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Mrs. Miniver's Problem
Mrs. Miniver's problem is a geometry problem about the area of circles. It asks how to place two circles A and B of given radii in such a way that the lens formed by intersecting their two interiors has equal area to the symmetric difference of A and B (the area contained in one but not both circles). It was named for an analogy between geometry and social dynamics enunciated by fictional character Mrs. Miniver, who "saw every relationship as a pair of intersecting circles". Its solution involves a transcendental equation. Origin The problem derives from "A Country House Visit", one of Jan Struther's newspaper articles appearing in the ''Times of London'' between 1937 and 1939 featuring her character Mrs. Miniver. According to the story: She saw every relationship as a pair of intersecting circles. It would seem at first glance that the more they overlapped the better the relationship; but this is not so. Beyond a certain point the law of diminishing returns sets in, and there ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mrs Miniver's Problem
Mrs. (American English) or Mrs (British English; standard English pronunciation: ) is a commonly used English honorific for Woman, women, usually for those who are married and who do not instead use another title (or rank), such as ''Doctor (title), Doctor'', ''Professor'', ''President (government title), President'', ''Dame (title), Dame'', etc. In most Commonwealth of Nations, Commonwealth countries, a full stop (period) is usually not used with the title. In the United States and Canada a period (full stop) is usually used (see Abbreviation#History, Abbreviation). ''Mrs'' originated as a contraction (grammar), contraction of the honorific ''Mistress (form of address), Mistress'' (the feminine of ''Mister (Mr), Mister'' or ''Master (form of address), Master'') which was originally applied to both married and unmarried women. The split into ''Mrs'' for married women and ''Miss'' for unmarried began during the 17th century; the 17th century also saw the coinage of a new unmarke ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Clifton Fadiman
Clifton Paul "Kip" Fadiman (May 15, 1904 – June 20, 1999) was an American intellectual, author, editor, radio and television personality. He began his work with the radio, and switched to television later in his career. Background Born in Brooklyn, New York, Fadiman was a nephew of the emigree Ukrainian psychologist Boris Sidis and a first cousin of the child prodigy William James Sidis. Fadiman grew up in Brooklyn. His mother worked as a nurse; his father, Isadore, immigrated from Russian empire in 1892 and worked as a druggist.One of "Kip's" older brothers, Edwin, taught him how to read. Edwin later married Celeste Frankel and became the brother-in-law to Margaret Lefranc (Frankel), who was a future recipient of the Governor's Award for Painting. He attended Columbia College at Columbia University. One of his teachers was lifelong friend Mark Van Doren; his undergraduate contemporaries included Jacques Barzun, Mortimer Adler, Lionel Trilling, Herbert Solow, Arth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Circles
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. Usually, the radius is required to be a positive number. A circle with r=0 (a single point) is a degenerate case. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted. Specifically, a circle is a simple closed curve that divides the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is only the boundary and the whole figure is called a '' disc''. A circle may also be defined as a specia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simon & Schuster
Simon & Schuster () is an American publishing company and a subsidiary of Paramount Global. It was founded in New York City on January 2, 1924 by Richard L. Simon and M. Lincoln Schuster. As of 2016, Simon & Schuster was the third largest publisher in the United States, publishing 2,000 titles annually under 35 different imprints. History Early years In 1924, Richard Simon's aunt, a crossword puzzle enthusiast, asked whether there was a book of '' New York World'' crossword puzzles, which were very popular at the time. After discovering that none had been published, Simon and Max Schuster decided to launch a company to exploit the opportunity.Frederick Lewis Allen, ''Only Yesterday: An Informal History of the 1920s'', p. 165. . At the time, Simon was a piano salesman and Schuster was editor of an automotive trade magazine. They pooled , equivalent to $ today, to start a company that published crossword puzzles. The new publishing house used "fad" publishing to publish ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Goat Problem
