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 picture info Subtraction SUBTRACTION is a mathematical operation that represents the operation of removing objects from a collection. It is signified by the minus sign (−). For example, in the picture on the right, there are 5 − 2 apples—meaning 5 apples with 2 taken away, which is a total of 3 apples. Therefore, 5 − 2 = 3. Subtraction Subtraction represents removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers , fractions , irrational numbers , vectors , decimals, functions, and matrices. Subtraction Subtraction follows several important patterns. It is anticommutative , meaning that changing the order changes the sign of the answer. It is not associative , meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Subtraction Subtraction of 0 does not change a number [...More...] "Subtraction" on: Wikipedia Google Yahoo picture info English Language ENGLISH is a West Germanic language that was first spoken in early medieval England and is now the third most widespread native language in the world, after Standard Chinese Standard Chinese and Spanish , as well as the most widely spoken Germanic language . Named after the Angles Angles , one of the Germanic tribes that migrated to Great Britain Great Britain , it ultimately derives its name from the Anglia (Angeln) peninsula in the Baltic Sea Baltic Sea . It is closely related to the other West Germanic languages Germanic languages of Frisian , Low German/Low Saxon , German , Dutch , and Afrikaans Afrikaans . The English vocabulary has been significantly influenced by French (a Romance language ), Norse (a North Germanic language ), and by Latin Latin [...More...] "English Language" on: Wikipedia Google Yahoo picture info Verb A VERB, from the Latin Latin verbum meaning word, is a word (part of speech ) that in syntax conveys an action (bring, read, walk, run, learn), an occurrence (happen, become), or a state of being (be, exist, stand). In the usual description of English , the basic form, with or without the particle to, is the infinitive . In many languages , verbs are inflected (modified in form) to encode tense , aspect , mood , and voice . A verb may also agree with the person , gender or number of some of its arguments , such as its subject , or object . Verbs have tenses: present, to indicate that an action is being carried out; past, to indicate that an action has been done; future, to indicate that an action will be done [...More...] "Verb" on: Wikipedia Google Yahoo picture info Compound (linguistics) In linguistics , a COMPOUND is a lexeme (less precisely, a word ) that consists of more than one stem . COMPOUNDING, COMPOSITION or NOMINAL COMPOSITION is the process of word formation that creates compound lexemes. That is, in familiar terms, compounding occurs when two or more words are joined to make one longer word. The meaning of the compound may be similar to or different from the meanings of its components in isolation. The component stems of a compound may be of the same part of speech—as in the case of the English word footpath, composed of the two nouns foot and path—or they may belong to different parts of speech, as in the case of the English word blackbird, composed of the adjective black and the noun bird. With very few exceptions, English compound words are stressed on their first component stem. The process occurs readily in other Germanic languages Germanic languages for different reasons [...More...] "Compound (linguistics)" on: Wikipedia Google Yahoo Gerundive GERUNDIVE (/dʒəˈrʌndɪv/ ) is a term in Latin grammar for a verb form that functions as an adjective . Traditionally, the term has been applied to verbal adjectives and nouns in other languages. In Classical Latin Classical Latin , the gerundive is distinct in form and function from the gerund and the present active participle . In Late Latin Late Latin , the differences were largely lost, resulting in a form derived from the gerund or gerundive but functioning more like a participle. The adjectival gerundive form survives in the formation of progressive aspect forms in Italian , Spanish and Brazilian Portuguese . In French the adjectival gerundive and particle forms merged completely, and the term gérondif is used for adverbial use of -ant forms. There is no true equivalent to the gerundive in English; the closest translation is a passive to-infinitive non-finite clause such as books TO BE READ [...More...] "Gerundive" on: Wikipedia Google Yahoo picture info Latin LATIN (Latin: lingua latīna, IPA: ) is a classical language belonging to the Italic branch of the Indo-European languages Indo-European languages . The Latin alphabet is derived from the Etruscan and Greek alphabets , and ultimately from the Phoenician alphabet Phoenician alphabet . Latin Latin was originally spoken in Latium Latium , in the Italian Peninsula Italian Peninsula . Through the power of the Roman Republic Roman Republic , it became the dominant language, initially in Italy and subsequently throughout the Roman Empire . Vulgar Latin developed into the Romance languages Romance languages , such as Italian , Portuguese , Spanish , French , and Romanian [...More...] "Latin" on: Wikipedia Google Yahoo picture info Logarithm In mathematics , the LOGARITHM is the inverse operation to exponentiation , just as division is the inverse of multiplication 10 is used as a factor three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such that by = x. For example, log2(64) = 6, as 64 = 26. The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics , because of its simpler derivative . The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science [...More...] "Logarithm" on: Wikipedia Google Yahoo picture info Equals Sign ؋ ​₳ ​ ฿ ​₿ ​ ₵ ​¢ ​₡ ​₢ ​ \$ ​₫ ​₯ ​֏ ​ ₠ ​€ ​ ƒ ​₣ ​ ₲ ​ ₴ ​ ₭ ​ ₺ ​₾ ​ ₼ ​ℳ ​₥ ​ ₦ ​ ₧ ​₱ ​₰ ​£ ​ 元 圆 圓 ​﷼ ​៛ ​₽ ​₹ ₨ ​ ₪ ​ ৳ ​₸ ​₮ ​ ₩ ​ ¥ 円 UNCOMMON TYPOGRAPHY asterism ⁂ hedera ❧ index, fist ☞ interrobang ‽ irony punctuation ⸮ lozenge ◊ tie ⁀ RELATED* * Diacritics * Logic symbols * Whitespace characters IN OTHER SCRIPTS * Chinese * Hebrew * Japanese * Korean * Category Category * Portal Portal * Book Book * v * t * e "=" and "＝" redirect here. For double hyphens, see Double hyphen . For other uses, see Equals (other) . For technical reasons , ":=" redirects here [...More...] "Equals Sign" on: Wikipedia Google Yahoo picture info Bordeaux 1 French Land Register data, which excludes lakes, ponds, glaciers > 1 km² (0.386 sq mi or 247 acres) and river estuaries. 