# What does it means by orthogonal?

## What does it means by orthogonal?

Definition of orthogonal 1a : intersecting or lying at right angles In orthogonal cutting, the cutting edge is perpendicular to the direction of tool travel. b : having perpendicular slopes or tangents at the point of intersection orthogonal curves.

## Is Pascal orthogonal?

Orthogonal programming languages Pascal is sometimes considered an orthogonal language, while C++ is considered a non-orthogonal language. Both the features and the programs can be said to be mutually orthogonal.

What is orthogonal in math?

In elementary geometry, orthogonal is the same as perpendicular. Two lines or curves are orthogonal if they are perpendicular at their point of intersection. Two vectors and of the real plane or the real space are orthogonal iff their dot product .

### Does orthogonal mean unrelated?

Orthogonal means relating to or involving lines that are perpendicular or that form right angles, as in This design incorporates many orthogonal elements. However, orthogonal is also sometimes used in a figurative way meaning unrelated, separate, in opposition, or irrelevant.

### Does orthogonal mean independent?

Simply put, orthogonality means “uncorrelated.” An orthogonal model means that all independent variables in that model are uncorrelated. If one or more independent variables are correlated, then that model is non-orthogonal. The term “orthogonal” usually only applies to classic ANOVA.

What is orthogonal data?

## How can you tell if data is orthogonal?

Mathematics and physics

1. In geometry, two Euclidean vectors are orthogonal if they are perpendicular, i.e., they form a right angle.
2. Two vectors, x and y, in an inner product space, V, are orthogonal if their inner product is zero.
3. An orthogonal matrix is a matrix whose column vectors are orthonormal to each other.

## Is Python an orthogonal language?

One of reasons for the elegance of Python is it is an orthogonal language. This consistency in language allows one, after working with Python for a while, to start making informed, correct guesses about features that are new.

Is C++ orthogonal?

C++ is considered to be a non-orthogonal language.

### What does orthogonal thinking mean?

Orthogonal thinking draws from a variety of, and perhaps seemingly unrelated, perspectives to achieve new insights. It is the even momentary blurring of boundaries to see what might emerge.

### Is orthogonal or not?

We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero. A set of vectors S is orthonormal if every vector in S has magnitude 1 and the set of vectors are mutually orthogonal.

What is the difference between perpendicular and orthogonal?

Main Difference. The main difference between Perpendicular and Orthogonal is that the Perpendicular is a property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

## What does orthogonal mean in math?

In mathematics, orthogonality is the relation of two lines at right angles to one another, and the generalization of this relation into n dimensions; and to a variety of mathematical relations thought of as describing non-overlapping, uncorrelated, or independent objects of some kind.

## What makes two vectors orthogonal?

Two vectors are orthogonal to one another if their dot product is zero. A set of vectors is an orthogonal set if each distinct pair of vectors in the set have a dot product of zero. In two dimensions, this means the vectors are perpendicular to one another.

What is another word for orthogonal?

Synonyms for Orthogonal: adj. •square (adjective) square, foursquare, quadrate, rectangular , right-angled. n. Other synonyms: • cosine, cotangent, cos, sine.

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