Cecilia Krieger
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Cecilia Krieger
Cypra Cecilia Krieger-Dunaij (9 April 1894 – 17 August 1974) was an Austria-Hungary, Austro-Hungarian (more specifically, Galicia (Central Europe), Galician)-born mathematician of Jewish ancestry who lived and worked in Canada. Krieger was the third person (and first woman) to earn a Ph.D. in mathematics from a university in Canada, in 1930,Krieger–Nelson Prize
Canadian Mathematical Society.
as well as the third woman to have been awarded a doctorate in any discipline in Canada. Krieger is well known for having translated two works of Wacław Sierpiński in general topology. The Krieger–Nelson Prize, awarded annually by the Canadian Mathematical Society since 1995 for outstanding research by a female mathematician, is named in honour of Krieger and Evelyn Nelson (mathematician), Evelyn Nelson.
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Toronto
Toronto ( , locally pronounced or ) is the List of the largest municipalities in Canada by population, most populous city in Canada. It is the capital city of the Provinces and territories of Canada, Canadian province of Ontario. With a population of 2,794,356 in 2021, it is the List of North American cities by population, fourth-most populous city in North America. The city is the anchor of the Golden Horseshoe, an urban agglomeration of 9,765,188 people (as of 2021) surrounding the western end of Lake Ontario, while the Greater Toronto Area proper had a 2021 population of 6,712,341. As of 2024, the census metropolitan area had an estimated population of 7,106,379. Toronto is an international centre of business, finance, arts, sports, and culture, and is recognized as one of the most multiculturalism, multicultural and cosmopolitanism, cosmopolitan cities in the world. Indigenous peoples in Canada, Indigenous peoples have travelled through and inhabited the Toronto area, ...
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Ordinal Number
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, th, etc.) aimed to extend enumeration to infinite sets. A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used. To extend this process to various infinite sets, ordinal numbers are defined more generally using linearly ordered greek letter variables that include the natural numbers and have the property that every set of ordinals has a least or "smallest" element (this is needed for giving a meaning to "the least unused element"). This more general definition allows us to define an ordinal number \omega (omega) to be the least element that is greater than every natural number, along with ordinal numbers , , etc., which are even greater than . A linear order such that every non-empty subset has a least element is called a well-order. The axiom of choice implies that every set can be well-orde ...
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Cardinal Number
In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number, or cardinality is therefore a natural number. For dealing with the case of infinite sets, the infinite cardinal numbers have been introduced, which are often denoted with the Hebrew letter \aleph (aleph) marked with subscript indicating their rank among the infinite cardinals. Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets. In the case of finite sets, this agrees with the intuitive notion of number of elements. In the case of infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for two infinite sets to have different cardinalities, and in particular the cardinality of the set of real numbers is gre ...
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Topology
Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Torsion (mechanics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a Set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of List of continuity-related mathematical topics, continuity. Euclidean spaces, and, more generally, metric spaces are examples of topological spaces, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and Homotopy, homotopies. A property that is invariant under such deformations is a to ...
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Agnes Scott College
Agnes Scott College is a Private university, private Women's Colleges in the Southern United States, women's Liberal arts colleges in the United States, liberal arts college in Decatur, Georgia. The college enrolls approximately 1,000 undergraduate and graduate students. The college is affiliated with the Presbyterian Church (USA), Presbyterian Church and is considered one of the Seven Sisters of the South. It also offers co-educational graduate programs. History The college was founded in 1889 as Decatur Female Seminary by Presbyterian minister Frank Henry Gaines. In 1890, the name was changed to Agnes Scott Institute to honor the mother of the college's primary benefactor, Col. George Washington Scott. The name was changed again to Agnes Scott College in 1906 and remains today a Women's Colleges in the Southern United States, women's college. Agnes Scott is considered the first higher education institution in the state of Georgia to receive regional accreditation. The ninth ...
