“Doing NSM analysis is a demanding process and there is no mechanical procedure for it. Published explications have often been through a dozen or more iterations over several months” — (Heine, Narrog, and Goddard 2015)

Approach and XD

Introduction and Theory

The Natural Semantic Metalanguage (NSM) approach (Wierzbicka 1974) is a long-standing hypothetical theory in structural semantics which claims that all human languages share a common set of primitive lexical units—usually words, but, in some languages, short connected phrases—through which all other words in each language can be defined.

NUS Secondary School Other Duties

• AP Statistics Index
• AP Phys C Mech Index
• AP Phys C EM Index
• Tuning Forks
• bioinformatics
• PKM
• Intersession 2023

NUS-MATH580 QIC

NUS-CS223 Algorithms

Backlog: Finite State Machine

NUS-HIST301 American History

Backlog: New Deal, Franklin D. Roosevelt (FDR), Works Progress Administration, effects of the New Deal, Great Depression, Herber Hoover, disinformation, Guilded Age

The Null Space, also known as the kernel, is the subset of vectors which get mapped to \(0\) by some Linear Map.

constituents

Some linear map \(T \in \mathcal{L}(V,W)\)

requirements

The subset of \(V\) which \(T\) maps to \(0\) is called the “Null Space”:

\begin{equation} null\ T = \{v \in V: Tv = 0\} \end{equation}

additional information

the null space is a subspace of the domain

It should probably not be a surprise, given a Null Space is called a Null Space, that the Null Space is a subspace of the domain.

A number can be any of…

• \(\mathbb{N}\): natural number
• \(\mathbb{Z}\): integer
• \(\mathbb{Q}\): rational number
• \(\mathbb{R}\): real number
• \(\mathbb{P}\): irrational number
• \(\mathbb{C}\): complex number

Consider a general non-linear First Order ODEs:

\begin{equation} x’ = F(x) \end{equation}

Suppose we have some time interval, we have some solutions to the expression given. Is it possible for us to, given \(x(t_0) = x_0\), what \(x(t_0+T)\) would be? Can we approximate for explicit numbers?

The solutions have to exist for all time: blow-up cannot be present during numerical estimations.

Explicit Euler Method

\begin{equation} x(t+h) \approx x_{t+1} = x_{t} + h f(x_t) \end{equation}