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error correction例题错误纠正例题：句子错误：1. She do not likes to eat apples.正确改为：She does not like to eat apples.2. John goes to the school in every day.正确改为：John goes to school every day.3. My friend are studying in the university.正确改为：My friends are studying at the university.4. He didn't knew the answer to the question.正确改为：He didn't know the answer to the question.5. I have went to the supermarket yesterday.正确改为：I went to the supermarket yesterday.错误纠正参考内容：1. She do not likes to eat apples.要点：主语和动词的一致性解析：在英语中，第三人称单数主语（例如：he，she，it）后面的动词需要加上"-s"或"-es"。
因此，正确的句子应为She does not like to eat apples.2. John goes to the school in every day.要点：使用冠词和介词的正确性解析：在表示特定学校时，通常会使用定冠词"the"，而不是不定冠词"a"。
另外，在表示频率时，通常使用介词"in"后面加上时间段，例如：in the morning，in the afternoon。
因此，正确的句子应为John goes to school every day.3. My friend are studying in the university.要点：主语和动词的一致性解析：当主语是复数形式时，动词也需要用复数形式。
Examples for correction of Chinglish1. 桌儿上放着好些东西。
2. 路不远，咱们走着去吧。
3. 他老低着头走路。
4. 他正忙着准备考试。
5. 她想着想着笑了起来。
6. 那条路难走着呢。
7. 他这才知道锻炼身体的好处。
8. 把针脚缝的密一些。
9斟酌情况作适当调整。
10.随着机械化的发展，农业生产蒸蒸日上。
11. 对这个问题他有一整套看法。
12. 忠实于教育事业。
13. 必须注意团结一切可以团结的人。
14. 一下子来了这麽多人吃饭，炊事员怕抓挠不过来吧！15. 恣意践踏16. 恣意掠夺别国的资源17. 我先去厨房通知一声，免得临时手忙脚乱。
18. 他在我手下工作，就得听我的。
19. 报上刊登了一则广告。
20. 我们公司有四个公关专门负责搞促销。
21. 老师一问到这个问题，她就蒙了。
22. 黑夜中他迷途了。
23. 你的理由很勉强。
1. There are a lot of things lying on the table.2. It’s quite near, let’s go there on foot.3. He always walks with his head bent down.4. He is busy preparing for the examination just now.5. She thought and thought and then burst out laughing.6. The going is very hard that road.7. Only now does he see the good of taking exercise.8. Make your stitches closer together.9.Make appropriate adjustment according to the circumstance.10. With the development of mechanization, agriculture is flourishing.11. He has a lot of views of his own on this matter.12. Be devoted to the educational task.13. Care must be taken to unite with all those who we can unite with.14. With so many people here all of a sudden for a meal, I wonder how the cook can hustle them up something to eat.15. Willfully trample on16. Indulge in unbridled plunder of the resources of other countries.17. I’m going to the kitchen to warn them so that they’ll not have to rush about at the last moment.13. Care must be taken to unite with all those who we can unite with.17. I’m going to the kitchen to warn them so that they’ll not have to rush about at the last moment.18. He has to listen to me since he is working under me.19. A public notice was published in the newspaper.20. There are four persons who work in public relations in our company and they are in charge of sales promotion.21. She felt confused when the teacher asked the question.22. He lost his way in the dark night.23. The reason you give is rather unconvincing.Answers1. There are a lot of things on the table. (redundant verb “lying”, “On” is enough)There are lots of things on the table.The table is full of things.2. It’s quite near, let’s go on foot. (“There” is unnecessary, implied by “it’s”)3. He always walks with his head bent. (“down”redundant, “bent”usually means “down”otherwise it would be stated: “bent back”)He always walks with his head down.He always walks with bent head.4. He is busy preparing for the examination. (present continuous is enough, “just now”is confusing; is it the “exam” that is “just now”?)5. She thought for a while and burst out laughing. (repetition of “thought”, “then”implied by “and”)6. That road is very hard going. (idiomatic expression)7. Only now does he see the benefit of exercise. (redundant gerund “taking”)8. Make your stitches closer. (“together” redundant, implied in “closer”)9. Make adjustments according to the circumstances (“appropriate” is redundant since “according to” implies “appropriateness”, and “adjustments” also implies “changes according to”)10. With more