MCM写作句式参考
MCM写作模版-优缺点
Strengths✧Our main model's strength is its enormous edibility. For instance,……..Including allthese factors into a single, robust framework, our model enables✧We developed a theoretical line formation model which agrees without rough data. Ourcomputer model agrees with both despite working on different principles, implying it behaves as we want.✧This allows us to make substantive conclusions about✧Finally, our model is strong because of✧The Monte Carlo simulation has been perfectly used in our models, and thesimulation results are consistent with the reality.✧We introduced…… in order to improve the exchange quality. The chain rulescan also modified in a degree.✧The models used in our paper is promotional, in view of different consideration,✧we can modify our models conveniently.✧the model is independent of the site simulated( )…✧the( )model is .intuitive✧the algorithm is efficient ::✧ a corresponding strength of our model is that it would be relatively easy to include aparameter for probability of ……✧Our model is particularly appropriate for simulation of ……, a problem that naturallylends itself to such discrete modeling.✧The fundamental strengths of our model are…✧The model is independent of…✧Processor-based model has few input parameters, leading to good robustness andsensitivity.✧Uses a variety of modeling techniques in an integrated, holistic model.✧Our model effectively achieved all of the goals we set initially. It was fast and couldhandle large quantities of data, but also had the flexibility we desired. Though we did not test all possibilities, we showed that our model optimizes state districts for any ofa number of variables. If we had chosen to input income, poverty, crime or educationdata into our interest function, we could have produced high-quality results with virtually no added difficulty. As well, our method was robust.✧Our main model's strength is its enormous flexibility. For instance✧This allows us to make substantive conclusions about policy issues, even withoutextensive data sets. By varying parameters, allocation rules, and our program'sobjective function——all quite feasible within the structure——we can examine the guts of policymaking: the ethical principles underlying a policy, the implementation rules designed to fulfill them, and the sometimes nebulous numbers that govern the results.✧Finally, our model is strong because of its discrete setup.✧The fundamental strengths of our model are its robustness and flexibility. All ofthe data is fully parameterized, so the model can be applied to……Weaknesses✧Some special data can’t be found, and it makes that we have to do some properassumption before the solution of our models. A more abundant data resource can guarantee a better result in our models. Current line length is not taken intoaccount by the line formation model. In real life……✧Weaknesses of the model included assumptions made for simplicity that likely do nothold. For instance, in most runs of our model on(sides……), cases (impact/conclusion) to…… This feature is likely a result of our assumption that /The primary weakness of this model is the( ), It should be possible to eliminate this, another weakness that could be corrected with more analysis is ( )`✧The primary weakness of this model is the…Another weakness that could be corrected with more analysis is …✧Parameters have to be derived from physical occurrences.✧The other primary weakness of our model is our lack of metrics for comparison.✧Although we list the model's comprehensive, discrete simulation as a strength, it is ✧(Paradoxically) also the most notable weakness. Our results lack clear….Second ,ourmodel demands great attention to….While its general structure and methodology are valid, the specific figures embedded in its code are not airtight.✧Although we list the model's comprehensive,……as a strength, it is(paradoxically) also the most notable weakness. Our results lack clear illustrative power; data manipulated through a computer program cannot achieve the same effect as……✧Indeed, there is a fundamental tradeoff here between realism and elegance, andour model arguably veers toward over realism.。
美国数学建模MCM_ICM论文常用句式总结
The expression of ... can be expanded as: ......的表达式可扩展为...A is exponentially smaller than B, so it can be neglected.A对B来说呈指数级减小，所以可以忽略不计。
Equation (1) is reduced to:方程（1）化简为：Substitute the values into equation (3), we get ...把这些值代入方程3，我们得到...According to our first assumption on Page 1,根据我们第一页的第一个假设，Thus we arrive at the conclusion：因此我们得到结论：From the model of ... ,we find that theoretically, it is almost true that ...由...模型，我们从理论上证明了... 是真实可信的。
That is the theoretical basis for ... in many application areas.这是...在很多领域应用的理论基础。
To quantitatively analyze the different requirements of the two applications, we introduce two measures:为了定量的分析这两种应用的不同要求，我们介绍来两个量度标准。
