Rocky Mountain Journal of Mathematics

Papers
(The median citation count of Rocky Mountain Journal of Mathematics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
About the power pseudovariety PCS17
Two results on Goldbach–Linnik problems for cubes of primes17
Difference of weighted composition operators from α-Bloch spaces to β-Bloch spaces15
Families of cubic elliptic curves containing sequences of consecutive powers13
NONLINEAR BI-SKEW LIE-TYPE DERIVATIONS ON *-ALGEBRAS12
Confluent projections and connectedness of inverse limits12
New congruences for overpartitions modulo 3 and 99
The Busemann–Petty problem for Lp-mixed radial Blaschke–Minkowski homomorphisms9
Homogeneous additive congruences8
Vanishing of Dirichlet L-functions at the central point over function fields8
Regularity of the Kobayashi and Carathéodory metrics on Levi pseudoconvex domains8
Higher order differences on arbitrary discrete time scales and related generating functions7
Connectivity at infinity for state spaces of complete bipartite graphs7
Weakly compact multipliers and φ-amenable Banach algebras7
A global uniqueness of solutions implies global existence for (l+1)-point boundary value problems7
BOUNDING THE Aα-SPECTRAL RADIUS OF k-CONNECTED IRREGULAR GRAPHS6
FRACTIONAL HERMITE–HADAMARD INEQUALITY, SIMPSON’S AND OSTROWSKI’S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS6
TANTALIZING PROPERTIES OF SUBSEQUENCES OF THE FIBONACCI SEQUENCE MODULO 106
QUANTUM FRACTIONAL ORNSTEIN–UHLENBECK SEMIGROUPS AND ASSOCIATED POTENTIALS6
VANISHING COEFFICIENTS IN POWERS OF THETA FUNCTIONS WITH ODD MODULI6
Axiomatic (and non-axiomatic) mathematics6
OBSERVER BASED CONTROL FOR PRACTICAL STABILIZATION OF ONE-SIDED LIPSCHITZ NONLINEAR SYSTEMS5
Stability for radial solutions of equations of the Chern–Simons–Higgs type5
Compacta admitting retractions close to the identity map5
Existence and uniqueness of periodic solutions in neutral nonlinear summation-difference systems with infinite delay5
A short proof on the transition matrix from the Specht basis to the Kazhdan–Lusztig basis5
Fast computation of half-integral weight modular forms5
A q-Dwork-type generalization of Rodriguez-Villegas’ supercongruences5
ON NEARLY FREE ARRANGEMENTS OF LINES WITH NODES AND TRIPLE POINTS4
On subinjectivity domains of pure-injective modules4
AVERAGING WITH THE DIVISOR FUNCTION: ℓp-IMPROVING AND SPARSE BOUNDS4
POSITIVE SOLUTIONS FOR FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM WITH DERIVATIVE DEPENDENCE4
A generalized Schwarz–Pick inequality for quasiconformal mappings satisfying Poisson's equation4
Inequalities for h-log-convex functions3
Author Index to Volume 51 (2021)3
Analytic behavior of some Euler products3
PRODUCTS OF TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACES OF GENERALIZED HARTOGS TRIANGLES3
CONTINUITY ON A CLASS OF F-ALGEBRAS3
Algebraic genericity and special properties within sequence spaces and series3
An improvement of Bernstein’s inequality for functions in Orlicz spaces with smooth Fourier image3
On properties of the Riemann zeta distribution3
QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING3
KLOOSTERMAN SUMS WITH BEATTY SEQUENCES AND APPLICATION3
On the equivalence of the integral symbolic and adic topologies3
C1 actions on the circle of finite index subgroups of Mod(Σg), Aut(Fn), and Out(Fn)3
Weighted compactness for Calderón type commutators and oscillatory operators3
Boundedness of certain bilinear operators on vanishing generalized Morrey spaces3
Three kinds of nonisospectral integrable model of Wadati–Konno–Ichikawa soliton hierarchies3
EXISTENCE OF SOLUTIONS FOR A NONLINEAR NONLOCAL HYBRID FUNCTIONAL FRACTIONAL DIFFERENTIAL EQUATION3
