{
  "type": "wiki",
  "pronunciations": {
    "phonetic": [
      "\u02c8\u00e6l\u02a4\u0259br\u0259"
    ],
    "listenurl": [
      {
        "lang": "Audio (US)",
        "url": "/var/www/html/blab/dic/audio/us/algebra.ogg"
      },
      {
        "lang": "Audio (US)",
        "url": "/var/www/html/blab/dic/audio/us/algebra.mp3"
      }
    ]
  },
  "meansorg": {
    "etymologies": [
      "From Medieval Latin algebr\u0101ica, from Arabic word \u0627\u0644\u0652\u062c\u064e\u0628\u0652\u0631 (al-jabr, \u201creunion, resetting of broken parts\u201d) in the title of al-Khwarizmi's influential work \u0627\u0644\u0652\u0643\u0650\u062a\u064e\u0627\u0628 \u0627\u0644\u0652\u0645\u064f\u062e\u0652\u062a\u064e\u0635\u064e\u0631 \u0641\u0650\u064a \u062d\u0650\u0633\u064e\u0627\u0628 \u0627\u0644\u0652\u062c\u064e\u0628\u0652\u0631 \u0648\u064e\u0627\u0644\u0652\u0645\u064f\u0642\u064e\u0627\u0628\u064e\u0644\u064e\u0629 (al-kit\u0101b al-mu\u1e35ta\u1e63ar f\u012b \u1e25is\u0101b al-jabr wa-l-muq\u0101bala, \u201cThe Compendious Book on Calculation by Completion and Balancing\u201d)."
    ],
    "typelist": [
      {
        "name": "Noun",
        "meanlist": [
          {
            "mean": "(uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.\n1551, James A.H. Murray, editor, A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society.\u200e, volume 1, Oxford: Clarendon Press, published 1888, Part 1, page 217:Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.\n1854,  George Boole,  \u201cSigns and their Laws\u201d, in  An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities\u200e, London: Walton and Maberly, page 37:Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and of these values alone."
          },
          {
            "mean": "(uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.\na1420,  The British Museum Additional MS, 12,056,  \u201cWounds complicated by the Dislocation of a Bone\u201d, in Robert von Fleischhacker, editor, Lanfranc's \"Science of cirurgie.\"\u200e, London: K. Paul, Trench, Tr\u00fcbner & Co, translation of original by Lanfranc of Milan, published 1894, \u2192ISBN, page 63:Ne take noon hede to brynge togidere \u00fee parties of \u00fee boon \u00feat is to-broken or dislocate, til viij. daies ben goon in \u00fee wyntir, & v. in \u00fee somer; for \u00feanne it schal make quytture, and be sikir from swellynge; & \u00feanne brynge togidere \u00fee brynkis ei\u00feer \u00fee disiuncture after \u00fee techynge \u00feat schal be seid in \u00fee chapitle of algebra.\n1987,  John Newsome Crossley,  \u201cLatency\u201d, in  The emergence of number\u200e, Singapore: World Scientific, \u2192ISBN, Al-Khwarizwi, page 65:Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too."
          },
          {
            "mean": "(uncountable, mathematics) The study of algebraic structures."
          },
          {
            "mean": "(countable, mathematics) A universal algebra."
          },
          {
            "mean": "(countable, algebra) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.\nSynonyms: algebra over a field, algebra over a ring\n2018 March 23,  Wikipedia contributors,  \u201cLie algebra\u201d, in  English Wikipedia\u200e, Wikimedia Foundation, revision 831953572:In mathematics, a Lie algebra (pronounced /li\u02d0/ \"Lee\") is a vector space \n\n\n\n\n\ng\n\n\n\n\n{\\displaystyle {\\mathfrak {g}}}\n\n together with a non-associative, alternating bilinear map \n\n\n\n\n\ng\n\n\n\u00d7\n\n\ng\n\n\n\u2192\n\n\ng\n\n\n;\n(\nx\n,\ny\n)\n\u21a6\n[\nx\n,\ny\n]\n\n\n{\\displaystyle {\\mathfrak {g}}\\times {\\mathfrak {g}}\\rightarrow {\\mathfrak {g}};(x,y)\\mapsto }\n\n, called the Lie bracket, satisfying the Jacobi identity."
          },
          {
            "mean": "(countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).\nSynonyms: field of sets, algebra of sets\nHypernym: ring\nHyponym: \u03c3-algebra"
          },
          {
            "mean": "(countable, mathematics) One of several other types of mathematical structure."
          },
          {
            "mean": "(figuratively) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.\n1663,  William Clark, William Hugh Logan, editor, Marciano; or, The discovery: A tragi-comedy\u200e, Edinburgh: Reprinted for Private Circulation, published 1871, \u2192ISBN, page 13:Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage\u2014what?"
          }
        ]
      },
      {
        "name": "Anagrams",
        "meanlist": [
          {
            "mean": "Labarge"
          }
        ]
      }
    ]
  },
  "meanskor": {
    "etymologies": [
      ""
    ],
    "typelist": [
      {
        "name": "Noun",
        "meanlist": [
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          },
          {
            "mean": ""
          }
        ]
      },
      {
        "name": "Anagrams",
        "meanlist": [
          {
            "mean": ""
          }
        ]
      }
    ]
  }
}