故障排除ComfyUI工作流异常：从异常识别到根源修复的实战手册

MCM/ICM写作模板

摘要第一段写论文解决什么问题问题的重述a. 介绍重点词开头例1“Hand move” irrigation, a cheap but labor-intensive system used on small farms, consists of a movable pipe with sprinkler on top that can be attached to a stationary main.例2……is a real-life common phenomenon with many complexities.例3An (effective plan) is crucial to………b. 直接指出问题例1We find the optimal number of tollbooths in a highway toll-plaza for a given number of highway lanes: the number of tollbooths that minimizes average delay experienced by cars.例2A brand-new university needs to balance the cost of information technology security measures with the potential cost of attacks on its systems.例3We determine the number of sprinklers to use by analyzing the energy and motion of water in the pipe and examining the engineering parameters of sprinklers available in the market.例4After mathematically analyzing the …… problem, our modeling group would like to present our conclusions, strategies, (and recommendations )to the …….例5Our goal is… that (minimizes the time ).解决这个问题的伟大意义反面说明。

如果没有……Without implementing defensive measure, the university is exposed to an expected loss of $

9 million per year.总的解决概述a. 通过什么方法解决什么问题例We address the problem of optimizing amusement park enjoyment through distributing Quick Passes (QP), reservation slips that ideally allow an individual to spend less time waiting in line.b. 实际问题转化为数学模型例1We formulate the problem as a network flow in which vertices are the locations of escorts and wheelchair passengers.例2A naïve strategy would be to employ the minimum number of escorts to guarantee that all passengers reach their gates on time.c. 将问题分阶段考虑例3We divide the jump into three phases: flying through the air, punching through the stack, and landing on the ground.第

三段具体分析在什么模型中/ 建立了什么模型a. 主流模型例1We formulate a differential model to account for the rates of change of these uses, and how this change would affect the overall consumption of water within the studied region.例2We examined the mathematical effects of……. We developed a detailed …… (simulation methodology) to test our ideas and to quantify the differences between (among) different …… (strategies).例3Based on (write your basis .such as the theory of supply and demand), we establish a model (such as differential equation system that includes demand, supply).例4To (write the aims), we establish a criterion (write the criterion).b. 模型非主流例5We build a model to determine how to lay out the pipe each time the equipment is moved.例6We determine …………例7We build a model to determine……….例8We formulate a model for………By analyzing …and examining……分析模型使用什么数据怎么做一般三句话a. 写历史数据例1Using historical data from the United States, we determine initial conditions for our model.b. 写计算机模拟例1this model leads to a computer simulation of catch-can tests of the irrigation system and ……例2Software packing reaches………by calculating and comparing…………c. 运用数据模拟例1to ground this model in reality, we incorporate extensive demographic data and run……例2We fit the modified model to data (such as 1970-

). We conclude that (write the last conclude).d. 讲详细分析例1We physically characterize the system that…例2We provide a strategy (write the logical strategy).例3The …model is (efficient, intuitive, and flexible) and could be applied to…例4To meet the needs of people today without, we establish a criterion of rational(合理的标准) oil allocation(分配).

总结该模型的结果/得到什么结论a. 说明不是最优但能产生作用例We show that this strategy is not optimal but can be improved by assigning different numbers……b. 说明如果用这个模型结果如何例1If Delta Airlines were to utilize the naïve strategy at Atlanta International Airport, the cost would be ……例2We modify the model to reflect (some trend such as exponentially increasing……) and generalize the model to (other field).例3Our results are summarized in the formula for the optimal number B of tollbooths forc通过其上情况的列举得到的结论例For various situations, we propose an optimal solution.d. 得出了结论例1we elicit that a conclusion.例2We conclude with a series of recommendations for how best to…e. 进一步说明其他因素对模型的影响例In addition to the model, we also discuss policies for ……f. 用真实数据检验模型例To demonstrate how our model works, we apply it to …………最后一段写总的结论a. 说明结论的可行性例Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes.b. 说明算法的广泛性例1Our algorithm is broad enough to accommodate various airport concourses, flight schedules, and flight delays.例2Our analysis began by determining what factor impact……, Our conclusions are presented……c. 说明模型可用于其他领域例Since our model is based on…… it can be applied to (other domain).其他承上启下的连接词/常用词组例In addition to the model, we also discuss……

