Outrageously Funny Word Dictionary :: Orthogonalize

👉 In mathematics, an orthogonalized set is a subset of a vector space that contains all its non-zero vectors in the same direction. This means that it has the property that any two vectors in the set are orthogonal to each other. The term "orthogonalized" refers to the fact that these vectors have been transformed into a single, orthonormal basis.

orthogonalized

👉 The term "orthogonalize" in the context of mathematics refers to a transformation or mapping that changes the orientation or direction of vectors. This operation is often used in geometry and linear algebra, where it helps in transforming the coordinates of points on a two-dimensional plane into another coordinate system. In simpler terms, it's like taking a vector (a line segment) and turning it into an "axis" or a new set of axes that are perpendicular to each other. This transformation allows us to work

orthogonalize

👉 The phrase "orthogonalize" is a term used to describe a situation where two things are in direct alignment but neither is at its natural position. The concept is often described as being like having both hands tied behind your back.

An example sentence that uses the term could be: "Well, you know how orthogonality can lead to problems? Imagine if we had two people sitting across from each other and they were so close together that one of them couldn't even touch the other. That's what orthogonality means - it's the state where everything is in alignment but no one's at their natural position. And here's an unsettling example: Suppose you're trying to solve a problem, but you know that the solution doesn't exist or won't work if two things are orthogonal to each other. You don't have enough information or resources to make any sort of decision about where they should be placed. In this situation, what would you do? Would you just sit back and let it go?"