| 释义 |
residue
res·i·due R0175800 (rĕz′ĭ-do͞o′, -dyo͞o′)n.1. The remainder of something after removal of parts or a part.2. a. Matter remaining after completion of an abstractive chemical or physical process, such as evaporation, combustion, distillation, or filtration; residuum.b. The part of a monomer or other chemical unit that has been incorporated into a polymer or large molecule.3. Law The remainder of a testator's estate after all specific bequests and applicable debts and expenses have been disposed of. Also called residuum.
[Middle English, from Old French residu, from Latin residuum, neuter of residuus, remaining, from residēre, to remain behind; see reside.]
re·sid′u·ar·y (rĭ-zĭj′o͞o-ĕr′ē) adj.residue (ˈrɛzɪˌdjuː) n1. matter remaining after something has been removed2. (Law) law what is left of an estate after the discharge of debts and distribution of specific gifts[C14: from Old French residu, from Latin residuus remaining over, from residēre to stay behind, reside]res•i•due (ˈrɛz ɪˌdu, -ˌdyu)
n. 1. something that remains after a part is removed, disposed of, or used; remainder; rest; remnant. 2. a. residuum (def. 2). b. an atom or group of atoms considered as a group or part of a molecule. 3. the part of a testator's estate that remains after the payment of all debts, bequests, etc. [1300–50; Middle English < Middle French residu < Latin residuum what is left over; see residual] residueThe solid remaining after the completion of a chemical process.Thesaurus| Noun | 1. |  residue - matter that remains after something has been removedmatter - that which has mass and occupies space; "physicists study both the nature of matter and the forces which govern it"crackling, greaves - the residue that remains after animal fat has been renderedash - the residue that remains when something is burnedcotton cake, cottonseed cake - the solid matter remaining after oil has been pressed from cottonseedsdottle - the residue of partially burnt tobacco left caked in the bowl of a pipe after smoking | | 2. | residue - something left after other parts have been taken away; "there was no remainder"; "he threw away the rest"; "he took what he wanted and I got the balance"remainder, residual, residuum, rest, balancecomponent part, part, portion, component, constituent - something determined in relation to something that includes it; "he wanted to feel a part of something bigger than himself"; "I read a portion of the manuscript"; "the smaller component is hard to reach"; "the animal constituent of plankton"leftover, remnant - a small part or portion that remains after the main part no longer exists |
residuenoun remainder, remains, remnant, leftovers, rest, extra, balance, excess, surplus, dregs, residuum She loaded the residue of lunch onto a tray.residuenounWhat remains after a part has been used or subtracted:balance, leavings, leftover, remainder, remains, remnant, rest.Translationsresidue (ˈrezidjuː) noun what remains or is left over. 殘餘 残余residual (rəˈzidjuəl) , ((American) -dʒu-) adjective 殘留的 残留的
residue
residue Law what is left of an estate after the discharge of debts and distribution of specific gifts Residue (1) In the theory of numbers, number a is the residue of number b modulo m if the difference a — b is divisible by m (a, b, and m > 0 are integers). For example, the number 24 is the residue of the number 3 modulo 7, since 24 - 3 is divisible by 7. The set of m integers, each of which is the residue of one and only one of the numbers 0, 1, . . . , m—1, is said to be a complete residue system modulo m. For example, the numbers 1, 6, 11, 16, 21, 26 form the complete residue system modulo 6. The number a is called a residue of order n (n≥ 2—an integer) modulo m if there exists an integer x such that the difference xn - a is divisible by m. If this is not the case, then a is called a nonresidue of order n. For example, 2 and 3 are a residue and a nonresidue of the second order (quadratics) modulo 7. REFERENCEVinogradov, I. M. Osnovy teorii chisel, 7th ed. Moscow, 1965.A. A. KARATSUBA (2) In the theory of analytic functions, the residue of a single-valued analytic function f(z) at an isolated singular point Z0 is the coefficient of (z - Z0)—1 in the expansion of f(z) in a series of powers of z - Z0 (Laurent series) valid in a neighborhood of Z0. The notation used is  f(z). If Y is a circle with center at Z0 and sufficiently small radius (a circle so small that within it the function f(z) has no singular points other than Z0), then 
