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Samarendra Nath Roy
Samarendra Nath Roy (11 December 1906 – 23 July 1964) was an Indian-born American mathematician and an applied statistician. Early life Roy was the first of three children of Kali Nath Roy and Suniti Bala Roy. His father, was a freedom fighter and the Chief Editor of the newspaper The Tribune, then publishing from Lahore. During the Jallianwala Bagh massacre in April 1919, The Tribune published a news report titled "Prayer at the Jama Masjid", on 6 April 1919. For this "offence" Kali Nath Roy was sentenced to imprisonment of two years along with a fine of one thousand rupees. Roy secured first division in the Matriculation Examination in 1923 from the Khulna District School. He was the topper in the Intermediate Science (Higher Secondary) Examinations in 1925 from the Daulatpur Hindu Academy. He obtained first class and was the topper in both the BSc Mathematics (Honours) from Presidency College of the University of Calcutta in 1928 and the MSc in Mixed Mathematics - wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calcutta
Kolkata (, or , ; also known as Calcutta , List of renamed places in India#West Bengal, the official name until 2001) is the Capital city, capital of the Indian States and union territories of India, state of West Bengal, on the eastern bank of the Hooghly River west of the border with Bangladesh. It is the primary business, commercial, and financial hub of East India, Eastern India and the main port of communication for North-East India. According to the 2011 Indian census, Kolkata is the List of cities in India by population, seventh-most populous city in India, with a population of 45 lakh (4.5 million) residents within the city limits, and a population of over 1.41 crore (14.1 million) residents in the Kolkata metropolitan area, Kolkata Metropolitan Area. It is the List of metropolitan areas in India, third-most populous metropolitan area in India. In 2021, the Kolkata metropolitan area crossed 1.5 crore (15 million) registered voters. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Presidency College, Kolkata
Presidency University, Kolkata (formerly known as Presidency College, Kolkata) is a second major public state aided research university located in College Street, Kolkata. Considered as one of best colleges when Presidency College was affiliated to University of Calcutta. Established in 1817, it is the oldest college in India (in Asia as well). It was formerly known as Hindu College and then Presidency College and now Presidency University. The institution was elevated to university status in 2010 after functioning as a top constituent college of the University of Calcutta for about 193 years. The university had its bicentenary celebrations in 2017. In its first cycle as a university, Presidency received A grade with a score of 3.04/4.00 by the NAAC. Presidency has been recognized as an "Institute of National Eminence" by the UGC. It appeared in the inaugural list of top 50 institutions of NIRF rankings in 2016. However, NIRF rankings in 2017 and 2018 excluded universiti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Factor Analysis
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved variables called factors. For example, it is possible that variations in six observed variables mainly reflect the variations in two unobserved (underlying) variables. Factor analysis searches for such joint variations in response to unobserved latent variables. The observed variables are modelled as linear combinations of the potential factors plus "error" terms, hence factor analysis can be thought of as a special case of errors-in-variables models. Simply put, the factor loading of a variable quantifies the extent to which the variable is related to a given factor. A common rationale behind factor analytic methods is that the information gained about the interdependencies between observed variables can be used later to reduce the set of variables in a dataset. Factor analysis is commonly used in psychometrics, persona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Components Analysis
Circuit Component may refer to: •Are devices that perform functions when they are connected in a circuit. In engineering, science, and technology Generic systems *System components, an entity with discrete structure, such as an assembly or software module, within a system considered at a particular level of analysis *Lumped element model, a model of spatially distributed systems Electrical *Component video, a type of analog video information that is transmitted or stored as two or more separate signals *Electronic components, the constituents of electronic circuits *Symmetrical components, in electrical engineering, analysis of unbalanced three-phase power systems Mathematics *Color model, a way of describing how colors can be represented, typically as multiple values or color components *Component (group theory), a quasi-simple subnormal sub-group *Connected component (graph theory), a maximal connected subgraph *Connected component (topology), a maximal connected su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variance
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. Variance has a central role in statistics, where some ideas that use it include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling. Variance is an important tool in the sciences, where statistical analysis of data is common. The variance is the square of the standard deviation, the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by \sigma^2, s^2, \operatorname(X), V(X), or \mathbb(X). An advantage of variance as a measure of dispersion is that it is more amenable to algebraic manipulation than other measures of dispersion such as the expected absolute deviation; for e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Univariate