Weighted composition operators between n-th α-weighted spaces3
The rings where zero-divisor polynomials have zero-divisor coefficients3
Closure-interior duality over complete local rings3
Toeplitz-type operators associated to pseudodifferential operators3
Some new relations between the Berezin number and the Berezin norm of operators3
MULTIPLE-TERM REFINEMENTS OF ALZER–FONSECA–KOVAČEC INEQUALITIES2
SYMBOLIC SUBSTITUTIONS, BRATTELI DIAGRAMS AND OPERATOR ALGEBRAS2
Explicit integral basis of pure sextic fields2
DOUBLY WEIGHTED SHARP WIRTINGER INEQUALITIES ON ℝ+2
DERIVATIONS OF LOCAL k-TH HESSIAN ALGEBRAS OF SINGULARITIES2
On the Prym map of Galois coverings2
AN EXTENSION OF BREMNER AND MACLEOD’S THEOREM2
STABILITY OF ROTATION RELATION OF TWO UNITARIES WITH ℤ3, ℤ4 AND ℤ6-ACTIONS IN C*-ALGEBRAS2
SANDWICH CELLULARITY AND A VERSION OF CELL THEORY2
ERROR BOUNDS FOR THE ASYMPTOTIC EXPANSION OF THE PARTITION FUNCTION2
CONSTRUCTION OF JACOBI CUSP FORMS USING THE ADJOINT OPERATOR OF A CERTAIN DIFFERENTIAL OPERATOR2
MAPS PRESERVING THE TRUNCATION OF OPERATORS ON POSITIVE CONES2
TENSOR PRODUCTS OF ALUTHGE TRANSFORMS AND A-ADJOINTS OF m-ISOMETRIC OPERATORS2
UPPER AND LOWER POWERSPACES OF DIRECTED SPACES2
Matching Rota–Baxter BiHom-algebras and related algebraic structures2
THREE SOLUTIONS TO A ROBIN PROBLEM WITH TWO WEIGHTED GENERALIZED VARIABLE EXPONENT SOBOLEV SPACES2
PROXIMAL NORMAL STRUCTURE ON BANACH SPACES2
GRADIENT ESTIMATES FOR ENTROPY SOLUTIONS TO ELLIPTIC EQUATIONS WITH DEGENERATE COERCIVITY2
THE POLARITY ALONG AN ELEMENT IN RINGS2
DERIVATION MODULE AND THE HILBERT–KUNZ MULTIPLICITY OF THE COORDINATE RING OF A PROJECTIVE MONOMIAL CURVE2
STABILITY OF QUATERNION-VALUED IMPULSIVE DIFFERENTIAL EQUATIONS2
Weighted multiparameter local Hardy spaces2
ON ENTIRE SOLUTIONS OF DIFFERENT VARIANTS OF FERMAT-TYPE PARTIAL DELAY DIFFERENTIAL EQUATIONS IN SEVERAL COMPLEX VARIABLES2
ARITHMETIC PROGRESSIONS OF b-NIVEN NUMBERS2
ISOMETRIC IMMERSIONS WITH RECTIFIABLE GEODESICS2
NUMBERS REPRESENTED BY RESTRICTED SUMS OF FOUR SQUARES2
ELASTIC TRANSFORMATION AND ITS INVERSE TRANSFORMATION FOR SOLVING FIRST- AND THIRD-ORDER NONLINEAR VARIABLE COEFFICIENT ORDINARY DIFFERENTIAL EQUATIONS2
INITIAL DEGREE OF SYMBOLIC POWERS OF IDEALS OF FERMAT CONFIGURATIONS OF POINTS2
HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN ℝn2
MAXIMAL ORDER GROUP ACTIONS ON RIEMANN SURFACES OF GENUS 1+3p2
Goldbach–Linnik type problems on eight cubes of primes2
MORE ELEMENTARY COMPONENTS OF THE HILBERT SCHEME OF POINTS2
NONLINEAR MAPS PRESERVING THE MIXED PRODUCT A•B∘C ON VON NEUMANN ALGEBRAS2
PURELY PERIODIC ROSEN CONTINUED FRACTIONS2
Euler sums of generalized alternating hyperharmonic numbers2
COHOMOLOGY AND DEFORMATIONS OF GENERALIZED REYNOLDS OPERATORS ON LEIBNIZ ALGEBRAS2
EXISTENCE AND REGULARITY OF SPACELIKE HYPERSURFACES FOR MEAN CURVATURE EQUATION IN THE STATIC SPACETIME2
FORMATION OF DELTA-SHOCKS FOR THE CHAPLYGIN GAS EQUATIONS BY LOGARITHMIC PRESSURE PERTURBATION2
RELATIVE K-THEORY FOR C∗-ALGEBRAS2
Existence results for Kirchhoff type Schrödinger–Poisson system involving the fractional Laplacian1
WEIGHTED ESTIMATES FOR GENERALIZED RIESZ POTENTIALS1
SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS1
POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES1
ISOMETRIC ACTIONS ARE QUASIDIAGONAL1
Hardy–Sobolev inequalities in the half-space for double phase functionals1
ON THE GENERAL TRIPLE CORRELATION SUMS FOR GL2×GL2×GL21
CONVERGENCE OF SOLUTIONS OF NONAUTONOMOUS PERTURBED SINGULAR SYSTEMS VIA A REFINED INTEGRAL INEQUALITY1
STABILITY ANALYSIS OF AN ONLINE SOCIAL NETWORK MODEL1
