“Each teacher teaches up to 2 modules. A module can be taught by 1 to 3 teachers”, what is the cardinality ratio of teacher and module?

The cardinality ratio of teacher and module in this context is M:N, where M is the maximum number of modules a teacher can teach (which is 2 in this case) and N is the range of number of teachers that can teach a module (which is between 1 and 3, inclusive).

相关问题

给定训练语料： " He is a teacher ", " Mary is a student ", " She teaches the course " 根据2元文法求句子" Lon teaches the course "的概率？

首先，我们需要将训练语料转换为2元文法的形式。我们可以使用以下规则来转换：

1. 对于每个单词，将其标记为<word>类别。
2. 对于每个相邻的单词对，将其标记为<word1, word2>类别。

使用这些规则，我们可以将训练语料转换为以下2元文法：

<start> -> <word1, word2>
<word1, word2> -> He is | Mary is | She teaches | teaches the | the course
<word1> -> Lon
<word2> -> teacher | student | the | course

现在，我们可以使用这个文法来计算句子"Lon teaches the course"的概率。我们可以使用以下公式来计算：

P(S) = P(w1) * P(w2 | w1) * P(w3 | w2) * ... * P(wn | wn-1)

其中，S是句子，w1到wn是句子中的单词。

对于这个句子，我们有：

P(S) = P(Lon) * P(teaches | Lon) * P(the | teaches) * P(course | the)

现在，我们需要计算每个单词的概率以及每个单词对的条件概率。我们可以使用训练语料中的频率来估计这些概率。例如，我们可以计算P(Lon)为：

P(Lon) = count(<word1> -> Lon) / count(<start> -> <word1, word2>)

类似地，我们可以计算其他单词的概率和条件概率。最终，我们得到：

P(Lon) = 1/3
P(teaches | Lon) = 0
P(the | teaches) = 1/2
P(course | the) = 1/2

因为"Lon"这个单词在训练语料中没有出现过，所以它的概率是1/3。因为"teaches"这个单词在训练语料中没有与"Lon"这个单词一起出现过，所以它的条件概率是0。最终，我们得到：

P(S) = 1/3 * 0 * 1/2 * 1/2 = 0

因此，句子"Lon teaches the course"的概率为0。这意味着，基于我们的训练语料，这个句子是不合理的。

Recently, the renowned actor Zhang Songwen has sparked a fascinating phenomenon known as "two-way rejection", which has captured the attention of many and inspired the masses. The roots of this phenomenon are complex, with one of the fundamental causes being the fear of failure that plagues most of us. Rejection can instill a sense of inadequacy and a fear of being perceived as a failure, which can be challenging to overcome. However, the concept of "two-way rejection" teaches us that rejection is a natural part of life, and it's acceptable to reject and be rejected in return. This empowers us to recognize that life is not just about failures, but also about perseverance, and striving to achieve our aspirations, which may include fame and fortune. Despite the distractions we may encounter, the concept of "two-way rejection" reminds us to turn away from erroneous opportunities and remain steadfast in our principles and moral compass. While there are both advantages and drawbacks to this approach, "two-way rejection" ultimately inspires us to embrace rejection, learn from it, and emerge stronger and more self-assured. However, it is essential to distinguish between a sound and an unsound opportunity to avoid blindly rejecting the right ones. In conclusion, the concept of "two-way rejection" should be approached with discretion, but it can prove to be a valuable tool in enabling us to adhere to our goals and persevere through rejection. It teaches us to embrace rejection, learn from it, and move forward with confidence, ultimately empowering us to achieve our dreams and aspirations.结合双向拒绝进行内容补充

The concept of "two-way rejection" is not only about rejecting others but also about being willing to accept rejection ourselves. It encourages us to be open to constructive criticism and feedback, which can help us improve ourselves and our skills. By embracing rejection, we can learn from our mistakes, understand our weaknesses, and work on improving them.

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In summary, "two-way rejection" is a powerful concept that can help us overcome the fear of failure and embrace rejection. It encourages us to communicate effectively, be open to feedback, and develop resilience in the face of rejection. By adopting this approach, we can become more self-assured and empowered to achieve our dreams and aspirations.