Hille, Einar

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p. 458-495

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Annihilators of quadratic forms with applications to Pfaffian systems

McGavock, William G.

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p. 462-473

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Cyclic transitivity

Radó, T. ; Reichelderfer, P.

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p. 474-485

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A set of polynomials

Carlitz, L.

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p. 486-504

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Functions with positive differences

Boas, Jr., R. P. ; Widder, D. V.

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p. 496-503

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Symmetric transformations in Hilbert space

Calkin, J. W.

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p. 504-508

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Approximation to functions by trigonometric polynomials

Offord, A. C.

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p. 505-510

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Remark on a recent paper of O. Ore

Zappa, Guido

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p. 511-512

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Generalized curves

McShane, E. J.

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p. 513-536

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The approximation of functions satisfying a linear partial differential equation

Bergman, Stefan

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p. 537-561

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A compatible integro-differential system

Winton, Lowell S.

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p. 562-578

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The ring of automorphisms of an Abelian group

Shiffman, Max

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p. 579-597

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Sylow theorems for infinite groups

Baer, Reinhold

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p. 598-614

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Laguerre polynomials and the Laplace transform

Shohat, J.

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p. 615-626

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An axiomatic characterization of $L_p$ -spaces

Bohnenblust, F.

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p. 627-640

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Residuated distributive lattices

Ward, Morgan

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p. 641-651

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Fundamental systems of solutions for linear difference equations

Moore, M. G.

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p. 652-657

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Sufficient conditions for various degrees of approximation by polynomials

Walsh, J. L. ; Sewell, W. E.

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p. 658-705

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Integration in abstract space

Jeffery, R. L.

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p. 706-718

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Univalent derivatives of entire functions

Boas, Jr., R. P.

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p. 719-721

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Restrictions imposed by certain functions on their Fourier transforms

Levinson, N.

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p. 722-731

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Nunmerical analysis of certain free distributive structures

Church, Randolph

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p. 732-734

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Linear forms and polynomials in a Galois field

Carlitz, L.

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p. 735-749

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A note on strongly irreducible maps of an interval

Harrold, Jr., O. G.

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p. 750-752

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Conjugate nets and associated quadrics

MacQueen, M. L.

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p. 753-767

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