I am not aware of any proof of the concept, but I can offer a reason. Consider the statement "y is proportional to x". This means that a finite change in x induces a finite change in y. The size of the change in y depends on the size of the change in x. Now to quantify it, we need to introduce the so-called constant of proportionality. It is this constant that determines how big the change in y is for a given change in x.StupidGenius said:My proff mentioned something about proportionality:
"To make an a proportionality into an equality, we must introduce a constant"
Something along those words: my question is why? Can show prove this to me??
A constant is necessary in scientific equations because it represents a fixed value that does not change throughout the experiment or calculation. It provides a reference point for comparison and allows for accurate and consistent results.
The purpose of introducing a constant in a mathematical model is to account for factors that remain constant and do not vary in the given situation. This allows for a more accurate representation of the real world and helps to simplify complex equations.
A constant can greatly affect the outcome of a scientific experiment by providing a baseline for comparison. Without a constant, it would be difficult to determine if the changes in the experiment are due to the independent variable or other factors.
In most cases, a constant cannot be changed in a scientific experiment. This is because the constant is intentionally kept the same to ensure the validity and reliability of the results. However, there may be instances where a constant can be manipulated for specific purposes.
The value of a constant is determined through experimentation and observation. Scientists carefully control and measure the values of all other variables in an experiment, and the resulting data is used to calculate the value of the constant.