Dayan Qiuyi Technique and the China remainder theorem
The Dayan Seeking One Technique was an algorithm proposed by Qin Jiushao, a mathematician of the Southern Song Dynasty, in the Nine Chapters of the Mathematical Book. It was mainly used to solve the congruence equation of the first degree, where a and b were prime. The key number of the congruence equation was solved by the division method. The China remainder theorem (Sunzi's theorem) was a theorem about solving a congruence equation. The Dayan Seeking One Technique was a method used to find the key number in the China remainder theorem. For example, in Sun Tzu's Arithmetic Classic, there was the problem of "things do not know the numbers"(Given that the remainder of a positive number divided by several numbers is a certain value, find the remainder of the positive number divided by another number). The Dayan Seeking One Technique could be used to find the key number that satisfied the conditions, thus solving the problem of congruence equations. The calculation process of the Great Derivation Method included dividing the sum of a and b, constructing a series of equations based on the quotient and remainder in the process of division, and finally obtaining the solution of the congruence equation. This algorithm was closely related to the calculation technique of ancient China mathematics. It solved the problem of not retaining the middle process in the process of calculating the greatest common factor, and it was difficult to use the lifting algorithm to solve the problem.
Dayan Sword Technique, Mortal Cultivation
The cultivation technique in << Mortal Cultivation Legend >> was the Great Development Technique, not the Great Development Sword Technique. The Great Development Technique was a cultivation technique that Han Li had obtained from Senior Martial Brother Lin of the Thousand Bamboo School, who was hidden in Yellow Maple Valley. This cultivation method focused on strengthening the power of the divine sense, and could also be used to cultivate the art of splitting one's soul and control puppets. After cultivating, Han Li's spiritual sense had greatly improved, far surpassing cultivators of the same cultivation level. He was able to predict the enemy's movements and defend against most spiritual sense attacks. He could also control more magic tools without chaos. The puppet mechanisms also became a good helper for him, allowing him to fight with ease.
Dayan Seeking One Technique Form
大衍求一术算法每一步的结果是两行三列的数表，其上下两行分别满足一定条件。算法的初始状态设定为：如果满足一定条件则达到要求。设互素的正整数为 \(m\) 和 \(n\)（\(m\gt n\)），前两步算法按 \(m\) 和 \(n\) 分情形说明如下： 情形一： 1. 设 \(m\) 除以 \(n\) 的带余数除法的结果为：\(m = nq_{1}+r_{1}\)（\(0\lt r_{1}\lt n\)）。用所得的商 \(q_{1}\) 分别去乘初始数表中对应于 \(n\) 的两数并把结果加到对应于 \(m\) 的两数上，再把 \(m\) 更新为余数 \(r_{1}\) 得到第1步的结果： \[ \begin{array}{ccc} r_{1}&a_{1}&b_{1}\\ n&c_{1}&d_{1} \end{array} \] 其中数表的第一行满足 \(r_{1}=a_{1}m + b_{1}n\)。 2. 如果 \(r_{1}=1\) 则算法结束。设 \(r_{1}\neq1\) 且 \(n\) 除以 \(r_{1}\) 的带余数除法的结果为：\(n=r_{1}q_{2}+r_{2}\)（\(0\lt r_{2}\lt r_{1}\)）。用所得的商 \(q_{2}\) 分别去乘对应于 \(r_{1}\) 的两数并把结果加到对应于 \(n\) 的两数上，再把 \(n\) 更新为余数 \(r_{2}\) 得到第2步的结果： \[ \begin{array}{ccc} r_{2}&a_{2}&b_{2}\\ r_{1}&c_{2}&d_{2} \end{array} \] 其中数表的第二行满足 \(r_{2}=a_{2}m + b_{2}n\)。 情形二： 1. 设 \(n\) 除以 \(m\) 的带余数除法的结果为：\(n = mq_{1}+r_{1}\)（\(0\lt r_{1}\lt m\)）。用所得的商 \(q_{1}\) 分别去乘初始数表中对应于 \(m\) 的两数并把结果加到对应于 \(n\) 的两数上，再把 \(n\) 更新为余数 \(r_{1}\) 得到第1步的结果： \[ \begin{array}{ccc} r_{1}&a_{1}&b_{1}\\ m&c_{1}&d_{1} \end{array} \] 其中数表的第二行满足 \(r_{1}=a_{1}m + b_{1}n\)。 2. 设 \(m\) 除以 \(r_{1}\) 的带余数除法的结果为：\(m=r_{1}q_{2}+r_{2}\)（\(0\lt r_{2}\lt r_{1}\)）。