|
Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which alw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Punjabi Language
Punjabi (; ; , ), sometimes spelled Panjabi, is an Indo-Aryan languages, Indo-Aryan language of the Punjab, Punjab region of Pakistan and India. It has approximately 113 million native speakers. Punjabi is the most widely-spoken first language in Pakistan, with 80.5 million native speakers as per the 2017 Census of Pakistan, 2017 census, and the 11th most widely-spoken in India, with 31.1 million native speakers, as per the 2011 Census of India, 2011 census. The language is spoken among a Punjabi diaspora, significant overseas diaspora, particularly in Canada, the United States, and the United Kingdom. In Pakistan, Punjabi is written using the Shahmukhi alphabet, based on the Persian alphabet, Perso-Arabic script; in India, it is written using the Gurmukhi, Gurmukhi alphabet, based on the Brahmic scripts, Indic scripts. Punjabi is unusual among the Indo-Aryan languages and the broader Indo-European languages, Indo-European language family in its usage of Tone (linguistics) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bengali Language
Bengali ( ), generally known by its endonym Bangla (, ), is an Indo-Aryan language native to the Bengal region of South Asia. It is the official, national, and most widely spoken language of Bangladesh and the second most widely spoken of the 22 scheduled languages of India. With approximately 300 million native speakers and another 37 million as second language speakers, Bengali is the fifth most-spoken native language and the seventh most spoken language by total number of speakers in the world. Bengali is the fifth most spoken Indo-European language. Bengali is the official and national language of Bangladesh, with 98% of Bangladeshis using Bengali as their first language. Within India, Bengali is the official language of the states of West Bengal, Tripura and the Barak Valley region of the state of Assam. It is also a second official language of the Indian state of Jharkhand since September 2011. It is the most widely spoken language in the Andaman and Nic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kannada Language
Kannada (; ಕನ್ನಡ, ), originally romanised Canarese, is a Dravidian language spoken predominantly by the people of Karnataka in southwestern India, with minorities in all neighbouring states. It has around 47 million native speakers, and was additionally a second or third language for around 13 million non-native speakers in Karnataka. Kannada was the court language of some of the most powerful dynasties of south and central India, namely the Kadambas, Chalukyas, Rashtrakutas, Yadava Dynasty or Seunas, Western Ganga dynasty, Wodeyars of Mysore, Nayakas of Keladi Hoysalas and the Vijayanagara empire. The official and administrative language of the state of Karnataka, it also has scheduled status in India and has been included among the country's designated classical languages.Kuiper (2011), p. 74R Zydenbos in Cushman S, Cavanagh C, Ramazani J, Rouzer P, ''The Princeton Encyclopedia of Poetry and Poetics: Fourth Edition'', p. 767, Princeton Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chinese Numeral
Chinese numerals are words and characters used to denote numbers in Chinese. Today, speakers of Chinese use three written numeral systems: the system of Arabic numerals used worldwide, and two indigenous systems. The more familiar indigenous system is based on Chinese characters that correspond to numerals in the spoken language. These may be shared with other languages of the Chinese cultural sphere such as Korean, Japanese, and Vietnamese. Most people and institutions in China primarily use the Arabic or mixed Arabic-Chinese systems for convenience, with traditional Chinese numerals used in finance, mainly for writing amounts on cheques, banknotes, some ceremonial occasions, some boxes, and on commercials. The other indigenous system is the Suzhou numerals, or ''huama'', a positional system, the only surviving form of the rod numerals. These were once used by Chinese mathematicians, and later by merchants in Chinese markets, such as those in Hong Kong until the 1990s, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called ''numerals''; for example, "5" is a numeral that represents the number five. As only a relatively small number of symbols can be memorized, basic numerals are commonly organized in a numeral system, which is an organized way to represent any number. The most common numeral system is the Hindu–Arabic numeral system, which allows for the representation of any number using a combination of ten fundamental numeric symbols, called digits. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial number A serial number is a unique identifier assigned incrementally or sequentially to an item, to ''uniquely'' identi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hebrew Language
Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved throughout history as the main liturgical language of Judaism (since the Second Temple period) and Samaritanism. Hebrew is the only Canaanite language still spoken today, and serves as the only truly successful example of a dead language that has been revived. It is also one of only two Northwest Semitic languages still in use, with the other being Aramaic. The earliest examples of written Paleo-Hebrew date back to the 10th century BCE. Nearly all of the Hebrew Bible is written in Biblical Hebrew, with much of its present form in the dialect that scholars believe flourished around the 6th century BCE, during the time of the Babylonian captivity. For this reason, Hebrew has been referred to by Jews as ''Lashon Hakodesh'' (, ) since a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numeral (linguistics)
In linguistics, a numeral (or number word) in the broadest sense is a word or phrase that describes a numerical quantity. Some theories of grammar use the word "numeral" to refer to cardinal numbers that act as a determiner that specify the quantity of a noun, for example the "two" in "two hats". Some theories of grammar do not include determiners as a part of speech and consider "two" in this example to be an adjective. Some theories consider "numeral" to be a synonym for "number" and assign all numbers (including ordinal numbers like the compound word "seventy-fifth") to a part of speech called "numerals". Numerals in the broad sense can also be analyzed as a noun ("three is a small number"), as a pronoun ("the two went to town"), or for a small number of words as an adverb ("I rode the slide twice"). Numerals can express relationships like quantity (cardinal numbers), sequence (ordinal numbers), frequency (once, twice), and part (fraction). Identifying numerals Numer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Numeral
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary cardinal numbers, however, modern Greece uses Arabic numerals. History The Minoan and Mycenaean civilizations' Linear A and Linear B alphabets used a different system, called Aegean numerals, which included number-only symbols for powers of ten: = 1, = 10, = 100, = 1000, and = 10000. Attic numerals comprised another system that came into use perhaps in the 7th century BCE. They were acrophonic, derived (after the initial one) from the first letters of the names of the numbers represented. They ran = 1, = 5, = 10, = 100, = 1,000, and = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Safe Prime
In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes are named after French mathematician Sophie Germain, who used them in her investigations of Fermat's Last Theorem. One attempt by Germain to prove Fermat’s Last Theorem was to let ''p'' be a prime number of the form 8''k'' + 7 and to let ''n'' = ''p'' – 1. In this case, x^n + y^n = z^n is unsolvable. Germain’s proof, however, remained unfinished. Through her attempts to solve Fermat's Last Theorem, Germain developed a result now known as Germain's Theorem which states that if ''p'' is an odd prime and 2''p'' + 1 is also prime, then ''p'' must divide ''x'', ''y'', or ''z.'' Otherwise, x^n + y^n \neq z^n. This case where ''p'' does not divide ''x'', ''y'', or ''z'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Persian Language
Persian (), also known by its endonym and exonym, endonym Farsi (, ', ), is a Western Iranian languages, Western Iranian language belonging to the Iranian languages, Iranian branch of the Indo-Iranian languages, Indo-Iranian subdivision of the Indo-European languages. Persian is a pluricentric language predominantly spoken and used officially within Iran, Afghanistan, and Tajikistan in three mutual intelligibility, mutually intelligible standard language, standard varieties, namely Iranian Persian (officially known as ''Persian''), Dari, Dari Persian (officially known as ''Dari'' since 1964) and Tajik language, Tajiki Persian (officially known as ''Tajik'' since 1999).Siddikzoda, S. "Tajik Language: Farsi or not Farsi?" in ''Media Insight Central Asia #27'', August 2002. It is also spoken natively in the Tajik variety by a significant population within Uzbekistan, as well as within other regions with a Persianate society, Persianate history in the cultural sphere of Greater Ira ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Devanāgarī
Devanagari ( ; , , Sanskrit pronunciation: ), also called Nagari (),Kathleen Kuiper (2010), The Culture of India, New York: The Rosen Publishing Group, , page 83 is a left-to-right abugida (a type of segmental writing system), based on the ancient ''Brāhmī'' script, used in the northern Indian subcontinent. It was developed and in regular use by the 7th century CE. The Devanagari script, composed of 47 primary characters, including 14 vowels and 33 consonants, is the fourth most widely adopted writing system in the world, being used for over 120 languages.Devanagari (Nagari) , Script Features and Description, (2013), United States The < ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