MORE SOLUTIONS TO NONLINEAR RECURRENCE EQUATIONS1
Some inequalities for operator (φ,h)-convex functions1
Hölder continuity for vectorial local minimizers of variational integrals1
A CHARACTERIZATION OF ALMOST DEDEKIND DOMAINS IN VIEW OF STRONG REPRESENTABILITY1
ON STABILITY OF QUADRATIC LIE HOM-DERS IN LIE BANACH ALGEBRAS1
STOCHASTIC CONTROLLABILITY FOR A NONAUTONOMOUS FRACTIONAL NEUTRAL DIFFERENTIAL EQUATION WITH INFINITE DELAY IN ABSTRACT SPACE1
An identity for the sum of inverses of odd divisors of n in terms of the number of representations of n as a sum of squares1
HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS1
The Schwarz lemma: an odyssey1
STABILITY NEAR HYDROSTATIC EQUILIBRIUM TO THE THREE-DIMENSIONAL MAGNETIC BÉNARD FLUID EQUATIONS WITH PARTIAL DISSIPATION1
Some results on the practical α-exponential stability of nonlinear systems1
FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION1
Exceptional sequences and idempotent functions1
THE SECOND MINIMAL EXCLUDANT AND MEX SEQUENCES1
GLOBAL REGULARITY TO THE 2D INHOMOGENEOUS LIQUID CRYSTAL FLOWS WITH LARGE INITIAL DATA AND VACUUM1
Equipartition of energy for an illposed system with cross friction1
On the least common multiple of binary linear recurrence sequences1
Global Mittag-Leffler output feedback stabilization for nonlinear fractional-order system with known growth rate1
A DUALITY FOR LABELED GRAPHS AND FACTORIZATIONS WITH APPLICATIONS TO GRAPH EMBEDDINGS AND HURWITZ ENUMERATION1
Some properties of space-time fractional stochastic partial differential equations with Lévy noise1
Recursions for modified Walsh transforms of some families of Boolean functions1
Gradient estimates for Yamabe type equation on graphs1
EXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE1
Sharp bounds for the Tsallis relative operator entropy1
WEIGHTED COMPOSITION-DIFFERENTIATION OPERATOR OF ORDER n ON THE HARDY AND WEIGHTED BERGMAN SPACES1
Survey on the general Randić index: extremal results and bounds1
Mutually normalizing regular permutation groups and Zappa–Szép extensions of the holomorph1
On hyponormality of Toeplitz operators1
Nonuniqueness for the ab-family of equations with peakon travelling waves on the circle1
ON THE WOLFF-TYPE INTEGRAL SYSTEM WITH NEGATIVE EXPONENTS1
UPPER AND LOWER SOLUTION METHODS FOR IMPULSIVE CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS1
HOMOGENEITY DEGREE OF HYPERSPACES OF ARCS AND SIMPLE CLOSED CURVES1
THE MAGIC SQUARE OF REFLECTIONS AND ROTATIONS1
DIVISIBILITY OF CERTAIN SUMS INVOLVING CENTRAL q-BINOMIAL COEFFICIENTS1
Boundedness of both discrete Hardy and Hardy–Littlewood maximal operators via Muckenhoupt weights1
ON SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS BASED ON ELASTIC TRANSFORMATION METHODS1
COMBINATORIAL IDENTITIES AND HYPERGEOMETRIC FUNCTIONS1
ON THE LOCAL KREISS RESOLVENT CONDITION1
Global existence and extinction of solutions to a fast diffusion $p$-Laplace equation with special medium void1
A Liouville-type theorem for the inequality Δu≥f(u)1
CONTINUOUS DEPENDENCE ON BOUNDARY CONDITIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS1
TORSION HOMOLOGY GROWTH OF POLYNOMIALLY GROWING FREE-BY-CYCLIC GROUPS1
ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS TO NONLOCAL DIFFERENTIAL EQUATIONS1
THE SECOND NONLINEAR MIXED JORDAN TRIPLE *-DERIVATIONS ON *-ALGEBRAS1
Relative operator entropies and Tsallis relative operator entropies in JB-algebras1
Geodesic growth of some 3-dimensional RACGs1
GORENSTEIN PROJECTIVE PRECOVERS AND FINITELY PRESENTED MODULES1
MONOTONICITY RESULTS FOR FUNCTIONS INVOLVING THE q-POLYGAMMA FUNCTIONS1
The Brauer indecomposability of Scott modules with wreathed 2-group vertices1