mechanization, agriculture is flourishing. (unnecessary noun “the development of”)11.He has a lot of views on this matter. (“his own” redundant, “he has” is enough)12. be devoted to education (“task” is unnecessary)13. We must try to unite with all those we can. (“care must be taken”is in the passive and involved; “we can unite with”is repetitious and has a dangling preposition) (refer to similar pattern: we must read all the books we can; we must learn all the knowledge we can, etc.)14. So many people suddenly showed up, the cook will find it really hard to hustle up a meal. (long subordinate clause, “here all of a sudden” missing a verb｛”arriving all of a sudden”｝), use of “I” is awkward, repetition of “for a meal” and “something to eat.”)15. “Willfully” is redundant, “trample” already has the meaning of rough and inconsiderate Willful: usu attrib derog(贬义) of sth bad done deliberately; intentionalTrample: 踩坏或踩伤某物、人16. Plunder the resources of other countries. “unbridled”redundant because “plunder”alreadyhas the meaning of violent and excessive robbery.Plunder: take valuable things from a place using force, sometimes causing a lot of damage 掠夺17. I’ll warn them in the kitchen so there won’t be a last minute rush. Or I’ll warm them in the kitchen now to avoid a last minute rush.(clauses clumsy, can be simplified to a single sentence; use ordinary future tense instead of “am going to”, as to “not have to rush about at the last minute”, simply use “avoid a last minute rush”)18. He has to follow my orders since he works under me. (avoid literal translation of idiomatic expression)19. A notice was published in the newspaper. (anything in the newspaper is by definition public).20. We have four PR people in our company in charge of sales promotion. (simplify a compound-complex sentence [with 2 main clauses and 1 subordinate one] into a simple sentence with prepositional phrases.)21. She became confused when the teacher asked the question. Or she was confused by the teacher’s question. (usage: become confused has a sense of “process”. Avoid the subordinate clause of time and extra verb “asked”, use a prepositional phrase instead: shortens. Overuse of subordinate clauses very common in Chinglish, leads to long sentgences and heavy style)22. He lost his way in the night. Or he lost his way in the dark. (“dark” with night is redundant, most nights are dark. 黑夜in Chinese is a set of expression meaning “night”, rather like 老虎which is translated as “tiger” not “old tiger”)23. Your reasons are unconvincing, or Your reason is unconvincing.Avoid the heaviness of the implied subordinate clauses (the reason that you gave is unconvincing) with the two verbs. Typical Chinglish heaviness.。
怎样改正计算错误作文英语When correcting calculation errors in English essays, there are several steps you can take to improve the accuracy and clarity of your writing:1. Identify the Errors: Carefully read through your essay to pinpoint any calculation errors. Look for inconsistencies in numerical data, mathematical operations, or statistical analysis.2. Verify the Calculations: Double-check all the calculations to ensure accuracy. Use a calculator or spreadsheet software if necessary. Pay attention to decimal points, units of measurement, and mathematical formulas.3. Correct Mistakes: Once you've identified the errors, correct them systematically. Rewrite any incorrect calculations using the accurate numbers and methods. Be sure to explain your reasoning clearly to avoid confusion.4. Provide Explanations: If your calculations involve complex formulas or concepts, provide explanations tojustify your calculations. Break down the steps involved and show your thought process. This helps readers understand how you arrived at your conclusions.5. Review for Consistency: After making corrections, review your essay to ensure consistency throughout. Check that all calculations