|
Square Root
In mathematics, a square root of a number is a number such that y^2 = x; in other words, a number whose ''square'' (the result of multiplying the number by itself, or y \cdot y) is . For example, 4 and −4 are square roots of 16 because 4^2 = (-4)^2 = 16. Every nonnegative real number has a unique nonnegative square root, called the ''principal square root'' or simply ''the square root'' (with a definite article, see below), which is denoted by \sqrt, where the symbol "\sqrt" is called the '' radical sign'' or ''radix''. For example, to express the fact that the principal square root of 9 is 3, we write \sqrt = 3. The term (or number) whose square root is being considered is known as the ''radicand''. The radicand is the number or expression underneath the radical sign, in this case, 9. For non-negative , the principal square root can also be written in exponent notation, as x^. Every positive number has two square roots: \sqrt (which is positive) and -\sqrt (which i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nuvola Apps Edu Mathematics Blue-p
Nuvola is a free software icon set under the GNU LGPL 2.1 license, created by David Vignoni. Originally created for desktop environments like KDE and GNOME, it is also available in packages for Microsoft Windows, Windows and Apple Macintosh, Mac. The final version, 1.0, contains almost 600 icons. The default set is in the Portable Network Graphics, PNG graphics format; an Scalable Vector Graphics, SVG version is also available. The application icons, in particular, colourfully represent a wide variety of commonplace and easily recognised objects. Uses Besides KDE and GNOME, ''Nuvola'' is used by the Pidgin (software), Pidgin instant messaging client, the Amarok (software), Amarok media player and the KeePass password manager. Nuvola is the default icon set on the OpenLab GNU/Linux distribution. It is also used for many purposes on Wikimedia Foundation projects. Examples of icons File:Nuvola apps evolution.png File:Nuvola apps core.svg File:Nuvola apps colors.png File:Nuvola ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sexagesimal
Sexagesimal, also known as base 60, is a numeral system with 60 (number), sixty as its radix, base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form—for measuring time, angles, and geographic coordinate system, geographic coordinates. The number 60, a superior highly composite number, has twelve divisors, namely 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, of which 2, 3, and 5 are prime numbers. With so many factors, many fractions involving sexagesimal numbers are simplified. For example, one hour can be divided evenly into sections of 30 minutes, 20 minutes, 15 minutes, 12 minutes, 10 minutes, 6 minutes, 5 minutes, 4 minutes, 3 minutes, 2 minutes, and 1 minute. 60 is the smallest number that is divisible by every number from 1 to 6; that is, it is the lowest common multiple of 1, 2, 3, 4, 5, and 6. ''In this article, all sexagesimal digits are represented as decimal numbers, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ratio
In mathematics, a ratio () shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7). The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be Positive integer, positive. A ratio may be specified either by giving both constituting numbers, written as "''a'' to ''b''" or "''a'':''b''", or by giving just the value of their quotient Equal quotients correspond to equal ratios. A statement expressing the equality of two ratios is called a ''proportion''. Consequently, a ratio may be considered as an ordered pair of numbers, a Fraction (mathematic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Irrational Number
In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being '' incommensurable'', meaning that they share no "measure" in common, that is, there is no length ("the measure"), no matter how short, that could be used to express the lengths of both of the two given segments as integer multiples of itself. Among irrational numbers are the ratio of a circle's circumference to its diameter, Euler's number ''e'', the golden ratio ''φ'', and the square root of two. In fact, all square roots of natural numbers, other than of perfect squares, are irrational. Like all real numbers, irrational numbers can be expressed in positional notation, notably as a decimal number. In the case of irrational numbers, the decimal expansion does not terminate, nor end ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square Number
In mathematics, a square number or perfect square is an integer that is the square (algebra), square of an integer; in other words, it is the multiplication, product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The usual notation for the square of a number is not the product , but the equivalent exponentiation , usually pronounced as " squared". The name ''square'' number comes from the name of the shape. The unit of area is defined as the area of a unit square (). Hence, a square with side length has area . If a square number is represented by ''n'' points, the points can be arranged in rows as a square each side of which has the same number of points as the square root of ''n''; thus, square numbers are a type of Figurate number, figurate numbers (other examples being Cube (algebra), cube numbers and triangular numbers). In the Real number, real number system, square numbers are non-negative. A non-negative integer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive integers Some authors acknowledge both definitions whenever convenient. Sometimes, the whole numbers are the natural numbers as well as zero. In other cases, the ''whole numbers'' refer to all of the integers, including negative integers. The counting numbers are another term for the natural numbers, particularly in primary education, and are ambiguous as well although typically start at 1. The natural numbers are used for counting things, like "there are ''six'' coins on the table", in which case they are called ''cardinal numbers''. They are also used to put things in order, like "this is the ''third'' largest city in the country", which are called ''ordinal numbers''. Natural numbers are also used as labels, like Number (sports), jersey ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aryabhatiya
