TO claude-ai I wrote: orgnagonal?
CLAUDE:
The term “orthagonal” is not a standard word in English. I assume you may have meant “orthogonal”?
In mathematics, two vectors or objects are orthogonal if they are perpendicular (at a right angle) to each other. More broadly, things can be considered orthogonal if they are independently variable or separable from each other.
Some uses and meanings of “orthogonal”:
– In linear algebra, two vectors that are perpendicular, having a dot product of zero.
– In statistics, two experimental factors or effects that are independent of each other.
– In computer science, orthogonal persistence refers to storing data independently of programs.
– In philosophy, concepts or arguments that are independent or separable from each other.
– Generally, two things that are unrelated, separable, and independently variable.
The core essence is that orthogonal things are at right angles or can vary independently. The term can be used as an analogy in many domains to refer to independence, separability, or perpendicularity.
So in summary, “orthogonal” conveys a geometric metaphor for independence and separation into conceptual dimensions that are at right angles to each other. Does this help explain the meaning and usages you were inquiring about? Let me know if you have any other questions!