Simulate it. Just simulate it.
math.stackexchange.com/questions/466707/what-are-some-examples-of-infinite-dimensional-vector-spaces
This section is about the definition of the dot product over , which extends the definition of the dot product over .
Some motivation is discussed at: math.stackexchange.com/questions/2459814/what-is-the-dot-product-of-complex-vectors/4300169#4300169
Just like the usual dot product, this will be a positive definite symmetric bilinear form by definition.
The identity matrix.
Each elliptic space can be modelled with a real projective space. The best thing is to just start thinking about the real projective plane.
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Real coordinate space, often referred to in the context of Euclidean spaces, is a mathematical construct that consists of points represented by coordinates using real numbers. The most common forms of real coordinate spaces are \(\mathbb{R}^n\), where \(n\) indicates the number of dimensions. 1. **Definition**: - A point in \( \mathbb{R}^n \) is represented by an ordered \(n\)-tuple of real numbers.