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extraneous root

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  • Extraneous and missing solutions — In mathematics, an extraneous solution represents a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the original problem. A missing solution is a solution that was a valid …   Wikipedia

  • Mathematical fallacy — In mathematics, certain kinds of mistakes in proof, calculation, or derivation are often exhibited, and sometimes collected, as illustrations of the concept of mathematical fallacy. The specimens of the greatest interest can be seen as… …   Wikipedia

  • Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… …   Wikipedia

  • Creation — • Like other words of the same ending, the term creation signifies both an action and the object or effect thereof. Thus, in the latter sense, we speak of the kingdoms of creation , the whole creation , and so on Catholic Encyclopedia. Kevin… …   Catholic encyclopedia

  • ear, human — ▪ anatomy Introduction       organ of hearing and equilibrium that detects and analyzes noises by transduction (or the conversion of sound waves into electrochemical impulses) and maintains the sense of balance (equilibrium).  The human ear, like …   Universalium

  • EDUCATION, JEWISH — This entry is arranged according to the following outline. Bibliography at the end of a section is indicated by (†). in the biblical period the nature of the sources historical survey the patriarchal period and the settlement the kingdom the… …   Encyclopedia of Judaism

  • France — /frans, frahns/; Fr. /frddahonns/, n. 1. Anatole /ann nann tawl /, (Jacques Anatole Thibault), 1844 1924, French novelist and essayist: Nobel prize 1921. 2. a republic in W Europe. 58,470,421; 212,736 sq. mi. (550,985 sq. km). Cap.: Paris. 3.… …   Universalium

  • Tooth development — Radiograph of lower right (from left to right) third, second, and first molars in different stages of development. Tooth development or odontogenesis is the complex process by which teeth form from embryonic cells, grow, and erupt into the mouth …   Wikipedia

  • ISRAEL BEN ELIEZER BA'AL SHEM TOV — (known by the initials of Ba al Shem Tov as Besht; c. 1700–1760), charismatic founder and first leader of Ḥasidism in Eastern Europe. (See Chart: Ba al Shem Tov Family). Through oral traditions handed down by his pupils (jacob joseph of Polonnoye …   Encyclopedia of Judaism

  • Bring radical — In algebra, a Bring radical or ultraradical is a root of the polynomial :x^5+x+a, ,where a is a complex number. (The root is chosen so the radical of a real is real, and the radical is a differentiable function of a in the complex plane, with a… …   Wikipedia

  • Eye movement in music reading — skills. A central aspect of music reading is the sequence of alternating saccades and fixations, as it is for most oculomotor tasks. Saccades are the rapid ‘flicks’ that move the eyes from location to location over a music score. Saccades are… …   Wikipedia

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