T开头的英文谚语

T开头的英文谚语（精选7篇）

T开头的英文谚语 第1篇

T开头的英语谚语大全

1. Take a hair of the dog that bit you.以毒攻毒。

2. Take a pain for a pleasure all wise men can.智者皆能视苦为乐。

3. Take away my good name and take away my life.夺了我的名誉等于夺了我的生命。

4. Take care of small sums and the large will take care of themselves.省小钱才能积大财。

5. Take care of the pence and the pounds will take care of themselves.积少成多。

6. Take care of the sense, and the sounds will take care of themselves.注意你的理智，声调自会小心。

7. Take honour from me and my life is undone.夺我名声，我命即亡。

8. Take one thing with another.由此及彼。

9. Take ones courage in both hands.勇往直前，敢作敢为。

10. Take something by the best handle.理解某事物，乘其好机会。

11. Take the rough with the smooth.既能享乐也能吃苦。

12. Take the world as it is.随遇而安。

13. Take the world as one finds it.听之任之。

14. Take things as they come (or are).既来之，则安之。

15. Take time by the forelock.要抓住时机。

16. Take time for deliberation; hste spoils everything.要费时思考，急躁会坏事。

17. Take time to deliberate; but when the time for action arrives, stop thinking and go in.做事要深思熟虑，但时机一到，就要动手，不要犹豫。

18. Take time when time comes lest time steal away.机不可失，时不再来。

19. Take time while time is, for time will be away.有时间要加以利用，因为时间是要消逝的。

20. Talk of an angel and youll hear his wings.说到曹操，曹操就到。

21. Talk of the devil, and he is sure to appear.说鬼鬼到。

22. Tall trees catch much wind.树大招风。

23. Tastes differ.众口难调。

24. Teaching others teaches yourself.教学相长。

25. Tears are the silent language of grief.眼泪是悲哀的无声言辞。

26. Tell me thy company and I will tell thee what thou art.把你的交友讲给我听，我会讲出你是何许人。

27. Tell not all you know nor judge of all you see if you would live in peace.知道的不要全部倾吐，看到的不要都加评语，这样生活可以安宁。

28. Telling your troubles is swelling your troubles.诉说烦恼等于增加烦恼。

29. Temperance is the best physic.克制乃是最好的治疗。

30. Temperance is the greatest of virtues.自我节制是最大的美德。

31. That is a good book which is opened with expectation and closed with profit.好书开卷引人入胜，闭卷使人得益。

32. That is not good language which all understand not.不是人人都懂的语言不是好语言。

33. That teacher helps his pupils most who most helps them to help themselves.教师尽力帮助学生独立工作是给学生最大的帮助。

34. That which is evil is soon learnt.恶行易学。

35. That which is striking and beautiful is not always good, but that which is good is always beautiful.美丽而引人注目的东西不一定都善良，但善良的东西总是美丽的。

36. That which one least anticipates soonest comes to pass.事非逆料偏易发生。

37. That which was bitter to endure may be sweet to remember.苦楚往日难忍受，记起也许甜心头。

38. Thats good wisdom which is wisdom in the end.最后的聪明才算真聪明。

39. The (or A) beggar may sing before the thief (or footbad).既是穷光蛋，何虑窃贼偷。

40. The abundance of money ruins youth.钱多毁青年。

41. The ass wags his ears.自鸣得意。

42. The battle is to the strong.强者必胜。

43. The beginnings of all things are small.万事开头小。

44. The belly has no ears.食欲不长耳。

45. The best fish smell when they are three days old.鱼过三天后，再鲜也变臭。

46. The best fish swim near the bottom.好鱼游水底。

47. The best hearts are always the bravest.最善良的人往往是最勇敢的人。

48. The best horse needs breaking, and the aptest child needs teaching.玉不琢不成器。

49. The best is oftentimes the enemy of the good.要求过高反难成功。

50. The best is yet to be.好戏在后头。

T开头的英文谚语 第2篇

think v.想;想像

today n.今天;现在touch n.触;触觉nv.触摸;触摸 trust n.信任;信心nv.想;信任 try n.尝试nv.试;试图

有没有由字母cn开头的英文字? 第3篇

由正弦(sin)函数刻画的波叫sinusoid wave,而由椭圆余弦(cn)函数刻画的波叫作cnoidal wave是很自然的事.变量x的cn函数和参数k(叫做模,其绝对值不大于1)有关,其定义为

而Φ和x的关系由椭圆积分

确定.容易验算,当模k=0,cn函数就是cos函数,而当k=1,cn函数就是sech (双曲正割)函数,即cn(x,0)=cosx和cn(x,1)=sechx.