align with the topic and thesis of your essay. Verify that the corrected numbers and data support your arguments effectively.6. Seek Feedback: If possible, ask a peer, teacher, or tutor to review your revised essay. They can offer valuable feedback on the accuracy of your calculations and theclarity of your explanations. Incorporate any suggestions for improvement as needed.7. Practice Regularly: Improving your calculationskills takes practice. Dedicate time to practicing mathematical problems, data analysis, and statistical calculations. The more you practice, the more confident andproficient you'll become in avoiding calculation errors in your writing.By following these steps, you can effectively correct calculation errors in your English essays and present accurate and well-supported arguments. Remember to prioritize clarity and precision in your writing to convey your ideas effectively to your readers.。
2024年06版小学三年级下册英语第一单元测验试卷考试时间：100分钟（总分:110）B卷考试人：_________题号一二三四五总分得分一、综合题(共计100题共100分)1. 填空题：The ______ (小鸟) is singing in the tree. Its song is very ______ (悦耳的).2. 填空题：The _____ (植物生长模式) can vary widely across species.3. 选择题：What is the chemical symbol for helium?A. HB. HeC. OD. N答案: B4. 填空题：My favorite cartoon is ______.5. 填空题：A __________ (科学发现) often leads to breakthroughs in chemistry.6. 听力题：A __________ is a large expanse of tundra.7. 听力题：The chemical formula for ammonia is ________.8. 听力题：The cake is ________ and delicious.9. 选择题：Which device do we use to see things that are far away?A. MicroscopeB. TelescopeC. BinocularsD. Magnifying glass答案: B10. 选择题：What do we call the liquid that falls from the sky?A. SnowB. RainC. HailD. Sleet答案:B11. 选择题：What is 4 x 4?A. 8B. 12C. 16D. 20答案: C12. 选择题：Which shape has four equal sides?A. TriangleB. CircleC. SquareD. Rectangle13. 选择题：What is the primary language spoken in the USA?A. SpanishB. FrenchC. EnglishD. German答案:C. English14. 听力题：The chemical formula for sodium sulfate is ______.15. 选择题：What is the main ingredient in bread?A. SugarB. FlourC. RiceD. Milk答案:B16. 填空题：A turtle can live both on ______ (陆地) and in water.17. 选择题：What is the name of the closest star to Earth?A. Proxima CentauriB. Alpha CentauriC. BetelgeuseD. Sirius18. 听力题：A chemical bond is the force that holds ______ together.19. 听力题：The weather is ________ today.20. 选择题：What do you call a young buffalo?A. CalfB. KitC. PupD. Cub21. 听力题：My mom is a ______ (nurse).22. 听力题：She is _______ (coloring) in her book.23. 听力题：The bear catches a fish with its _____ strong paws.24. 填空题：A turtle can be found in ______ (湖泊) or oceans.25. 听力题：The chemical formula for sodium th26. 听力填空题：I think animals are amazing! My favorite animal is __________ because it is__________. I would love to have one as a pet. I enjoy visiting the __________ to see different kinds of animals.What do we call a large, round fruit that is usually orange?A. AppleB. PearC. PeachD. Orange答案：D28. 选择题：What do we call the feeling of being scared?A. FearB. JoyC. AngerD. Surprise答案:A29. 听力题：My sister loves to ________.30. 听力题：A ______ can carry heavy loads.31. 填空题：A ________ (树枝) can break if it is too heavy.32. 听力题：Pressure can affect the ________ of gases.33. 填空题：I found a _______ (有趣的) book at the store.34. 选择题：What is the largest ocean in the world?A. Atlantic OceanB. Indian OceanC. Arctic OceanD. Pacific Ocean答案:D35. 选择题：What is the smallest ocean?A. AtlanticB. IndianC. ArcticD. PacificWhat do you call a type of story that explains how something happened?A. MythB. LegendC. FableD. Fairytale答案: B37. 填空题：I can climb ______ trees.38. 选择题：What is the main source of energy for the Earth?A. MoonB. StarsC. SunD. Planets39. 填空题：The __________ (本土文化) must be preserved.40. 填空题：The ________ (山脉) is very long and stretches across several countries.41. 听力题：An astronaut travels into _____ to explore space.42. 选择题：What is the capital of Zambia?A. LusakaB. NdolaC. KitweD. Livingstone答案:A. Lusaka43. 