引言部分回顾研究背景常用词汇有review, summarize, present, outline, describe等说明写作目的常用词汇有purpose, attempt, aim等另外还可以用动词不定式充当目的状语来表达介绍论文的重点内容或研究范围常用词汇有study, present, include, focus, emphasize, emphasis, attention等

方法部分介绍研究或试验过程常用词汇有test study, investigate, examine, experiment, discuss, consider, analyze, analysis等说明研究或试验方法常用词汇有measure, estimate, calculate等介绍应用、用途常用词汇有等

结果部分展示研究结果常用词汇有show, result, present等介绍结论常用词汇有summary, introduce, conclude等

讨论部分陈述论文的论点和作者的观点常用词汇有suggest, repot, present, expect, describe等说明论证常用词汇有等support, provide, indicate, identify, find, demonstrate, confirm, clarify推荐和建议常用词汇有suggest, suggestion, recommend, recommendation, propose, necessity, necessary, expect等。

摘要中常用的词语汇critical 至关重要的algorithm 运算法则a method of evaluating 评价方法appropriate 近似的consider 考虑configurations 布局optimal 统一的maximize 使…最大化strategy 策略parameter 参数主要的决定因素accuracy 精确性strengths and weaknesses 优点和缺点contact 相关的contract 建立构造calculate 计算establish 建立formula 公式modify 改进rational 合理的countermeasure 对策criterion 标准准则

Assumptions假设引出We make the following assumptions about……process in this paper.不考虑因素例1We do not take into account interactions between factors.例2The influence of …can be neglected例3…is “ideal” in …, …can be neglected.为了简化模型之后反驳不正确但是合理例1In fact in realityfactors effect each others, but in order to simplify the model ,we ignore the interactions between factors.例2In fact in reality factors effect each others, but in order to simplify the model ,we ignore the interactions between factors.近似例1……can be approximated as a liner function of ….例2 …are assumed to be the same. In practice, there is a slight difference.例3……can be approximated as a liner function of ….细致考虑可附原因例1An airport consists of 1 to 10 concourses, each of with consists of 2 to 50 gates. Gates in the same concourse are generally located close to one another, while the travel time between concourses can be quite lengthy. Hence, we assume that inter-concourse travel is much lengthier than intra-concourse travel.例2A average fast walking speed is 250ft/min(3mph), but average speed when arms are immobilized (as when pushing a wheelchair) is only 180 ft/min (2 mph) [Gross and Shi 2001]. We assume that an escort walks at these speeds.例3An escort can operate only one wheelchair at a time. U.S. Dept. of transportation guidelines discourages leaving WPs unattended. Hence, the escort takes a WP to the connecting flight and remains until the flight leaves.直接定义(假设)例1To measure the……,we define……例2Yearly industry statistics can be used valid.例3Sth may be represented by例4….are independent and randomly distributed

总结Additional assumptions are made to simplify analysis for individual sections. These assumptions will be discussed at the appropriate locations.

公式由假设得到公式We assume laminar flow and use Bernoulli’s equation:由假设得到的公式公式Where 符号解释According to the assumptions, at every junction we have 由于假设公式由原因得到公式Because our field is flat, we have公式, so the height of our source relative to our sprinklers does not affect the exit speed v2 由原因得到的公式公式Since the fluid is incompressible(由于液体是不可压缩的), we have公式Where公式用原来的公式推出公式Plugging v1 into the equation for v2 ,we obtain 将公式1代入公式2中得到公式Putting these together(把公式放在一起), because of the law of conservation of energy, yields公式Therefore, from (

,(

,(

, we have the ith junction由前几个公式得公式Putting (

-(

together, we can obtain pup at every junction . in fact, at the last junction, we have公式Putting these into (

,we get把这些公式代入1中公式Which means that theCommonly, h is aboutFrom these equations, 从这个公式中我们知道we know that ………引出约束条件Using pressure and discharge data from Rain Bird 结果,We find the attenuation factor 得到衰减因子常数系数 to be公式计算结果To find the new pressure ,we use the ( 0

