Leesville schools: Vernon Parish School Board – HOME

Опубликовано: March 23, 2023 в 5:00 am

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Area Schools – Town of Batesburg Leesville

Lexington School District 3

Lexington County School District Three serves approximately 2,200 students in grade K4 through grade 12. The district has four schools: primary (K4 through grade 2), elementary (grades 3-5), middle (grades 6-8), and a comprehensive high school (grades 9-12). The district also has an alternative school for students in grades 6 through 8 that is housed at the Lifelong Learning Center along with adult education programs. The school district encompasses all of Batesburg-Leesville and the surrounding area. Most of the district is located in Lexington County, but a small portion is also in Saluda County.

In 1996 and 1999, the district opened Batesburg-Leesville Elementary and Middle Schools respectively. The district also completed a new 1,000 seat state-of-the-art Fine Arts Center in February 2000. The Fine Arts Center is used by all schools in the district and is also available for rent to civic groups and businesses. The Fine Arts Center is the only one of its kind in Lexington County.

For more information on Lexington School District 3 click here.

W. Wyman King Academy

W. Wyman King Academy opened its doors for the first time in 1972. King Academy is accredited by the South Carolina Independent School Association. SCISA provides many services to the school such as in-service training for teachers and interscholastic academic competitions for various age groups. The accrediting process occurs every three years with on campus visits by an accrediting team and written reports and records of the schools organization and programs.

Students from 4 year old kindergarten through 12th grade attend King Academy in a traditional classroom setting. Kindergarten through 5th grade are taught in self-contained classrooms for each grade. The primary emphasis is on reading, writing, math, and language skills along with science, social studies, music, and physical education. Elementary students also have Art, Bible, Computer, PE, Library and Music once a week. Grades 6, 7, and 8 are grouped together in a middle school setting with different teachers in language, reading, math, science, social studies, and physical education. Our high school students have the option of choosing a General Studies diploma or a College Preparatory diploma.

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Midlands Technical College

Midlands Technical College is a comprehensive, multi-campus, two-year public college serving the primary region of Richland, Lexington and Fairfield counties of South Carolina. College programs and services provide accessible, affordable, quality education that prepares a diverse student population to enter the job market, transfer to senior colleges and universities, and achieve their professional and personal goals. Through its programs and services, the college equitably provides higher education opportunities and strengthens the economic and social vitality of the community.

For more information on Midlands Technical College click here .

Lifelong Learning Center

The Batesburg-Leesville Lifelong Learning Center is part of Lexington County School District 3. This campus specializes in Adult Education and First Steps Family Learning and Parenting Center. These areas go hand in hand to promote family literacy, parenting, and education.

Classes offered at The Lifelong Learning Center include Basic Education, Pre-GED, GED, English as a Second Language, Certified Nursing Assistant and Paraprofessional/Substitute.

For more information on the Lifelong Learning Center click here.

Vestnik KRAUNTS. Phys.-Math. Sciences. 2022.T. 40. No. 3. C. 42-52. ISSN 2079-6641 — Bulletin of KRAUNC. Physical and mathematical sciences

Content for

Read English Version

UDC 517.926

Scientific Article

M. O. Mamchuev¹, T. I. Zhabelova²

¹Institute of Applied Mathematics, KBSC RAS, 360017, Nalchik, st. Shortanova 89-A, Russia
²Scientific and Educational Center of the KBSC RAS Balkarova 2, Russia
E-mail: mamchuev@rambler. ru

We study a nonlocal boundary value problem for a linear system of fractional order ordinary differential equations with constant coefficients on the interval \left[0, l\right] . The fractional derivative of the order \alpha \in \left(0,1\right] is understood in the sense of Riemann–Liouville. The boundary conditions connect the trace of the fractional integral of the desired vector function at the left end of the interval, at the point x=0 , with the trace of the vector function itself at the right end of the segment – at the point x \u003d l. The purpose of this work is to construct an explicit representation of the solution of this problem in terms of the Green’s function. The structure of the solution of the boundary value problem is investigated, the corresponding Green’s function is defined and constructed, tasks

Keywords: system of ordinary differential equations, fractional derivatives, nonlocal boundary value problem, Green’s function.

DOI: 10. 26117/2079-6641-2022-40-3-42-42-52

entered the editorial office: 02.10.2022

in the final version: 17.10.2022

for citation. Mamchuev MO, Zhabelova TI Nonlocal boundary value problem for a system of ordinary differential equations of fractional order with Riemann–Liouville derivatives // Vestnik KRAUNC. Phys.-Math. Sciences. 2022. V. 40. No. 3. C. 42-52.

DOI: 10.26117/2079-6641-2022-40-3-42-52

Content is published under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/deed.ru)

Competing interests. The authors declare no conflicts of interest regarding authorship and publication.

