For example, how did a group of scientist comes up with the formula of “Delicious cake= sqrt(Eggs + flour^3)+constant C”. And is it possible for one to develop and implement the thought process into their daily life?
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While I’ve never heard this particular formula, formulas are derived either from previous math (or previous mathematical description of similar phenomena) or from experiments.
First, you identify how many variables you have. For example, let’s say that delicious cake only depend on eggs and flour. Eggs and flour can be quantified (number of eggs, amount of floor) so they can be analyzed mathematically. And they are two, so you have two variables.
Then, you change in a controlled way a single variable and see what happens. For example, if you add one egg while keeping the same amount of floor what happens? What if you remove an egg? What if you double the amount of eggs? What if you have no egg? And so on.
Then, you change the other variable and see what happens.
Then, you change all variables together and see what happens.
In the end, you take all these data and you *interpolate*, which means you start from all these observations and you find the mathematical function that best matches your data.
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