We give the criterion that ...我们给出了...的判别标准According to the criterion of...根据...的标准So its expression can be derived from equation (3) with small change.所以它的表达式可以由方程3做微小改动而推出。
美赛memo的格式
美赛memo的格式英文回答：As a team member of the MCM/ICM contest, I understand the importance of a well-structured and well-written memo. The format of the memo is crucial in conveying our ideas and solutions effectively. Therefore, it is essential to follow a clear and organized structure when writing the memo.The memo should begin with a brief introduction, providing background information on the problem at hand. This sets the stage for the reader and helps them understand the context of the issue. It is important to be concise yet informative in this section, as it lays the foundation for the rest of the memo.Following the introduction, the memo should present the analysis of the problem. This is where we delve into the details of the problem, using mathematical models, dataanalysis, and any other relevant methods to provide a thorough understanding of the issue. It is crucial to be clear and logical in our explanations, ensuring that the reader can follow our thought process.After the analysis, the memo should propose solutions to the problem. This is the crux of the memo, where we showcase our creativity and critical thinking skills. It is important to present multiple solutions, weighing the pros and cons of each, and ultimately recommending the most effective approach. Providing real-life examples or case studies can further strengthen our argument.Finally, the memo should conclude with a summary of the key points and recommendations. This section should reiterate the main findings and emphasize the proposed solutions. It is important to leave the reader with a clear understanding of our conclusions and the next steps to be taken.Overall, the memo should be well-organized, clear, and persuasive. By following a structured format and providingcompelling content, we can effectively communicate ourideas and solutions to the judges.中文回答：作为数学建模竞赛的团队成员，我深知一份结构良好、写作规范的备忘录的重要性。
2010年美赛论文写作整理
2010年美赛论文写作整理7273的o 奖论文Title Tracking serial criminals with a road metric 目的ing with 模型名称模型名称Abstract 句型整理句型整理Present a model to 什么目的什么目的 based on 什么数据什么数据We first create 自己建立的模型的名称自己建立的模型的名称 in order to 这个模型的功能这个模型的功能这个模型的功能 We apply 资料上的高端模型名称资料上的高端模型名称 with our 自己建立的模型名称, which allows us to 什么目的什么目的In In order order order to to 什么目的，we we use use use a a a refinement refinement refinement of of of a a a model model model developed developed developed by by 谁提出的, adapting it to the 自己建立的模型的名称自己建立的模型的名称This This method method method developed developed 模型里的什么东西模型里的什么东西 for 什么目的什么目的 by 什么方法或者理由依据依据We apply our model to 案例s ，blahblahblah Our model was successful in 什么目的，and might prove useful in 那个领域那个领域行文方法行文方法 1．自己给模型起了一个名字．自己给模型起了一个名字2．然后不停地说为了干什么，我们的模型怎么样怎么样（改进了前人的，用前人的检验了之类的）人的检验了之类的）3．模型运用在那些实例上，取得了怎样的效果//并没有具体的说运算的结果，只是说模型很成功。
大学生英语竞赛作文c类万能模板
大学生英语竞赛作文c类万能模板全文共3篇示例，供读者参考篇1University English Competition Writing Template CIntroduction：1. State the topic of the essay2. Explain its significance and relevance to the modern world3. Provide a thesis statementBody：1. Present an overview of the topic2. Discuss the main points and examples3. Analyze the implications and importance of the topic4. Compare and contrast different perspectives or solutions5. Offer personal insights or experiences related to the topicConclusion：1. Summarize the key points made in the essay2. Restate the thesis statement3. Provide a closing thought or call to actionSample Essay:Title: The Impact of Social Media on SocietyIntroduction:Social media has become an integral part of our lives, influencing the way we communicate, connect, and interact with others. In today's digital age, the impact of social media on society is profound and far-reaching. This essay will explore the various aspects of this topic and discuss its significance in the modern world.Body:Social media platforms such as Facebook, Twitter, and Instagram have revolutionized the way we communicate and share information. They have made it easier for people to connect with others, express their opinions, and access news and updates in real-time. However, the widespread use of social media has also raised concerns about privacy, cyberbullying, and the dissemination of fake news.One of the key implications of social media is its ability to influence public opinion and shape political discourse. With the rise of social media influencers and online activism, individuals have a powerful platform to voice their opinions and advocate for social change. At the same time, the spread of misinformation and propaganda on social media has the potential to manipulate public perceptions and undermine democratic values.Furthermore, social media has a significant impact on mental