,which states that the volume of water flowing in equals the volume of water flowing out : 为了找到新值我们用什么方程公式Where () is ;;Solving for VN we obtain (公式的解)公式Where n is the ……We have the following differential equations for speeds in the x- and y- directions:公式Whose solutions are 解公式We use the following initial conditions ( 使用初值 ) to determine the drag constant:公式根据原有公式We apply the law of conservation of energy根据能量守恒定律. The work done by the forces is公式The decrease in potential energy is 势能的减少公式The increase in kinetic energy is (动能的增加)公式Drug acts directly against velocity, so the acceleration vector from drag can be found Newton’s law Fma as : (牛顿第二定律)Where a is the acceleration vector and m is massUsing the Newton’s Second Law, we have that F/ma and公式So that公式Setting the two expressions for t1/t2 equal and cross-multiplying gives公式We approximate the binomial distribution of contenders with a normal distribution:公式Where x is the cumulative distribution function of the standard normal distribution. Clearing denominators and solving the resulting quadratic in B gives公式As an analytic approximation to . for k1, we get BcIntegrating, 使结合we get PVTconstant, where公式The main composition of the air is nitrogen and oxygen, so i5 and r

4, soAccording to First Law of Thermodynamics, we get公式Where ( ) . we also then have公式Where P is the pressure of the gas and V is the volume. We put them into the Ideal Gas Internal Formula:公式Where对公式变形Define Anlw to be the ( )定义; rearranging (

produces 将公式变形得到公式We maximize E for each layer, subject to the constraint (

. The calculations are easier if we minimize 1/E.为了得到最大值求他倒数的最小值 Neglecting constant factors 忽略常数, we minimize公式使服从约束条件Subject to the constraint 使服从约束条件公式Where B is constant defined in (

. However, as long as we are obeying this constraint, we can write 根据约束条件我们得到公式And thus f depends only on h , the function f is minimized at 求最小值公式At this value of h, the constraint reduces to公式结果说明This implies暗示 that the harmonic mean of l and w should be公式So , in the optimal situation. ………This value shows very little loss due to friction.结果说明 The escape speed with friction is公式We use a similar process to find the position of the droplet, resulting in公式With t

0001 s, error from the approximation is virtually zero.We calculated its trajectory(轨道) using公式For that case, using the same expansion for e as above,公式Solving for t and equating it to the earlier expression for t, we get公式Recalling that in this equality only n is a function of f, we substitute for n and solve for f. the result is公式As v…, this equation becomes singular (单数的).由语句得到公式The revenue generated by the flight is公式Then we have公式We differentiate the ideal-gas state equation公式Getting公式We eliminate dT from the last two equations to get 排除因素得到公式We fist examine the path that the motorcycle follows. Taking the air resistance into account, we get two differential equations公式Where P is the relative pressure. We must first find the speed v1 of water at our source: 找初值公式

图引用的文献数据所画的图分阶段图的引入First we study the …… (文献)showing …… under the situation.分阶段图的引出The compression process is divided into three(数字) phases, as shown in the figure:The first phase: …… deformation, according to ……; the second phase: …… deformation. The compression grows more slowly and reaches the maximum. The third phase: ……deformation: After compression reaches the maximum, the rate of deformation starts to fall. The unrecoverable deformation goes on increasing. (2003—

引用已有的模型图A model of flow rate for instant total failure is right triangular 【U.S. Army Corps of Engineers 1997】. (see Figure

(2005—53\

通过历史数据作图We validate our model by examining historical HIV rates from prenatal clinics in South Africa between 1995 and 2005(Figure

. (2006—

拟合的图形Figure 1 shows the number of bags still left for the EDS to process at airport A after each minute in airport B, the results are similar. (2003—

自己根据计算所画的图为了…….(目的)我们作了…….图。

To demonstrate better the change in flow rate with time when the breach begins t form, we plot over a shorter range of time in Figure

(2005—

We plot [公式] for values of [变量] from 6 to 13, in steps of

25, together with the best-fit quartic, in Figure 2 (2005—

根据数据拟合的图Fitting (式子) to the data in (表), we get the curve in Figure 1, for the function (公式). (2005—

We use the graph in Figure 1 to simulate the arrival of passengers. (2003—

The simulation model also generates system characteristics for the ETD machines at airport A. These results are shown in Figure

(2003—

根据取值不同画图We take 2001as the starting point, when total remaining oil was

1178bbl.We calculate the time to oil exhaustion under different cases: GDP growing at 10%, 5%, 3%,and 1%.(Figure

For 10%, … ; for 5%,……;for 3%,……;for 1%,……. (2005—213\

用软件如MATLAB画图To solve the differential equations in our model, we use (the ODE45 numerical integrator) in MATLAB on (式子) to find the results in Figure