用所得的商 \(q_{2}\) 分别去乘对应于 \(r_{1}\) 的两数并把结果加到对应于 \(m\) 的两数上，再把 \(m\) 更新为余数 \(r_{2}\) 得到第2步的结果： \[ \begin{array}{ccc} r_{2}&a_{2}&b_{2}\\ r_{1}&c_{2}&d_{2} \end{array} \] 其中数表的第一行满足 \(r_{2}=a_{2}m + b_{2}n\)。 一般地，“大衍求一术”算法每一步的结果，或者形如 \[ \begin{array}{ccc} r_{i}&a_{i}&b_{i}\\ r_{i - 1}&c_{i}&d_{i} \end{array} \] 分别代表等式 \(r_{i}=a_{i}m + b_{i}n\);或者形如 \[ \begin{array}{ccc} r_{i}&a_{i}&b_{i}\\ r_{i + 1}&c_{i}&d_{i} \end{array} \] 分别代表等式 \(r_{i}=a_{i}m + b_{i}n\)。这个过程一直进行下去，终止于数表的上行右列的数满足一定条件（终止的条件是：数表的上行右列的数满足特定要求）。特别地，如果辗转相除的过程终止于下行的 \(r_{k}\)（此时 \(r_{k - 1}=r_{k}q_{k+ 1}\)）需要人为地增加一步“除法”，强制要求余数等于1即：\(r_{k}=1\)。
Dayan Divination Technique, Reciting the Pithy Formula
There was no specific recitation of the Great Divination Method. However, the steps can be summarized as: The number of Dayan is fifty, and the use is forty-nine. Divide into two to symbolize two, hang one to symbolize three, hang four to symbolize four seasons, return to Qi to symbolize leap, five years twice leap, so twice hang before hanging. After the operation of the four battalions (dividing into two, hanging one, dividing four, and returning to odd), after eighteen changes, it finally became a hexagram. In this process, six, seven, eight, and nine were obtained through specific operations. Six was the old Yin, seven was the Shaoyang, eight was the Shaoyin, and nine was the old Yang. Seven and eight did not change the lines, and six and nine changed the lines (old Yin changed to Yang, old Yang changed to Yin).
The specific steps and algorithm of the Dayan Total Number Technique
The Dayan Total Method was an algorithm systematically described by Qin Jiushao, a mathematician of the Southern Song Dynasty, in the Nine Chapters of Mathematics. Its essence was to give a solution to a system of congruence equations. There were two main steps: ** 1. Seeking Destiny ** 1. Qin Jiushao divided the number of questions into four categories: Yuan number, collection number, general number and complex number. 2. Through a specific operation, a question number is transformed into a fixed number. That is, if there is a corresponding relationship that makes a certain number equivalent to another number, solving this relationship can obtain a fixed number. ** 2. Multiplying Rate (Using the Great Amplification Technique)** 1. Shuwen operation: Put the odd number on the upper right, the fixed number on the lower right, and set Tianyuan one on the upper left. Divide the lower right by the upper right first, multiply the quotient obtained by the upper left by one, and put the result in the lower left. Then the upper and lower parts of the right line divide the more by less, divide them by each other, and the quotient obtained is then multiplied by each other and returned to the upper and lower parts of the left line until the last remainder on the upper right is one. At this time, the result obtained by checking the upper left corner is the multiplication rate. If the odd number itself is already one, then this odd number is the multiplication rate. 2. The calculation process represented by letters: divide the odd number and the fixed number, and calculate the relevant value. When it is an even number, the remainder may be 1. If the remainder is 1, the corresponding solution can be obtained. This solution is the multiplication rate. After obtaining the multiplication rate, you can obtain the number of uses, the total number, and the total number. Then you can obtain the desired rate number and obtain the solution of the congruence equations.
