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<p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">“如果</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">大于等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">，且</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">不等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x.</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">意味着</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">优于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">，就说偏好关系是严格单调的。”</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">在这里，</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y </font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">大于等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">，是不是说前者至少有一个元素大于后者，而其他的元素不比后者的小？如果是的话，那么是不是意味着</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">不等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">？如果前面的成立，就说明</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">大于等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">已经包含了</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">不等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">。那么定义的后面怎么又要加上</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">y</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">不等于</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><font face="Times New Roman">x</font></span><span style="FONT-SIZE: 15pt; FONT-FAMILY: 宋体; mso-ascii-font-family: "Times New Roman"; mso-hansi-font-family: "Times New Roman";">？如何理解偏好关系是严格单调这个定义？</span><span lang="EN-US" style="FONT-SIZE: 15pt;"><p></p></span></p>

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关键词：克莱尔 如何理解 意味着 如何 元素 克莱尔

向量非负，等价于，该向量中每个分量都非负。

向量a不小于向量b，等价于，a-b非负。

向量a不等于向量b，等价于，a-b中至少有一个分量非零。

Ｙ大于等于Ｘ应该是说，Ｙ里的元素都是大于等于Ｘ里的对应元素，可能有些大于，有些是等于，或者都是等于，都是大于．所以加上Ｙ不等于Ｘ的条件就说明不是第三种情况．

帮楼主大大顶了啊

“y 大于等于x，且y不等于x”的数学符号表示是>=（等号在大于号的下面）意思是说对任意的i，yi大于等于xi，但至少存在j使得yj严格大于xj。而“y 大于等于x”的数学符号表示是>_ （横线在大于号下面），然后对于前面的情况，如果我们说“y优于x”，那么我们称偏好关系严格单调。