Outrageously Funny Word Dictionary :: Particularize

👉 In mathematics, "particularizing" is a process in which one applies knowledge or understanding to a specific instance of something. This can be done by identifying and explaining properties that are unique to a particular case. For example, if you're working with a mathematical model of a physical system, you might identify the properties that apply only within a specific region of space (for example, inside a certain volume). In this context, "particularizing" means using knowledge about how things behave in this

particularizes

👉 In mathematics and computer science, a particularizer is a function that maps an object to its unique representation as a polynomial. It allows one to manipulate polynomials in a way that respects the coefficients, leading terms, and variable names of the original polynomial. Specifically, it acts on polynomials over a field or ring by replacing each term with its coefficient. For instance, if we have a polynomial f(x) = ax^3 + bx^2 + cx + d, then the particularizer

particularizer

👉 In mathematics, a particularized object is an object that has only certain properties and cannot be represented by other objects. For example, in geometry, a particularized point is one that has exactly two coordinates (x and y) and is at exactly one of the points on the coordinate plane. In set theory, a particularized element is an element that can be expressed as the union of two or more sets. For example, the set of all odd numbers less than 10 is a particular

particularized

👉 "Par-ticularize" in mathematics refers to the act of finding a specific value or property that is being sought. This can be useful when working with mathematical models, equations, and other structures that have multiple variables or unknowns. It involves identifying one variable at a time from among the others, focusing on what makes each part of the equation or formula unique. For example, in a system of linear equations, you might find that a particular value of x is needed to solve for y.

particularize

👉 In "particularized," someone who specializes in something very particular is quite interesting. Here's an example:

"Hey, I'm part of the specialized group that studies everything from psychology to nutrition." "Ugh, I feel so specific about my area of expertise! It's like we're all experts at one thing or another."