The following are some ways to animate the sorting algorithm:
** 1. Manual implementation through a specific train of thought (Take Bubble sort as an example)**
1. ** Slow down the sorting process (but there is a problem)**
- The initial idea was to pause or slow down the javelin to show each step of the sorting. For example, pause every loop for a period of time (for example, 300ms), but there was no function like sleep() in javelin to directly pause.
- One way was to do something irrelevant inside the loop, such as using while (true) to keep executing an empty operation. However, although this method could slow down the sorting process, it was very resource-consuming. The DOM would not change during the sorting process until the sorting was completed. However, when you set the breakpoints, you can see the sorting changes step by step. This may be because the operation consumes too much resources and the browser can't free up resources to perform the DOM operation. The real DOM operation is after the execution of the js code, so this way of slowing down the javelin sorting doesn't achieve the purpose of displaying the animation well.
- Another way to pause javelin was to use AJX synchronization requests and timeouts. That is, place an AAjax request (sync request) at the place where you want to stop, and then set a time out (the time out is the time to pause). To prevent the server from returning an AJaX request before the request timed out, a program similar to sleep() could be run on the server side to ensure that the AJaX request would not return. It would directly time out and then return to the loop. However, this was only an assumption. He needed to try it out further.
2. ** Using Closures and Timers **
- This idea didn't need to slow down the sorting process. Instead, it used a closure to buffer the changes in the array during the sorting process, and then used setTimeOut to determine the order in which the state of each array was displayed. Put something similar to the following code in the sort loop: (function () {vartheArr = arr.slice();//a backup of the current array state setTimeOut(function () {bubbleSortDom(theArr);//sort the DOM operation.
** 2. Make use of existing projects **
There were some projects dedicated to displaying sorting algorithm animations, such as the sort-animation project.
- The structure of the project was simple. There was only a static file. You could use the browser to open the project.
- It had some features, such as the native JS-based implementation with extreme performance; it was a static project that could be used out of the box without third-party dependence; the animation parameters could be customized, and the sorting algorithm logic could also be customized. The project addresses are Github:
Quicksort used the divide and conquer concept, and the process was as follows: First, an arbitrary pivot was selected from an unordered sequence. Then, the pivot was used to divide the sequence into two parts, so that the first part of the elements were less than or equal to the reference element, and the latter part was greater than or equal to the reference element. For example, there is an array 29,10,14,37,20,25,44,15. If the leftmost element 29 is selected as the middle point element, the array can be divided into three parts after processing: (0, 14, 15, 20, 25),(29),(44, 37). The middle node 29 has been arranged and does not need to be processed. After that, the above operations were repeated for the front and back parts using a recursion method. That is, for the array data on the left, you can take another reference value and divide this part of the data into two parts, the left and the right. The smaller value is placed on the left, and the larger value is placed on the right. The array data on the right is similarly processed. By continuously sorting the left part of the array, and then sorting the right part of the array, when the data of the left and right parts were sorted, the entire array was sorted. The time complexity is O(n2) in the worst case, and the average time complexity is O(N*logN). In terms of space complexity, Quicksort is an in-place sorting algorithm that does not require additional space for sorting. The space complexity is O(1). In terms of code implementation (using Java as an example): ```java private static int[] quickSort(int[] array, int left, int right) { if (left < right) { int partitionIndex = partition(array, left, right); quickSort(array, left, partitionIndex - 1); quickSort(array, partitionIndex + 1, right); } return array; } private static int partition(int[] array, int left, int right) { //Set the base value int pivot = left; int index = pivot + 1; for (int i = index; i <= right; i++) { if (array[i] < array[pivot]) { swap(array, i, index); index++; } } swap(array, pivot, index - 1); return index - 1; } private static void swap(int[] array, int i, int j) { int temp = array[i]; array[i] = array[j]; array[j] = temp; } ``` <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following is an example of the Hill sorting algorithm: Suppose we have an array to be sorted: [49, 38, 65, 97, 76, 13, 27, 49*]. 