- Language Models Use Trigonometry to Do Addition
2025/02/02 by Subhash Kantamneni, Max Tegmark, Kantamneni, Subhash +1 · 33 voices · 31 citations
Arts and Humanities · Computer Science · Mathematics · #Computer science #Geometry #Linguistics #Mathematics #Natural Language Processing Techniques #Philosophy #Speech and dialogue systems #Syntax, Semantics, Linguistic Variation #Trigonometry
- Elementary Results for the Fundamental Representation of SU(3)
2015/08/06 by Thomas L. Curtright, Thomas Curtright, Cosmas Zachos +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Element (criminal law) #Finite Group Theory Research #Geometry #Group (periodic table) #Hermitian matrix #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Physics #Pure mathematics #Representation (politics) #Trigonometric functions #Trigonometric polynomial #Trigonometry #hep-th #math.RT
- An analytic approach to a class of fractional differential‐difference equations of rational type via symbolic computation
2013/12/20 by İsmail Aslan · 1 citation
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Mathematics #Trigonometry #Fractional calculus #Type (biology) #Rational function #Computation #Applied mathematics #Differential equation #Class (philosophy) #Algebra over a field #Symbolic computation #Mathematical analysis #Pure mathematics #Algorithm #Computer science
- Quantum information entropies for an asymmetric trigonometric Rosen–Morse potential
2013/07/22 by Guo‐Hua Sun, Shi‐Hai Dong, Nasser Saad · 8 citations
Mathematics · Physics and Astronomy · #Computer science #Eigenvalues and eigenvectors #Entropy (arrow of time) #Excited state #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Morse code #Morse potential #Nonlinear Waves and Solitons #Physics #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Trigonometry
- TRIGONOMETRIC PARALLAXES OF MASSIVE STAR-FORMING REGIONS. VIII. G12.89+0.49, G15.03–0.68 (M17), AND G27.36–0.16
2011/03/16 by Ye Xu, Y. Xu, L. Moscadelli +7 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Astronomy #Astrophysics #Astrophysics and Star Formation Studies #Geometry #Mathematical analysis #Mathematics #Milky Way #Molecular Spectroscopy and Structure #Physics #Sagittarius #Spiral (railway) #Star (game theory) #Stars #Stellar, planetary, and galactic studies #Trigonometry #astro-ph.GA #astro-ph.SR
- Triangle Equalizers
2010/03/24 by Dimitrios Kodokostas · 1 citation
Computer Science · Mathematics · #Mathematics, Computing, and Information Processing #Mathematics and Applications #Mathematics #Trigonometry #Interval (graph theory) #Perimeter #Trigonometric functions #Line (geometry) #Spherical trigonometry #Equalizer #Mathematical analysis #Geometry #Combinatorics #Computer science #Telecommunications #Channel (broadcasting)
- Trigonometric Parallaxes of Central Stars of Planetary Nebulae
2006/11/16 by Hugh C. Harris, Conard C. Dahn, Blaise Canzian +11 · 2 citations
Physics and Astronomy · #Astrometry #Astronomy and Astrophysical Research #History and Developments in Astronomy #Parallax #Planetary nebula #Spectral line #Stars #Stellar, planetary, and galactic studies #Trigonometry #astro-ph
- The teaching of mathematics in the Greek military academy during the first years of its foundation (1828–1834)
2003/05/01 by Andreas Kastanis · 1 citation
Arts and Humanities · Engineering · Mathematics · Social Sciences · #Algebra over a field #Engineering #Geometry #Historical and Literary Analyses #Historical and Literary Studies #History and Theory of Mathematics #Legendre polynomials #Mathematical analysis #Mathematics #Mathematics education #Pure mathematics #Trigonometry
- On Angles Whose Squared Trigonometric Functions Are Rational
1999/10/01 by J. H. Conway, John H. Conway, Charles Radin +3 · 1 citation
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Combinatorics #Computer science #Euclidean geometry #Euclidean space #Geodesy #Geodetic datum #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Polyhedron #Rational function #Space (punctuation) #Square (algebra) #Trigonometric functions #Trigonometry
- Representation of relativistic quantities by trigonometric functions
1986/06/01 by V. Majernı́k · 1 citation
Physics and Astronomy · Mathematics · Engineering · #Experimental and Theoretical Physics Studies #Algebraic and Geometric Analysis #Geophysics and Sensor Technology #Physics #Lorentz transformation #Trigonometry #Representation (politics) #Simple (philosophy) #Relativistic particle #Classical mechanics #Relativistic mechanics #Relativistic quantum chemistry #Trigonometric functions #Theory of relativity #Matter wave #Mathematical physics #Theoretical physics #Mathematical analysis #Quantum mechanics #Geometry #Mathematics #Quantum #Electron
- Historically Speaking—: Thabit Qurra and the Pythagorean Theorem
1970/10/01 by Robert Shloming · 1 citation
Mathematics · Arts and Humanities · Physics and Astronomy · #History and Theory of Mathematics #Medieval and Classical Philosophy #Historical Astronomy and Related Studies #Pythagorean theorem #Hinduism #Trigonometry #Islam #Mathematics #Algebra over a field #Mathematics education #Classics #Pythagorean triple #Philosophy #Pure mathematics #History #Linguistics #Geometry #Theology
- The solution of the problem of integration in finite terms
1970/01/01 by Robert H. Risch · 2 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems #Exponentiation #Elementary function #Mathematics #Trigonometric functions #Algebra over a field #Logarithm #Algebraic number #Trigonometry #Rational function #Inverse trigonometric functions #Calculus (dental) #Inverse #Function (biology) #Integration using Euler's formula #Applied mathematics #Pure mathematics #Mathematical analysis