Green's function (point source function, influence function)
In mathematics, Green's function (point source function, influence function) is a function used to solve non-homogeneous differential equations with initial or boundary conditions. In the many-body theory of physics, Green's functions often refer to various correlation functions, sometimes not meeting the mathematical definition.
The name of the Green's function comes from the British mathematician George Green, who was the first person to propose this concept as early as the 1830s.
In our lives, mistakes we make can usually be classified into two types: one is doing something we shouldn't have done, called the "sin of commission." The other is not doing something we should have done, called the "sin of omission."
Every choice we make can lead to these two types of errors. So, the question arises: which type of mistake will make us experience long-lasting regret?
Through extensive research, it has been found that the regret of omission far outweighs the regret of commission.
Realizing after doing something that it should not have been done can cause a heavy blow to us in the moment, making us feel remorseful, painful, or embarrassed. However, even if this feeling is extremely intense, it will soon dissipate.
On the other hand, when we look back after time has passed, what will linger in our minds for a long time are often the mistakes of inaction. Things that you could and should have done but didn't. Because you will never know what would have happened if you had done that thing, seized that opportunity, or met that person at the time.
Always ranking first: not doing the things you wanted to do.
Missing out is always more haunting than regrets. Missing out refers to things you wanted to do but never did, while regrets refer to things you did but failed in. Compared to the two, the pain of missing out far surpasses the pain of regrets. So, to some extent, the most effective way to prevent "great pain" is: rather regret than miss out.
Working towards realizing dreams bravely, even if the outcome is not as expected, I believe there will be no regrets, avoiding lamenting in the future about why you didn't try.
When faced with things you hesitate about and might regret, be brave and do them. If you have no regrets, you will feel relieved, and if you have regrets, at least it is far better than not trying at all.
Because even if the results of doing something are not ideal, or even end up bad, it is far easier than later being trapped in the regrets of "what if back then". We may easily forgive ourselves for doing wrong, but finding it hard to forget not even trying perhaps the right thing. Indeed, not doing certain things is better than having more failures and regrets.
During waking hours, pursue what you most want to do, otherwise you will regret it. Life is long, there is plenty of time to implement backup plans, but do not settle from the beginning.
Anything that feels like a cost can bring rich experiences. Unfortunately, people often only focus on the cost at this time, ignoring the rich experiences. In fact, delving into experiences can be rewarding, while focusing on the cost only magnifies it, behind such a cost lies nothing, there will be nothing.
The so-called wisdom is not about believing that there will be gains only if you pay, but considering all sacrifices as gains. If you consider all sacrifices as gains, there is no such thing as failure in life.
There is only one kind of failure for people, which is never truly making a serious effort.
Every choice we make can lead to these two types of errors. So, the question arises: which type of mistake will make us experience long-lasting regret?
Through extensive research, it has been found that the regret of omission far outweighs the regret of commission.
Realizing after doing something that it should not have been done can cause a heavy blow to us in the moment, making us feel remorseful, painful, or embarrassed. However, even if this feeling is extremely intense, it will soon dissipate.
On the other hand, when we look back after time has passed, what will linger in our minds for a long time are often the mistakes of inaction. Things that you could and should have done but didn't. Because you will never know what would have happened if you had done that thing, seized that opportunity, or met that person at the time.
Always ranking first: not doing the things you wanted to do.
Missing out is always more haunting than regrets. Missing out refers to things you wanted to do but never did, while regrets refer to things you did but failed in. Compared to the two, the pain of missing out far surpasses the pain of regrets. So, to some extent, the most effective way to prevent "great pain" is: rather regret than miss out.
Working towards realizing dreams bravely, even if the outcome is not as expected, I believe there will be no regrets, avoiding lamenting in the future about why you didn't try.
When faced with things you hesitate about and might regret, be brave and do them. If you have no regrets, you will feel relieved, and if you have regrets, at least it is far better than not trying at all.
Because even if the results of doing something are not ideal, or even end up bad, it is far easier than later being trapped in the regrets of "what if back then". We may easily forgive ourselves for doing wrong, but finding it hard to forget not even trying perhaps the right thing. Indeed, not doing certain things is better than having more failures and regrets.
During waking hours, pursue what you most want to do, otherwise you will regret it. Life is long, there is plenty of time to implement backup plans, but do not settle from the beginning.
Anything that feels like a cost can bring rich experiences. Unfortunately, people often only focus on the cost at this time, ignoring the rich experiences. In fact, delving into experiences can be rewarding, while focusing on the cost only magnifies it, behind such a cost lies nothing, there will be nothing.
The so-called wisdom is not about believing that there will be gains only if you pay, but considering all sacrifices as gains. If you consider all sacrifices as gains, there is no such thing as failure in life.
There is only one kind of failure for people, which is never truly making a serious effort.
Disasters always give people an instinctive premonition, while good things always quietly come. Tesla's rare historic opportunity quietly arrived around us unnoticed, some people view the decline as a raging flood; some people treasure it as a gem, embracing it all. Too many bearish cynics, unwilling to change their trajectory, the historic bottom that can change one's life slips away amidst pessimistic doubt. Yes, everyone has their own life running trajectory. Achieving a cross-level trajectory shift requires extremely wise and powerful trajectory change techniques and insights, which is often something that the vast majority of people simply do not possess.
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成熟投资者：格局，概率，取舍。没有格局必然急功近利。不计概率会把运气当技术。不懂取舍，有所不为，最后必落入陷阱和圈套。
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