Riemann Hypothesis Solution: A Structured Hilbert-Polya Operator Realization via Entropy Geometry حسب Jennifer Bulyaki (22283308)

Stochastic Generalized Active Space Self-Consistent Field: Theory and Application حسب Oskar Weser (7408478)

"…Stochastic-GAS reduced density matrices are stochastically sampled, allowing orbital relaxations via Stochastic-GASSCF, and direct evaluation of properties that can be extracted from density matrices, such as the spin expectation value. Three test case applications have been chosen to demonstrate the flexibility of Stochastic-GAS: (a) the Stochastic-GASSCF [5·(6, 6)] optimization of a stack of five benzene molecules, that shows the applicability of Stochastic-GAS toward fragment-based chemical systems; (b) an uncontracted stochastic MRCISD calculation that correlates 96 electrons and 159 molecular orbitals, and uses a large (32, 34) active space reference wave function for an Fe­(II)-porphyrin model system, showing how GAS can be applied to systematically recover dynamic electron correlation, and how in the specific case of the Fe­(II)-porphyrin dynamic correlation further differentially stabilizes the ³E_<i>g</i> over the ⁵A_1<i>g</i> spin state; (c) the study of an Fe₄S₄ cluster’s spin-ladder energetics via highly truncated stochastic-GAS [4·(5, 5)] wave functions, where we show how GAS can be applied to understand the competing spin-exchange and charge-transfer correlating mechanisms in stabilizing different spin-states.…"

Data analyzed for the article of <b>Evaluating photoplethysmography-based pulsewave parameters and composite scores for assessment of cardiac function: A comparison with echocardio... حسب Kulin (20907929)

"…The SCN4ALL software analyzed the signals, its proprietary algorithm identifies points of interest on the pulse wave from which it calculates over 30 morphological and pulse rate variability parameters online. …"

Data Availability for Barrier Island Response to Energetic Storms: a Global View حسب Valeria Fanti (14857549)

"…</p><p dir="ltr">- Relative storm direction (-): the SWAN propagated direction is modified so that the XBeach input direction ranges from 180° to 360° (nautical convention, clockwise from the north), with 270° waves approaching perpendicularly to the coast. As wave direction is a circular variable, in order to allow its use in correlation analysis it was linearized with the sine function and referenced to 270°. …"