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A critical appraisal of the singularity theorems. (arXiv:2108.07296v1 [gr-qc]) arxiv.org/abs/2108.07296

K_4-free graphs have sparse halves. (arXiv:2108.07297v1 [math.CO]) arxiv.org/abs/2108.07297

A Numerical Method for a Nonlocal Diffusion Equation with Additive Noise. (arXiv:2108.07300v1 [math.NA]) arxiv.org/abs/2108.07300

The regularity of almost all edge ideals. (arXiv:2108.07304v1 [math.AC]) arxiv.org/abs/2108.07304

When does the zero fiber of the moment map have rational singularities?. (arXiv:2108.07306v1 [math.AG]) arxiv.org/abs/2108.07306

Determinant of the finite volume Laplacian. (arXiv:2108.07308v1 [math.DG]) arxiv.org/abs/2108.07308

On the dimension of exceptional parameters for nonlinear projections, and the discretized Elekes-R\'onyai theorem. (arXiv:2108.07311v1 [math.CA]) arxiv.org/abs/2108.07311

Fine-tuning is Fine in Federated Learning. (arXiv:2108.07313v1 [cs.LG]) arxiv.org/abs/2108.07313

Correlation of Golay-Rudin-Shapiro Sequences. (arXiv:2108.07318v1 [cs.IT]) arxiv.org/abs/2108.07318

First-Order Theory of Probabilistic Independence and Single-Letter Characterizations of Capacity Regions. (arXiv:2108.07324v1 [cs.IT]) arxiv.org/abs/2108.07324

Asymptotic optimality and minimal complexity of classification by random projection. (arXiv:2108.06339v1 [cs.LG]) arxiv.org/abs/2108.06339

Interpolation between noncommutative martingale Hardy and BMO spaces: the case $0<p<1$. (arXiv:2108.06341v1 [math.OA]) arxiv.org/abs/2108.06341

The cumulative hierarchy in Homotopy Type Theory. (arXiv:2108.06348v1 [math.LO]) arxiv.org/abs/2108.06348

q-Fibonacci bicomplex quaternions. (arXiv:2108.06351v1 [math.RA]) arxiv.org/abs/2108.06351

A Generalized Definition of Fractional Derivative with Applications. (arXiv:2108.06354v1 [math.CA]) arxiv.org/abs/2108.06354

Asymptotic Density of Apollonian-Type Packings. (arXiv:2108.06358v1 [math.NT]) arxiv.org/abs/2108.06358

Maximal independent sets in clique-free graphs. (arXiv:2108.06359v1 [math.CO]) arxiv.org/abs/2108.06359

Calculus of Tempered $ \Psi$-Fractional Derivatives. (arXiv:2108.06361v1 [math.CA]) arxiv.org/abs/2108.06361

Invariants of disordered semimetals via the spectral localizer. (arXiv:2108.06366v1 [cond-mat.mes-hall]) arxiv.org/abs/2108.06366

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