In mathematics, a univariate object is an expression, equation, function or polynomial involving only one variable. Objects involving more than one variable are multivariate. In some cases the distinction between the univariate and multivariate cases is fundamental; for example, the fundamental theorem of algebra and Euclid's algorithm for polynomials are fundamental properties of univariate polynomials that cannot be generalized to multivariate polynomials. In statistics, a univariate distribution characterizes one variable, although it can be applied in other ways as well. For example, univariate data are composed of a single scalar component. In time series analysis, the whole time series is the "variable": a univariate time series is the series of values over time of a single quantity. Correspondingly, a "multivariate time series" characterizes the changing values over time of several quantities. In some cases, the terminology is ambiguous, since the values within a univariate t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Categorical Data
In statistics, a categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. In computer science and some branches of mathematics, categorical variables are referred to as enumerations or enumerated types. Commonly (though not in this article), each of the possible values of a categorical variable is referred to as a level. The probability distribution associated with a random categorical variable is called a categorical distribution. Categorical data is the statistical data type consisting of categorical variables or of data that has been converted into that form, for example as grouped data. More specifically, categorical data may derive from observations made of qualitative data that are summarised as counts or cross tabulations, or from observations o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadratic Forms
In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, :4x^2 + 2xy - 3y^2 is a quadratic form in the variables and . The coefficients usually belong to a fixed field , such as the real or complex numbers, and one speaks of a quadratic form over . If K=\mathbb R, and the quadratic form takes zero only when all variables are simultaneously zero, then it is a definite quadratic form, otherwise it is an isotropic quadratic form. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal group), differential geometry (Riemannian metric, second fundamental form), differential topology ( intersection forms of four-manifolds), and Lie theory (the Killing form). Quadratic forms are not to be confused with a quadratic equation, which has only one variable and includes terms of degree two or less. A quadratic form is o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multivariate Analysis
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable. Multivariate statistics concerns understanding the different aims and background of each of the different forms of multivariate analysis, and how they relate to each other. The practical application of multivariate statistics to a particular problem may involve several types of univariate and multivariate analyses in order to understand the relationships between variables and their relevance to the problem being studied. In addition, multivariate statistics is concerned with multivariate probability distributions, in terms of both :*how these can be used to represent the distributions of observed data; :*how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain types of problems involving multivariate data, for example simple linear regression an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bani Roy
Bani may refer to: Places Africa *Bani Department, a department in the Séno Province of Burkina Faso *Bani, Bani, Séno, Burkina Faso * Bani, Bourzanga, Bam, Burkina Faso *Bani, Gnagna, Burkina Faso * Bani, The Gambia *Bani River, a tributary of the Niger River in Mali Asia *Bani, Chhatoh, a village in Uttar Pradesh, India *Bani, India, an assembly constituency under Kathua, Jammu and Kashmir, India *Bani, Iran, a village in West Azerbaijan Province, Iran *Bani, Mirpur, a town in Pakistan *Bani, Pangasinan, a municipality of the Philippines *Bani, Rahi, a village in Uttar Pradesh, India * Bani, South Khorasan or Boniabad, a village in South Khorasan Province, Iran Elsewhere *Baní, a city in the Dominican Republic People *Bani Lozano, Honduran soccer player Other uses *Banu (Arabic), Beni, Bene or Banī, Arabic for "the sons of" or "children of" which appears before the name of a tribal progenitor ** Bani Isra'il (other) * Bani (letter), a letter of the Georgian alp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University In New York
Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhattan, Columbia is the oldest institution of higher education in New York and the fifth-oldest institution of higher learning in the United States. It is one of nine colonial colleges founded prior to the Declaration of Independence. It is a member of the Ivy League. Columbia is ranked among the top universities in the world. Columbia was established by royal charter under George II of Great Britain. It was renamed Columbia College in 1784 following the American Revolution, and in 1787 was placed under a private board of trustees headed by former students Alexander Hamilton and John Jay. In 1896, the campus was moved to its current location in Morningside Heights and renamed Columbia University. Columbia scientists and scholars have played a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of North Carolina At Chapel Hill
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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