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陈仁煜 项目管理 X2012153015 Golden time What is the golden time? In my opinion, it is the best time for people to do something, and I find that it can be described with the normal distribution. And what is the normal distribution, maybe most of us are not familiar with it, so I find something about it from the Internet, as follows: In probability theory, the normal (or Gaussian) distribution is a very commonly occurring continuous probability distribution—a function that tells the probability that an observation in some context will fall between any two real numbers. For example, the distribution of grades on a test administered to many people is normally distributed. Normal distributions are extremely important in statistics and are often used in the natural and social sciences for real-valued random variables whose distributions are not known. The normal distribution is immensely useful because of the central limit theorem, which states that, under mild conditions, the mean of many random variables independently drawn from the same distribution is distributed approximately normally, irrespective of the form of the original distribution: physical quantities that are expected to be the sum of many independent processes (such as measurement errors) often have a distribution very close to the normal. Moreover, many results and methods (such as propagation of uncertainty and least squaresparameter fitting) can be derived analytically in explicit form when the relevant variables are normally distributed. The Gaussian distribution is sometimes informally called the bell curve. However, many other distributions are bell-shaped (such as Cauchy's, Student's, and logistic). The terms Gaussian function and Gaussian bell curve are also ambiguous because they sometimes refer to multiples of the normal distribution that cannot be directly interpreted in terms of probabilities. The normal distribution is The parameter μ in this formula is the mean or expectation of the distribution (and also its median and mode). The parameter σ is its standard deviation; its variance is therefore σ 2. A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate. 陈仁煜 项目管理 X2012153015 If μ = 0 and σ = 1, the distribution is called the standard normal distribution or the unit normal distribution, and a random variable with that distribution is a standard normal deviate. The normal distribution is the only absolutely continuous distribution all of whose cumulants beyond the first two (i.e., other than the mean and variance) are zero. It is also the continuous distribution with the maximum entropy for a given mean and variance. The normal distribution is a subclass of the elliptical distributions. The normal distribution is symmetric about its mean, and is non-zero over the entire real line. As such it may not be a suitable model for variables that are inherently positive or strongly skewed, such as the weight of a person or the price of a share. Such variables may be better described by other distributions, such as the log-normal distribution or the Pareto distribution. The value of the normal distribution is practically zero when the value x lies more than a few standard deviations away from the mean. Therefore, it may not be an appropriate model when one expects a significant fraction of outliers—values that lie many standard deviations away from the mean—and Least-squares and other statistical methods that are optimal for normally distributed variables often become highly unreliable when applied to such data. In those cases, assume a more heavy-tailed distribution and the appropriate robust statistical inference methods. Now we are all know the normal distribution better, but what is the relationship between the normal distribution and golden time? In my opinion, the golden time is about the best time to do something in the life just like the normal distribution, such as memory, health, and wisdom and so on. 1. Memory Through the experiment, the medical scientist find that the temperature of people reaches the peak when two hours after getting up in the morning. During these two hours, the brain is in the highly active, agile thinking and efficient, but after the peak temperature, people will feel tired and the learning efficiency is low. Therefore after getting up in the morning, the brain after a night break is help for eliminating the fatigue and not more new memory disturbance, so it is the efficient period of learning and memory. In this golden time, it is suitable for memory. Now let us analyze the situation with the normal distribution function. 陈仁煜 项目管理 X2012153015 The function is , and the graph of function as follows 2. Wisdom After analyzing a lot of IQ scores data, the scientists find that as times goes by people become more intelligent and more experienced when people are in the time from 18 years old to 30 years old, so 18~30 years old is the golden time for the wisdom. Now let us analyze the situation with the normal distribution function. The function is 3. Health , and the graph of function as follows 陈仁煜 项目管理 X2012153015 It is said by the scientist that it is the most healthy at the age of 15 to 30, especially at the age of 15~25 the body is the best condition , it is strong enough to defeat influenza and infectious disease and the body is the most effective for the absorption of nutrients. So at the age of 15~25 is the golden time for health. Now let us analyze the situation with the normal distribution function. The function is , and the graph of function as follows 4. Work At the age of 30~40, the capacity for work improves steadily and gradually mature. Before, people in the workplace are freshmen and lack of experience, and in this age period, the professional ability continues to improve, various aspects are gradually mature. The vast majority of people’s dedication and sense of responsibility is enhanced, and gradually form a meticulous work style. At this time, people generally become the mainstay of the organization at work. At this point, we have the potential to create a brilliant performance. So the age of 30~40 is the golden time for the work. Now let us analyze the situation with the normal distribution function. 陈仁煜 项目管理 X2012153015 The function is , and the graph of function as follows In one word, there are a lot of similar situations about the golden time in the life which can use the normal distribution to analyze, and it is important for us to learn and try our best to make success in the golden time of the life. 陈仁煜 项目管理 X2012153015