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Private School
A private school or independent school is a school not administered or funded by the government, unlike a State school, public school. Private schools are schools that are not dependent upon national or local government to finance their financial endowment. Unless privately owned they typically have a board of governors and have a system of governance that ensures their independent operation. Private schools retain the right to select their students and are funded in whole or in part by charging their students for Tuition payments, tuition, rather than relying on taxation through public (government) funding; at some private schools students may be eligible for a scholarship, lowering this tuition fee, dependent on a student's talents or abilities (e.g., sports scholarship, art scholarship, academic scholarship), need for financial aid, or Scholarship Tax Credit, tax credit scholarships that might be available. Roughly one in 10 U.S. families have chosen to enroll their childr ...
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Upper Canada College
Upper Canada College (UCC) is an independent day and boarding school for boys in Toronto, Ontario, operating under the International Baccalaureate program. The college is widely described as Canada's most prestigious preparatory school, and has produced many notable graduates. With around 1,200 students, UCC is highly selective. The school has a financial aid program which currently awards more than $5 million annually to Canadian citizens. The secondary school segment is divided into 10 houses; eight are for day students and the remaining two are for boarding students. Aside from the main structure, with its dominant clock tower, the Toronto campus has a number of sports facilities, staff and faculty residences, and other buildings. UCC also owns and operates an outdoor education campus in Norval, Ontario. UCC was founded in 1829 by Sir John Colborne, then Lieutenant Governor of Upper Canada, and modelled on Elizabeth College, Guernsey. After facing closure by the go ...
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Assistant Professor
Assistant professor is an academic rank just below the rank of an associate professor used in universities or colleges, mainly in the United States, Canada, Japan, and South Korea. Overview This position is generally taken after earning a doctoral degree and sometimes after several years of holding one or more postdoctoral research A postdoctoral fellow, postdoctoral researcher, or simply postdoc, is a person professionally conducting research after the completion of their doctoral studies (typically a PhD). Postdocs most commonly, but not always, have a temporary acade ...er positions. It is below the position of associate professor at most universities and is equivalent to the rank of lecturer at most Commonwealth universities. In the United States, assistant professor is often the first position held in a tenure track, although it can also be a non-tenure track position. A typical professorship sequence is assistant professor, associate professor, and full professo ...
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Lecturer
Lecturer is an academic rank within many universities, though the meaning of the term varies somewhat from country to country. It generally denotes an academic expert who is hired to teach on a full- or part-time basis. They may also conduct research. Comparison The table presents a broad overview of the traditional main systems, but there are universities which use a combination of those systems or other titles. Note that some universities in Commonwealth countries have adopted the American system in place of the Commonwealth system. Uses around the world Australia In Australia, the term lecturer may be used informally to refer to anyone who conducts lectures at a university or elsewhere, but formally refers to a specific academic rank. The academic ranks in Australia are similar to those in the UK, with the rank of associate professor roughly equivalent to reader in UK universities. The academic levels in Australia are (in ascending academic level): (A) associate lecture ...
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Fourier Series
A Fourier series () is an Series expansion, expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood. For example, Fourier series were first used by Joseph Fourier to find solutions to the heat equation. This application is possible because the derivatives of trigonometric functions fall into simple patterns. Fourier series cannot be used to approximate arbitrary functions, because most functions have infinitely many terms in their Fourier series, and the series do not always Convergent series, converge. Well-behaved functions, for example Smoothness, smooth functions, have Fourier series that converge to the original function. The coefficients of the Fourier series are determined by integrals of the function multiplied by trigonometric func ...
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University Of Toronto
The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada. Originally controlled by the Church of England, the university assumed its present name in 1850 upon becoming a secular institution. It has three campuses: University of Toronto Mississauga, Mississauga, #St. George campus, St. George, and University of Toronto Scarborough, Scarborough. Its main campus, St. George, is the oldest of the three and located in Downtown Toronto. U of T operates as a collegiate university, comprising 11 #Colleges, colleges, each with substantial autonomy on financial and institutional affairs and significant differences in character and history. The University of Toronto is the largest university in Canada with a t ...
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