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How to evaluate a logarithm when the answer is a negative exponent

👉 Learn how to evaluate logarithms with fractions. Recall that the logarithm of a number says a to the base of another ...
PNAS

Critical exponents of the spin-glass transition in a field at zero temperature

Spin glasses—systems with disordered magnetic interactions—serve as a fundamental model for studying complexity in physics. While their behavior is well characterized in fully connected (i.e., ...
Frontiers

Collective behavior of higher-order globally coupled oscillatory networks in response to positive and negative couplings

Collective behavior is among the most fascinating complex dynamics in coupled networks with applications in various fields. Recent works have shown that higher-order interactions widely exist in ...
PNAS

Inferring phase transitions and critical exponents from limited observations with thermodynamic maps

Phase transitions play a pivotal role in diverse scientific domains, from metal solidification to water boiling and biological macromolecule folding. However, quantifying these transitions, especially ...
IEEE

Dual-Diagonal QC-LDPC Codes Free of Small Cycles From GCD Framework via Negative Coefficients

Abstract: A novel class of dual-diagonal (DD) quasi-cyclic (QC) low-density parity-check (LDPC) codes with girth eight is proposed. For the exponent matrix of such a DD-QC-LDPC code, the left ...
eLife

The aperiodic exponent of subthalamic field potentials reflects excitation/inhibition balance in Parkinsonism

Periodic features of neural time-series data, such as local field potentials (LFPs), are often quantified using power spectra. While the aperiodic exponent of spectra is typically disregarded, it is ...
Frontiers

On Lyapunov Exponents for RNNs: Understanding Information Propagation Using Dynamical Systems Tools

Recurrent neural networks (RNNs) have been successfully applied to a variety of problems involving sequential data, but their optimization is sensitive to parameter initialization, architecture, and ...
C&EN

Theoretical Study of Radical–Molecule Reactions with Negative Activation Energies in Combustion: Hydroxyl Radical Addition to Alkenes

College of Chemical Engineering, Sichuan University, Chengdu 610065, P. R. China Engineering Research Center of Combustion and Cooling for Aerospace Power, Ministry of Education, Sichuan University, ...
IEEE

Numerical–Experimental Benchmarking of a Probabilistic Code for Prediction of Voltage Holding in High Vacuum

Abstract: In the framework of the program for the construction of 1 MeV-16 MW negative neutral beam injector (NNBI) for ITER, a research and development activity on voltage holding in vacuum has been ...