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今天小編為大家帶來知識打卡（一百三十二）
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1.內容提要
本期繼續學習復刻論文的文章《消費者後悔預期對競爭型再製造供應鏈權力結構的影響》，上期內容為對於無差異曲線的學習，先從理論基礎入手，了解有關無差異曲線的性質特折。本期在理論知識的理解上我們進行圖形的繪製，來得到與作者一致的圖形，幫助以後的學習。
In this issue, we continue to study the article "The Impact of Consumer Regret Expectations on the Power Structure of Competitive Remanufacturing Supply Chains" from the replica paper. In this issue, we will understand the theoretical knowledge on the graphs to get the graphs consistent with the authors to help the future learning.
本期內容將從思維導圖、精讀內容和知識補充三部分展開。
In this issue, we will start from three parts: mind map, intensive reading content and knowledge supplement.
2.思維導圖
3.精讀內容
一、消費者模式偏好區域圖繪製
根據文本描述，消費者模式偏好區域圖是由於三種權力結構下的無差異曲線分割而成，我們上一期從三維曲面的角度進行了分析為什麼是分割成了三個區域，以及三個區域之間的大小關係為什麼是作者描述的那樣。如果二維平面圖進行繪製，我們首先按照公式將三種權力結構下的消費者剩餘化簡表示出來：
According to the text description, the graph of consumer model preference regions is due to the splitting of the undifferentiated curves under the three power structures. We analyzed in the last issue why it is split into three regions from the perspective of a three-dimensional surface, and why the size relationship between the three regions is as described by the authors. If the two-dimensional plane diagram is plotted, we first represent the consumer surplus under the three power structures in a reduced form according to the formula：
然後，我們使用Matlab軟體進行繪圖，此時得到的三維曲面與我們上一期中的三維曲面圖結果是一致的。
Then, we use matlab software for plotting, and the 3D surface obtained at this time is the same as the result of our 3D surface plot in the previous issue.
通過調整三維曲面的位置以及各曲面的顏色深度，我們可以得到上述曲面之間交界線（明黃色畫線），（1）無領導與OL領導；（2）OL與IRL：
By adjusting the position of the 3D surfaces and the color depth of each surface, we can obtain the junction lines (bright yellow painted lines) between the above surfaces, (1) leaderless and OL leader; (2) OL and IRL:
基於上述兩張圖片，進行整理，我們得到下圖，可以看到CS映射到R和朗姆達平面時，消費者剩餘是將區域劃分為了三個部分，不同區域下，消費者的權力結構偏好不一樣：
Based on the above two images, collated, we get the following figure, which shows that when CS is mapped to the R and Lambda planes, consumer surplus is dividing the region into three parts, and under different regions, consumers have different power structure preferences::
4.知識補充
三維曲面繪圖
使用matlab軟體繪製三維曲面與Mathematica軟體繪製三維曲面使用的函數是不一樣的。Mathematica軟體採取Plot3,但是在Matlab軟體中此函數只能夠繪製三維線條而不是三維曲面，要在Matlab中繪製三維曲面需要用surf或者mesh函數。
3D surface plotting
The functions used to draw 3D surfaces in matlab are different from those used in mathematica, which uses Plot3, but in matlab, this function can only draw 3D lines, not 3D surfaces. Use the surf or mesh function.
下面我們試一下用plot3繪製，就可以看到是有線條構成的。
Here we try to draw with plot3, you can see that there is a line composition.
我們在使用surf繪製，就可以得到平滑的曲面。
We can get a smooth surface when we draw with surf.
今天的分享就到這裡了。
如果您對今天的文章有獨特的想法，
歡迎給我們留言，
讓我們相約明天，
祝您今天過得開心快樂！
That's it for today's sharing.
If you have a unique idea about today’s article,
welcome to leave us a message,
Let us meet tomorrow.
Have a nice day！
參考資料：谷歌翻譯、百度百科，Mathematica軟體，matlab軟體；
參考文獻：
[1]高鵬,杜建國,聶佳佳,陸玉梅. 消費者後悔預期對競爭型再製造供應鏈權力結構的影響[J]. 中國管理科學,2017,25(01):78-87.
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