Dimension of a (finite dimensional) vector space is defined as the cardinality of a basis for the vector space. Since the cardinality cannot be negative, negative dimension for vector spacesis meaningless. How will you get the dimension of fractals? Expressed as an equation, we haveD = log(N...
In machine learning and AI, vector embeddings are a way to represent complex data, such as words, sentences, or even images as points in a vector space, using vectors of real numbers. Carolina FerreiraDeveloper Advocate @ Meilisearch@CarolainFG What is a vector? Vectors are mathematical entities...
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What is R? a. 330 \space \Omega b. 300 \space \Omega c. 200 \space \Omega d. 500 \space \Omega e. 120 \space \Omega Define the term universe. What is meant by term vector resolution? What is a capacitor in simple terms? What would be an example of one?
The Null Space, also known as the kernel, is the set of all vectors that, when multiplied by the matrix, result in the zero vector. The Column Space, also known as the range, is the set of all possible linear combinations of the columns of the matrix. How are the Nul...
What is meant by coincident lines? Use the two path test to prove that \lim_{(x,y) \rightarrow (0,0)} g(x,y) does not exist for the following function a. g(x,y) = \frac{4xy}{ 3x^2 + y^2} \\ b. g(x,y) = \frac{x^3 - y^2}{x^3 + y^2 ...
Magnetic permeability can be calculated by multiplying the permeability constant by the relative permeability of the material. It is often measured in units of H/m or Wb/A.m or N/A^2. What is meant by the permeability of free space? The permeability of free space is a special constant th...
What does "like a fractal" mean, talking smallscale spacetime A poster asks: "What is meant by spacetime is a fractal, fractal like or has a kinky...
Machine learning is a technique that discovers previously unknown relationships in data by searching potentially very large data sets to discover patterns and trends that go beyond simple statistical analysis. Machine learning uses sophisticated algorithms that are trained to identify patterns in data, cre...
Why electric current is a scalar quantity? What does changing electric field induces? Why is the electric field inside a conductor zero? How does the electric field become zero in a conductor? What is meant by irrotational vector field?