health and well-being. Studies have shown that excessive use of social media can lead to feelings of loneliness, anxiety, and depression. The constant comparison to others' curated lives on social media can also contribute to low self-esteem and body image issues, especially among young people.In conclusion, the impact of social media on society is complex and multifaceted. While it has revolutionized the way we communicate and connect with others, it also raises important questions about privacy, misinformation, and mental health. As individuals and as a society, it is crucial to be mindful of the implications of social media and use it responsibly.Overall, the significance of social media in the modern world cannot be overstated. It is up to us to navigate the complexitiesof social media and use it as a force for positive change in society.Conclusion:In conclusion, social media has become a powerful force in shaping our society and culture. Its impact is profound andfar-reaching, influencing the way we communicate, connect, and interact with others. As we navigate the complexities of social media, it is important to be mindful of its implications and use it responsibly. By harnessing the power of social media for good, we can create a more connected and inclusive society for all.篇2Sample Essay for College English Competition C CategoryIntroductionIn today's globalized world, proficiency in the English language is essential for success in various career fields. As such, many colleges and universities hold English competitions to assess students' language skills and encourage them to improve. This essay will provide a general template for students participating in college English competitions under Category C, focusing on providing a well-structured and cohesive essay.TemplateI. Introduction- Introduce the topic or prompt- Provide a brief overview of the main points to be discussedII. Body ParagraphsA. Point 11. Topic sentence introducing the first main point2. Supporting details or examples3. Explanation or analysis of how the details support the pointB. Point 21. Topic sentence introducing the second main point2. Supporting details or examples3. Explanation or analysis of how the details support the pointC. Point 31. Topic sentence introducing the third main point2. Supporting details or examples3. Explanation or analysis of how the details support the pointIII. Conclusion- Summarize the main points discussed in the body paragraphs- Restate the significance of the topic or provide a concluding thoughtExample Essay:Prompt: "Discuss the role of education in shaping the future of society."Introduction:Education plays a crucial role in shaping the future of society by providing individuals with knowledge, skills, and values necessary for personal and societal development. This essay will examine how education impacts society in terms of economic growth, social cohesion, and individual empowerment.Body Paragraphs:A. Economic Growth:- Education equips individuals with the necessary skills and knowledge to contribute to the economy.- Higher levels of education are associated with higher incomes and increased job opportunities.- Investment in education leads to a skilled workforce, innovation, and technological advancements.B. Social Cohesion:- Education promotes social mobility and reduces inequalities in society.- Well-educated individuals are more likely to be tolerant, respectful, and open-minded.- Education fosters a sense of community and citizenship, leading to a more cohesive and harmonious society.C. Individual Empowerment:- Education empowers individuals to make informed decisions and pursue their passions.- Lifelong learning enhances personal growth, critical thinking, and problem-solving abilities.- Education enables individuals to realize their full potential and lead fulfilling lives.Conclusion:In conclusion, education is a transformative force that shapes the future of society by fostering economic growth, social cohesion, and individual empowerment. By investing in education and ensuring equal access to quality education for all, we can create a more prosperous, inclusive, and sustainable society for future generations.ConclusionThis template provides a structured approach for college students participating in English competitions under Category C. By following this outline, students can effectively organize their ideas, provide supporting evidence, and create a cohesive and well-developed essay. Good luck to all participants!篇3Title: A Template for College Students' English Competition Essay (Category C)Introduction:English competitions are a great opportunity for college students to showcase their language skills and knowledge. Category C usually involves writing an essay on a given topic. To help participants excel in such competitions, here is a versatile template that can be used as a guide to structure and organize their essay effectively.Template:I. Introduction- Start with a hook or an interesting fact to grab the readers' attention.