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The Basic Relation Calculation in Database
This article mainly introduces the basic operations and examples of relational algebra such as union, difference, selection, projection and join.
Compound Interest and 72 Formulation
Compound Interest Formula and The Rule of 72 are commonly used tools in finance for calculating investment growth and estimating the time it takes for an investment to double.
The Problem of Weighing Coins with Balance.
The 'Coin Weight Problem' aims to solve the following mathematical problem: Among N coins, one coin has a different weight. with a balance scale, ensure finding the different coin with the fewest number of weighings.
The Introduction to Bernoulli Number
Introduction, derivation and proof of Bernoulli numbers
System Reliability Model
Outlines computer system reliability, including series, parallel components, and N-modular redundancy.
Equivalence of Rectangular and Trapezoidal Approximations
Discusses the equivalence and error estimation in integrating piecewise continuous functions using rectangular and trapezoidal approximations.
Data Table Relation's Normalization
Introduces functional dependencies, and the database paradigms 1NF, 2NF, 3NF, BCNF, and 4NF. and use examples to explain their concepts and connections.
Taylor Formula, Taylor Theorem, Taylor Series, Taylor Expansion
This article mainly introduces the content and connection between the four concepts of Taylor's formula, Taylor's theorem, Taylor series and Taylor's expansion.
Proof of Faulhaber's Formula
Faulhaber's Formula, which provides a method to compute the sum of the p-th powers of the first n positive integers.
The Catalan Series
The article discusses Catalan numbers, a sequence used in combinatorial problems. It covers their recurrence relation, closed form, and applications in path counting. It provides insights into problem-solving using Catalan numbers.