听力题：A ____ is a small creature that enjoys eating fruit.44. 填空题：The cat catches a _______ (猫抓住一只_______).45. 填空题：The park is full of _______ (孩子们).The antelope is known for its incredible ______ (跳跃).47. 听力题：In a chemical reaction, the total number of atoms must remain constant according to the law of _____ of mass.48. 听力题：I want to go to the ________.49. 填空题：The founding of the city of Rome is attributed to ______ (罗摩ulus).50. 选择题：What is 2 + 2?A. 3B. 4C. 5D. 651. 选择题：What is the color of snow?A. BlackB. BlueC. WhiteD. Green52. 填空题：The ancient Greeks engaged in ________ (体育) during the Olympics.53. 听力题：A reaction that absorbs heat is called an ______ reaction.54. 听力题：We have ___ (history/math) class today.55. 选择题：Which of these animals is a reptile?A. FrogB. LizardC. BirdD. Fish56. 听力题：A ____ is often seen chasing after its friends in the yard.What do you call a type of music played on a piano?A. ClassicalB. JazzC. RockD. All of the above58. 听力题：The bird is _______ (nesting) in the tree.59. 选择题：Which instrument has keys and is played by pressing them?A. GuitarB. DrumsC. PianoD. Flute答案:C60. 选择题：What do you call a large mammal that lives in the ocean?A. SharkB. WhaleC. DolphinD. Seal答案:B61. 听力题：My mother is a ______. She helps with homework.62. 选择题：What is the name of the famous festival celebrated in India?A. ChristmasB. DiwaliC. HalloweenD. Thanksgiving答案:B63. 听力题：The __________ is a region known for its music.64. 填空题：The ______ (灌溉) system helps water plants.65. 填空题：A ____(geographic information system) analyzes geographic data.What is 8 2?A. 5B. 6C. 7D. 8答案:B67. 选择题：What is the term for the amount of matter in an object?A. WeightB. VolumeC. DensityD. Mass答案:D68. 听力题：Rocks can be classified into three types: igneous, ______, and metamorphic.69. 选择题：What do you call the person who teaches you in school?A. DoctorB. TeacherC. EngineerD. Chef答案: B70. 填空题：A _____ (植物互动) can encourage community involvement.71. 选择题：What is the name of the first woman in space?A. Sally RideB. Valentina TereshkovaC. Mae JemisonD. Eileen Collins答案：B72. 填空题：My favorite character in a movie is _______ (名字). 他/她是个 _______ (形容词)的人.73. 选择题：What do we call a person who repairs cars?A. MechanicB. ElectricianC. PlumberD. Carpenter74. rain gauge) measures precipitation. 填空题：The ____75. 选择题：What is 2 + 2?A. ThreeB. FourC. FiveD. Six76. 听力题：The ______ helps with the regulation of blood pressure.77. 选择题：What is the opposite of "north"?A. EastB. WestC. SouthD. Up答案: C. South78. 听力题：My brother likes to play _____ (basketball/football).79. 听力题：The ____ has shiny scales and can be found in rivers.80. 填空题：A ______ (社区参与) can enhance gardening efforts.81. 听力题：Acids can turn blue litmus paper ______.82. 选择题：What do you call the part of the plant that absorbs sunlight?A. RootB. LeafC. StemD. Flower83. 填空题：The flowers in the garden are _______ and cheerful, making me happy.84. 听力题：The birds are ______ in the trees. (chirping)85. Wall is a significant landmark in _____ (中国). 填空题：The Grea86. 选择题：What do we call the study of ancient cultures?A. AnthropologyB. SociologyC. ArchaeologyD. History87. 听力题：He can ______ (swim) very well.88. 听力题：My aunt loves to volunteer at the ____ (shelter).89. 填空题：The __________ is where most of the world's earthquakes occur. (环太平洋火山带)90. 填空题：A ____(continent) is a large landmass, like Africa or Asia.91. 选择题：What term describes the shape of the orbit of planets?A. CircularB. EllipticalC. LinearD. Irregular92. 填空题：Plants can be used for decoration and ______ (美化).93. 填空题：My brother loves to __________ (解决难题).94. 听力填空题：I think that understanding different perspectives can lead to __________.95. 听力题：She can _______ (speak) three languages.96. 选择题：Which planet is known for its rings?A. JupiterB. SaturnC. NeptuneD. Uranus答案: B97. 听力题：The _____ (bird/fish) is chirping.98. 填空题：__________ (腐蚀) is the gradual destruction of materials due to chemical reactions.99. 填空题：My cousin is a great __________ (运动员) in track.100. 听力题：The chemical formula for benzene is _____.。
