Hasil untuk "Mathematics"

C. Allen, Mary E. Froustet, J. Leblanc et al.

J. Graver, B. Servatius, Herman Servatius et al.

Ubiratan D’ambrosio

W. Cheney, D. Kincaid

B. Russell

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which Principia Mathematica provided the detailed proof, and introduced the work of Frege to a wider audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics.

I. Bronshtein, K. Semendyayev, G. Musiol et al.

R. J. Owen, S. French

A. Bishop, K. Clements, C. Keitel et al.

H. Freudenthal

M. Mitchell

B. Lazerick

G. Leder, E. Pehkonen, G. Törner

Gerry Leversha

Surjective. Absolute value function to the naturals |−|: Z ↠ N; natural log function ln: R0 ↠R; first projection function from the Cartesian product of two (nonempty) sets π1 : A× B↠ A. Not surjective. Integer squaring function on the naturals: (−)2 : N→ N (only returns perfect squares); constant function cb : A→ B with value b ∈ B (always outputs b if B is not the singleton set); successor function (−) + 1: N→ N (0 is not the successor of any number).

F. Y. Edgeworth

Derong Liu

J. Godino, C. Batanero, Vicenç Font

E. Gutstein

D'ARCY W. Thompson

J. Praveen, S.K. Narasimhamurthy

In this study we explore cosmological anisotropies and dark energy using Finsler-Randers geometry, an extension of Riemannian geometry that incorporates directional dependence in the spacetime structure. We investigate whether Finslerian modifications including anisotropic corrections can provide a unified theoretical framework to explain both the observed cosmic acceleration and the anisotropies detected in the Cosmic Microwave Background and large-scale structure surveys. By introducing an anisotropic parameter η(t) with its parametrization we study its impact on cosmological models and compare the results with observational data from Cosmic Chronometers (CC), Baryon Acoustic Oscillations (BAO), and the Pantheon+ Type Ia Supernovae sample. The constraints on key cosmological parameters including the Hubble constant H0, matter density parameter Ωm, and the anisotropic parameter n, are derived using a Markov Chain Monte Carlo (MCMC) method. Our findings suggest that Finsler-Randers geometry provides a viable alternative to the standard ΛCDM model offering new insights into the nature of DE and large-scale anisotropies. We also examine the consistency of the anisotropic term n across different datasets evaluating its implications for both the evolution of the universe and potential deviations from isotropy. The results highlight the relevance of Finslerian geometry in cosmology and its potential to resolve some of the longstanding puzzles in contemporary cosmology.

Francisco Chiclana

The journal Mathematics (ISSN 2227-7390) [...]