Ambient Noise <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>H</mi> <mo>/</mo> <mi>V</mi> </math> Spectral Ratio in Site Effect Estimation in La Mesa de Macaracas, Panama

The effect of math education on increasing math skills in children with autism using ABA method

Objectives: Mathematics is one of the most important areas of the educational structure for students with severe and multiple disabilities, including autism. Acquiring math skills for children with autism is much more difficult than reading and writing. These children have more difficulty processing mathematical information than reading and writing. Limitations in the field of identifying effec...

The nonsense math effect

Mathematics is a fundamental tool of research. Although potentially applicable in every discipline, the amount of training in mathematics that students typically receive varies greatly between different disciplines. In those disciplines where most researchers do not master mathematics, the use of mathematics may be held in too much awe. To demonstrate this I conducted an online experiment with ...

Math 206: Banach Algebra and Spectral Theory

Math 241b Functional Analysis - Notes Spectral Theorem

We present the material in a slightly different order than it is usually done (such as e.g. in the course book). Here we prefer to start out with an abelian C∗-algebra A (say, the algebra C∗(a) generated by a normal operator a ∈ B(H)) and construct from it the spectral measure. This is done as follows: We know that A is isomorphic to C(X), the algebra of continuous functions on a compact set X....

Math 108b: Notes on the Spectral Theorem

For a general vector space V , and a linear operator T , we have already asked the question “when is there a basis of V consisting only of eigenvectors of T?” – this is exactly when T is diagonalizable. Now, for an inner product space V , we know how to check whether vectors are orthogonal, and we know how to define the norms of vectors, so we can ask “when is there an orthonormal basis of V co...