- Briefly introduce the topic and provide some background information.- End the introduction with a thesis statement that states the main argument or point of view.II. Body Paragraphs- Each body paragraph should focus on a single idea or point related to the topic.- Start with a topic sentence that introduces the main idea of the paragraph.- Provide supporting evidence, examples, or facts to substantiate the point you are trying to make.- Use transition words to smoothly connect one paragraph to the next.III. Counterargument- Anticipate possible counterarguments to your thesis statement.- Acknowledge and address these counterarguments in a separate paragraph.- Refute the counterarguments with logical reasoning, evidence, or examples.IV. Conclusion- Summarize the main points discussed in the body paragraphs.- Restate the thesis statement in a different way.- End with a strong concluding statement that leaves a lasting impression on the readers.V. Language and Style- Use varied sentence structures to make the essay more interesting.- Avoid repetition and clichés. Use synonyms or different expressions instead.- Pay attention to grammar, punctuation, and spelling. Proofread the essay before submitting.Conclusion:This template is a useful tool for college students participating in English competitions in Category C. By following this structured approach, participants can effectively organize their ideas, present coherent arguments, and impress the judges with their language skills. Good luck to all the participants in their upcoming competitions!。
英文学术论文写作常用句型
一、~~~ the + ~ est + 名词+ (that) + 主词+ have ever + seen ( known/heard/had/read, etc)~~~ the most + 形容词+ 名词+ (that) + 主词+ have ever + seen ( known/heard/had/read, etc)Lack of interpersonal skills is one of the most serious defects that we have ever kn own about today’s college stude nts.缺乏人际交往技能是我们迄今所知的当今大学生的最大缺陷。
二、Nothing is + ~~~ er than to + VNothing is + more + 形容词+ than to + V例句：For parents, nothing is more important than to educate children in a proper way.没有比以一种正确方式教育孩子更重要的事情了。
三、~~~ cannot emphasize the importance of ~~~ too much.（再怎么强调...的重要性也不为过。
）例句：We cannot emphasize the importance of protecting celebrities’ privacy too much.我们再怎么强调保护名人隐私的也不为过。
四、There is no denying that + S + V ...（不可否认的...）例句：There is no denying that the practical ity of our higher education has gone from bad to worse.不可否认的，我们高等教育的实用性已经每况愈下。
英语杂志作文万能句型模板
英语杂志作文万能句型模板英文回答：Introduction。
The relentless march of globalization has undoubtedly ushered in an era of unprecedented interconnectedness,where the exchange of ideas, information, and cultural influences has become ubiquitous across borders. Amidstthis transformative landscape, the role of English language magazines has assumed paramount importance as they serve as conduits for the propagation of knowledge, viewpoints, and cultural narratives that shape our collective consciousness.The Universal Appeal of English Magazines。
The widespread adoption of English as the lingua franca of international communication has catapulted English language magazines into the global arena, granting them access to a vast and diverse readership. This ubiquity hasenabled magazines to transcend geographical and cultural divides, fostering a shared understanding of the world among readers from all walks of life.Content Diversity and Variety。
英语短文投稿作文万能句式式
英语短文投稿作文万能句式式The art of crafting an impactful English essay often lies in the strategic use of versatile sentence structures. As aspiring writers, we must embrace the power of these universal sentence formulas to elevate our compositions and captivate our audience. In this essay, we will explore the essence of these "universal sentence formulas" and how they can be employed to create compelling and well-structured English essays.One of the foundational elements of a strong essay is the ability to craft clear and concise sentences that convey our ideas effectively. Universal sentence formulas provide us with a toolkit of proven structures that can be adapted to various contexts and writing styles. These formulas serve as a guiding framework, allowing us to organize our thoughts, maintain logical flow, and ensure coherence throughout the essay.Let us begin by examining the simplest yet often overlooked universal sentence formula the basic subject-verb-object structure. This straightforward construction forms the backbone of manysentences and allows us to present information in a direct and easily understandable manner. For example, "The student wrote the essay." By adhering to this basic structure, we establish a clear subject the student who performed the action of writing