1. First, choose an initial increment, such as d1 = 5. - According to this increment, the array was divided into several sub-sequences. - Subsequence 1:49, 04 (Assuming there is a 04 element in the original array to demonstrate the complete process). - Subsequence 2:38, 49. - Subsequence 3:65, 13. - Subsequence 4:97, 27. - Subsequence 5:76, 49* - Then, he directly inserted and sorted each subsequence. For example, in subsequence 1, 49 and 04 were compared. Since 49 > 04, their positions were swapped, resulting in 04, 49. He did the same for the other sub-sequences. After this sort, the array becomes: 13, 27, 49*, 55, 04, 49, 38, 65, 97, 76 (Here, let's assume that there are 55 elements in the original array to demonstrate the complete process). 2. Then, reduce the increment, for example, d = 3. - Regroup the sub-sequences: - Subsequence 1:13, 55, 49. - Subsequence 2:27, 04, 38. - Subsequence 3:49*, 65, 76. - Subsequence 4:55, 97. - The sequence was directly inserted into the sequence. Using subsequence 1 as an example, if 13 was compared with 55, 13<55 would not swap, and if 55 was compared with 49, 55 > 49 would swap their positions, resulting in 13, 49, and 55. After doing similar operations on the other sub-sequences, the array becomes: 13, 04, 49*, 38, 27, 49, 55, 65, 97, 76. 3. Finally, when increment d = 1. - At this moment, the entire array was a sub-sequence, and they would directly insert and sort it again. Starting from the second element, 04 was compared with 13, 04<13, and their positions were swapped. Then, they were compared and swapped in turn until the entire array was in order. Finally, they obtained: 04, 13, 27, 38, 49*, 49, 55, 65, 76, 97. The basic idea of Hill's sorting was to first cut the entire sequence of elements to be sorted into several sub-sequences and then directly insert them. Then, the increment was reduced in order before sorting. When the elements in the entire sequence were basically in order (the increment was small enough), then all the elements were directly inserted and sorted. Because the direct insert sort was very efficient when the elements were basically in order (close to the best situation), Hill's sort had a greater advantage in time efficiency.
The animation sequence was different in different scenes: - When creating an animation with the matplotLib library in Python, you can use the FuncAnimation class to generate the animation by assigning the update function and the frame generator function, but there is no sorting related content. - In the WPS demonstration, the steps to sort the animations were as follows: open the manuscript, select the slide, click " Animation "-" custom animation ", and select the elements to add effects. The upper left corner of the elements would display the numbers representing the broadcast order according to the order of addition. To re-sort, you could select the elements in the custom animation window on the right and operate according to the " Re-sort " arrow at the bottom right. - Pixar's animation feature could be sorted according to personal preference. For example," Toy Story Series " and " Coco " were ranked at T0," Ratatouille "," Wall·E ", and " Onward " were ranked at T1, but this was based on personal preference and not specific sorting rules. - In manim animation, there were operations related to animation combination. For example, the start time interval between multiple animations could be controlled through LaggedStart, and the sequence execution of multiple animations could be controlled through Succession, ensuring that the previous one was executed successfully before the next one was executed. However, this was not the overall sequence of animations in the traditional sense.
You can use the animation pane to sort animations in PowerPoint or WPS. In PowerPoint, there were two ways to open the animation pane. One was to press the shortcut key Alt-A- C, and the other was to click " Animation-Animation Pane." All the animations of the current slide will be listed in the animation pane. The animation number indicates the order of appearance. To adjust the animation order, you can select an animation in the animation pane, then press the left button and drag it. After dragging it to the specified position, there will be a text prompt in the slide. You can also click the up and down arrows at the bottom of the animation pane list to move the animation position. You can also hold down the Shift key and click the left mouse button to move the animation position in batches. In the WPS demonstration, the way to open the animation pane: If the task pane is activated, click the "animation pane" icon in the task pane, or click "animation> animation pane" through the animation tab. After opening the animation pane, you can see all the animations on the current slide. To adjust the animation order, you can select the animation in the animation pane and drag it with the left button, or click the up and down arrows at the bottom of the animation pane list to move it. You can also hold down the Shift key and click the left mouse button to move the animation position in batches.