浅水波的波形可以用一个和cn2(x,k)成比例的项加上一个常数来表示.函数cn2(x,k)的图形大致如图1,这里x是无量纲的,对应于真实浅水波的水平距离(沿波速方向).函数值0和1分别对应于波谷和波峰的高度,函数的周期2K(k)对应于波长,K(k)是完全椭圆积分,即式(1)中Φ=π/2时的x值.模k的值以及x怎样无量纲化即它和真实距离之比都由水波的各个物理参量(液体深度,重力加速度等)确定.这里从略,可参见《力学词典》(大百科版,1990年)的条目,更详细的要查有关波动的专著,如Whitham的Linear and Nonlinear Waves (Wiley,1974)或Lighthill的Waves in Fluids (Cambridge,2003).

现在根据cn2(x,k)函数的数学性质略为分析一下波形.当模k=0,函数成为cos2x,周期(波长的对应植)2K(0)=π,拐点的高度是1/2,波上下是对称的,这是正弦波的特点.当模k>0,周期2K(k)>π,拐点高度大于1/2,说明椭圆余弦波的波谷比波峰更平坦.在极限情况k=1,cn2(x,1)=sech2x,K(1)=无限,函数成为无周期的.拐点高度为2/3.这对应于真实空间的孤立波(solitary wave)的波形.

概括起来,椭圆余弦波是介于正弦波和孤立波之间的一种浅水波,其波形可由cn2函数描写,所以叫cnoidal波.

英文字里,只有几个由字母cn开头的字,见于解剖学等专业术语.于是,不知什么原因,出现了这样一个词:conoidal wave,多了一个字母o.在国内,有上引的《力学词典》以及《水利科技名词》(科学出版社,1997).国外的书刊上也有这样的拼法.是否两者可以通融呢?不知道.但至少同一篇文章里,应当只用一种拼法吧.我用cnoidal wave conoidal wave连在一起当作关键词用google搜索,居然找到几篇论文,其中两种拼法同时出现.

能否确定用conoidal而废弃cnoidal呢?读起来不那么拗口了.我也不知道cnoidal应该怎样念,其他cn开头的英文字中,字母c不发音,但我记忆cnoidal时暗读为kn....不幸的是,已经有一个数学名词叫conoid,中文是劈锥(曲)面,图2是正劈锥面(right conoid)的下半部分,可以想象为什么建筑师会采用conoid作为一种屋顶形式.这种曲面由直线移动组成,而木椽是直的.不过,它和浅水波的形状,难于找到有什么联系.劈锥面的数学定义为,一直线移动形成的曲面,要求它移动时和一固定直线以及一固定曲线相交,且平行于一固定平面,可见《数学辞海》,第一卷(山西教育版,2002年).

一字开头的谚语精选 第4篇

2.一个朋友一条路，一个冤家一堵墙。

3.一言既出，驷马难追。

4.一叶遮目，不见泰山。

5.一夜不宿，十夜不足。

6.一回经蛇咬，三年怕草绳。

7.一家不知一家，和尚不知道家。

8.一天省下一两粮，十年要用仓来装。

9.一天省一把，十年买匹马。

10.一天一根线，十年积成缎。

11.一个巧皮匠,没有好鞋样;两个笨皮匠,彼此有商量;

12.三个臭皮匠，胜过诸葛亮。

13.一壶难装两样酒，一树难开两样花。

14.一顿省一口，一年省一斗。

15.一有百有，一穷百穷。

16.一羽示风向。一草示水流。

17.一针不补，十针难缝。

18.一争两丑，一让两有。

19.一家养女百家求，一马不行百马忧。

20.一问三不知，神仙没法治。

21.一饱为足，十饱伤人。

22.一笔画不成龙，一锹挖不出井。

23.一寸光阴一寸金，寸金难买寸光阴。

24.一顿吃伤，十顿吃汤。

25.一日不读口生，一日不写手生。

26.一日练，一日功，一日不练十日空。

27.一日三笑，不用吃药。

28.一马不配两鞍，一脚难踏两船。

29.一年之计在于春，一生之计在于勤。

t开头的单词阶段 第5篇

你还是抓紧处理这个问题为好。

It is instructive to see how other countries are tackling the problem.