The importance of residues stems from the following theorem. Let f(Z) be a single-valued function analytic in a domain D, with the exception of isolated singular points, and let G be a simple closed rectifiable curve belonging to domain D together with its interior and not passing through the singular points of f(z); if Z1, . . . , zn are all the singular points of f(z) lying within G, then 
Since it is relatively simple to calculate residues, this theorem is an effective means for evaluating integrals. A. A. GONCHAR residue[′rez·ə‚dü] (chemical engineering) The substance left after distilling off all but the heaviest components from crude oil in petroleum refinery operations. Also known as bottoms; residuum. Solids deposited onto the filter medium during filtration. Also known as cake; discharged solids. (geology) The in-place accumulation of rock debris which remains after weathering has removed all but the least soluble constituent. (mathematics) The residue of a complex function ƒ(z) at an isolated singularity z0 is given by (1/2π i) ∫ ƒ(z) dz along a simple closed curve interior to an annulus about z0; equivalently, the coefficient of the term (z-z0)-1 in the Laurent series expansion of ƒ(z) about z0. In general, a coset of an ideal in a ring. A residue of m of order n, where m and n are integers, is a remainder that results from raising some integer to the n th power and dividing by m. residue
residue [rez´ĭ-doo] a remainder; that which remains after the removal of other substances; in organic chemistry a portion of a molecule that is incorporated into another molecule, e.g., an amino acid residue of a polypeptide.res·i·due (rez'i-dū), That which remains after removal of one or more substances. Synonym(s): residuum [L. residuum] res·i·due (rez'i-dū) That which remains after removal of one or more substances.
Synonym(s): residuum. [L. residuum]residue - a MONOMER that is joined to others in a POLYMER, for example an AMINO ACID in a POLYPEPTIDE CHAIN, a NUCLEOTIDE in a POLYNUCLEOTIDE CHAIN.
- the remainder, such as the substance left on the filter in the process of filtration; the amount of pesticide remaining on plant material or in soils at given times after application.
ResidueTraces that remain after most of the rest of the material is gone.Mentioned in: Antisepticsres·i·due (rez'i-dū) That which remains after removal of one or more substances. [L. residuum]residue
residuen. in a will, the assets of the estate of a person who has died with a will (died testate) which are left after all specific gifts have been made. Typical language: "I leave the rest, residue and remainder [or just residue] of my estate to my grandchildren." If the residue is not given to any beneficiary it will be distributed pursuant to the laws of descent and distribution. (See: will, residuary bequest, descent and distribution) residue in the law of succession, the part of an estate left over after legacies and bequests have been met.RESIDUE. That which remains of something after taking away a part of it; as, the residue of an estate, which is what has not been particularly devised by will.
2. A will bequeathing the general residue of personal property, passes to the residuary legatee everything not otherwise effectually disposed of and it makes no difference whether a legacy falls into the estate by lapse, or as void at law, the next of kin is equally excluded. 15 Ves. 416; 2 Mer. 392. Vide 7 Ves. 391; 4 Bro. C. C. 55; 1 Bro. C. C. 589; Rop. on Leg. Index, h.t.; Worth. on Wills, 454. residue
Synonyms for residuenoun remainderSynonyms- remainder
- remains
- remnant
- leftovers
- rest
- extra
- balance
- excess
- surplus
- dregs
- residuum
Synonyms for residuenoun what remains after a part has been used or subtractedSynonyms- balance
- leavings
- leftover
- remainder
- remains
- remnant
- rest
Synonyms for residuenoun matter that remains after something has been removedRelated Words- matter
- crackling
- greaves
- ash
- cotton cake
- cottonseed cake
- dottle
noun something left after other parts have been taken awaySynonyms- remainder
- residual
- residuum
- rest
- balance
Related Words- component part
- part
- portion
- component
- constituent
- leftover
- remnant
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