https://aclanthology.org/2024.naacl-long.301.pdf

Pararel

Drug Resistance is the process of developing resistance to drugs after some time of use

occurrence of Drug Resistance

Drug Resistance occurs when there’s a mutation that causes macromolecular changes which causes virus to no longer bind the drug but still maintain the same function

The dual space of \(V\), named \(V’\), is the vector space formed by linear functionals on \(V\) (because recall set of linear maps between two vector spaces form a vector space).

constituents

A vector space \(V\)

requirements

\(V’ = \mathcal{L}(V, \mathbb{F})\) , and its a vector space.

additional information

dimension of dual space is equivalent to the original space

\begin{equation} \dim V’ = \dim V \end{equation}

Proof:

Because \(\dim \mathcal{L}(V,W) = (\dim V)(\dim W)\), and \(V’ = \mathcal{L}(V, \mathbb{F})\). Now, \(\dim V’ = \dim \mathcal{L}(V,\mathbb{F}) = (\dim V)(\dim \mathbb{F}) = \dim V \cdot 1 = \dim V\).

Dup15q Syndrome is an autistic syndrome associated with a gain of variant function in UBE3A. It is the opposite of Angelman Syndrome, which is a loss of function result on UBE3A.