The goat grazing problem is either of two related problems in recreational mathematics involving a tethered goat grazing a circular area: the interior grazing problem and the exterior grazing problem. The former involves grazing the interior of a circular area, and the latter, grazing an exterior of a circular area. For the exterior problem, the constraint that the rope can not enter the circular area dictates that the grazing area forms an involute. If the goat were instead tethered to a post on the edge of a circular path of pavement that did not obstruct the goat (rather than a fence or a silo), the interior and exterior problem would be complements of a simple circular area. The original problem was the exterior grazing problem and appeared in the 1748 edition of the English annual journal ''The Ladies' Diary: or, the Woman's Almanack'', designated as Question attributed to Upnorensis (an unknown historical figure), stated thus: Observing a horse tied to feed in a ge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhombus is often called a "diamond", after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French sweet – also see Polyiamond), and the latter sometimes refers specifically to a rhombus with a 45° angle. Every rhombus is simple (non-self-intersecting), and is a special case of a parallelogram and a kite. A rhombus with right angles is a square. Etymology The word "rhombus" comes from grc, ῥόμβος, rhombos, meaning something that spins, which derives from the verb , romanized: , meaning "to turn round and round." The word was used both by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Circular Segment
In geometry, a circular segment (symbol: ), also known as a disk segment, is a region of a disk which is "cut off" from the rest of the disk by a secant or a chord. More formally, a circular segment is a region of two-dimensional space that is bounded by a circular arc (of less than π radians by convention) and by the circular chord connecting the endpoints of the arc. Formulae Let ''R'' be the radius of the arc which forms part of the perimeter of the segment, ''θ'' the central angle subtending the arc in radians, ''c'' the chord length, ''s'' the arc length, ''h'' the sagitta ( height) of the segment, ''d'' the apothem of the segment, and ''a'' the area of the segment. Usually, chord length and height are given or measured, and sometimes the arc length as part of the perimeter, and the unknowns are area and sometimes arc length. These can't be calculated simply from chord length and height, so two intermediate quantities, the radius and central angle are usually ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Line Segment
In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as \overline). Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal. When the end points both lie on a curve (such as a circle), a line segment is called a chord (of that curve). In real or complex vector spaces If ''V'' is a vector spac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Recreational Mathematics
Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults, inspiring their further study of the subject. The Mathematical Association of America (MAA) includes recreational mathematics as one of its seventeen Special Interest Groups, commenting: Mathematical competitions (such as those sponsored by mathematical associations) are also categorized under recreational mathematics. Topics Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Times Of London
''The Times'' is a British daily national newspaper based in London. It began in 1785 under the title ''The Daily Universal Register'', adopting its current name on 1 January 1788. ''The Times'' and its sister paper ''The Sunday Times'' (founded in 1821) are published by Times Newspapers, since 1981 a subsidiary of News UK, in turn wholly owned by News Corp. ''The Times'' and ''The Sunday Times'', which do not share editorial staff, were founded independently and have only had common ownership since 1966. In general, the political position of ''The Times'' is considered to be centre-right. ''The Times'' is the first newspaper to have borne that name, lending it to numerous other papers around the world, such as ''The Times of India'', ''The New York Times'', and more recently, digital-first publications such as TheTimesBlog.com (Since 2017). In countries where these other titles are popular, the newspaper is often referred to as , or as , although the newspaper is of national ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a '' geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jan Struther
Jan, JaN or JAN may refer to: Acronyms * Jackson, Mississippi (Amtrak station), US, Amtrak station code JAN * Jackson-Evers International Airport, Mississippi, US, IATA code * Jabhat al-Nusra (JaN), a Syrian militant group * Japanese Article Number, a barcode standard compatible with EAN * Japanese Accepted Name, a Japanese nonproprietary drug name * Job Accommodation Network, US, for people with disabilities * '' Joint Army-Navy'', US standards for electronic color codes, etc. * ''Journal of Advanced Nursing'' Personal name * Jan (name), male variant of ''John'', female shortened form of ''Janet'' and ''Janice'' * Jan (Persian name), Persian word meaning 'life', 'soul', 'dear'; also used as a name * Ran (surname), romanized from Mandarin as Jan in Wade–Giles * Ján, Slovak name Other uses * January, as an abbreviation for the first month of the year in the Gregorian calendar * Jan (cards), a term in some card games when a player loses without taking any tricks or scoring a m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