NOTES ON THE HARMONIC INDEX OF GRAPHS1
Representations and one-parameter formal deformations of Bihom-Novikov superalgebras1
The socle module of a monomial ideal1
A NOTE ON GAPS BETWEEN HAPPY NUMBERS1
TWO REGULARIZATION METHODS FOR IDENTIFYING THE UNKNOWN SOURCE IN A MULTITERM TIME-FRACTIONAL DIFFUSION EQUATION1
Construction and determination of univalent biharmonic mappings1
The existence and forms of solutions for several systems of the Fermat-type difference-differential equations1
Conic configurations via dual of quartic curves1
THE FACET IDEALS OF CHESSBOARD COMPLEXES1
STABLE CLOSE-TO-CONVEXITY AND RADIUS OF FULL CONVEXITY FOR SENSE-PRESERVING HARMONIC MAPPINGS1
NOVEL RESULTS OF AN ORTHOGONAL (α−F)-CONVEX CONTRACTION MAPPING1
Perfect powers that are sums of squares of an arithmetic progression1
A SHORT PROOF OF THE RANK FORMULA FOR INCLUSION MATRICES1
Generalized metric properties on hyperspaces with the Vietoris topology1
Asymptotic behavior of a new class of nonlinear rational difference equations1
SOME ASPECTS OF INVARIANT MEANS IN THE SPACES OF WEAKLY ALMOST PERIODIC FUNCTIONS AND LEFT UNIFORMLY CONTINUOUS FUNCTIONS1
Analysis of convexity results for discrete fractional nabla operators1
IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS AND THE CONVEX COMBINED CAPUTO DERIVATIVE1
AN ARGUMENT PRINCIPLE FOR REAL FUNCTIONS AND NONHARMONIC SINGULARITIES IN THE PLANE1
Integrable and absolutely continuous vector-valued functions1
WOLFF’S IDEAL THEOREM ON ANALYTIC BESOV-TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE1
Multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent1
Weighted Hermite–Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex mappings1
On the equations mn=1x±1y±1z1
The Weyl functional calculus in Michael-algebras1
RIGIDITY OF PROPER HOLOMORPHIC SELF-MAPPINGS OF SOME UNBOUNDED WEAKLY PSEUDOCONVEX HARTOGS DOMAIN0
NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS0
Nonlinear mappings preserving Jordan-type η-*-products0
On Arens regularity of projective tensor product of Schatten spaces0
ON THE CONVERGENCE OF 3D LERAY-α EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITIONS0
DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR Lp-CENTROID BODIES0
On functional equations related to generalized inner derivations on standard operator algebras0
ON SPECTRA OF POWER GRAPHS OF FINITE CYCLIC AND DIHEDRAL GROUPS0
On the Aσ-spectral radii of graphs with some given parameters0
Gradient estimates for the weighted Lichnerowicz equation on smooth metric measure spaces0
SOLVABILITY OF QUARTIC INTEGRAL EQUATIONS IN HÖLDER SPACE0
CLASSES OF MAPS WITH CONTINUOUS SELECTIONS AND GENERALIZED GAMES0
The simplicity of the C*-algebras associated to arbitrary labeled spaces0
Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type0
Infinitely many hyperelliptic curves with exactly two rational points0
Pointwise boundary behavior of large solutions to ∞-Laplacian equations0
STRONGLY E-GORENSTEIN INJECTIVE AND FLAT MODULES0
Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of p-growth0
On nondegenerate CM-types0
Metric graphs, cross ratios, and Rayleigh’s laws0
Asymptotic behavior of solutions on modifications of three-dimensional Navier–Stokes equations with unbounded delays0
DENOMINATORS OF SPECIAL VALUES OF ζ-FUNCTIONS COUNT KU-LOCAL HOMOTOPY GROUPS OF MOD p MOORE SPECTRA0
CALCULUS OF VARIATIONS AND OPTIMAL CONTROL WITH GENERALIZED DERIVATIVE0
ON THE NUMBER OF POINTS OF GIVEN ORDER ON ODD-DEGREE HYPERELLIPTIC CURVES0
AN OBSERVATION CONCERNING THE REPRESENTATION OF POSITIVE INTEGERS AS A SUM OF THREE CUBES0
ON UNICOHERENCE AND CONTRACTIBILITY OF HYPERSPACES OF NONMETRIZABLE CONTINUA0
