About us · Paradiso, Switzerland
One method, any problem.
A research and development hub of professionals in Paradiso, Switzerland. Work reaches us as a problem, not a specification, from any field. We treat it as research: we look for its structure, test every answer against data and only then write the software.
def damped(s, ζ=0.15, ω0=1.0):
x, v = s
return v, -2*ζ*ω0*v - ω0**2 * x
# start it anywhere: it comes to rest at x = 0- start here…
- overshoots, then less, then less
- same end: x = 0, ẋ = 0
- ζ = 0.15: it swings before it settles
- the channel you clicked, in full
- a weight on a spring, in honey: each ring is one full cycle of position x and speed ẋ
- at ζ = 0.15 each swing is 62% of the one before: after 10, under 1% is left
Why Equilibrium
In motion, and in balance.
Equilibrium is not standing still; it means the forces add up to zero. On a spinning top the floor pushes up as hard as gravity pulls down, and gravity’s torque turns the axis instead of toppling it. In every problem, we look for that balance.
def precession(m, g, r, I, ω):
return m * g * r / (I * ω)
precession(0.1, 9.81, 0.03, 4.5e-5, 2*π*20)
# 5.2 rad/s: twice the spin, half the turning- the axis, leaning 28°
- its tip never falls: it keeps turning
- a nod (nutation)
- τ is sideways: it turns L, it doesn’t tip it
- spun at 20 Hz: round in 1.2 s
- drag sideways over the top: spin it
- nutation: let go from rest, the axis dips, then is carried round; at each cusp it stops
- why faster turns slower: the torque adds the same to L each second; a longer L turns less
- the Earth precesses too, pulled by the Sun and Moon: once round in about 25,800 years
How we work
Four steps, whatever the field.
Frame
We listen until the problem can be written down: what is known, what is uncertain and what would count as solved.
Model
We state it in mathematics, as variables, constraints and an objective, and choose the tools: statistics, optimisation, simulation, machine learning.
Measure
Every model is tested on data it has not seen and reported with its error. Most candidates do not survive; the ones that do are worth building.
Build
What survives becomes software: a tool, a service or a process that runs by itself, written so that others can read and maintain it.
- ‘solved’ is best written as a number: a cost, an error, a time to wait
- one model, many fields: the queue at a counter is the queue in a data centre
- we hold back part of the data and score only on what the model has never seen
- the step most people skip
- each has a figure
Where we are
Paradiso, Switzerland.
Equilibrium Strategies Sagl UID CHE-265.746.241
Record
2014
Equilibrium Strategies Sagl is registered in Paradiso.
2025
The company takes on the Equilibrium brand and starts work with two partners (not named): an advisory firm and a crypto AMC.
2026
The AION waitlist opens; AION is in development. Two working papers, on dynamic time warping PDF (opens in a new tab) and spectral analysis PDF (opens in a new tab).
- weights 5 4 3 2 7 6 5 4: 5·2 + … + 4·4 = 153 and 11 − (153 mod 11) = 1: it checks
- Ticino: the Italian-speaking south
- the last digit: a check, mod 11
Tell us what you are trying to solve.
- P.S. Curious, and rigorous? Join us →
- three lines are enough: what you know, what you don’t and what would count as solved
- or simply write: info@withequilibrium.com