了解别的.国家如何处理这个问题是具有启发性的。

The government is determined to tackle inflation.

政府决心解决通货膨胀问题。

Successive governments have tried to tackle the problem.

历届政府都试图解决这个问题。

She sketched out her plan for tackling the problem.

C开头的英语谚语 第6篇

Call a spade a spade. 据实而言。

Call me not olive till thou see me gathered. 盖棺论定。

Call no man happy until he dies. 盖棺才能定论。

Can the leopard change his spots? 江山易改，本性难移。

Care and diligence bring luck. 谨慎和勤奋，带来好运气。

Care brings grey hair. 忧虑催人老。

Care killed the cat. 忧虑伤身。

Cast not out the foul water till you bring in the clean. 清水未来，莫泼赃水。

Cast not your pearls before swine. 明珠莫投暗。

Catch the bear before you sell his skin. 大事未成时，莫开庆功宴。

Cats hide their paws. 大智若愚，大巧若拙。

Caution is the parent of safety. 谨慎小心是安全之源。

Chains of gold are stronger than chains of iron. 金链锁人比铁炼更牢靠。

Change lays not her hand upon truth. 真理不变。

Charity begins at home, but should not end there. 仁爱须由近及远。

Cheat's never proper. 欺骗决非正当事。

Cheek brings success. 和气生财。

Cheerful company shortens the miles. 旅有好旅伴，不觉行程远。

Cheerfulness and goodwill make labour light. 欢快与好意，劳动不觉累。

Childhood shows the man, as morning shows the day. 看人看年少，看天看破晓。

Children and fools cannot lie. 孩子和傻子，不会说谎话。

Children and fools speak the truth. 孩子和傻子，说的是真话。

Children are the parents's riches. 子女是父母之财富。

Choice of the end covers choice of the means. 选择目的包含著选择手段。

Choose an author as you choose a friend. 选书如择友。

Choose a wife rather by your ear than your eye. 选妻，最好用耳莫用眼。

Christmas comes but once a year. 佳节良辰，机会难得。

Circumstances are therulers of the weak, instrument of the wise. 弱者困于环境，智者利用环境。

Civility costs nothing. 礼貌不须什么代价。

Cleanliness is next to godliness. 清净近乎神圣。

Clothes make the man. 人要衣装，佛要金装。

Come what may, heaven won't fall. 船到桥头自会直。

Comfort is better than pride. 安慰胜过傲慢。

Coming events cast their shadows before them. 山雨欲来风满楼。

Compare your grievs with other men's and they will seem less. 你的悲痛与人比，悲痛就会轻一些。

Comparisons are odious. 人比人，气死人。

Confession is the first step to repentance. 悔罪先须认罪。

Confidence of success is almost success. 对成功抱有信心，就近乎成功。

Conquer of fear of death and you are put into possession of your life. 不怕死，然后才能生。

Constant dropping wears away a stone. 滴水穿石。

Content is better than riches. 知足常乐。

Content is happiness. 知足常乐。

Conversation makes one what he is. 言如其人。

Councils of war never fight. 主战者不打仗。

Counsel after action is like rain after harvest. 放马后炮。

Counsel must be followed, not praised. 忠告必须照办，而不是赞美。

Count not your chickens before they are hatched. 不要过早乐观。

Courage and resolution are the spirit and soul of virtue. 勇敢和决心是美德的`灵魂。

Courtesy costs nothing. 谦虚恭敬，不用分文。

Cowards are cruel. 懦夫不仁。

Credit, like a looking-glass, broken once, is gone, alas! 信誉像镜子，破碎无法补。

Creditors have better memories than debtors. 放债人的记性比借债人好。

Crows do not pick crow's eyes. 同室不操戈。

Cry up wine and sell vinegar. 挂羊头，卖狗肉。

Cry with one eye and laugh with the other. 口不应心。

Curiosity killed the cat. 好奇心，惹祸根。

Custom is a second nature.习惯是第二天性。

Custom is the guide of the ignorant.习俗是无知者的向导。

Custom makes all things easy. 若照习惯办，万事皆不难。

Custom rules the law.习俗影响法律。

Custom without reason is but ancient error.习俗没有道理，古代谬误而已。

Cut short the nonsense and return to one's muttons. 闲话少说，言归正传。

T开头的英文谚语 第7篇

Considerthefollowingdiscreteglobalminimization problem:

Duringthepastthreeorfourdecades,manytheoriesandalgorithmsindiscreteglobaloptimizationhave been developed(see Refs.[1—4]).Among these methods,awell-knownandpracticalmethodfordiscrete globaloptimization in discrete filled function methodintroducedbyref.[5]andfartherdeveloped byRefs.[6—9]toovercomethefirstdifficulty.