2 Population without double counting : residents of multiple communes (e.g., students and military personnel) only counted once. BORDEAUX (French pronunciation: ​ ; Gascon Occitan : Bordèu) is a port city on the Garonne Garonne River in the Gironde Gironde department in southwestern France France . The municipality (commune ) of Bordeaux Bordeaux proper has a population of 243,626 (2012). Together with its suburbs and satellite towns , Bordeaux Bordeaux is the centre of the Bordeaux Métropole . With 749,595 inhabitants (as of 2013 ) and 1,178,335 in the metropolitan area, it is the sixth largest in France, after Paris, Marseille, Lyon, Toulouse and Lille [...More...] "Bordeaux" on: Wikipedia Google Yahoo picture info Nth Root In mathematics , an NTH ROOT of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x r n = x , {displaystyle r^{n}=x,} where n is the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root . Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. For example: * 3 is a square root of 9, since 32 = 9. * −3 is also a square root of 9, since (−3)2 = 9.A real number or complex number has n complex roots of degree n. While the roots of 0 are not distinct (all equaling 0), the n nth roots of any other real or complex number are all distinct. If n is even and x is real and positive, one of its nth roots is positive, one is negative, and the rest are either non-existent (in the case when n = 2) or complex but not real; if n is even and x is real and negative, none of the nth roots is real [...More...] "Nth Root" on: Wikipedia Google Yahoo Affix An AFFIX (in modern sense) is a morpheme that is attached to a word stem to form a new word or word form. Affixes may be derivational , like English -ness and pre-, or inflectional , like English plural -s and past tense -ed. They are bound morphemes by definition; prefixes and suffixes may be separable affixes . Affixations, the linguistic process speakers use form different words by adding morphemes (affixes) at the beginning (prefixation), the middle (infixation) or the end (suffixation) of words. CONTENTS * 1 Positional categories of affixes * 2 Lexical affixes * 3 Orthographic affixes * 4 See also * 5 References * 6 Bibliography * 7 External links POSITIONAL CATEGORIES OF AFFIXESAffixes are divided into many categories, depending on their position with reference to the stem. Prefix and suffix are extremely common terms. Infix and circumfix are less so, as they are not important in European languages. The other terms are uncommon [...More...] "Affix" on: Wikipedia Google Yahoo picture info Line Segment In geometry , a LINE SEGMENT is a part of a line that is bounded by two distinct end points , and contains every point on the line 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. 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 otherwise 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) [...More...] "Line Segment" on: Wikipedia Google Yahoo picture info Natural Numbers In mathematics , the NATURAL NUMBERS are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, words used for counting are "cardinal numbers " and words used for ordering are "ordinal numbers ". Some definitions, including the standard ISO 80000-2 , begin the natural numbers with 0 , corresponding to the NON-NEGATIVE INTEGERS 0, 1, 2, 3, …, whereas others start with 1, corresponding to the POSITIVE INTEGERS 1 , 2 , 3 , …. Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the WHOLE NUMBERS, but in other writings, that term is used instead for the integers (including negative integers) [...More...] "Natural Numbers" on: Wikipedia Google Yahoo Closure (mathematics) A set has CLOSURE under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is CLOSED under the operation. For example, the positive integers are closed under addition, but not under subtraction: 1 2 {displaystyle 1-2} is not a positive integer even though both 1 and 2 are positive integers. Another example is the set containing only zero, which is closed under addition, subtraction and multiplication (because 0 + 0 = 0 {displaystyle 0+0=0} , 0 0 = 0 {displaystyle 0-0=0} , and 0 0 = 0 {displaystyle 0times {0}=0} ). Similarly, a set is said to be CLOSED UNDER A COLLECTION OF OPERATIONS if it is closed under each of the operations individually [...More...] "Closure (mathematics)" on: Wikipedia Google Yahoo picture info Ring (mathematics) In mathematics , a RING is one of the fundamental algebraic structures used in abstract algebra . It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication . Through this generalization, theorems from arithmetic are extended to non-numerical objects such as polynomials , series , matrices and functions . The conceptualization of rings started in the 1870s and completed in the 1920s. Key contributors include Dedekind , Hilbert , Fraenkel , and Noether . Rings were first formalized as a generalization of Dedekind domains that occur in number theory , and of polynomial rings and rings of invariants that occur in algebraic geometry and invariant theory . Afterward, they also proved to be useful in other branches of mathematics such as geometry and mathematical analysis [...More...] "Ring (mathematics)" on: Wikipedia Google Yahoo picture info Natural Number In mathematics , the NATURAL NUMBERS are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, words used for counting are "cardinal numbers " and words used for ordering are "ordinal numbers ". Some definitions, including the standard ISO 80000-2 , begin the natural numbers with 0 , corresponding to the NON-NEGATIVE INTEGERS 0, 1, 2, 3, …, whereas others start with 1, corresponding to the POSITIVE INTEGERS 1 , 2 , 3 , …. Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the WHOLE NUMBERS, but in other writings, that term is used instead for the integers (including negative integers) [...More...] "Natural Number" on: Wikipedia Google Yahoo
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