(2005—

图形的改进Generally speaking, the shape of the target is not too irregular, so we choose five typical shapes of the targets in different sizes. In Figure 3a, we illustrate the maximum section of a typical bean-shaped target, whose maximum dimension is 35mm. Using the skeleton generation algorithm, we get corresponding skeleton shown in Figure 3b. Then we apply the GA-based shot placement algorithm, resulting in three shots for the target: one 14 mm helmet and two 8 mm helmets. The locations and sizes of the helmets in 2D are indicated in Figure 3c, while 3D shot placements are shown in Figure

(2003—

画示意图The irrigation order and position of sprinklers are presented in Figure

(2006—

This algorithm can be viewed in the flowchart in Figure

We define some of the objects found in the chart. (2006—164\

165)

表表的格式表头在上 注红字标记代表可通用的句子在表前对表的来源和数据进行说明例1In Table 1, we summarize the minimum number of escorts needed to reach each service level表的解释部分For each airport, the difference between the Good and Adequate service levels is roughly a factor of two, with slightly increasing returns to scale; with larger scales, the staff are spread more uniformly, so it is less likely that a job will crop up with nobody close enough to take it.例2表的解释部分前面的说出数据的来源然后筛选出比较代表性的数据进行说明We determined absolute and relative criticality values for each country for which all the data used in computing parameters was available (108 countries). We then used relative criticality in selecting our most critical countries, by continent. Had we used absolute criticality it would have given precedence to large nations, despite relatively mild HIV/AIDS situations.例3The table below is the generated irrigation schedule for the repositioning of the sprinklers, given 12-hour work day for a rancher. Each pipe is set in place for 5 hours.例4And some data processing we can get the relevant statistical data information of patient and donor characteristics for the simulation.例5The graft survival rates show in the following UNOS data for kidney transplants in the U.S (based on OPTN data as of

:在表后对表的内容进行说明例1Table 9 shows linear fit parameters for all three models. Note that all three models are well described by a linear equation.例2Using the cellular automata model, we compute waiting time as a function of both the number of lanes and the number of tollbooths. For a fixed L, we compare all values of Ctotal and choose the lowest one. The results of this method are presented in Table

例3According to the above data, we can see that many of the European countries have the high rates of the donor, particularly in Spain. This phenomenon shows that the organ transplant is also hot in Europe. Although the relevant policies and statutes in these countries are less comprehensive than that in U.S, there still a lot what U.S could learn from. Here, we mainly analyze the organ transplant policies in Spain, U.K and Korea this three countries.……The population contained in each region is summarized in table

在表后对数据的内容进行

总结例4As indicated in Table 6, there is fairly good agreement between the recommended number of booths for a typical day and for peak hours. However, we note that the optimal booth number for a typical day never exceeds that for rush hour. Rush hour seems to require slightly more booths than a typical day in order for the plaza to operate most efficiently.Each value in Table 6 is representative of approximately 20 trials. Through these trials, we noted a remarkable stability in our model. Despite the stochastic nature of our algorithm, each number of lanes was almost always optimized to the same number of tollbooths. There were a handful of exceptions; they occurred exclusively for small numbers of highway lanes ( 3 lanes). Integer values are presented in Table 6 only because fractional tollbooths have no physical meaning.表前表后有引入引出 且中间对两表之间进行比较例1表的解释部分We can obtain the data which is involved with the status of the American Organ Transplant from the data banks. We have collected the demand of the various organs in United States to date, the annual donorstransplants and the demand (Here taking the kidney for example, by years 1995-

From the above table1, we can see that the kidney accounts for 73% in the total of the organ transplants. It accounts for a very large proportion as a most important organ which can be transplanted. Therefore, we only need to discuss the status of the kidney transplant here, being able to achieve the analysis and research on the organ transplant.According to the above data, we can get the figures as follow:例2So after many times simulation under the conditions discussed above, we obtain statistic results as follow:表的解释部分By analyzing the above result, we can find: When there are more donors (more resources), the number of transplant will increase obviously, and the matching rate changes only a little; When the network is divided into 11 regions (small networks), the costs of the transport and preservation of the organ will be reduced greatly.例3Table 7 reports the general patient statistics under each regime in the columns. The first column in these tables reports the total live donor transplants as percentage of the population size, which is the sum of next two columns, transplants from own compatible donor and transplants from trades. The forth column is the percentage of patients upgraded to the top of the waitlist as heads of w-chains. The fifth and sixth columns report the quality of matches in the live donor transplants: the risk of graft failure relative to the risk under no-exchange mechanism with population size n400 is reported in the fifth column and the number of HLA mismatches for an average transplant is reported in the sixth column. In the table 8, we change the n into

