The spelling of the word "more orthogonal" can be confusing for some. The IPA phonetic transcription can help clarify the correct pronunciation: /mɔːr ɔːrˈθɒɡənəl/. In this transcribed form, "more" is pronounced with a long o sound followed by an r sound, and "orthogonal" is pronounced with an "or" sound, a "th" sound, a "g" sound, and a schwa sound. The word "orthogonal" refers to something that is perpendicular or at right angles to something else, and "more orthogonal" means even more perpendicular.
"More orthogonal" is a term used to describe a mathematical or geometrical relationship between two entities that exhibit a higher degree of orthogonality compared to another set of entities. Orthogonality refers to the state of being mutually perpendicular or independent of each other, often used in the context of vectors or vectors spaces.
In mathematics, vectors are considered orthogonal if their dot product is zero, indicating that they are perpendicular and have no component in the same direction. Similarly, in geometry, two lines or planes are orthogonal if they meet at right angles.
When referring to "more orthogonal," it means that the degree of perpendicularity or independence between two entities is greater when compared to another set. This can be interpreted as a stronger or more distinct relationship between the entities in terms of their behavior, properties, or characteristics. For example, in linear algebra, two sets of vectors can be compared in terms of their orthogonality, with one set being considered "more orthogonal" than another if the angle between the vectors is closer to 90 degrees or if the dot product between the vectors is closer to zero.
Overall, "more orthogonal" signifies a higher level of independence or perpendicularity, indicating a stronger and more distinct relationship between entities within a mathematical or geometrical framework.
The word "orthogonal" comes from the Greek words "ortho" meaning "straight" or "right" and "gonia" meaning "angle". It was originally used in mathematics to describe perpendicular lines or angles.
The addition of "more" before "orthogonal" is a comparative form, indicating a greater degree of being orthogonal. It is not a standalone word in itself, but rather a phrase that describes the extent or level of orthogonality.