\begin{align} \min_{x}\ &c^{\top} x + d \\ s.t.\ &Gx \preceq h \\ & Ax = b \end{align}

• linear objective function
• linear constraints

single our inequality forms a half-space; the entire feasible set is denoted by a series of linear functions—-these linear equalities are each CONVEX. The resulting feasible set, then, is ALSO convex—-meaning any line within the set remains within the set. So, any local minimum is a global minimum.

This is a convex problem where all constrains and objectives are affine.

Let \(X\) denote price and \(Y\) denote volatility. The two objects obey the following process:

\begin{equation} \begin{cases} \dd{X} = \mu X \dd{t} + XY \dd{W} \\ \dd{Y} = \sigma Y \dd{B} \end{cases} \end{equation}

where, \(W\) and \(B\) are correlated Brownian motions with correlation \(\rho\) — \(E[(\dd{W})(\dd{B})] = \rho \dd{t}\).

Let’s work with \(Y\) first. We understand that \(Y\) is some continuous variable \(e^{a}\). Therefore, \(\dv{Y}{t}=ae^{a}\). Therefore, \(dY = ae^{a}dt\). Finally, then \(\frac{\dd{Y}}{Y} = \frac{ae^{a}}{e^{a}}\dd{t} = a\).

Lectures

• SU-EARTHSYS11 APR012026
• SU-EARTHSYS11 APR032026
• SU-EARTHSYS11 Chapter 2
• SU-EARTHSYS11 APR062026
• SU-EARTHSYS11 APR102026
• SU-EARTHSYS11 APR132026
• SU-EARTHSYS11 APR202026
• SU-EARTHSYS11 APR222026
• SU-EARTHSYS11 APR242026
• SU-EARTHSYS11 MAY042026
• SU-EARTHSYS11 MAY062026
• SU-EARTHSYS11 MAY182026
• SU-EARTHSYS11 MAY202026
• SU-EARTHSYS11 MAY222026

Global Electricity Usage

The amount of non Co2 generating sources have increased.

Yet, the absolute value didn’t decrease; the total rate, especially in the rest of the world, has actually significantly increased.

Trees

One way to remove Co2 is to plant trees; but, any oxidative reactions (respiration, being burnt) will reverse this reaction.

Worms!

they chew on leafs and quarts int smaller pieces,

basalt spreading

Take (mayfic) basalt, spread it everywhere, and enhance silicate weathering. From there they