the essay. This foundational formula can be expanded and embellished to create more complex sentences that add depth and nuance to our writing.Another versatile universal sentence formula is the compound sentence, which combines two independent clauses using conjunctions such as "and," "but," or "because." This structure enables us to juxtapose ideas, draw connections, or present contrasting perspectives within a single sentence. For instance, "The student worked diligently on the essay, and she received a high grade." The compound sentence not only conveys the student's effort but also the resulting outcome, allowing us to efficiently communicate multiple pieces of information.Moving beyond the basic structures, we can explore more advanced universal sentence formulas that add sophistication and variety to our writing. The complex sentence, which incorporates a dependent clause, is a powerful tool for incorporating additional context or elaboration. Consider the following example "Although the task was challenging, the student persevered and completed the essay on time." The dependent clause "Although the task was challenging" provides a concession or condition that sets the stage for theindependent clause that follows.Furthermore, the use of parallel structure can lend a rhythmic quality and emphasis to our sentences. By repeating a similar grammatical pattern, we can create a sense of balance and emphasize the importance of the ideas being conveyed. For instance, "The student not only conducted thorough research but also crafted a well-structured argument." The parallel structure of "not only X but also Y" reinforces the equal significance of the two actions.In addition to these foundational formulas, we can also leverage more nuanced universal sentence structures to achieve specific rhetorical effects. The periodic sentence, wherein the main clause is delayed until the end of the sentence, can build anticipation and suspense. Conversely, the loose sentence, which places the main clause at the beginning, can create a more conversational and relaxed tone.Moreover, the judicious use of appositives, participial phrases, and absolute constructions can add depth, complexity, and sophistication to our sentences. These structures allow us to provide additional information, modify key elements, or convey contextual details without relying on separate sentences.As we delve deeper into the realm of universal sentence formulas, wemust also consider the importance of sentence variety. Crafting an essay with a diverse range of sentence structures not only enhances the reading experience but also demonstrates our command of the English language. By alternating between simple, compound, complex, and more advanced sentence types, we can create a rhythmic and engaging flow that captivates our audience.In conclusion, the mastery of universal sentence formulas is a crucial aspect of writing compelling English essays. These versatile structures serve as the building blocks of our compositions, allowing us to convey ideas clearly, establish logical connections, and add depth and nuance to our writing. By embracing these formulas and incorporating them seamlessly into our essays, we can elevate our writing, captivate our readers, and effectively communicate our thoughts and perspectives. As aspiring writers, let us embrace the power of universal sentence formulas and harness their potential to craft essays that leave a lasting impression.。
英语万能作文句式模板高考
英语万能作文句式模板高考English Universal Essay Sentence Template for College Entrance Examination。
In recent years, with the increasing importance of English in various fields, English writing has become an important part of the college entrance examination. In order to help candidates improve their writing skills and achieve better results in the college entrance examination, it is necessary to master some universal sentence templates for English writing. In this article, we will introduce some useful sentence templates for different types of English writing, including narrative, descriptive, argumentative and expository essays.Firstly, when writing a narrative essay, it is important to use vivid language and descriptive details to create a compelling story. For example, "It was a sunny day, and the birds were chirping merrily in the trees. I could feel the warmth of the sun on my skin as I walked through the park, enjoying the beauty of nature." This kind of sentence can help to set the scene and engage the reader's imagination.Secondly, when writing a descriptive essay, it is crucial to use sensory language to create a vivid picture in the reader's mind. For instance, "The old house stood at the end of the road, its weathered walls and creaky porch telling the story of years gone by. The scent of musty books and old wood filled the air as I stepped