Linear mixed models (LMMs) are a powerful and established tool for studying genotype–phenotype relationships. A limitation of the LMM is that the model assumes Gaussian distributed residuals, a ...

Genome-wide association studies (GWAS) are a standard approach for studying the genetics of natural variation. A major concern in GWAS is the need to account for the complicated dependence structure ...

Dividing by a fraction tells us how many smaller parts make up a whole number or another fraction. Bar models can help visualise the process of dividing by a fraction. We can also use the 'invert and ...

Ah, math. It’s why I became an English major. But now math is spinning back around and haunting me in the form of my fifth grader. Last night, I found myself dealing with how to multiply fractions as ...

Microsoft Research has developed a new reinforcement learning framework that trains large language models for complex reasoning tasks at a fraction of the usual computational cost. The framework, ...