2
votes
Solving ODE system with less equations
Yes, in this case of a linear equation you do not need to solve the original equation as prerequisite to solve the sensitivity equations.
This is of course different for non-linear equations, as each ...
- 128k
1
vote
If $\frac{p}{p+q}$ is a negative real number, what can I deduce about complex $p$ and $q$?
Let $p = a + b i$ and $q = c + d i$ for some $a, b, c, d \in \mathbb {R}$. Then
$$\begin{align} \frac {p}{p + q} & = \frac {a + b i}{\left( a + c \right) + \left( b + d \right) i} \\ & = \frac ...
- 1,470
1
vote
Accepted
If $\frac{p}{p+q}$ is a negative real number, what can I deduce about complex $p$ and $q$?
Say $p/(p+q) = -a$ for some real $a>0$. Then $(1+a)p = -aq$. The left-hand side has non-negative real part, while the right-hand side has non-positive real part. This forces the real part of $p$ ...
- 1,586
1
vote
pow and its relative error
The issue is fundamental and if we are limited to working precision then there is nothing that can be done to avoid it.
You are computing a function $f$ of two variables, i.e., $$y = f(b,x) = x^b.$$ ...
- 13.2k
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