- Don’t be fooled by the title. I’m just recording my progress and summarizing
- Why machine learning? For the future
- Why do you want to post, it is difficult to integrate without output, perhaps later posts will be high quality, now is not worth a look
- From there, I hope to finish calculus and current algebra by October 1st. I hope I can keep it up and regret not studying it in college!
- I am a front-end development engineer, the skills are not good, not bad, not much awesome! In the company, elder brother is basically a person when the whole stack use, usually use React, sometimes even products are elder brother!
Princeton calculus
Functions, Graphs, and Lines
- What are functions, rules for converting one object into another
- The input to a function is called the domain
- The output of the function comes from a collection called the codomain
- The range is the set of actual outputs of the function
- A function must assign a unique output to each valid input
- The range is a subset of the codomain, which is the set of possible outputs, and the range is the set of actual outputs
Interval notation
- [1,2] The closed interval is equal to 1<= x <=2;
- (1,2) The open interval is equal to 1< x <2;
- The half-open interval [2,4] or (2,4),∞ represents the infinite division of plus and minus
- Exponential functions and logarithm functions, the main thing to remember is what’s an exponential and what’s a logarithm, an exponential is just a base of how many powers, and a logarithm is just a base of how many powers to get y so a power is just the logarithm of y, only the logarithm of a positive number, right
- The vertical test is that if the graph of a function intersects the X-axis perpendicular more than once, the graph is not a true function
- The inverse function, a function whose output corresponds to only one input, has an inverse function
- The inverse function is equivalent to the cancel function of the function
- If the graph of a function intersects the Y-axis perpendicular more than once, the function has no inverse function
- How to find the inverse function, write y=f(x), find x=f-1(y).
- If the y value of a function corresponds to multiple x values, the inverse function can be found by limiting the domain
- The inverse of the inverse is the original
- The inverse function f minus 1 of f(x) may not be equal to x for the restricted domain