inside, and I could hear the sound of my footsteps echoing through the empty halls." By using sensory language, the writer can bring the setting to life and make it more relatable to the reader.Thirdly, when writing an argumentative essay, it is essential to use persuasive language and strong evidence to support your claims. For example, "It is clear that climate change is a pressing issue that requires immediate action. The overwhelming scientific evidence supports the fact that human activities are contributing to rising global temperatures, and if we do not take decisive measures to reduce carbon emissions, the consequences will be catastrophic." By using persuasive language and citing credible sources, the writer can make a compelling argument that is difficult to refute.Finally, when writing an expository essay, it is important to use clear and logical language to explain a complex topic. For instance, "The process of photosynthesis is essential for the survival of plants, as it converts sunlight, water, and carbon dioxide into energy. This energy is then used to fuel the plant's growth and development, making photosynthesis a crucial part of the natural world." By using clear and logical language, the writer can help the reader understand a complex topic more easily.In conclusion, mastering universal sentence templates for English writing is essential for achieving success in the college entrance examination. By using these templates, candidates can improve their writing skills and create more compelling and persuasive essays. With practice and dedication, anyone can become a proficient English writer and achieve better results in the college entrance examination.。
英语作文比赛万能句式模板
英语作文比赛万能句式模板Title: All-Purpose Sentence Patterns Template for English Writing Competition。
Introduction。
In the realm of English writing competitions, mastering the art of constructing well-crafted sentences is essential.A wide range of sentence patterns not only enhances the richness and variety of one's writing but also showcasesthe writer's proficiency in the language. This article aims to provide a comprehensive guide to various all-purpose sentence patterns that can be utilized in English writing competitions.1. Simple Sentences。
Simple sentences consist of a single independent clause and convey a clear and concise message. They are effectivein delivering straightforward information and are oftenused to make a point or state a fact. For example, "The sun sets in the west."2. Compound Sentences。
大学英语作文常用句式
大学英语作文常用句式University English Writing Common Sentence Patterns。
In university English writing, there are several common sentence patterns that can be used to improve the quality and fluency of your writing. These sentence patterns can help you to express your ideas clearly and effectively, and to create a more sophisticated and polished piece of writing. In this article, we will discuss some of the most common sentence patterns used in university English writing, and provide examples of how to use them in your own writing.1. The "although" sentence pattern。
This sentence pattern is used to express contrast or contradiction. It is often used to present a counterargument or to introduce a different perspective ona topic. For example:Although many people believe that technology has madeour lives easier, there are also those who argue that ithas made us more isolated and disconnected from one another.2. The "not only...but also" sentence pattern。
大学作文英语优秀句式
大学作文英语优秀句式Paragraph 1: Daily Life on Campus。
Oh, college life! It's like a whirlwind of activities and learning. You know, I'm always on the go from one class to the next, but it's totally worth it. I mean, just walking down the quad, you can see everyone's faces lit up with excitement or focus. It's like we're all in this together, chasing our dreams.Paragraph 2: Exploring Interests。
Guess what? I found this amazing art class, and it's totally different from what I expected. I thought I'd beall about business and numbers, but this painting thing?It's like I've unlocked a whole new world. Turns out, you never know what you might enjoy until you try it.Paragraph 3: Meeting New People。
Man, I met this cool group of people at the library. We were all studying for the same exam, and before we knew it, we were sharing notes and laughing about how crazy this whole college thing is. I feel like I've found my tribe here or something.Paragraph 4: Overcoming Challenges。
大英赛英语作文句式
