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Sthānāṅgasūtra
Sthananga Sutra (Sanskrit: Sthānāṅgasūtra; Prakrit: Ṭhāṇaṃgasutta) (c. 3rd–4th century BCE) forms part of the first eleven Angas of the Jaina Canon which have survived despite the bad effects of this Hundavasarpini kala as per the Śvetāmbara belief. This is the reason why, under the leadership of Devardhigani Ksamasramana, the eleven Angas of the Śvetāmbara canon were formalised and reduced to writing. This took place at Valabhi 993 years after Māhavīra's nirvana. (466 CE). In the vacana held at Valabhi, in Gujarat, the Sthananga Sutra was finalised and redacted. The language used is Ardhamāgadhī Prakrit. The mula sutras of the Sthananga Sutra are difficult to understand without the help of a commentary or tika. Hence, in the 11th century CE, Abhayadevasuri wrote a comprehensive Sanskrit gloss on the Sthananga Sutra. Description The Sthānāngasūtra is known in Prakrit as the Thanam. Hence, the style of the Sthananga Sutra is unique. It is divided into ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jain Texts
Jain literature () refers to the literature of the Jainism, Jain religion. It is a vast and ancient literary tradition, which was initially transmitted orally. The oldest surviving material is contained in the canonical ''Jain Agamas'', which are written in Ardhamagadhi Prakrit, Ardhamagadhi, a Prakrit (Middle Indo-Aryan languages, Middle-Indo Aryan) language. Various commentaries were written on these canonical texts by later Jain monasticism, Jain monks. Later works were also written in other languages, like Sanskrit and Maharashtri Prakrit. Jain literature is primarily divided between the canons of the ''Digambara'' and ''Śvētāmbara'' orders. These two main sects of Jainism do not always agree on which texts should be considered authoritative. More recent Jain literature has also been written in other languages, like Marathi language, Marathi, Tamil language, Tamil, Rajasthani language, Rajasthani, Dhundari language, Dhundari, Marwari language, Marwari, Hindi language, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arithmetic
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers they operate on. Integer arithmetic is about calculations with positive and negative integers. Rational number arithmetic involves operations on fractions of integers. Real number arithmetic is about calculations with real numbers, which include both rational and irrational numbers. Another distinction is based on the numeral system employed to perform calculations. Decimal arithmetic is the most common. It uses the basic numerals from 0 to 9 and their combinations to express numbers. Binary arithmetic, by contrast, is used by most computers and represents numbers as combinations of the basic numerals 0 and 1. Computer arithmetic deals with the specificities of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jambūvijaya
Jambuvijaya (1923–2009), also known as Muni Jambuvijayji Maharajsaheb, was a monk belonging to the Tapa Gaccha order of Śvetāmbara sect of Jainism. He was known for his pioneering work in research, cataloguing and translations of ''Jain Agamas'' and ancient texts. He was responsible for discovering and publishing many ancient Jains texts lying in different forgotten Jain ''jnana bhandaras'' (ancient Jain libraries). He was a disciple of Muni Punyavijay. Both Muni Punyavijay and Jambuvijay worked all their life in the compilation and publication of ancient Jain Agama literature and cataloguing ancient Jain jnana bhandaras. Muni Jambuvijay was a scholar who devoted his entire life to critically editing Jain scriptures. Early life and family Jambuvijaya was born as Chunilal Bhogilal Joitram in 1923 in town of Mandal, Gujarat. His father's name was Bhogilal Mohanlal Joitram (1895–1959) and his mother's name was Aniben Popatlal (1894–1995). He was born in a deeply religious ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinity
Infinity is something which is boundless, endless, or larger than any natural number. It is denoted by \infty, called the infinity symbol. From the time of the Ancient Greek mathematics, ancient Greeks, the Infinity (philosophy), philosophical nature of infinity has been the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including Guillaume de l'Hôpital, l'Hôpital and Johann Bernoulli, Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or Magnitude (mathematics), magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combination
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange. More formally, a ''k''-combination of a set ''S'' is a subset of ''k'' distinct elements of ''S''. So, two combinations are identical if and only if each combination has the same members. (The arrangement of the members in each set does not matter.) If the set has ''n'' elements, the number of ''k''-combinations, denoted by C(n,k) or C^n_k, is equal to the binomial coefficient \binom nk = \frac, which can be written using factorials as \textstyle\frac whenever k\leq n, and which is zero when k>n. This formula can be derived from the fact that each ''k''-combination of a set ''S'' of ''n'' members has k! permu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Permutation
