We first start by reviewing the classical gradient flow (also known as imaginary time (IMT)) method which considers the problem from the PDE standpoint, leading to numerically solve a dissipative equation.
The inadequate emphasis on disaggregating risk into hazard and vulnerability in order to recognize what climate change does and does not influence weakens the document by potentially leading to the interpretation that solving climate change will necessarily reduce disaster risk.
By application of Fourier transforms the boundary value problem for the velocity potential is solved, leading to an integral expression for the generated sound field.
While it is a proper tool for modeling complex system designs involving timing, sequencing, repair, redundancy, and fault tolerance, as the complexity or size of the system increases, so does the number of states of interest, leading to difficulty in constructing and solving the Markov model.
We used to dedicate a lot of time to solving these by hand, but by focusing on developing computational subroutines many complex calculations can now be solved instantaneously leading to much shorter project times for clients.
Many commentators who have studied these issues have come to the conclusion that the barriers are not primarily technical but involve a lack of political will to solve the problems, leading to low public investment in agriculture.
Nearly a decade later this problem persists as people turn to prescription drugs and alcohol to solve their problems, leading to an increase in drug overdoses and alcohol related deaths.
There's growing bipartisan consensus that our current criminal justice system is broken -- we're misusing criminalization and incarceration to solve social problems, leading to a disaster for communities, especially communities of color.
He also admits to being too easily swayed by the demands of leading universities to solve their funding problems.
The danger of a downgrade of the bonds has undermined his efforts to stay a full partner in the Franco-German team that is leading efforts to solve the euro crisis.
