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solution
has definitions from the fields of mathematics,chemistry
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[ noun ] (chemistry) a homogeneous mixture of two or more substances; frequently (but not necessarily) a liquid solution
Examples "he used a solution of peroxide and water" Used in print (Harry H. Hull, "The Normal Forces and Their Ther...)This has an interesting analogy with the assumption stated by Philippoff that `` the deformational mechanics of elastic solids can be applied to flowing solutions '' . (Jay C. Harris and John R. Van Wazer, "Detergent...)As_is well_known , detergent actives belong_to the chemical class consisting_of moderately high molecular_weight and highly polar molecules which exhibit the property of forming micelles in solution . (Francis J. Johnston and John E. Willard, "The...)To prepare the latter , silver_chloride was precipitated from a solution containing * * f obtained from the Oak_Ridge_National_Laboratory . This chlorine carbon_tetrachloride solution was illuminated for a day following which the flask was resealed onto a vacuum system and the excess chlorine distilled off . Following reaction the cells were scratched with a file and opened under a 20 % aqueous sodium_iodide solution . Related terms mixture conjugate_solution dilution infusion eluate chlorine_water isotonic_solution sap solid_solution brine collodion injection aqueous_solution fehling's_solution gram's_solution buffer_solution bleach_liquor formalin gargle liquid_bleach electrolyte spirits_of_ammonia toner n fluorescein congo_red solubility saltiness |
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[ noun ] a statement that solves a problem or explains how to solve the problem
Synonyms Examples "they were trying to find a peaceful solution" "the answers were in the back of the book" "he computed the result to four decimal places" Used in print (Edward Austin Walton, "On Education for the Interior...)One solution is the acquisition of degrees in education but it is a poor substitute . (Nathan Rapport, ""I've Been Here before!"...)However , readers who accept Freud 's findings and believe that he has solved completely the mystery of dreams , should ponder over the following words in his Interpretation_Of_Dreams , Chapter 1 , : `` as_a_matter_of_fact no such complete solution of the dream has ever been accomplished in_any_case , and what_is_more , every one attempting such solution has found that in most cases there have remained a great many components of the dream the source of which he has been unable to explain , nor is the discussion closed on the subject of the mantic or prophetic power of dreams '' . However , readers who accept Freud 's findings and believe that he has solved completely the mystery of dreams , should ponder over the following words in his Interpretation_Of_Dreams , Chapter 1 , : `` as_a_matter_of_fact no such complete solution of the dream has ever been accomplished in_any_case , and what_is_more , every one attempting such solution has found that in most cases there have remained a great many components of the dream the source of which he has been unable to explain , nor is the discussion closed on the subject of the mantic or prophetic power of dreams '' . (Handbook of Federal Aids to Communities. U.S. Dep...)Practical management problems and their suggested solutions are dealt with in a series of SBA publications . (Frederick Mosteller et al., Probability with...)We can escape_from such a difficulty by ruling_out the animal as not constituting a trial , but such a solution is not always satisfactory . Related terms |
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[ noun ] a method for solving a problem
Examples "the easy solution is to look it up in the handbook" Used in print (John R. Sargent, "Where To Aim Your Planning for Bigger...)Solutions frequently suggest themselves when you accurately pinpoint your problems , whether they be in the market , in marketing methods or in marketing management . (Harold Rosenberg, "The Trial and Eichmann"...)Heydrich , in opening the Conference , followed the reasoning and even the phraseology of the order issued earlier by Goering which authorized the Final_Solution as `` a complement to '' previous `` solutions '' for eliminating the Jews from German living_space through violence , economic_strangulation , forced emigration , and evacuation . (Kenneth Allsop, The Bootleggers and Their Era...)But in_the_meantime the beer runner , unhappy with this solution , telephoned Torrio and returned to O_'_Banion with the message : `` Say , Dionie , I just been talking to Johnny , and he said to let them cops have the three_hundred . (Kenneth Reiner, "Coping with Runaway Technology"...)We are tempted to blame others for our problems rather than look them straight in the face and realize they are of_our_own making and possible of solution only by ourselves with the help of desperately needed , enlightened , competent leaders . (87th Congress, 1st Session. Congressional Record....)And the solutions to the problems of the commuter lines have been equally varied , ranging all_the_way from Government ownership to complete discontinuance of this important service . Related terms |
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[ noun ] (mathematics) the set of values that give a true statement when substituted into an equation
Synonyms Used in print (Kenneth Hoffman and Ray Kunze, Linear Al...)If * * f denotes the space of n times continuously differentiable functions , then the space V of solutions of this differential_equation is a subspace of * * f . Thus , the study of the solutions to the equation * * f is reduced to the study of the space of solutions of a differential_equation of the form * * f . Thus , the study of the solutions to the equation * * f is reduced to the study of the space of solutions of a differential_equation of the form * * f . To describe the space of solutions to * * f , one must know something about differential_equations , that_is , one must know something about D other_than the fact that it is a linear_operator . Accordingly , the ' functions ' * * f span the space of solutions of * * f . Related terms |
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