The following is an example of a reflection summary on the teaching of large classes of mathematical equations: ** I. Achievement of teaching objectives ** 1. ** Knowledge and Skills ** - In the teaching of sorting calculations, the first thing to consider was whether the children had mastered the sorting of calculations according to specific rules (such as from small to big, from big to small, or according to the order of the results of the calculations, etc.). For example, for simple addition formulas such as 1 + 1, 2+1, 3 + 1, etc., observe whether the child can understand the increasing relationship of numbers and correctly sort them. If most of the children could accurately arrange the calculations according to the requirements, it meant that this knowledge had achieved a certain effect. However, if some children had difficulties, it might be because there were problems in comparing the size of numbers or calculating the results of the formulas. They needed to strengthen the practice of basic number calculation and size comparison in the subsequent teaching. 2. ** In terms of process and method ** - In the teaching process, attention should be paid to whether the children learned to use certain methods to sort the calculations. For example, he could calculate the results of each algorithm before sorting them, or he could directly observe the rules of the numbers in the algorithm to sort them. If children relied more on the calculation results to sort, then in the teaching, children could be guided to further explore the rules of the numbers in the calculation, such as the first addend increasing by 1, the second addend changing the rules of the calculation results, etc., to cultivate children's logical thinking ability. At the same time, it was necessary to examine the child's operational ability in the sorting process, such as whether he could arrange the calculation cards correctly. This involved the child's fine hand movements and spatial perception. 3. ** Emotional attitude ** - Observe the interest and participation of the children in the calculation sequence activity. If the child showed initiative and was willing to participate in the sorting game or operation activities, it meant that the design of the teaching activities was more successful in attracting the attention of the child. For example, by setting up interesting situations (such as digital baby queuing, etc.), it could stimulate the curiosity and enthusiasm of children. However, if the child shows boredom or is not focused, the teaching method may need to be adjusted, adding more interesting elements or using different teaching aids to increase the child's enthusiasm. ** 2. Teaching content ** 1. ** Difficulty Level of the content ** - For the children in the upper class, the content of the algorithm sorting needed to be grasped well. If the calculation was too simple, such as a simple addition of numbers within 1 - 5, it might not be able to meet the learning needs of young children and effectively improve their mathematical ability. On the other hand, if the calculations were too complicated, involving large numbers or complex symbols, the child might lose interest in learning because it was difficult to understand. For example, when introducing carry addition or subtract sorting, it was necessary to gradually advance according to the child's actual ability to accept it. First, start with the simple non-carry addition sorting, let the child establish the concept and method of sorting, and then gradually increase the difficulty. 2. ** The content is systematic and coherent ** - The teaching content of the algorithm sorting should be systematic, from simple to complex, from a single rule to multiple rules. For example, they would first sort the numbers according to their size, then sort them according to the results of the calculation, and finally sort them according to some law of the numbers in the calculation (such as the law of arithmetic difference). In the teaching process, it was necessary to ensure the continuity between each link so that the child could naturally transition to the next stage of learning. If there was a lack of cohesiveness in the organization of the teaching content, the child might feel confused and unable to effectively grasp the method of sorting the equations. ** 3. Teaching Method ** 1. ** Teaching Method ** - When explaining the rules of the algorithm sequence, the teaching method was necessary. However, he had to pay attention to the way he taught and the language he used. For the older children, the language should be concise and vivid. For example, when explaining the order of the results from the smallest to the largest, one could say,"We have to line up the small results in front and the big results behind, just like how we line up small animals according to their height." If the teaching was too boring and abstract, it might be difficult for the child to understand the rules of sorting. 