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Rubén Sánchez

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Web scraper with Scrapy

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48 …

Basis in a vector space

A vector space basis is the skeleton from which a vector space is built. It allows to decompose any signal into a linear combination of simple …

Inner product in vector space

The inner product is an operation that measures the similarity between vectors.  In a general way, the inner product could be defined as an operation …

Properties of vector spaces

Vector spaces must meet the following rules: Addition to be commutative:

\( x + y = y + x \)

Addition to be distributive:

\( (x+y)+z = x + (y + z) \) …

Linear operator

A linear operator must meet the following conditions: \[ S\{\alpha x

\[n\]

\} = \alpha S\{x

\[n\]

\} \] \[ S\{x

\[n\]

+ y

\[n\]

\} = S\{x

\[n\]

\} + …

Energy and power of a signal

\[ E_x = \sum_{n=-\infty}^{+\infty} \left| x\left

\[ n \\right\]

\right|^2 \] \[ P_x = \lim_{N\to\infty} \frac{1}{2N + 1} \sum_{n = -N}^{N} \left| x …

Not all sinusoids are periodic in discrete time

For a signal to be periodic, it must fulfill the following condition:

\[ x

\[n\]

= x

\[n+M\]

\] where \(M \in \mathbb{Z}\).

If \(x

\[n\]

= …

The uvm_object class

The uvm_object class is the base class for all UVM classes. From it, all the rest of classes are extended. It provides basic functionalities such as …