Inthispaper,we propose a new T-F function methodforsolvingdiscreteminimizationproblems.The proposedT-Ffunctionisbothfilledfunctionandtunnel function,and containsone parameterwhich can be easilyadjusted in therealization oftheT-F function method.Themethoditeratesfrom onelocalminimum toabetterone.Ineachiteration,weconstructaT-Ffunctionthatattainsstrictlocalmaximum atthecurrent solution.AlocalminimizeroftheT-Ffunctionleadsto anewsolutionofreducedobjectivefunctionvalue.Iterationfollowsinthismannertoreachaglobalminimizer.

1 Preliminaries

InordertointroducetheconceptofT-Ffunction,letusfrstrecallsomedefnitionsrelatedwithdiscrete globaloptimization and then defneadiscretetunnel functionandT-Ffunction.

Definition 1.1 Thesetofallfeasibledirectionsat x∈XisdefinedbyDx={d∈D∶x+d∈X},whereD={±ei∶i=1,2,…,n},eiistheithunit vector(thendimensionalvectorwiththeithcomponentequalstooneandallothercomponentsequalto zero).

Definition 1.2 Foranyx∈Zn,thediscreteneighborhoodofxisdefinedbyN(x)={x,x±ei,i=1,2,…,n}.

Definition 1.3 A pointx*∈X iscalledadiscrete localminimizeroff(x)overXiff(x*)≤f(x),for allx∈X∩N(x*).Furthermore,iff(x*)≤f(x),forallx∈X,thenx*iscalledastrictdiscretelocalminimizeroff(x)overX.If,inaddition,f(x*)<f(x),forallx∈X∩N(x*){x*},thenx*is calleda strictdiscrete local(global)minimizerof f(x)overX.

Algorithm 1(Discretelocalminimizationmethod)

(1)Startfrom aninitialpointx∈X.

(2)IfxisalocalminimizeroffoverX,thenstop;Otherwise,let

d*∶=argmin di∈Dx{f(x+di)∶f(x+di)<f(x)}.

(3)letx∶=x+d*,gotoStep 2.

Definition 1.4 P(x;x*)iscalledadiscretefilled functionoff(x)atadiscretelocalminimizerx*if P(x;x*)hasthefollowingproperties:

(1)x*isastrictdiscretelocalmaximizerofP(x;x*)overX.

(2)P(x;x*)hasnodiscretelocalminimizersin

S1={x f(x)≥f(x*),x∈X{x*}}.

(3)Ifx*isnotadiscreteglobalminimizeroff(x),then P(x,x*)doeshave a discrete minimizerin theregion

S2={x f(x)<f(x*),x∈X}.

Definition 1.5 P(x,x*)iscalledadiscretetunnel functionoff(x)atadiscretelocalminimizerx*if,for anyx0∈X withr>0,P(x,x*)=0ifandonlyif f(x0)-f(x*)+r≤0.

Definition 1.6 P(x,x*)iscalledaT-Ffunctionof f(x)atadiscretelocalminimizerx*ifitisbothadiscretetunnelfunctionandadiscretefilledfunction.

2 A new discreteT-Ffunction

Letx*bethecurrentlobalminimizerofproblem(P),andsupposethatthefollowingconditionsaresatisfied:

Assumption 2.1 f(x)※+∞foranyx∈Zn X,thenwehavemin x∈Xf(x)=min x∈Rnf(x).

Assumption 2.2 f(x)satisfiesforeveryx,y∈X:

f(x)-f(y)≤L‖x-y‖,where 0<L<+∞isaconstant.

nwthatfollows,wewillintroduceafunction which atisfiestheconditionsofDefinition 1.6.

(1)Foranyr>0,lethr(t)beafunctionthathasthe followingform:

Anexampleofhr(t)islistedasfollows:

(2)Define

T(x,x*,r)=η(‖x-x*‖)hr(f(x)-f(x*)+r)(3)

Where 0<r<minf(x1)≠f(x2),x1,x2∈X f(x1)-f(x2),(t)isastrictmonotonousdecreasingfunction with(t)>0foranyt∈[0,+∞).Someofexamplesof(t)are11+tandexp(-t).

