Showing posts with label simplicity. Show all posts
Showing posts with label simplicity. Show all posts

Wednesday, 13 September 2023

Understanding of the Estimation of the Earth Circumference by Eratosthenes Based on the History of Science, for Earth Science Education | Chapter 5 | Emerging Issues in Environment, Geography and Earth Science Vol. 1

 The Aim concerning this Chapter discusses about three insolent assumptions for numerical abstraction of Eratosthenes’s experiment for calculating the edge of the Earth, and justifying all three arrogance from historical view for mathematics and learning education. Also it is main that the simplicity about the measurement of the dust's circumstance at the past of science. The first correct estimate of the Earth’s circumference was fashioned by the Hellenism physicist Eratosthenes (276-195 B.C.) in about 240 B.C. The simplicity and elegance of Eratosthenes’ calculation of the circumference of the Earth by arithmetic abstraction actions were an excellent instance of ancient Greek cleverness. Eratosthenes’s success was a triumph of logic and the experimental method, the procedure required that he adopt that Sun was so far continuously that its light attained Earth along parallel lines. That assumption, nevertheless, should lie by another set of measurements created by the old Hellenism, Aristarchus, namely, a coarse measurement of the relative diameters and distances of the Sun and Moon. Eratosthenes formulated the plain proportional recipe, by mathematic abstraction methods based on perfect circle and a simple numerical rule as well as in the geometry in this place world.  The Earth must be a circle by a logical and practical argument of Aristotle, established the Greek word proportion including harmony and advantage of form.

Author(s) Details:

Jun-Young Oh,
Seoul National University, Republic of Korea.

Please see the link here: https://stm.bookpi.org/EIEGES-V1/article/view/11825

Wednesday, 25 January 2023

Generic Simplicity of the Spectrum of a Schrödinger-type Operator on a Riemannian Manifold| Chapter 7 | Research Highlights in Mathematics and Computer Science Vol. 4

 Generic directness of spectrum of the Schrödinger-type controller, H = Δ + V, is investigated in this place study. Here, Δ is the standard Laplace operator on n-spatial unit torus and V is the distress potential. On the n-dimensional torus, we secondhand Rayleigh- Schrödinger perturbation theory to analyse the dividing behaviour of the spectrum on account of infinitesimal distress. We proved the life of a perturbation potential V that guarantees the simplicity of the range of the Schrödinger-type operator Δ+V on the n-torus in the beginning order.

Author(s) Details:

Louis Omenyi,
Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria.

Please see the link here: https://stm.bookpi.org/RHMCS-V4/article/view/9161


Saturday, 21 January 2023

Generic Simplicity of the Spectrum of a Schrödinger-type Operator on a Riemannian Manifold| Chapter 7 | Research Highlights in Mathematics and Computer Science Vol. 4

 Generic restraint of spectrum of the Schrödinger-type controller, H = Δ + V, is investigated in this place study. Here, Δ is the standard Laplace operator on n-spatial unit torus and V is the distress potential. On the n-dimensional torus, we secondhand Rayleigh- Schrödinger perturbation theory to analyse the dividing behaviour of the spectrum on account of infinitesimal distress. We proved the life of a perturbation potential V that guarantees the simplicity of the range of the Schrödinger-type operator Δ+V on the n-torus initially order.

Author(s) Details:

Louis Omenyi,
Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria.

Please see the link here: https://stm.bookpi.org/RHMCS-V4/article/view/9161