英语考试作文Error Correction “短文改错”题型的情况假设你是李华，你的英国网友Peter希望了解一下我国高考英语试卷（NMET）中的“短文改错”（Error Correction）题型的情况。
请你写一封回复邮件。
并特别强调自己某一次因为没有严格按照要求答题被扣掉了本可得到的7分。
注意：1．词数100左右2．内容请参照本卷该大题内容。
3．生词：（打）勾：tick 分：point 逻辑（的）：logicHi, Peter:Thanks for your e-mail. Here I’m going to tell you what you asked about.Error Correction, as the 1st section of Written Part of NMET, mainly tests the mastery of the use of words and grammar of English. The understanding of the given text is course important to the performance.There are 10 numbered lines, each of which mayhave one mistake. You have to decide firstly whether there is a mistake or not. If not, put a tick in the numbered blank. If there is a mistake, you may have to add a word, cross out a word, or change word. You have to find out the mistakes in the use of words and/or grammar. Sometimes there may be a logic problem, which would be the most difficult.Last time I got 7 points less than expected. Why?I didn’t put the answers strictly following the rule, although I did know how to do it.Anything still unclear? Just write to me.嗨，彼得：谢谢你的邮件。
英语学习中的常见语法错误及纠正方法Common Grammar Errors in English Learning and Corrective MethodsIntroduction:English grammar is an essential aspect of language proficiency. However, learners often encounter common grammar errors that can hinder their communication skills. In this article, we will explore some of these errors and provide effective methods to correct them.1. Subject-Verb Agreement:One frequent error is the inconsistency between the subject and the verb in terms of number. For example, saying "The dog chase the ball" instead of "The dog chases the ball." To correct this error, learners should ensure that the verb agrees with the subject in terms of singular or plural form.2. Tense Usage:Another common error is the incorrect use of tenses. For instance, saying "I see the movie yesterday" instead of "I saw the movie yesterday." To overcome this error, learners should pay close attention to the appropriate use of past, present, and future tenses based on the context of the sentence.3. Misplaced Modifiers:Misplacing modifiers can lead to ambiguity and confusion in a sentence. An example is "Only John ate the pizza" instead of "John only ate the pizza." To rectify such errors, learners should place modifiers directly before or after the word or phrase they are modifying to maintain clarity in their communication.4. Comparative and Superlative Forms:Using incorrect forms of comparison is another common grammar error. For instance, saying "He is more taller than me" instead of "He is taller than me." To avoid this mistake, learners should familiarize themselves with the correct comparative and superlative forms of adjectives and adverbs.5. Singular and Plural Nouns:Confusion between singular and plural nouns often occurs in English learning. For example, saying "This informations is useful" instead of "This information is useful." To address this error, learners should remember that plural nouns do not require an additional "s" in their form and should be accompanied by plural pronouns and verb agreement.6. Prepositions:Misusing prepositions can significantly affect the meaning of a sentence. For instance, saying "I am studying at the library in" instead of "I am studying at the library." To correct this mistake, learners should familiarize themselves with the appropriate prepositions that are commonly used in specific contexts.7. Sentence Fragments:Inadequate sentence structure often results in sentence fragments. For example, saying "Playing in the park." instead of "I enjoy playing in the park." To avoid this error, learners should ensure that every sentence contains a subject and a predicate, conveying a complete thought.Conclusion:Mastering grammar in English learning is crucial for effective communication. By identifying common grammar errors and applying the appropriate corrective methods, learners can enhance their language skills and convey their thoughts accurately. Continuous practice and seeking guidance from experienced teachers or language resources can further assist in overcoming these challenges and refining their English grammar proficiency.。