大英赛英语作文句式{z}Title: sentence structures in English composition for the Big British ContestIn the Big British Contest, English composition plays a crucial role in assessing the candidates" language proficiency.To write an outstanding essay, it is essential to master various sentence structures to express ideas effectively.Below are some recommended sentence structures for the contest.1.Simple Sentences:A simple sentence consists of a subject, verb, and object.It is the basic building block of any composition.For example: "The sun rises in the east."pound Sentences:A compound sentence joins two or more simple sentences using a coordinating conjunction like "and," "but," or "or." For example: "I love English, but I also enjoy mathematics."plex Sentences:A complex sentence includes a dependent clause and an independent clause.The dependent clause provides additional information about the main clause.For example: "Although I am tired, I will continue working."pound-Complex Sentences:A compound-complex sentence combines elements of both compound and complex sentences.It includes at least two independent clauses and one or more dependent clauses.For example: "I love reading, and I enjoy writing, but I also find traveling fascinating."5.Active Voice:Using active voice makes the writing more direct and engaging.For example: "The teacher teaches the students."6.Passive Voice:Passive voice is useful in emphasizing the action rather than the actor.For example: "The students are taught by the teacher."7.Modal Verbs:Modal verbs express possibility, obligation, or advice.Examples include "can," "should," and "must." For example: "You can ask the teacher for help."8.Adjectives and Adverbs:Adjectives and adverbs enhance the description of nouns and verbs, respectively.For example: "The beautiful garden attracted many visitors."9.Conjunctions:Conjunctions connect words, phrases, or clauses.Some common conjunctions include "and," "but," "or," "because," and "although." For example: "I went to the store because I needed groceries."10.Transition Words:Transition words help to guide the reader through the essay, showing relationships between ideas.Examples include "additionally," "consequently," and "therefore." For example: "She failed the exam, therefore, she decided to study harder."By utilizing these sentence structures effectively, candidates can write clear, engaging, and well-organized essays that impress the judges in the Big British Contest.。
英语万能作文句式模板
英语万能作文句式模板English Universal Essay Writing Sentence Patterns。
Introduction。
Begin with a hook: a startling statistic, a thought-provoking question, or an intriguing anecdote.Provide background information on the topic.State the thesis statement, which presents the central argument of the essay.Body Paragraphs。
Topic sentence:Introduce the main idea of the paragraph.Supporting sentences:Provide evidence to support the main idea.Examples, statistics, research findings, expert opinions, or personal anecdotes.Analysis:Explain how the evidence supports the main idea.Draw connections between different pieces of evidence.Transition sentence:Lead smoothly from one paragraph to the next.Summarize the previous paragraph or introduce thetopic of the next paragraph.Conclusion。
Restate the thesis statement in a different way.Summarize the main arguments of the essay.Offer a concluding thought or call to action.Specific Sentence Patterns。
征文书面通知英语作文万能句型
征文书面通知英语作文万能句型Dear [Recipient's Name],I am writing to inform you of an upcoming essay competition that we believe will be of great interest to you. The [Name of the Organization] is hosting a writing contest themed "The Impact of Technology on Modern Society," and we cordially invite you to participate.The essay should be no less than 1000 words and must be original work. It should provide a thoughtful analysis of how technological advancements have influenced various aspects of our lives, including but not limited to communication, education, and the economy.Here are some key points to consider when crafting your essay:1. Introduction: Begin with a strong opening that clearly states the topic and your perspective on it.2. Body Paragraphs: Discuss the various ways in which technology has transformed our world. Use specific examples and data to support your points.3. Counterarguments: Acknowledge opposing viewpoints and provide a balanced discussion.4. Conclusion: Summarize your main arguments and leave the reader with a compelling final thought.The deadline for submission is [Submission Deadline]. All entries must be submitted electronically to [Email Address or Submission Portal]. Late submissions will not be considered.The winner will be announced on [Announcement Date] and will receive a cash prize of [Prize Amount] along with publication of their essay in our annual journal.We encourage you to share this opportunity with your peers and anyone who may be interested in contributing tothis important dialogue.Should you have any questions or require further information, please do not hesitate to contact us at [Contact Information].We look forward to reading your submissions and wish you the best of luck in the competition.Warm regards,[Your Name][Your Position][Name of the Organization][Contact Information]。
