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Calculus of operations

资料来源 : Webster's Revised Unabridged Dictionary (1913)

Operation \Op`er*a"tion\, n. [L. operatio: cf. F. op['e]ration.]
   1. The act or process of operating; agency; the exertion of
      power, physical, mechanical, or moral.

            The pain and sickness caused by manna are the
            effects of its operation on the stomach. --Locke.

            Speculative painting, without the assistance of
            manual operation, can never attain to perfection.
                                                  --Dryden.

   2. The method of working; mode of action.

   3. That which is operated or accomplished; an effect brought
      about in accordance with a definite plan; as, military or
      naval operations.

   4. Effect produced; influence. [Obs.]

            The bards . . . had great operation on the vulgar.
                                                  --Fuller.

   5. (Math.) Something to be done; some transformation to be
      made upon quantities, the transformation being indicated
      either by rules or symbols.

   6. (Surg.) Any methodical action of the hand, or of the hand
      with instruments, on the human body, to produce a curative
      or remedial effect, as in amputation, etc.

   {Calculus of operations}. See under {Calculus}.

Calculus \Cal"cu*lus\, n.; pl. {Calculi}. [L, calculus. See
   {Calculate}, and {Calcule}.]
   1. (Med.) Any solid concretion, formed in any part of the
      body, but most frequent in the organs that act as
      reservoirs, and in the passages connected with them; as,
      biliary calculi; urinary calculi, etc.

   2. (Math.) A method of computation; any process of reasoning
      by the use of symbols; any branch of mathematics that may
      involve calculation.

   {Barycentric calculus}, a method of treating geometry by
      defining a point as the center of gravity of certain other
      points to which co["e]fficients or weights are ascribed.
      

   {Calculus of functions}, that branch of mathematics which
      treats of the forms of functions that shall satisfy given
      conditions.

   {Calculus of operations}, that branch of mathematical logic
      that treats of all operations that satisfy given
      conditions.

   {Calculus of probabilities}, the science that treats of the
      computation of the probabilities of events, or the
      application of numbers to chance.

   {Calculus of variations}, a branch of mathematics in which
      the laws of dependence which bind the variable quantities
      together are themselves subject to change.

   {Differential calculus}, a method of investigating
      mathematical questions by using the ratio of certain
      indefinitely small quantities called differentials. The
      problems are primarily of this form: to find how the
      change in some variable quantity alters at each instant
      the value of a quantity dependent upon it.

   {Exponential calculus}, that part of algebra which treats of
      exponents.

   {Imaginary calculus}, a method of investigating the relations
      of real or imaginary quantities by the use of the
      imaginary symbols and quantities of algebra.

   {Integral calculus}, a method which in the reverse of the
      differential, the primary object of which is to learn from
      the known ratio of the indefinitely small changes of two
      or more magnitudes, the relation of the magnitudes
      themselves, or, in other words, from having the
      differential of an algebraic expression to find the
      expression itself.
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