2. ** Effect of the Manipulation Method ** - The operation method was very important in the teaching of arithmetic sorting. By letting the children operate the calculation cards to sort, they could deepen their understanding of the concept of sorting. However, he had to pay attention to the guidance during the operation. For example, when providing calculation cards for children to sort, whether or not they were given enough hints and guidance. If the child made more mistakes during the operation, it might be because the explanation before the operation was not clear enough, or the design of the operation material (calculation card) was not reasonable enough, such as the size of the calculation was not clear, the shape of the card was not conducive to the child's operation, etc. 3. ** Integration of gaming methods ** - The game method could make teaching more interesting. For example, they could design a game called "Arithmetic Sequencing Relaying Race". The children would be divided into small groups, and the children in each group would complete the task of sorting an algorithm in turn. However, he had to pay attention to the fairness and balance of competition in the game. If the competition in the game was too intense, some children might feel pressured and affect their learning. If the game was not challenging, the children might feel bored. ** 4. Teaching Resources ** 1. ** Use of Teaching Aids ** - Arithmetic cards were commonly used in the teaching of arithmetic sorting. He had to check whether the design of the calculation card was reasonable, such as whether the font size and color of the numbers were easy for children to recognize, and whether the material of the card was durable. Other than the calculation cards, other teaching materials could also be used, such as digital blocks. Children could use the digital blocks to express the calculations and sort them. If the type of teaching aid was single, it might not be able to meet the needs of children with different learning styles. 2. ** The assistance of multi-media resources ** - In today's teaching, multi-media resources can be used as an effective auxiliary tool. For example, an animation could be made to demonstrate the process of sorting the algorithm, so that children could understand the sorting rules more intuitively. However, it was important to pay attention to whether the content of the multi-media resources was in line with the cognitive level of young children and whether the rhythm of the animation was moderate. If the animation is played too fast or the content is too complicated, the child may not be able to keep up with the rhythm and benefit from it. ** 5. Modification measures ** 1. ** Modifications for targets that have not been achieved ** - If some of the children have not mastered the knowledge and skills of the algorithm sorting, they can provide additional practice materials for these children after class, such as specially designed algorithm sorting exercise books, for individual tutoring. At the same time, in the follow-up teaching, he added some revision sessions on comparing the size of numbers and simple calculations to lay a more solid foundation for the algorithm sorting. 2. ** Upgrade teaching content ** - According to the actual learning situation of the children, adjust the difficulty of the teaching content. If the overall level of the children was high, they could add some complicated calculations or a combination of multiple rules to the content. If the children's ability to accept was weak, they could slow down the teaching progress and explain the basic content in more detail and practice more. 3. ** To improve teaching methods ** - In terms of teaching method, he further optimized the language expression and used more vivid and interesting metaphor to explain the sorting rules. In terms of operation methods, the materials were checked and optimized in advance, and the inspection and individual guidance were strengthened during the operation. As for the game method, the rules and difficulty of the game were adjusted according to the feedback of the children to make the game more attractive and educational. 4. ** Rich teaching resources ** - There were many types of teaching materials. In addition to the calculation cards and the number blocks, they could also make some self-made teaching materials. For example, they could write the calculation on a small card and then string it up so that the child could hang it on the wall in order. In terms of multi-media resources, more targeted animations or videos could be produced according to the learning situation of the children. For example, special explanation animations could be made for the types of sorting that were prone to errors. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Quicksort used the divide and conquer concept, and it was an algorithm for sorting unordered sequences. The process was to select a pivot from the unordered sequence and divide the sequence into two parts by comparison. The first part of the elements was less than or equal to the pivot, and the second part was greater than or equal to the pivot. Then, the above operations were repeated for the two parts until the disordered sequence was arranged into an ordered sequence. Its time complexity is O(n squared) in the worst case, and the average time complexity is O(N*logN). In terms of space complexity, it was an in-place sorting algorithm that did not require additional space for sorting. The space complexity was O(1). As for the quick sort animation, it could be imagined that the array was continuously divided into left and right parts according to the benchmark value. The smaller value was placed on the left, and the larger value was placed on the right. Then, this operation continued for the left and right parts. As the recursion progressed, the entire array was finally sorted. For example, for the array 29,10,14,37,20,25,44,15, if you choose the leftmost 29 as the middle point element, the array will be divided into three parts: (0, 14,15,20,25),(29),(44,37). The middle node 29 has been sorted and does not need to be processed. Then, the left and right parts are quickly sorted, and finally, the array with all elements sorted is obtained. Through the animation, one could see the continuous separation and sorting process more intuitively.
