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School Timetable
A school timetable is a calendar that coordinates students and teachers within the classrooms and time periods of the school day. Other factors include the class subjects and the type of classrooms available (for example, science laboratories). Since the 1970s, researchers in operations research and management science have developed computerized solutions for the school timetable problem (STP). Description and purpose of a school timetable A school timetable consists of a list of the complete set of offered courses, as well as the time and place of each course offered. The purposes of the school timetable are to inform teachers when and where they teach each course, and to enable students to enroll in a subset of courses without schedule conflicts. Also available as .pdfHoshino & Fabris/ref> History Prior to the introduction of operations research and management science methodologies, school timetables had to be generated by hand. Hoshino and Fabris wrote, "As many school adm ...
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FLHS School Schedule
FLHS may refer to one of the following high schools: * Fair Lawn High School, Fair Lawn, New Jersey * Fairfield Ludlowe High School, Fairfield, Connecticut * Faith Lutheran High School, Crystal Lake, Illinois * Faith Lutheran Middle School & High School, Las Vegas, Nevada * Fort Lauderdale High School, Broward County, Florida * Fort Lee High School, Fort Lee, New Jersey * Forest Lake Area High School, Forest Lake, Minnesota * Forest Lawn High School, Calgary, Alberta, Canada * Fox Lane High School, Bedford, New York * Francis Lewis High School Francis Lewis High School (FLHS) is a selective public high school located in Fresh Meadows, in the New York City borough of Queens. It is one of the most-applied-to public high schools in New York City with 9,468 applicants in 2016. Operated b ..., Fresh Meadows, New York City * Fred Longworth High School, Tyldesley, Greater Manchester, England See also

* {{schooldis ...
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Classroom
A classroom, schoolroom or lecture room is a learning space in which both children and adults learn. Classrooms are found in educational institutions of all kinds, ranging from preschools to universities, and may also be found in other places where education or training is provided, such as corporations and religious and humanitarian organizations. The classroom provides a space where learning can take place uninterrupted by outside distractions. Types of classroom In elementary schools (from Kindergarten through 5th grade), classrooms can have a whole group of 18 to 30 students (in some cases these numbers may differ) and one, two, or even three teachers. When there are two teachers in a classroom, one is the lead teacher and the other one is the assistant teacher. Or the second teacher might be a special education teacher. There may be a third teacher in the back watching and taking notes. In lower elementary the classrooms are set up slightly different from upper elem ...
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Period (school)
A school period is a block of time allocated for lessons, classes in schools. They typically last between 30 and 60 minutes, with around 3-10 periods per school day. However, especially in higher education, there can be many more. Educators determine the number and length of these periods, and may even regulate how each period will be used. One common example of this practice is to designate at least one compulsory period a day for physical education. Free period One special example of a period is the free period. These are typically shorter than regular periods and allow students to participate in non-class activities. A free period (also called a spare, unstructured, or leisure period) is generally found in most high schools and colleges. Students may utilize a free period for various purposes: * Walk around the campus freely until the next period. Some high schools permit students to leave the campus and go home, visit shops or areas nearby that are outside the school grounds. ...
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Operations Research
Operations research () (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a branch of applied mathematics that deals with the development and application of analytical methods to improve management and decision-making. Although the term management science is sometimes used similarly, the two fields differ in their scope and emphasis. Employing techniques from other mathematical sciences, such as mathematical model, modeling, statistics, and mathematical optimization, optimization, operations research arrives at optimal or near-optimal solutions to decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably industrial engineering. Operations research is often concerned with determining the extreme values of some real-world objective: the Maxima and minima, maximum (of profit, performance, or yield) or minimum (of loss, risk, or cost). Originating in ...
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Management Science
Management science (or managerial science) is a wide and interdisciplinary study of solving complex problems and making strategic decisions as it pertains to institutions, corporations, governments and other types of organizational entities. It is closely related to management, economics, business, engineering, management consulting, and other fields. It uses various scientific research-based principles, strategies, and analytical methods including mathematical modeling, statistics and numerical algorithms and aims to improve an organization's ability to enact rational and accurate management decisions by arriving at optimal or near optimal solutions to complex decision problems. Management science looks to help businesses achieve goals using a number of scientific methods. The field was initially an outgrowth of applied mathematics, where early challenges were problems relating to the optimization of systems which could be modeled linearly, i.e., determining the optima ( max ...
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Gunther Schmidt
Gunther Schmidt (born 1939, Rüdersdorf) is a Germans, German mathematician who works also in informatics. Life Schmidt began studying Mathematics in 1957 at Göttingen University. His academic teachers were in particular Kurt Reidemeister, Wilhelm Klingenberg and Karl Stein. In 1960 he transferred to Ludwig-Maximilians-Universität München where he studied functions of several complex variables with Karl Stein (mathematician), Karl Stein. Schmidt wrote a thesis on analytic continuation of such functions. In 1962 Schmidt began work at TU München with students of Robert Sauer, in the beginning in labs and tutorials, later in mentoring and administration. Schmidt's interests turned toward programming when he collaborated with Hans Langmaack on rewriting and the braid group in 1969. Friedrich L. Bauer and Klaus Samelson were establishing software engineering at the university and Schmidt joined their group in 1974. In 1977 he submitted his Habilitation "Programs as partial grap ...