Operator equations deriving generalized slant Toeplitz operators on L2(Tn)0
A note on generalized Abel equations with constant coefficients0
Stability for the “essentially Kato” property for commuting tuples of bounded operators0
Modular groups and planar maps0
On the fine spectrum of the operator Q(r,s,t,u) over ℓp and bvp, 1<p<∞0
REGULARITY OF COMMUTATORS OF THE BILINEAR MAXIMAL OPERATOR0
Nonlinear ξ-Jordan triple *-derivation on prime *-algebras0
Existence and asymptotic behavior of ground state sign-changing solutions for a nonlinear Schrödinger–Poisson–Kirchhoff system in ℝ30
On a sum involving squarefull numbers0
Existence and stability results on multidimensional fractional-order systems0
Nonuniform dependence for the two-component Camassa–Holm-type system with higher-order nonlinearity in Besov spaces0
A STRUCTURAL INVARIANT ON CERTAIN TWO-DIMENSIONAL NOETHERIAN PARTIALLY ORDERED SETS0
The UCT problem for nuclear C*-algebras0
GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL0
IMPACT OF HUNTING COOPERATION AND FEEDBACK CONTROL FOR A NONLINEAR HYBRID LESLIE–GOWER PREDATOR-PREY SYSTEM ON NONUNIFORM TIME DOMAIN0
On a logarithmic Hardy–Bloch type space, II0
On a trigonometric inequality of Szegő and Schweitzer0
Properties of trinomials of height at least 20
A unified extension of some classical Hilbert-type inequalities and applications0
LINKED PARTITION IDEALS AND ANDREWS–GORDON TYPE SERIES FOR ALLADI AND GORDON’S EXTENSION OF SCHUR’S IDENTITY0
Explicit constructions of Halphen pencils of index two0
A new formula for investigating delay integro-differential equations using the differential transform method involving a quotient of two functions0
ON COARSE DIRECTED LIMITS OF METRIC SPACES0
EXISTENCE OF GROUND STATES TO THE DOUBLE-TYPE NONLINEAR p-LAPLACE PROBLEM INVOLVING SOBOLEV CRITICAL EXPONENT0
REPRESENTATIONS OF SQUARES BY CERTAIN DIAGONAL QUADRATIC FORMS IN AN ODD NUMBER OF VARIABLES0
EFFICIENTLY FILLING SPACE0
On the solutions of certain Lebesgue–Ramanujan–Nagell equations0
On the structure of hypergroups with respect to the induced topology0
THE THREE-DIMENSIONAL DIVISOR PROBLEMS RELATED TO CUSP FORM COEFFICIENTS0
A COMPACT SPACE IS NOT ALWAYS SI-COMPACT0
SOLVABILITY OF QUADRATIC HADAMARD-TYPE FRACTIONAL INTEGRAL EQUATIONS IN ORLICZ SPACES0
EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR A CLASS OF p-LAPLACIAN-TYPE FRACTIONAL FOUR-POINT BOUNDARY-VALUE PROBLEMS WITH A PARAMETER0
Bounds on degrees of covers with injective monodromy in iterated Kodaira fibrations0
Lattice properties of the minus order on regular modules0
Configurations in fractals0
New results on Bernoulli numbers of higher order0
ANALYSIS OF THE DIFFERENTIAL-DIFFERENCE EQUATION y(x+12)−y(x−12)=y′(x)0
Transcendental entire solutions of several Fermat type PDEs and PDDEs with two complex variables0
THE GENERALIZED NONLOCAL BOUNDARY CONDITION FOR FRACTIONAL LANGEVIN EQUATION WITH A WEAKLY SINGULAR SOURCE0
On a remark of Sierpínski0
CONSTRUCTING MULTICUSPED HYPERBOLIC MANIFOLDS THAT ARE ISOSPECTRAL AND NOT ISOMETRIC0
Critical curve for a weakly coupled system of semilinear σ-evolution equations with frictional damping0
Modules of infinite projective dimension0
Regularity of local multilinear fractional maximal and strong maximal operators0
ON A QUESTION OF WITNO CONCERNING HYPOTHETICAL ELITE PRIMES FOR MERSENNE NUMBERS AND REPUNITS0
Entire solutions of one certain type of nonlinear differential-difference equations0
HARMONIC CURVATURE-LIKE TENSORS WITH SECOND BIANCHI IDENTITY ON KÄHLER MANIFOLDS0
ON A CERTAIN STAR-K VARIANT OF A SELECTION PRINCIPLE0
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