Tootfinder

Method of Weighted Words on Cylindric Partitions
Burcu Barsak\c{c}{\i}
https://arxiv.org/abs/2507.02435 https://arxiv.org/pdf/2507.02…

Method of Weighted Words on Cylindric Partitions
We study the generating functions of cylindric partitions having profile $c=(c_1, c_2, \ldots, c_r)$ with rank $2$ and levels $2, 3$ and $4$. As a result, we give expressions alternative to Borodin's formula for these generating functions. We use the method of weighted words which was first introduced by Alladi and Gordon, later was applied by Dousse in a new version to prove some partition identities and to get infinite products. We adopt the method to our subject with a more combinatorial app…

MC-PDFT Nuclear Gradients and L-PDFT Energies with Meta and Hybrid Meta On-Top Functionals for Ground- and Excited-State Geometry Optimization and Vertical Excitation Energies
Matthew R. Hennefarth, Younghwan Kim, Bhavnesh Jangid, Jacob Wardzala, Matthew R. Hermes, Donald G. Truhlar, Laura Gagliardi
https://arxiv.org/abs/2506.03…

MC-PDFT Nuclear Gradients and L-PDFT Energies with Meta and Hybrid Meta On-Top Functionals for Ground- and Excited-State Geometry Optimization and Vertical Excitation Energies
Multiconfiguration pair-density functional theory (MC-PDFT) is a post-MCSCF multireference electronic-structure method that explicitly models strong electron correlation, and linearized pair-density functional theory (L-PDFT) is a recently developed multi-state extension that can accurately model conical intersections and locally-avoided crossings. Because MC-PDFT and L-PDFT rely on an on-top energy functional, their accuracy depends on the quality of the on-top functional used. Recent work has…

Quotes that have evolved over time to add a twist

Imitation is the sincerest form of flattery that mediocrity can pay to greatness.
The original first half is by Charles Caleb Colton, Lacon: Or, Many Things in Few Words: Addressed to Those who Think (1820).
The second half was made up by Twitter and then falsely attributed the entire quote to Oscar Wilde, it's still a great addition, I think.
Jack of all…

Outbuildings and St. Edmunds Church at Holme Pierrepont Hall, February 2025
#photography #ukphotographer #heritagephotography

"the additional expenditure on the NHS is not about improving our living standards, but about correcting the physical consequences of the appalling food that the neoliberal food supply industry is delivering to us, which is grossly detrimental to our health. We are not, in other words, better off as a consequence of this additional expenditure" -- @…

Neoliberalism is consuming our well-being
As The Guardian has noted: Britain is on track to become a “National Health State” where half of all public spending is allocated to the NHS and social care by the end of the decade, according to a leading thinktank. They added: As the chancellor came under pressure on Thursday to defend her...

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters
Mathukumalli Vidyasagar
https://arxiv.org/abs/2506.11904 https://…

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters
In this paper, we present a unified algorithm for stochastic optimization that makes use of a "momentum" term; in other words, the stochastic gradient depends not only on the current true gradient of the objective function, but also on the true gradient at the previous iteration. Our formulation includes the Stochastic Heavy Ball (SHB) and the Stochastic Nesterov Accelerated Gradient (SNAG) algorithms as special cases. In addition, in our formulation, the momentum term is allowed to vary as a f…

Marina Hyde is a brilliant columnist:
Imagine owning the world’s premier shitposting platform – in fact, having spent $44bn on it, specifically so that your magic mirror would tell you each day that you were the fairest shitposter of all – and then shuffling sheepishly on to your own pixels to mumble something about having gone “too far” with your hurty words.

Lincoln Cathedral, April 2025
#photography #heritagephotographer #documentingplaces #lincoln

Walled garden, Pierrepont Holme Hall, February 2025
#photography #heritagephotography #documentingspace #nottinghamshire

Pierrepont Holme Hall, February 2025
#photography #heritagephotography #manorhouse #shadow