In mathematics, a permutation of a set can mean one of two different things: * an arrangement of its members in a sequence or linear order, or * the act or process of changing the linear order of an ordered set. An example of the first meaning is the six permutations (orderings) of the set : written as tuples, they are (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). Anagrams of a word whose letters are all different are also permutations: the letters are already ordered in the original word, and the anagram reorders them. The study of permutations of finite sets is an important topic in combinatorics and group theory. Permutations are used in almost every branch of mathematics and in many other fields of science. In computer science, they are used for analyzing sorting algorithms; in quantum physics, for describing states of particles; and in biology, for describing RNA sequences. The number of permutations of distinct objects is factorial, us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quartic Equation
In mathematics, a quartic equation is one which can be expressed as a ''quartic function'' equaling zero. The general form of a quartic equation is :ax^4+bx^3+cx^2+dx+e=0 \, where ''a'' ≠ 0. The quartic is the highest order polynomial equation that can be solved by radicals in the general case. History Lodovico Ferrari is attributed with the discovery of the solution to the quartic in 1540, but since this solution, like all algebraic solutions of the quartic, requires the solution of a cubic to be found, it could not be published immediately. The solution of the quartic was published together with that of the cubic by Ferrari's mentor Gerolamo Cardano in the book '' Ars Magna'' (1545). The proof that this was the highest order general polynomial for which such solutions could be found was first given in the Abel–Ruffini theorem in 1824, proving that all attempts at solving the higher order polynomials would be futile. The notes left by Évariste Galois before ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cubic Equation
In algebra, a cubic equation in one variable is an equation of the form ax^3+bx^2+cx+d=0 in which is not zero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients , , , and of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). All of the roots of the cubic equation can be found by the following means: * algebraically: more precisely, they can be expressed by a ''cubic formula'' involving the four coefficients, the four basic arithmetic operations, square roots, and cube roots. (This is also true of quadratic (second-degree) and quartic (fourth-degree) equations, but not for higher-degree equations, by the Abel–Ruffini theorem.) * trigonometrically * numerical approximations of the roots can be found using root-finding algorithms such as Newton's method. The coefficients do not need to be real ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equation
In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in French an ''équation'' is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables. The " =" symbol, which appears in every equati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fraction
A fraction (from , "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A ''common'', ''vulgar'', or ''simple'' fraction (examples: and ) consists of an integer numerator, displayed above a line (or before a slash like ), and a division by zero, non-zero integer denominator, displayed below (or after) that line. If these integers are positive, then the numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. For example, in the fraction , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates of a cake. Fractions can be used to represent ratios and division (mathematics), division. Thus the fraction can be used to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jainism
Jainism ( ), also known as Jain Dharma, is an Indian religions, Indian religion whose three main pillars are nonviolence (), asceticism (), and a rejection of all simplistic and one-sided views of truth and reality (). Jainism traces its spiritual ideas and history through the succession of twenty-four , supreme preachers of ''dharma''. The first in the current time cycle is Rishabhadeva, who tradition holds lived millions of years ago; the 23rd is Parshvanatha, traditionally dated to the 9th century Common Era, BCE; and the 24th is Mahāvīra, Mahavira, who lived . Jainism is considered an eternal ''dharma'' with the guiding every time cycle of the Jain cosmology, cosmology. Central to understanding Jain philosophy is the concept of ''bhedavijñāna'', or the clear distinction in the nature of the soul and non-soul entities. This principle underscores the innate purity and potential for liberation within every Jīva (Jainism), soul, distinct from the physical and menta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