表与表之间的比较By comparison, we can found that the matching proportion become little and the matching quality will get worse as the total number of the patients decrease. The result is consistent with the reality. The 30% probability of the waiting list or low quality exchange is an adjustable parameter.例4Also, we wish to explore the situation in which there is one lane per booth:例5The parameters we choose to modify are p (probability of advancement), ‘delay’ (number of time steps required to serve a vehicle in a tollbooth), and q (the probability that a flagged vehicle opts to attempt a turn). The results of this analysis are presented in Table

Since we have used six lanes as our standard test case, we continue with this choice here.As indicated in Table 7, our cellular automata model is relatively insensitive to both p and q. Changes of ± 11% and ±

2% in p and q, respectively, had no effect on the optimal number of tollbooths for a six lane highway. On the other hand, increasing the delay time by 25% shifted the optimal number of booths from 10 to 11 (10%). Decreasing the delay by 25% had no effect on the solution. Perhaps additional work could lead to an elucidation of the relation between delay and optimal booth number that could help stabilize the cellular automata model.

优缺点Evaluations of solutions解决方案评估Strengths优点Our main model’s strength is its enormous edibility. For instance,………Including all these factors into a single, robust framework, our model enablesWe developed a theoretical line formation model which agrees without rough data. Our computer model agrees with both despite working on different principles, implying it behaves as we want.This allows us to make substantive conclusions aboutFinally, our model is strong because ofThe Monte Carlo simulation has been perfectly used in our models, and the simulation results are consistent with the reality.We introduced …… in order to improve the exchange quality. The chain rules can 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 .intuitivethe algorithm is efficient ::a corresponding strength of our model is that it would be relatively easy to include a parameter for probability of ……Our model is particularly appropriate for simulation of ……, a problem that naturally lends 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 and sensitivity.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 could handle 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 of a number of variables. If we had chosen to input income, poverty, crime or education data 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 instanceThis allows us to make substantive conclusions about policy issues, even without extensive data sets. By varying parameters, allocation rules, and our program’s objective 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 of the data is fully parameterized, so the model can be applied to……Weaknesses缺点Some special data can’t be found, and it makes that we have to do some proper assumption 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 into account by the line formation model. In real life……Weaknesses of the model included assumptions made for simplicity that likely do not hold. 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 ,our model 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, and our model arguably veers toward over realism.

十二、

总结ConclusionsAs our team set out to come up with a strategy on what would be the most efficient way to 我们提出了一种最有效的方法去解决……The first aspect that we took into major consideration was……. 首先我们考虑到……Other important findings through research made it apparent that the standard 其他重要的是我们通过研究使We have used mathematical modeling in a……to analyze some of the factors associated with such an activity。

为了分析这类问题的一些因素我们运用数学模型……This “cannon problem” has been used in many forms in many differential equations courses in the Department of Mathematical Sciences for several years. 这些年这些问题已经以不同的微分方程形式运用于自然科学部门。

In conclusion our team is very certain that the methods we came up with in 总之我们很确定我们提出的方法We already know how well our results worked for…… 我们已经知道我们结果对……Now that the problem areas have been defined, we offer some ways to reduce the effect of these problems. 既然已经定义了结果我们提出一些方法减少对问题的影响。

There are many methods in existence for……Furthermore each is mostly successful in what is sets out to do. However, all of these seem to 有许多的方法研究……因此最好的是我们要作的然而所有的这些好像……While our approaches and models were effective and produced results, there remain several types of model weaknesses: 我们的方法和模型很有效对结果进行延伸我们的模型也存在些缺点。

We next developed a detailed simulation engine to perform simulations. Our simulations allowed us to …… 我们接下来研究计算我们的模拟允许我们……We have reached several valuable conclusions about the nature of……and some of the possible policy solutions that can be implemented to make it more effective Most importantly, we believe in the absolute necessity of implementing 我们得到关于这类问题的结果一些可能的政策结果使它很有效最重要的是我们认为……相当有必要性。

We use …to …Thus, we recommend…Considering the…In this paper, we examine the results of some fundamental avaricious in structure:……We also wish to tie our exploration of sensitive……we suspect that such system are in general less effective than simpler ones……

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