Pythagorean theorem
If you wanted to use the Pythagorean theorem to prove that a triangle was a right triangle, you could do the following: For a triangle, let its three sides be a, b, and c (c is the longest side). If a2 + b2 = c2, then this triangle is a right triangle. The principle was that the Pythagorean theorem stated that the sum of the squares of the two right-angle sides of a right triangle was equal to the square of the oblique side. Therefore, when the three sides of a triangle satisfy the above relationship, it can be determined that it is a right triangle. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Remainder of Sins
There were different broadcast versions of Yu Sin's audio novel. One of the versions was broadcasted by Chang Shuxin and could be listened to on the audio novel platform of Tingshu Network. There was also a version broadcasted by Lei Ming. The status was complete (a total of 527 episodes). The format was Mp3/M4a high-definition source code. It could be listened to online or packaged for download. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Cardin's theorem
Cardin's theorem was proposed by the famous French entrepreneur Pierre Cardin. The theorem pointed out that one plus one was not equal to two in terms of employment, and sometimes it might even be equal to zero. This meant the importance and effectiveness of cooperation. An effective cooperation could break through the effect of quantity stacking. In other words, one plus one could not only be equal to two, but it could also be greater than two. However, an ineffective combination could reduce all efforts to nothing. Therefore, companies needed to consider a reasonable combination when allocating talents, so that the members could complement each other and cooperate with each other, give full play to their respective advantages, and achieve effective cooperation.
Morbid theorem novels
He recommended," Who cares about childhood sweethearts when you can cultivate?" It was a Xianxia cultivation novel written by Lin Zhudao. Xu Ji had transmigrated into the body of a third-year student of the Immortal Alliance in the Immortal Cultivation World. His original body had died of Qi deviation due to the words of his childhood sweetheart. After Xu Ji was reborn, he pursued longevity wholeheartedly and was in the limelight at the Immortal Alliance Competition. The Legend of the Heavens of the Siheyuan was not bad either. It was a novel written by Shi Liuguang. Xu Damao started his journey from the courtyard house. There were many characters in the book, such as the female lead Lou Xiao'e, He Yushui, and the supporting role Xu Yang. Each character had a unique setting and rich plot. " I Really Don't Know How to Reasonably Explain " was a mystery detective novel that failed to become a literary work. The main character was a Samsara traveler who wanted to retire but could not. This novel was dark and mysterious. The main character had a unique personality, the plot was full of twists and turns, and the reasoning was reasonable. Although the writing style and concept were average, the plot was extremely attractive. " Entertainment: Counting the Top 10 Breakup Poetry at the Beginning ", a novel written by an urban entertainment star by Hao Li. The protagonist relied on the video editing system to take stock of all kinds of " Top Ten in History " to become an all-around superstar. Unlimited Naruto was Yi Anz's light novel. In Naruto Doujinshi, the main character had transmigrated to the Naruto world where everyone knew the future. Although he faced the crisis of being arrested by Muye, the story had a big brain hole and the male protagonist had strong political power. Although there were some shortcomings in the later stages, it was still considered a masterpiece. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What is a remainder novel?
A remainder novel is simply a novel that is part of the surplus stock of a publisher. It often occurs when the demand for a particular novel is lower than what was predicted during the production process. For example, if a publisher prints 1000 copies of a novel expecting to sell 800 but only manages to sell 500, the remaining 300 copies are remainder novels. Bookstores might then mark them down to clear the inventory. They can offer an opportunity for readers to discover hidden gems that might not have had a large marketing push but are still of high literary quality.