错误是学习的好方法英语作文300Learning from mistakes is like a secret weapon in our journey of personal growth. It's not just about falling and getting back up, it's about understanding why you fell and how to avoid it next time.Hey, nobody's perfect! We all make mistakes, big or small. But it's the way we handle them that defines us. Some people let them get them down, while others see them as opportunities to learn and improve.Remember that first time you tried cooking and the dish came out all wrong? It was a disaster, sure, but didn't you learn something new? Maybe it was about the right amount of salt or how to control the heat. Next time, you were alittle wiser.Mistakes teach us patience and resilience. They make us stronger, not weaker. Sure, it's frustrating at times, but that's how we grow. Just like a plant needs rain to grow,we need mistakes to bloom.So don't be afraid to make mistakes. Embrace them, learn from them, and move forward. After all, it's all part of the adventure of life.。
a r X i v :h e p -l a t /9711010v 1 6 N o v 19971A study of O (1/m 2Q )corrections for fB with lattice NRQCDN.Yamada a ∗,S.Hashimoto b †,K-I.Ishikawa a ,H.Matsufuru a ‡and T.Onogi aa Department of Physics,Hiroshima University,Higashi-Hiroshima 739,Japan bHigh Energy Accelerator Research Organization(KEK),Tsukuba 305,JapanWe investigate higher order effects in the nonrelativistic expansion of lattice QCD on the heavy-light meson decay constants and some other quantities in order to understand the truncation error of NRQCD.While our numerical results have large O (a )and O (αs )errors due to the use of Wilson light quark action and the tree-level matching,we find that the truncation error of higher order relativistic corrections are adequately small around the mass of the b quark.We also present a perturbatively matched results through 1-loop level without operator mixing effects.1.IntroductionIt is indispensable for the verification of the Standard Model and the new physics search that weak matrix elements between hadrons involving b -quark are calculated with high accuracy.Here,we focus on the heavy-light meson decay con-stants[1],particularly f B ,whose accurate value isneeded for the determination of |V ∗tb V td |together with B B parameter.The lattice NRQCD[2]en-able us to do the direct simulations at the b quark and has yielded remarkable progress on the heavy quark physics.So far the studies including 1/m Q corrections have made it clear that there exists a large 1/m Q correction to the value in the static limit[3].In this talk we report on the systematic study of the 1/m 2Q corrections.A preliminary re-port of an investigation of O (1/m 2Q )corrections similar to our work has been reported in Ref.[4].The action and operators should be matched to the full theory since NRQCD is an effective the-ory.Recently we have completed the self-energy renormalization constants and the multiplicative part in the renormalization of axial vector cur-rent[5].In this article we present the results of f B and some other quantities with and without 1-loop matching.1−3κ2n n1−aδH 21−aH 02m Q,(2)and in order to realize two accuracies we define2twoδH’s as follows:δH1=−g σ· B2m Q +ig8m2Qσ·( △× E− E× △)−(△(2))224mQ−a(△(2))22m Q,(6)R2=1− γ· △8m2Q+g Σ· B4m2Q,(7)whereΣj=diag.{σj,σj}.We apply the tadpole improvement[7]to all link variables in the evolu-tion equation and R by rescaling the link variables as Uµ→Uµ/u0.We performed two simulations using following two sets:set I≡{δH1,R1}and set I I≡{δH2,R2}.