Such as the application of probability. If the probability of success is 20%, it doesn't mean that you can achieve 100% success after doing it five times, but you need to repeat 14 times to make the success rate reach 95%. At the same time, if we do 20 things, the success probability is only 1%, and we need to do it 298 times to reach the success probability of 95%. Therefore, you have to do the right thing over and over again. Only by becoming an expert in a certain field can you be more likely to succeed.
Another example is the relationship between the number of samples and the survey results. We know that the more samples, the closer to the correct result. For primary school students, asking them to do 100 is definitely 100. It is better to let them do 200 questions and get 80 points, because the latter can get more questions and gain more. The experience of life is the same, for example, I am a perfectionist, afraid to take risks, unwilling to do redundant work, and even more unwilling to accept failure; Another colleague, who is not afraid of making mistakes, dares to try more different jobs and has more life experience, so the gap between the two will be great after the precipitation of time.
So we should look at the problem from a dynamic perspective, and common sense of calculus tells us why we should work hard. In the theory of calculus, the displacement of an object is accumulated in a period of time because of acceleration, and the accumulation of velocity becomes velocity, which brings displacement. When the displacement of an object slows down, it will slowly stop. So are our efforts. We will make progress slowly, and if we slack off, we will fall behind.
There is also the directionality of mathematics. The mind does addition in one place, and doing things in its own way is to do subtraction. The greater the angle deviation, the faster and farther you go and the farther you are from the target. If you are in the wrong direction, no amount of effort will only make you drift away.
The other is the change caused by quantitative change. When the amount of temperature changes, the temperature below 0 degrees becomes ice, and the temperature above 100 degrees becomes steam. These are two different liquids, both from the accumulation and loss of quantity.
In fact, life is to face one calculation problem after another, and those who know the mathematical formula and the logic behind it will hand over a high-scoring test paper; People who rely on feelings and subjective guesses have a high probability of failure. If we add personal prejudice and distorted understanding of the facts, our correct rate may not be as good as that of gorillas who randomly choose answers-this is the fact that the book Facts tells us.