Sanjoy Mahajan’s research while affiliated with Massachusetts Institute of Technology and other places

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Publications (15)


Invariants: Finding constancy in a sea of change
  • Article

February 2023

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42 Reads

American Journal of Physics

Sanjoy Mahajan

Fig. 1. Fall speed using the extreme lumping approximation where the Euler step is the time constant (s). The true curve must share the slope at t ¼ 0 and lie below the lumped curve. But where?.
Fig. 2. Acceleration (nondimensionalized) using the extreme lumping approximation that produced Fig. 1.
Approximate insightful ODE solutions
  • Article
  • Full-text available

December 2022

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44 Reads

American Journal of Physics

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Citations (4)


... This growth rate is exponential and going by the "Rule of 70" (Eq. (1)) (Mahajan, 2021); this annual growth rate is expected to double in 4 years. ...

Reference:

Examining the developments in scheduling algorithms research: A bibliometric approach
When to postpone approximating: The Rule of 69.3ish
  • Citing Article
  • February 2021

American Journal of Physics

... For this task, the modeling of quantum cycles using power-like potentials [10][11][12] can provide an insightful framework to investigate the physical concepts of thermodynamics, such as heat, work and efficiency, on the quantum scale. This is because many physically meaningful potentials can be described by a polynomial function or can be expanded in terms of it. ...

Quantum mechanics in power-law potentials
  • Citing Article
  • June 2020

American Journal of Physics

... where the same sign convention as in Equation (11) was used. The solutions from Section 2.2 are recovered exactly in the limit of γ = 1, which is equivalent to C S = 0 (see also Mahajan 2020). Figure 5(a) shows a range of illustrative solutions. ...

A zeroth power is often a logarithm yearning to be free
  • Citing Article
  • April 2020

American Journal of Physics