There are many different ways to access and manipulate a database. One of the most common ways was to use the node.js platform. Node.js provides a variety of ways to connect and operate different types of database, such as Mystical, sqlite-based, Access, mongodb-based, and so on. For the Mystical database, you can use the native Mystical driver, Sequelize ORM, or Type ORM to connect and operate. For the sqlite.js database, you can use the sqlite.js library to create, open, query, and modify it in the browser environment. For the Access database, you can use ActivXObject to access and operate. In addition, you can also use the Mongoose library to connect and manipulate the MongoDB database in Node.js. In general, javelin can access and manipulate various types of database through different libraries and framework.
Sorting was an important step in logistics. It was the job of sorting and placing materials according to different rules. In the logistics and storage center, the sorting process usually worked like this. First, the first-level transit station at the destination needed to be unpacked, and then the items would be sent to the second-level transit station. Then, after the items arrived at the Level 2 transit station, they needed to be allocated to the station. The complement staff determined the station according to the address and filled in the corresponding code. Finally, the sorting staff would sort the items according to the code and place them on the corresponding station vehicles. The purpose of sorting was to take the goods out of the shelves or stacks according to the order requirements, and to sort them according to different customers or distribution routes for loading. Intelligent sorting was a development trend of sorting. It used automated equipment to classify and sort items, improving the efficiency and quality of sorting.
Fruit sorting was the process of sorting and grading fruits according to certain standards. At present, fruit sorting technology mainly consisted of mechanical sorting technology based on size and intelligent sorting technology based on machine vision. The sorting technology based on size was mainly mechanical sorting. It was sorted by drum sieve and roller belt sorters. It had the advantages of fast sorting speed and high work efficiency, but it was easy to destroy the external quality of the fruit, and there was a deviation in the sorting results of irregularly shaped fruits. The intelligent sorting technology based on machine vision used a binoculars camera, an infrared sensor, and an improved algorithm to achieve efficient and intelligent sorting of fruits through a combination of software and hardware. This technology could accurately detect the appearance, sugar content, moisture content, and other indicators of the fruit, and use the flexible robotic arm to accurately grab the high-quality fruit to reduce the damage to the fruit. In addition, spectrum-based technology and automatic sorting technology were also applied in the field of fruit sorting. In recent years, the emergence of AI fruit sorters has further improved the efficiency and accuracy of sorting, and can grade the quality of fruits according to multiple dimensions. In general, fruit sorting technology was developing in the direction of intelligence and efficiency.
The vegetable sorting work was the process of sorting, grading, sorting, and packaging the vegetables picked from the farmland according to certain rules. This work process included harvesting and picking, cleaning and removing impurities, sorting and sorting, inspection and quality control, weighing, packaging and tagging, product inspection and other steps. The vegetable sorter needed to divide the vegetables into different categories according to the requirements of the variety, size, appearance, quality, and maturity of the vegetables, and carry out quality testing to ensure that they met the product quality standards. They also needed to weigh, package, and label the product to ensure that the information was accurate. The job of sorting vegetables required attention to detail, quality control and sorting skills, as well as good health, teamwork, and communication skills.