ItiseasytoseethatT(x,x*,r)istunnelfunction.

Inthefollowing,wewillprovethatitisalsoafilled function,sothisfunctionisaT-Ffunction.

Theorem 2.1 Foranyr>0,x*isastrictlocalmaximizerofT(x,x*,r).

Proof.Sincex*isalocalminimizerof(P),thereis aneighborhoodN(x*)ofx*suchthatf(x*+d)≥f(x*)foranyd∈D withx*+d∈N(x*)∩X.

T(x*+d,x*,r)=η(1)<η(0)=T(x*,x*,r).

Which implies thatx*is a strictlocalmaximizer ofT(x,x*,r).

Thatcompletestheproof.

Lemma 2.1 Foreveryx′∈X,thereexistsd∈Dsuchthat‖x′+d-x*‖>‖x′-x*‖.

Proof:Ifthereisani∈{1,2,…,n}suchthat[x′]i≥[x*]i,where[x]iistheithcomponetofanyvector x∈X,thend=ei.Ontheotherhand,ifthereisan i∈{1,2,…,n}suchthat[x′]i≤[x*]i,thend=-ei.

Theorem 2.2 Foranyx∈S1,xisnotadiscretelocalminimizerofT(x,x*,r).

Proof:Foranyx∈S1,byLemma 2.1,thereexistsa directiond∈D suchthat‖x+d-x*‖>‖xx*‖.Sowehave

onsiderthefollowingtwocases:

Case 1:f(x+d)<f(x*).

Inthiscase,wehavef(x+d)-f(x*)+r+1<1,andhr(f(x+d)-f(x*)+r+1)=0whichimplies thatT(x+d,x*,r)=0<η(‖x-x*‖)=T(x,x*,r).

Case 2:f(x*)≤f(x+d).

Inthiscase,

T(x+d,x*,r)=η(‖x+d-x*‖)<η(‖xx*‖)=T(x,x*,r).

Insummary,xisnotadiscretelocalminimizerofT(x,x*,r).

Theorem 2.3 Ifx*isnotadiscreteglobalminimizer off(x)inX,thenthereexistsadiscreteminimizerx′ofT(x,x*,r)intheregionS2={x f(x)<f(x*),x∈X}.

Proof.Letx′beaglobalminimizerof(P),bythe condition,wehavef(x′)-f(x*)+r<0,T(x′,x*,r)=0.

Ontheotherhand,bythedefinitionofhr(t),for nyx∈X,wehaveT(x,x*,r)≥0.ThereforeT(x,*,r)≥T(x′,x*,r).

Thisshowsthatx′isaminimizerofT(x,x*,r).

Theorems 2.1,2.2and 2.3showthatT(x;x*;r)isaT-Ffunctionifr>0issmallenough.Thefollowing theorem furthershowsthatthe proposed T-functionhassomepropertieswhichclassicfilledfuncionshave.

Theorem 2.4 Supposethatx1,x2∈X satisfythe followingconditions:(1):‖x1-x*‖>‖x2-x*‖>0,(2):min{f(x1),f(x2)}≥f(x*)orf(x1)≥f(x*)≥f(x2),thenT(x1,x*,r)<T(x2,x*,r).Theproofofthistheorem isveryeasyandweomitit.

3 Solutionalgorithm

Assumex*∈Xisalocalminimizeroff(x).Basedon propertiesoftheT-Ffunctionproposedintheprevious section,weproposethefollowingalgorithm tofinda globalminimizerofproblem P:

Algorithm 2(DiscreteT-Ffunctionmethod)

(1)Inputthelowerboundofr,namlyrL=10-8.Input anintialpointx(0)0∈X.LetD={±ei,i=1,2…n}.

(2)Startingfrom aninitialpointx(0)0∈X;minimize f(x)andobtainthefirstlocalminimizerx*0off(x).

(3)Setx(0)ik=x*k+di,di∈D,i=1;2…2nandi=1.

(4)Setx=x(0)ik.

5)Iff(x)<f(xk),thenusexasinitialpointfor iscretelocalminimization method tofindx*k+1such hatf(x*k+1)<f(x*k).Setk=k+1,gotostep(3).

