Results 31 to 40 of about 1,005,997 (319)

Proofs without words

Lietuvos Matematikos Rinkinys, 2023
Usually, proofs of mathematical statements involve both algebraic rearrangements and logical reasoning. But there are mathematical statements whose truth is obvious at first glance when there is a diagram illustrating that proof.
Edmundas Mazėtis, Grigorijus Melničenko   +1 more
doaj   +3 more sources

Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology

Frontiers in Psychology, 2020
The use of figurate numbers (e.g., in the context of elementary number theory) can be considered a heuristic in the field of problem solving or proving.
Leander Kempen, Rolf Biehler
doaj   +1 more source

On the nonlinear stability of mKdV breathers [PDF]

, 2012
A mathematical proof for the stability of mKdV breathers is announced. This proof involves the existence of a nonlinear equation satisfied by all breather profiles, and a new Lyapunov functional which controls the dynamics of small perturbations and ...
Akhmediev N, Alejo M A Gorria C Vega L, Alejo M A Muñoz C, Alejo M A Muñoz C Vega L, Claudio Muñoz, Dysthe K, Holmer J Perelman G Zworski M, Kapitula T, Kevrekidis P G, Lamb G L, Maddocks J H, Miguel A Alejo, Schuur P C   +12 more
core   +2 more sources

Proof and Understanding in Mathematical Practice

Philosophia Scientiæ, 2012
The mathematical practice of proving theorems seems clearly to result in improved mathematical understanding; the aim of proving, and reproving, theorems in mathematics is better understanding.
Danielle Macbeth
doaj   +1 more source

REACT: STRATEGI PEMBELAJARAN UNTUK MENGEMBANGKAN KEMAMPUAN MAHASISWA DALAM MENGKONSTRUKSI BUKTI

Aksioma: Jurnal Program Studi Pendidikan Matematika, 2020
Tujuan penelitian ini adalah untuk mendiskripsikan penerapan strategi REACT (Relating, Experiencing, Applying, Cooperating, Transferring) untuk mengembangkan kemampuan mahasiswa dalam mengkonstruksi bukti.
Arif Hidayatul Khusna
doaj   +1 more source

ANALISIS KEMAMPUAN PEMBUKTIAN MATEMATIS PADA MATA KULIAH TEORI RING DITINJAU DARI PENDIDIKAN SEKOLAH MENENGAH

Jurnal Lebesgue, 2023
Mathematical proof is a crucial component in studying mathematics, especially at advanced levels. Previous research has reported that many students face difficulties in solving mathematical proof problems, including in rings theory course.
Nina Agustyaningrum, Paskalia Pradanti, Dita Aldila Krisma   +2 more
doaj   +1 more source

Twisted duality of the CAR-Algebra [PDF]

, 2002
We give a complete proof of the twisted duality property M(q)'= Z M(q^\perp) Z* of the (self-dual) CAR-Algebra in any Fock representation. The proof is based on the natural Halmos decomposition of the (reference) Hilbert space when two suitable closed ...
Araki H., Avron J., Baumgärtel H., Borac S., Davis C., Dell’Antonio G. F., Dixmier J., Doplicher S., Fernando Lledó, Foit J. J., Halmos P. R., Hellmut Baumgärtel, Hislop P. D., Lledó F., Matthias Jurke, Rieffel M. A., Summers S. J., Wassermann A.   +17 more
core   +3 more sources

ANALISIS KEMAMPUAN MEMBACA BUKTI MATEMATIS PADA MATA KULIAH STATISTIKA MATEMATIKA

Infinity, 2015
ABSTRAK   Statistika Matematika merupakan salah satu mata kuliah yang dianggap sulit oleh mahasiswa sehingga dibutuhkan kemampuan-kemampuan matematis untuk mempelajarinya.
Andri Suryana
doaj   +1 more source

The Tur\'{a}n number and probabilistic combinatorics [PDF]

, 2011
In this short expository article, we describe a mathematical tool called the probabilistic method, and illustrate its elegance and beauty through proving a few well-known results. Particularly, we give an unconventional probabilistic proof of a classical
Aw, Alan J.
core   +1 more source

Mathematical Proofs

Synthese, 2003
The aim I am pursuing here is to describe some general aspects of mathematical proofs. In my view, a mathematical proof is a warrant to assert a non-tautological statement which claims that certain objects (possibly a certain object) enjoy a certain property. Because it is proved, such a statement is a mathematical theorem.
openaire   +2 more sources