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MCM写作句式参考我国学生数模水平其实很强，但是不可否认，我们在MCM上的成绩确实不尽如人意，和我们的水平应该说并不成正比。
究其原因，不难发现，毕竟MCM用的是西方语，那些所谓的“对错”都是哪些黄头发白皮肤的人说了算，那么当然从语言上我们没法和他们这些NS(Native Speaker)比。
如果国际数模换成是用中文写论文的话，呵呵。
但是我们也必须面对现实，毕竟现在世界上的头号强国还是美国，列强大多数也还是欧美国家，因此现在只能先学好英语，在他们的竞赛里有所突破，力求将来让世界来参与我们的竞赛，到那时就可以用中文好好地秀秀了，呵呵。
在此，谨献上众英语句式，希望能尽量缩小我们与NS语言上的差距，对大家的MCM 有所帮助！愿全体中国人在09MCM中创造新的辉煌！Phrases or clauses frequently used in mathematics（转载）常见的涉及运算的短语或句子1. Differentiate（区分，区别）both sides of the equation and we get...2. Integrate（结合，合并）both sides of the equation and we get...3. Add (A) to (B) and we have…(其中(A) 、(B)为某些表达式，如不等式、等式、方程等，下同) 4．Subtract (B) from (A) and we have …（减掉）5. Multiplying each term of the equation by …, we obtain…6. Dividing the equation through by ..., we have ...(A) and (B) together yield …(A) and (B) together imply …8. Comparing (A) with (B), it is easy to see that …9.Substituting（替代）(A) into (B), we obtain …10. Eliminating (the parameter) t from (A) and (B),we have …11.By introducing a new variable …, we can then rewrite (A) as followsBy introducing a new variable …, we can then rewrite (A) in the following form 12. By a simple calculation, we obtain from (A) …定理证明过程中常见的短语和句子1.下面的句型可用来表达“根据什么即可得到什么”的意思According to definition , it follows …According to hypothesis , it follows …According to asssumptions, it follows …According to theorem(N), it follows …According to lemma (A) , it follows …According to corollary (B) , it follows …According to the remark , it follows …According to the fact that … , it follows …(可以把上面的“according to ”换成“ by” )Since …, it follows …2. 如果一个论断可以通过一些简单运算或简单推理而获得，由于这些运算或推理比较简单，读者可以自行推算，因而只需直接写出论断来，这时可用下面句型(1) It is easy to see that …It is easy to show that …It is easy to prove that …It is easy to verify that …It is easy to check that …(2) It can easily be seen that …It can easily be shown that …It can easi ly be proved that …It can easily be verified that …It can easily be checked that …3.如果所要提及的结论比较显浅，或是众所周知，无需作进一步的证明，这时可用下面句型：(1) It is clear that …It is obvious that …It is evident that …It is well-known that …(2) Clearly, …Obviously, …Evidently,…4.为了证明一个定理有时需要引进辅助函数，这时可用下面句型：Let us first define the function…Let us introduce a new function…Let us consider the function…Let us first investigate the function…Let …Set…Define…Put…Consider…5. 在一个定理中，有几个结论需要证明，其中有些结论比较明显，可不用证明，仅需证明余下结论即可，这时可用下面句型：Since (A) and (B) are obvious, we need only prove ?.Since (A) and (B) are trivial, we need only prove ?.Since (A) and (B) are trivial, it suffices to prove ?6. 为了证明一个定理，有时我们并不是直接去证明，而是证明一个新的论断，一旦新的论断得到证明，已给定理不难由此而得证，这时可用下面句型：以下各句用于新的论断被证明之前：The theorem will be proved if we can show…The result will be proved if we can show…The theorem will be proved by showing that…If we can prove…then the theorem follows immediately以下各句用于新的论断被证明之后：The theorem is now a direct consequence of what we have proved.The theorem follows immediately from what we have proved.The theorem is now evident from what we have proved.It is evident to see that the theorem holds.7.在证明过程中，有时要用到一些早已学过的知识或技巧，这时可用下面句子，以提醒读者：Recall that…Notice that…Note that…Observe that…In order to prove the theorem, we need the knowledge of …In order to obtain the following equation, we need…8. 如果需要证明的定理的假设条件是一般条件，但是，只要定理在特殊条件下成立，就不难推出定理在一般条件下也成立，这时仅需要在特殊情况下去证明定理就够了，为此可用下面句型：Without loss of generality, we may consider…Without loss of generality, we may assume…Without loss of generality, we may prove the theorem in the case…It suffices to prove the theorem in the case…We need only consider the case…For simplicity, we may take…9. 如果待证的论断可用以前用过的相似的方法或步骤进行证明，则可用下面句型：This theorem can be proved in the same way as shown before.This statement can be proved in a similar way as shown before.This theorem can be proved by the same method as employed in the last section.This theorem can be completed by the method analogous to that used above. Using the same argument as in the proof of theorem N, we can easily carry out the proof of this theorem.We now proceed as in the proof of theorem N.We shall adopt the same procedure as in the proof of theorem N.10. 如果我们用的是反证法，则其开头及结尾可用下面句型：If the statement (or assertion, conclusion) were false(or not true, not right)then…If the assertion would not hold, then…This is contrary to…This contradicts the fact that…This leads to a contradiction.11. 表示定理已证毕或者把前面所证的总结为一结论We have thus proved the theorem.This completes the proof.The proof of the theorem is now completed.It is now obvious that the theorem holds.Thus we have derived that …Consequently, we infer that…Thus we conclude that…Thus we are led to the conclusion that …Thus we arrive at the conclusion that …Thus we can summarize what we have proved as the following theorem.12. 其它There exist(s)…such that…We claim…in fact…We are now in a position to…If otherwise…Provided that…。