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Logical Matrix
A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets. It is an important tool in combinatorial mathematics and theoretical computer science. Matrix representation of a relation If ''R'' is a binary relation between the finite indexed sets ''X'' and ''Y'' (so ), then ''R'' can be represented by the logical matrix ''M'' whose row and column indices index the elements of ''X'' and ''Y'', respectively, such that the entries of ''M'' are defined by :m_ = \begin 1 & (x_i, y_j) \in R, \\ 0 & (x_i, y_j) \not\in R. \end In order to designate the row and column numbers of the matrix, the sets ''X'' and ''Y'' are indexed with positive integers: ''i'' ranges from 1 to the cardinality (size) of ''X'', and ''j'' ranges from 1 to the cardinality of ''Y''. See the article on indexed sets for more detail. The transpose ...
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Hypergraph
In mathematics, a hypergraph is a generalization of a Graph (discrete mathematics), graph in which an graph theory, edge can join any number of vertex (graph theory), vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, a directed hypergraph is a pair (X,E), where X is a set of elements called ''nodes'', ''vertices'', ''points'', or ''elements'' and E is a set of pairs of subsets of X. Each of these pairs (D,C)\in E is called an ''edge'' or ''hyperedge''; the vertex subset D is known as its ''tail'' or ''domain'', and C as its ''head'' or ''codomain''. The order of a hypergraph (X,E) is the number of vertices in X. The size of the hypergraph is the number of edges in E. The order of an edge e=(D,C) in a directed hypergraph is , e, = (, D, ,, C, ): that is, the number of vertices in its tail followed by the number of vertices in its head. The definition above generalizes from a directed graph to a directed hypergraph by defining the h ...
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Linear Algebra And Its Applications
''Linear Algebra and its Applications'' is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History The journal was established in January 1968 with A.J. Hoffman, A.S. Householder, A.M. Ostrowski, H. Schneider, and O. Taussky Todd as founding editors-in-chief. The current editors-in-chief are Richard A. Brualdi ( University of Wisconsin at Madison), Volker Mehrmann (Technische Universität Berlin), and Peter Semrl (University of Ljubljana). Abstracting and indexing The journal is abstracted and indexed in: According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 1.401. References {{Reflist Algebra journ ...
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Constraint Satisfaction Problem
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations. CSPs represent the entities in a problem as a homogeneous collection of finite constraints over variables, which is solved by constraint satisfaction methods. CSPs are the subject of research in both artificial intelligence and operations research, since the regularity in their formulation provides a common basis to analyze and solve problems of many seemingly unrelated families. CSPs often exhibit high complexity, requiring a combination of heuristics and combinatorial search methods to be solved in a reasonable time. Constraint programming (CP) is the field of research that specifically focuses on tackling these kinds of problems. Additionally, the Boolean satisfiability problem (SAT), satisfiability modulo theories (SMT), mixed integer programming (MIP) and answer set programming (ASP) are all fields of research ...
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Block Scheduling
Block scheduling or blocking is a type of academic scheduling used in some schools in the American K-12, K-12 system, in which Student, students have fewer but longer classes per day than in a traditional academic schedule. It is more common in middle and high schools than in primary schools. In one form of block scheduling, a single class will meet every day for a number of days, after which another class will take its place. In another form, daily classes rotate through a changing daily cycle. Blocks offer more concentrated experiences of subjects, with fewer, usually half as many if going through a schedule transfer, classes daily. Description Under a traditional American schedule, pupils in a High school (North America), high school will study seven subjects a day for 45 minutes for each day of the week for a semester. There will be two semesters in the year so 14 subjects could be studied. Some pupils will not study all seven subjects. There was great variety as each school ...
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Modular Scheduling
Modular scheduling (also known as flex scheduling, flexible modular scheduling, or modular flex scheduling) is a system of timetabling in certain high schools in the United States. History Modular scheduling was developed by schools such as the Kent State University School in the 1960s. About 15% of American high schools implemented it in the 1960s, but since the 1970s, the practice has waned in popularity as schools have implemented block scheduling instead. Characteristics Each module, or "mod" (as it known colloquially), is either a 20 or 40-minute period used for classes or independent study time. This allows freedom in scheduling as classes can be 40, 60, or 80 minutes long, as needed for one-to one, small group, large group, and laboratory instruction. Classes are taught in a similar format to many universities; students meet a large group lecture once per week and have small group recitations throughout the week. An average student has at least one or two full open mods (fr ...
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