Contribution and responsibility. All authors contributed to this article. The authors are solely responsible for providing the final version of the article for publication. The final version of the manuscript was approved by all authors.

References

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Mamchuev Murat Osmanovich – Doctor of Physical and Mathematical Sciences, Head of the Department of Fractional Calculus, Institute of Applied Mathematics and Automation, KBSC RAS, Nalchik, Russia, ORCID 0000-0002-7986-456X.

Zhabelova Tanzilya Ismailovna – PhD student of the Scientific and Educational Center of the KBSC RAS, Nalchik, Russia, ORCID 0000-0001-8447-071X.

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There are 24 pages in the notebook. The girl wrote 5/8 pages of the notebook. How many blank pages are left?

Solution :

24: 8 = 3 (p.) – make up 1/8 of the notebook, and she wrote 5/8, then

3 5 = 15 (page) – the girl wrote

24 – 15 = 9 (page)

Answer : 9 pages in the notebook are left blank.

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Famous and great mathematicians

ancient, medieval and modern scientists and their contribution to world science

Joseph Liouville

French mathematician. He systematically investigated the solvability of a number of problems, gave a rigorous definition of the concept of an elementary function and quadrature.

Date of birth: March 24, 1809

Birthplace: Saint-Omer, First Empire

Date of death: September 8, 1882 (aged 73), Paris, French Third Republic

Biography

Born March 24, 1809.

After taking his first steps in the city of Toul, Liouville studied at Saint Louis College in Paris, where he studied mathematics at the highest level.

Liouville graduated from the École Polytechnique in 1827. In 1831 Liouville was appointed to his first academic post, as assistant to Claude Mathieu, who was Ampère’s successor at the École Polytechnique. During this period of his life, Liouville taught 35 to 40 hours a week at various institutions. In 1838 he was invited to the Polytechnic School as a professor. From 1839Mr. – Professor of the College de France. Scientific interests covered almost all areas of mathematics. Investigated the arithmetic theory of quadratic forms in two or more variables, proved the existence of transcendental numbers. Received membership of the Collège de France in mathematics in 1850 and in mechanics in 1857.

In addition to academic achievements, he was a very talented organizer. Liouville founded the Journal de mathématiques pures et appliquées (Journal de mathématiques pures et appliquées), which maintains its reputation to this day, to promote mathematical work. He was the first to read the unpublished works of Galois and realized their importance, they were published in a magazine in 1846. Liouville also briefly engaged in politics and became a member of the National Assembly in 1848. However, after the liquidation of elections to the Assembly in 1849G. left politics.

Liouville was active in a number of different areas of mathematics, including number theory, complex analysis, differential geometry, topology, mathematical physics, and even astronomy. Liouville systematically investigated the solvability of a number of problems, gave a rigorous definition of the concept of an elementary function and quadrature. In particular, he investigated the possibility of integrating a given function, algebraic or transcendental, in elementary functions, and the solvability in quadratures of a linear equation of the 2nd order.

Proved that the special Riccati equation can be integrated in quadratures only in those cases that were given by Bernoulli. In number theory, Liouville was the first to prove the existence of transcendental numbers. Liouville’s surface and Liouville net were named after Liouville, as well as several mathematical theorems.

In 1851 Liouville was elected a foreign member of the Royal Swedish Academy of Sciences, in 1875 a member of the scientific Royal Society of Edinburgh. In 1883 he founded and for many years published the Liouville Journal.

Worked in differential geometry and surface theory. He built a theory of elliptic functions, considering them as double periodic functions of a complex variable. In the theory of analytic functions, he proved the theorem that an arbitrary entire function bounded on the entire plane is identically constant. Together with J. Sh. F. Sturm, he studied the theory of eigenfunctions and eigenvalues for second-order ordinary differential equations.

On the basis of the general theory of analytic functions, he studied the red problem for linear differential equations of the second order (the so-called Sturm–Liouville equation). He proposed a method for integrating an equation using differentiation with an arbitrary index. Developed a symbolic method for integrating differential equations. He owns the fundamental theorem of statistical mechanics regarding the constancy of the phase volume of a moving system, as well as the theorem on the integration of the canonical equations of dynamics. Simultaneously with E. Geish, he introduced the Lamé functions of the second kind.

The following mathematical objects are named after Liouville:

Liouville’s theorem on bounded entire analytic functions
Liouville’s conformal mapping theorem
Liouville’s theorem on the approximation of algebraic numbers
Liouville’s phase volume conservation theorem
Liouville’s theorem on integration in elementary functions
Liouville’s theorem in the theory of analytic functions
Liouville’s theorem in number theory
Liouville Surface
Liouville network
Liouville function
Liouville equation
Sturm–Liouville problem

Named after Liouville:

Crater on the Moon
Street in Paris

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