''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Indian astronomy, Sanskrit astronomical treatise, is the ''Masterpiece, magnum opus'' and only known surviving work of the 5th century Indian mathematics, Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions. Structure and style Aryabhatiya is written in Sanskrit and divided into four sections; it covers a total of 121 verses describing different moralitus via a mnemonic writing style typical for such works in India (see definitions below): # Gitikapada (13 verses): large units of time—Kalpa (aeon), kalpa, manvantara, and Yuga Cycle, yuga—which present a cosmology different from earlier texts such as Lagadha's Vedanga Jyotisha (ca. 1st century BCE). There is also a table of [sine]s (jya), given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years, using the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aryabhata
Aryabhata ( ISO: ) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the '' Āryabhaṭīya'' (which mentions that in 3600 '' Kali Yuga'', 499 CE, he was 23 years old) and the ''Arya- siddhanta''. For his explicit mention of the relativity of motion, he also qualifies as a major early physicist. Biography Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the " bhatta" suffix, his name is properly spelled Aryabhata: every astronomical text spells his name thus, including Brahmagupta's references to him "in more than a hundred places by name". Furthermore, in most instances "Aryabhatta" would not fit the metre either. Time and place of birth Aryabhata mentions in the ''Aryabhatiya'' that he was 23 years old 3,600 years into the '' Kali Yuga'', but this is not to mean that the text was composed at that ti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apastamba
''Āpastamba Dharmasūtra'' (Sanskrit: आपस्तम्ब धर्मसूत्र) is a Sanskrit text and one of the oldest Dharma-post vedic smriti related texts of Hinduism that have survived into the modern age from the 1st millennium BCE. It is one of three extant Dharmasutras texts from the Taittiriya school which is relatively newer in comparison to Maitrayaniya shakha of Krishna Yajurveda, the other two being ''Baudhayana Dharmasutra'' and ''Hiranyakesin Dharmasutra''. The ''Apastamba Dharmasutra'' is part of ''Apastamba Kalpasutra'' collection, along with ''Apastamba Shrautasutra'' and ''Apastamba Grihyasutra''. One of the best preserved ancient texts on Dharma, it is also notable for mentioning and citing views of ten ancient experts on Dharma, which has led scholars to conclude that there existed a rich genre of Dharmasutras text in ancient India before this text was composed. Authorship, location and dates The Dharmasutra is attributed to Apastamba, the fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Baudhayana Sulba Sutra
The (Sanskrit: बौधायन सूत्रस् ) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived into the modern age from the 1st-millennium BCE. They belong to the '' Taittiriya'' branch of the Krishna Yajurveda school and are among the earliest texts of the genre.. In relative chronology, they predate Āpastamba, which is dated by Robert Lingat to the ''sutra'' period proper, between c. 500 to 200 BCE. Robert Lingat, The Classical Law of India, (Munshiram Manoharlal Publishers Pvt Ltd, 1993), p. 20 The Baudhayana sūtras consist of six texts: # the , probably in 19 (questions), # the in 20 (chapters), # the in 4 , # the Grihyasutra in 4 , # the in 4 and # the in 3 . The ' is noted for containing several early mathematical results, including an approximation of the square root of 2 and the statement of the Pythagorean theorem. Baudhā ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sulba Sutras
The ''Shulva Sutras'' or ''Śulbasūtras'' (Sanskrit: शुल्बसूत्र; ': "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction. Purpose and origins The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique Vedi (fire-altar) shapes were associated with unique gifts from the Gods. For instance, "he who desires heaven is to construct a fire-altar in the form of a falcon"; "a fire-altar in the form of a tortoise is to be constructed by one desiring to win the world of Brahman" and "those who wish to destroy existing and future enemies should construct a fire-altar in the form of a rhombus"., p. 387, "Certain shapes and sizes of fire-altars were associated with particular gifts that the sacrificer desired from the gods: 'he who desire ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of India
Anatomically modern humans first arrived on the Indian subcontinent between 73,000 and 55,000 years ago. The earliest known human remains in South Asia date to 30,000 years ago. Sedentism, Sedentariness began in South Asia around 7000 BCE; by 4500 BCE, settled life had spread, and gradually evolved into the Indus Valley Civilisation, one of three early Cradle of civilization, cradles of civilisation in the Old World, which flourished between 2500 BCE and 1900 BCE in present-day Pakistan and north-western India. Early in the second millennium BCE, 4.2 kiloyear event, persistent drought caused the population of the Indus Valley to scatter from large urban centres to villages. Rigvedic tribes, Indo-Aryan tribes moved into the Punjab from Central Asia in several Indo-Aryan migration theory, waves of migration. The Vedic Period of the Vedic people in northern India (1500–500 BCE) was marked by the composition of their extensive collections of hymns (Vedas). The social structure ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