(6)LetD0={d∈D∶x+d∈X}.Ifthereexistsd∈D0suchthatf(x+d)<f(x*k),thenusex+d*,whered*=argmin d∈D 0{f(x+d)},asaninitial pointforadiscretelocalminimizationmethodtofind x*k+1suchthatf(x*k+1)<f(x*k).setk∶=k+1andgoto(3).

(7)LetD1={d∈D0∶‖x+d-x*‖>‖x-x*‖}.IfD1=thengotostep(9).

(8)LetD2∶={d∈D1∶f(x+d)<f(x),T(x+d,x*k,r)<T(x,x*k,r).}IfD2≠,them set d*∶=argmin d∈D 2{f(x+d)+T(x+d,x*k,r);}

Otherwisesetd*∶=argmin d∈D 1{T(x+d,x*k,r)}.

Afterthat,setx=x+d*andgotostep(6).

(9)Ifi<2n,thenseti=i+1andgotostep(4).

(10)Setr=0.1r.Ifr≥rL,gotostep(3);Otherwise,the algorithm isincapalbe offinding a better minimizerstartingfrom theinitialpoints,{x(0)ik∶i=1,2,…,2n}.Thealgorithm stopsandx*kistakenasa globalminimizer.

4 Numericalexperiment

Thealgorithm inFortran 95issuccessfullyusedto find the globalminimizers ofsome testproblems.Throughoutthetests,weusethediscretelocalminimizationmethodasshowninAlgorithm 1toperform localsearches.Inthefollowingpart,severaltestproblemsaregivenandresultsofthealgorithm insolving theseproblemsarereported.

roblem 1(Powellssingularfunction)

Thisproblem hasoneglobalminimum solution:x*global=(0,0,0,0)withf(x*global)=0.Weusedfourinitialpointsinourexperiment:(1000,-1000,-1000,1000),(10000,-10000,-10000,10000),(-10000,…,-10000),(10000,…,10000).For everyexperiment,theproposedalgorithm succeededin identifyingthediscreteglobalminimum.Thesummary of the computational results is displayed in the Table 1.

Problem 2

s.t.-5≤xi≤5,xiistnteger,i=1,2,…,n

Thisproblem hasoneglobalminimum solution∶x*global=(1,…,1)withf(x*global)=0.

Forallproblemswithdifferentsizes,weusedfourinitialpointsinourexperiment:(5,…,5),(-5,…,-5),(-5,…,-5,5,…,5),(5,…,5,-5,…,-5).Foreveryexperiment,theproposed algorithm succeededinidentifyingthediscreteglobalminimum.Letx01=(5,…,5),forn=25,50,100,respectively,thesummaryofthecomputationalresultsaredisplayed intheTable 1.

Problem 3(Rosenbrocksfunction)

Forallproblemswithdifferentsizes,weusedfourinitialpointsinourexperiment:(5,…,5),(-5,…,-5),(-5,…,-5,5,…,5),(5,…,5,-5,…,-5).Foreveryexperiment,theproposed algorithm succeededinidentifyingthediscreteglobalminimum.Letx01=(5,…,5),forn=25,50,100,respectively,thesummaryofthecomputationalresultsisdisplayed intheTable 1.

Thesymbolsusedareshownasfollows:

PN:TheNthproblem.

DN:The dimension ofobjective function ofa problem.

IN:Thenumberofiterationcycles.

TI:TheCPU timeinsecondsforthealgorithm to stop.

FN:Thenumberofobjectivefunctionevaluations forthealgorithm tostop.

5 Conclusions

Inthispaper,wehaveproposedaclassofnew T-Ffunctionforsolvingdiscreteglobalminimizationproblems.Thecomputationalresultsshow thatthisalgorithm isquiteefficientandreliable.Soitmaybecome anewandpracticaldiscreteT-Ffunctionalgorithm for discreteglobaloptimization.

摘要：针对求解非线性离散规划全局最优解问题提出一类T-F函数算法。首先,介绍有关离散全局最优解的各种概念,并定义了T-F函数;其次,提出一类T-F函数,并设计了相应的T-F函数算法,通过寻找该T-F函数的离散局部极小解,以期找到离散规划问题的比当前离散局部极小解更好的解。数值实验表明算法是有效的。

关键词：离散全局最优化,T-F函数算法,离散全局极小点,离散局部极小点

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