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Joy Morris
Joy Morris (born 1970) is a Canadian mathematician whose research involves group theory, graph theory, and the connections between the two through Cayley graphs. She is also interested in mathematics education, is the author of two open-access undergraduate mathematics textbooks, and oversees a program in which university mathematics education students provide a drop-in mathematics tutoring service for parents of middle school students. She is a professor of mathematics at the University of Lethbridge. Education and career Morris is originally from Toronto, Ontario. Both her parents had doctorates; she was the youngest of their four children, another of whom also earned a Ph.D.. She was educated through various alternative-education and gifted-student programs in the Toronto public school system. She graduated from Trent University in 1992 with a double major in mathematics and English, and with fourth-year honours in mathematics earned in part through a summer research project wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toida's Conjecture
In combinatorial mathematics, Toida's conjecture, due to Shunichi Toida in 1977, is a refinement of the disproven Ádám's conjecture from 1967. Statement Both conjectures concern circulant graphs. These are graphs defined from a positive integer n and a set S of positive integers. Their vertices can be identified with the numbers from 0 to n-1, and two vertices i and j are connected by an edge whenever their difference modulo n belongs to set S. Every symmetry of the cyclic group of addition modulo n gives rise to a symmetry of the n-vertex circulant graphs, and Ádám conjectured (incorrectly) that these are the only symmetries of the circulant graphs. However, the known counterexamples to Ádám's conjecture involve sets S in which some elements share non-trivial divisors with n. Toida's conjecture states that, when every member of S is relatively prime to n, then the only symmetries of the circulant graph for n and S are symmetries coming from the underlying cyclic group. Pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Theorists
Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discrete mathematics * Graph of a function *Graph of a relation *Graph paper *Chart, a means of representing data (also called a graph) Computing * Graph (abstract data type), an abstract data type representing relations or connections *graph (Unix), Unix command-line utility *Conceptual graph, a model for knowledge representation and reasoning Other uses * HMS ''Graph'', a submarine of the UK Royal Navy See also *Complex network *Graf *Graff (other) *Graph database *Grapheme, in linguistics *Graphemics *Graphic (other) *-graphy (suffix from the Greek for "describe," "write" or "draw") *List of information graphics software This is a list of software to create any kind of information graphics: * either includes the ability t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Women Mathematicians
A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural ''women'' is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age. Typically, women inherit a pair of X chromosomes, one from each parent, and are capable of pregnancy and giving birth from puberty until menopause. More generally, sex differentiation of the female fetus is governed by the lack of a present, or functioning, SRY-gene on either one of the respective sex chromosomes. Female anatomy is distinguished from male anatomy by the female reproductive system, which includes the ovaries, fallopian tubes, uterus, vagina, and vulva. A fully developed woman generally has a wider pelvis, broader hips, and larger breasts than an adult man. Women have significantly less facial and other body hair, have a higher body fat composition, and are on average shorter and less muscular than men. Througho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Mathematicians
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of their being ''Canadian''. Canada is a multilingual and multicultural society home to people of groups of many different ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. Following the initial period of French and then the much larger British colonization, different waves (or peaks) of immigration and settlement of non-indigenous peoples took place over the course of nearly two centuries and continue today. Elements of Indigenous, French, British, and more recent immigrant customs, languages, and religions have combined to form the culture of Canada, and thus a Canadian identity. Canada has also been strongly influenced by its linguistic, geographic, and e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1970 Births
Events January * January 1 – Unix time epoch reached at 00:00:00 UTC. * January 5 – The 7.1 Tonghai earthquake shakes Tonghai County, Yunnan province, China, with a maximum Mercalli intensity of X (''Extreme''). Between 10,000 and 14,621 were killed and 26,783 were injured. * January 14 – Biafra capitulates, ending the Nigerian Civil War. * January 15 – After a 32-month fight for independence from Nigeria, Biafran forces under Philip Effiong formally surrender to General Yakubu Gowon. February * February 1 – The Benavídez rail disaster near Buenos Aires, Argentina, kills 236. * February 10 – An avalanche at Val-d'Isère, France, kills 41 tourists. * February 11 – '' Ohsumi'', Japan's first satellite, is launched on a Lambda-4 rocket. * February 22 – Guyana becomes a Republic within the Commonwealth of Nations. March * March 1 – Rhodesia severs its last tie with the United Kingdom, declaring itself a republic. * March 4 — All 57 m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Open Textbook
An open textbook is a textbook licensed under an open license, and made available online to be freely used by students, teachers and members of the public. Many open textbooks are distributed in either print, e-book, or audio formats that may be downloaded or purchased at little or no cost.Learn More About Open Textbooks the Student PIRGs Part of the broader movement, open textbooks increasingly are seen as a solution to challenges with traditionally published textbooks, such as access and affordability concerns. Open textbooks were identified in the [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cyclic Group
In group theory, a branch of abstract algebra in pure mathematics, a cyclic group or monogenous group is a group, denoted C''n'', that is generated by a single element. That is, it is a set of invertible elements with a single associative binary operation, and it contains an element ''g'' such that every other element of the group may be obtained by repeatedly applying the group operation to ''g'' or its inverse. Each element can be written as an integer power of ''g'' in multiplicative notation, or as an integer multiple of ''g'' in additive notation. This element ''g'' is called a ''generator'' of the group. Every infinite cyclic group is isomorphic to the additive group of Z, the integers. Every finite cyclic group of order ''n'' is isomorphic to the additive group of Z/''n''Z, the integers modulo ''n''. Every cyclic group is an abelian group (meaning that its group operation is commutative), and every finitely generated abelian group ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Circulant Graph
In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes called a cyclic graph, but this term has other meanings. Equivalent definitions Circulant graphs can be described in several equivalent ways:. *The automorphism group of the graph includes a cyclic subgroup that acts transitively on the graph's vertices. In other words, the graph has a graph automorphism, which is a cyclic permutation of its vertices. *The graph has an adjacency matrix that is a circulant matrix. *The vertices of the graph can be numbered from 0 to in such a way that, if some two vertices numbered and are adjacent, then every two vertices numbered and are adjacent. *The graph can be drawn (possibly with crossings) so that its vertices lie on the corners of a regular polygon, and every rotational symmetry of the polygon is also a symmetry of the drawing. *The graph is a Cayley graph of a cyclic group ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Part-time Contract
A part-time job is a form of employment that carries fewer hours per week than a full-time job. They work in shifts. The shifts are often rotational. Workers are considered to be part-time if they commonly work fewer than 30 hours per week. According to the International Labour Organization, the number of part-time workers has increased from one-quarter to a half in the past 20 years in most developed countries, excluding the United States. There are many reasons for working part-time, including the desire to do so, having one's hours cut back by an employer and being unable to find a full-time job. The International Labour Organisation Convention 175 requires that part-time workers be treated no less favourably than full-time workers. In some cases the nature of the work itself may require that the employees be classified part as part-time workers. For example, some amusement parks are closed during winter months and keep only a skeleton crew A skeleton crew is the minimum numb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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