Articles — Math

We compare major factor models and find that the Stambaugh and Yuan (2016) four-factor model is the overall winner in the time-series domain. The Hou, Xue, and Zhang (2015) q-factor model takes second place and the Fama and French (2015) five-factor model and the Barillas and Shanken (2018) six-factor model jointly take third place. But the pairwise cross-sectional R2 and the multiple model comparison tests show that the Hou, Xue, and Zhang (2015) q-factor model, the Fama and French (2015) five-factor and four-factor models, and the Barillas and Shanken (2018) six-factor model take equal first place in the horse race.

This is a handout about simple harmonic motion.

Sejarah matematika tidak bisa dilepaskan dari penemuan dan pengembangan bilangan imajiner. Saat ini bilangan imajiner masih digunakan secara luas dalam berbagai bidang, baik untuk keperluan teoritis maupun praktis. Tetapi sedikit orang yang mengetahui kisah dibalik pengembangan bilangan ini yang telah dipenuhi dengan petualangan dan teka-teki. Juga tidak banyak orang yang mengetahui persentuhan penting bilangan imajiner (atau bilangan kompleks) dengan Landasan Matematika, yang memiliki kaitan penting dengan teori filsafat, ilmu logika dan uraian latar belakang sejarahnya.

Sobre a fórmula do laplaciano

Proofs for Analysis class Lemma 1.21

Can there be a polynomial with infinite solutions? If so, would it be a polynomial? Also, would it have an infinite solution set? Let's find out.

A proof of the value for Riemann's zeta function of two using integration of a summation, and product and series expansions of the sine function.

A note on gradient-based optimization.

Based on a guest lecture at Instituto Superior Técnico (University of Lisbon), I use calculus and abstract algebra to derive the Fourier Tranform using the Fourier Series.