Optimization Simplified
The wordmark is a small puzzle. The italic ƒ is the function, and Fermat, Newton, Euler, Lagrange and Gauss are tucked into the letters. Touch one to see where.
About us
Deeply Rooted in Mathematics
Our Core Belief: Math is for everyone
We think that not only math is beautiful but also has the power to bring absolute clarity to a chaotic world. There is a real opportunity to make applications of rigorous mathematics accessible to everyone. Not every small and medium size business has the resources to deploy the powerful tools made available by all the work done by past and present mathematicians and computer scientists.At Applied Math Group LLC,
we are working to make these tools accessible to everyone.
Our values
We’re committed to serving our customers with integrity and care, and to getting better at it every day.
- 1
Customer Focus
Every decision starts with a simple question: how does this help the businesses we serve? We take the time to understand what our customers need, and we measure our success by theirs.
- 2
Ethical Practices
We hold ourselves to high standards in how we do business. We treat everyone fairly, and make decisions we’d be proud to explain to anyone. Doing right by our customers, our team, and our community is how we work every day.
- 3
Continuous Improvement
Stay curious and keep improving. Technology landscape is evolving fast and we take pride in bringing the latest technology to our customers in responsible manner. We currently are watching developments in quantum computing as it can drastically improve the way we approach optimization problems.
Credits
Just as optimization problems are hiding in plain sight, names of some of the great mathematicians who have greatly contributed to optimization field are hiding in our logo.
This is our tribute to the great mathematicians who made all of this possible.
ƒThe objective function
minimize ƒ(x)Every optimization problem starts with a function to minimize or maximize.
In the logo: The italic ƒ is the typographic symbol for a function.
Fermat17th century
∇ƒ(x*) = 0At an optimum the function stops changing. Fermat's stationary-point idea is the first condition every optimizer checks.
In the logo: “Fer”: the first letters of his name.
Newton1643-1727
x ← x − ƒ(x) / ƒ′(x)Follow the tangent line to where the function crosses zero. Newton-type methods sit inside many solvers.
In the logo: The amber tangent line touching the n.
Gauss1777-1855
min Σ rᵢ²Least squares: fit a model by minimizing squared residuals. Gauss-Newton extends it to nonlinear problems.
In the logo: The G hidden in the O. The missing bar slides in on hover.
Euler & LagrangeEuler 1707-1783 · Lagrange 1736-1813
∂L/∂y − d/dx(∂L/∂y′) = 0∇ƒ = λ∇gEuler founded the calculus of variations: finding the function that minimizes an integral. Lagrange refined it into the Euler–Lagrange equation, then added multipliers for constrained problems.
In the logo: The e is set in its own letterform as a nod to Euler’s number, and the L hidden in its indigo curve is Lagrange.
And many morea long line of ideas
Cauchy's gradient descent, Dantzig's simplex method, the Karush-Kuhn-Tucker conditions and Nesterov's acceleration, among the many ideas every modern solver stands on.
In the logo: The amber line underneath: the thread that connects them all.
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