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Radical sign

Radical Rad"i*cal, a. [F., fr. L. radicalis having roots, fr. radix, -icis, a root. See Radix.] 1. Of or pertaining to the root; proceeding directly from the root. 2. Hence: Of or pertaining to the root or origin; reaching to the center, to the foundation to the ultimate sources to the principles, or the like: original; fundamental; thorough-going; unsparing; extreme; as, radical evils; radical reform; a radical party. The most determined exertions of that authority, against them, only showed their radical independence. --Burke. 3. (Bot.) (a) Belonging to, or proceeding from, the root of a plant; as, radical tubers or hairs. (b) Proceeding from a rootlike stem, or one which does not rise above the ground; as, the radical leaves of the dandelion and the sidesaddle flower. 4. (Philol.) Relating, or belonging, to the root, or ultimate source of derivation; as, a radical verbal form. 5. (Math.) Of or pertaining to a radix or root; as, a radical quantity; a radical sign. See below. Radical axis of two circles. (Geom.) See under Axis. Radical pitch, the pitch or tone with which the utterance of a syllable begins. --Rush. Radical quantity (Alg.), a quantity to which the radical sign is prefixed; specifically, a quantity which is not a perfect power of the degree indicated by the radical sign; a surd. Radical sign (Math.), the sign [root] (originally the letter r, the initial of radix, root), placed before any quantity, denoting that its root is to be extracted; thus, [root]a, or [root](a + b). To indicate any other than the square root, a corresponding figure is placed over the sign; thus [cuberoot]a, indicates the third or cube root of a. Radical stress (Elocution), force of utterance falling on the initial part of a syllable or sound. Radical vessels (Anat.), minute vessels which originate in the substance of the tissues. Syn: Primitive; original; natural; underived; fundamental; entire. Usage: Radical, Entire. These words are frequently employed as interchangeable in describing some marked alternation in the condition of things. There is, however, an obvious difference between them. A radical cure, reform, etc., is one which goes to the root of the thing in question; and it is entire, in the sense that, by affecting the root, it affects in a appropriate degree the entire body nourished by the root; but it may not be entire in the sense of making a change complete in its nature, as well as in its extent. Hence, we speak of a radical change; a radical improvement; radical differences of opinion; while an entire change, an entire improvement, an entire difference of opinion, might indicate more than was actually intended. A certain change may be both radical and entire, in every sense.

Radical Rad"i*cal, a. [F., fr. L. radicalis having roots, fr. radix, -icis, a root. See Radix.] 1. Of or pertaining to the root; proceeding directly from the root. 2. Hence: Of or pertaining to the root or origin; reaching to the center, to the foundation to the ultimate sources to the principles, or the like: original; fundamental; thorough-going; unsparing; extreme; as, radical evils; radical reform; a radical party. The most determined exertions of that authority, against them, only showed their radical independence. --Burke. 3. (Bot.) (a) Belonging to, or proceeding from, the root of a plant; as, radical tubers or hairs. (b) Proceeding from a rootlike stem, or one which does not rise above the ground; as, the radical leaves of the dandelion and the sidesaddle flower. 4. (Philol.) Relating, or belonging, to the root, or ultimate source of derivation; as, a radical verbal form. 5. (Math.) Of or pertaining to a radix or root; as, a radical quantity; a radical sign. See below. Radical axis of two circles. (Geom.) See under Axis. Radical pitch, the pitch or tone with which the utterance of a syllable begins. --Rush. Radical quantity (Alg.), a quantity to which the radical sign is prefixed; specifically, a quantity which is not a perfect power of the degree indicated by the radical sign; a surd. Radical sign (Math.), the sign [root] (originally the letter r, the initial of radix, root), placed before any quantity, denoting that its root is to be extracted; thus, [root]a, or [root](a + b). To indicate any other than the square root, a corresponding figure is placed over the sign; thus [cuberoot]a, indicates the third or cube root of a. Radical stress (Elocution), force of utterance falling on the initial part of a syllable or sound. Radical vessels (Anat.), minute vessels which originate in the substance of the tissues. Syn: Primitive; original; natural; underived; fundamental; entire. Usage: Radical, Entire. These words are frequently employed as interchangeable in describing some marked alternation in the condition of things. There is, however, an obvious difference between them. A radical cure, reform, etc., is one which goes to the root of the thing in question; and it is entire, in the sense that, by affecting the root, it affects in a appropriate degree the entire body nourished by the root; but it may not be entire in the sense of making a change complete in its nature, as well as in its extent. Hence, we speak of a radical change; a radical improvement; radical differences of opinion; while an entire change, an entire improvement, an entire difference of opinion, might indicate more than was actually intended. A certain change may be both radical and entire, in every sense.

- In mathematics, the radical symbol, radical sign, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square...

- are no fractions inside the radical sign; and there are no radicals in the denominator. For example, to write the radical expression 32 / 5 {\displaystyle...

- 1637 Descartes was the first to unite the German radical sign √ with the vinculum to create the radical symbol in common use today. The symbol used to indicate...

- where the symbol " {\displaystyle {\sqrt {~^{~}}}} " is called the radical sign or radix. For example, to express the fact that the prin****l square...

- a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression...

- Radical Optimism is the third studio album by English and Albanian singer Dua Lipa, released on 3 May 2024 by Warner Records. It is her first full-length...

- real one) is referred to as the prin****l cube root, denoted with the radical sign 3 . {\displaystyle {\sqrt[{3}]{~^{~}}}.} The cube root is the inverse...

- modern notation by parentheses, though it persists for symbols under a radical sign. The original use in Ancient Gr**** was to indicate compositions of Gr****...

- Radical 113 or radical spirit (示部) meaning ancestor or veneration is number 113 out of the 214 Kangxi radicals. It is one of the 23 radicals composed of...

- The plus–minus sign resembles the Chinese characters 土 (Radical 32) and 士 (Radical 33), whereas the minus–plus sign resembles 干 (Radical 51). ≈ (approximately...

- are no fractions inside the radical sign; and there are no radicals in the denominator. For example, to write the radical expression 32 / 5 {\displaystyle...

- 1637 Descartes was the first to unite the German radical sign √ with the vinculum to create the radical symbol in common use today. The symbol used to indicate...

- where the symbol " {\displaystyle {\sqrt {~^{~}}}} " is called the radical sign or radix. For example, to express the fact that the prin****l square...

- a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression...

- Radical Optimism is the third studio album by English and Albanian singer Dua Lipa, released on 3 May 2024 by Warner Records. It is her first full-length...

- real one) is referred to as the prin****l cube root, denoted with the radical sign 3 . {\displaystyle {\sqrt[{3}]{~^{~}}}.} The cube root is the inverse...

- modern notation by parentheses, though it persists for symbols under a radical sign. The original use in Ancient Gr**** was to indicate compositions of Gr****...

- Radical 113 or radical spirit (示部) meaning ancestor or veneration is number 113 out of the 214 Kangxi radicals. It is one of the 23 radicals composed of...

- The plus–minus sign resembles the Chinese characters 土 (Radical 32) and 士 (Radical 33), whereas the minus–plus sign resembles 干 (Radical 51). ≈ (approximately...

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