This unique book provides a new and well-motivated introduction to calculus and analysis that are historically significant fundamental areas of mathematics and widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as ...
In mathematics, quadrature is a historical term which meansthe process of determining area. ... Quadrature problems served as one of the main sources of problems in the development of calculus, and introduce important topics in mathematical analysis. What is meant by quadrature process in mathematic...
BUT the sequence of calculus topics in the first edition is much more conducive to homeschooling by someone like me than the second edition. Note: I think the second edition is geared for AP takers. We will not take the AP tests. I am not a fan of them. Too “box-like.” However,...
What does calculus mean and what is it used for? Is a power set uncountable? What do brackets mean in math? What makes monomials like terms? What does ^ stand for in math? What does BEMDAS mean in math? Why is 2 raised to the zero power 1?
The number of computations is only increased by a log of the input value. So in this case, assuming each computation takes 1 second, the log of the input n is the time required, hence log n. That's the gist of it. They reduce the maths down so it might not be exactly n2 or...
What is an even monomial function? Provide two examples that demonstrate the root law of two-sided limits. Define with example. Scalar What do we mean when we say that two functions (y_1)(x) and (y_2)(x) are linearly dependent?
What is Machine Learning? Even though there are various Machine Learning examples or applications that we use in our daily lives, people still get confused about Machine Learning, so let’s start by looking at the Machine Learning definition. In layman’s terms, Machine Learning can be defined...
It’s also worth pointing out again that there are inevitably “algorithmic limits” to what the neural net can “pick up”. Tell it “shallow” rules of the form “this goes to that”, etc., and the neural net will most likely be able to represent and reproduce these just fine—and...
Mathematically, the p-value is calculated using integral calculus from the area under the probability distribution curve for all values of statistics that are at least as far from the reference value as the observed value is, relative to the total area under the probability distribution curve. ...
Mathematically, the p-value is calculated using integral calculus from the area under the probability distribution curve for all values of statistics that are at least as far from the reference value as the observed value is, relative to the total area under the probability distribution curve. Sta...