(8) set I and I I are fully consistent through O(1/m Q) and O(1/m2Q),respectively.FurthermoreδH2has the leading relativistic correction to the disper-sion relation,which is an O(1/m3Q)term,and the terms improving the discretization errors appear-ing in H0and time evolution are also included.0.00.10.20.30.40.51/MP[GeV−1]0.20.30.40.50.60.70.80.9fPM P1/2[GeV3/2]Figure1.1/M P dependence of f P M P1/2with set I(open symbols)and set I I(solid symbols).Cir-cles are the results with tree-level matching and squares and triangles are with1-loop matching on the scale of q∗=π/a and1/a,respectively.For the heavy quark mass and the stabilizing parameter,we use(am Q,n)=(10.0,1),(5.0,2), (2.6,2),(2.1,3),(1.5,3),(1.2,3)and(0.9,4),which cover a mass range between4m b and m c.Our strategy is to study systematically the ef-fects of an inclusion of O(1/m2Q)terms by com-paring two results from these simulations.All of our errors are estimated by a single elimination jack-knife procedure.3.Results3.1.decay constantsFig.1shows the1/M P dependence of f P√30.00.10.20.30.40.51/M P [GeV −1]0.040.060.080.100.120.14M P s−M P [G e V]Figure 2.1/M P dependence of M P s −M P with set I(open symbols)and set II(solid symbols).Dia-monds are with κs from φmeson and circles from K meson.Two asterisks indicate the experimen-tal values.all mass region.3.3.perturbative matchingRecently we have completed the self-energy renormalization constants and the multiplicative part inthe renormalization of axial vector current with set I[5].Since the scale q ∗where the strong coupling constant should be estimated is still un-determined,we estimate the matching factor at q ∗=1/a and π/a and show the results with the factor in Fig.1.4.SummaryWe presented the effects of O (1/m 2Q )correc-tion to the heavy-light meson decay constant with tree-level matched lattice NRQCD and Wilson quark action in a quenched approximation.While the O (1/m Q )correction to the decay constant in the static limit is significant[3],we find in our sys-tematic study that the O (1/m 2Q )correction is suf-ficiently small for B meson,so that there will be no need for incorporating O (1/m 3Q )corrections unless an accuracy of better than 5%is sought for.Our examination of other physical quanti-ties in the same respect also provides encouraging support to this statement.We have thus shown using our highly improved lattice NRQCD that the relativistic error,which has been one of the largest uncertainties in lattice calculations of the B meson decay constant,is well under control.0.00.10.20.30.40.51/M P [GeV −1]1.01.11.21.3f P s/f PFigure 3.1/M P dependence of f P s /f P with set I(open symbols)and set II(solid symbols).Dia-monds are with κs from φmeson and circles from K meson.Our results still have several sources of large sys-tematic errors,that is,O (a ),O (αs /M ),O (aαs )and a quenching errors.When improvements of these errors are all in place,we expect to achieve a lattice NRQCD determination of f B with the accuracy of less than 10%.Numerical calculations have been done on Paragon XP/S at INSAM (Institute for Numeri-cal Simulations and Applied Mathematics)in Hi-roshima University.REFERENCES1.For the reviews on the results of the decayconstants using NRQCD,see A.Ali Khan,these proceedings.2. B.A.Thacker and G.P.Lepage,Phys.Rev.D 43,196(1991);G.P.Lepage et al.,Phys.Rev.D464052(1992).3.S.Collins et al.,Phys.Rev.D 55,1630(1997).4. A.Ali Khan,T.Bhattacharya et al.,Nucl.Phys.B(Proc.Suppl.)53,368(1997).5.K-I.Ishikawa et al.,these proceedings.6.G.P.Lepage,Nucl.Phys.B(Proc.Suppl.)26,45(1992);A.X.El-Khadra,A.Kronfeld and P.Mackenzie,Phys.Rev.D 55,3933(1997).7.G.P.Lepage and P.B.Mackenzie,Phys.Rev.D 48,2250(1993).8.K-I.Ishikawa,H.Matsufuru,T.Onogi,N.Yamada and S.Hashimoto,hep-lat/9706008,to be appearing in Phys.Rev.D.。
