A mathematical expression that involves one or more variables, where the highest degree of the variable is two, typically written in the form ax² + bx + c = 0, with a non-zero coefficient for x².
A specific type of polynomial equation characterized by its parabolic graph, representing the relationship between two quantities as they change, often used in various applications of algebra and calculus.
An equation that arises in problems involving areas, projectile motion, and optimization, where solutions may yield zero, one, or two distinct values for the variable depending on its discriminant.
A mathematical equation that incorporates the derivatives of an unknown function, which can describe how that function changes over time or space.
An equation in which the relationship between a function and its derivatives is expressed, often used to model dynamic systems in physics and engineering.
A type of equation that specifies how a certain quantity changes, represented through its rates of change, facilitating the study of phenomena that involve change or motion.
An equation that may involve one or multiple independent variables, categorized as ordinary or partial based on the number of variables involved in the unknown function.
A mathematical statement that shows the equality of two expressions, typically involving one or more unknown variables that can be solved to find specific values.
A representation of relationships between quantities, described in the form of an equality, often used to express fundamental laws in natural sciences or to establish conditions that must be satisfied by certain points or functions.
A structured method or procedure developed to address and solve a particular category of problems, often employing standardized techniques for effective resolution.
Example:
以下の方程式の解を求めよ。
A mathematical framework that consists of two or more equations that share common unknown variables, and the solutions to these equations are the values that make all equations true at the same time.
A system of equations involving multiple variables where the goal is to find the values of the variables that satisfy each individual equation simultaneously.
A collection of equations that need to be solved together because they relate to the same set of unknowns, allowing one to determine their values based on the interrelationships defined by the equations.
Example:
その少年は連立方程式を楽に解いた。
A symbolic representation of a chemical reaction that shows the reactants transforming into products, illustrating the conservation of mass and the stoichiometry of the involved substances.
A mathematical expression that conveys the relationship between different chemical species undergoing a reaction, often including coefficients that indicate the quantities of each substance.
A concise way to depict the process of chemical change, using chemical formulas and symbols to represent the elements and compounds involved, as well as their relative amounts.
A formal notation used in chemistry to summarize the transformation of matter, highlighting both the types of substances involved and their altered states after the reaction has occurred.