Some decisions never survive being explained out loud. You know why you trust someone, why a place feels like home, why you ...
Two-dimensional (2D) perovskites are increasingly recognized as promising candidate materials for the next generation of ...
Megan McArdle, who wrote a commentary on June 16th, talked about character for both parties, naming Graham Platner, Paxton, ...
Almost every material expands when heated. Well-known examples include railroad tracks and concrete roadways, which feature visible expansion gaps to accommodate this effect. However, thermal ...
A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...
In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...
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More and more examples of rational functions

👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the ...
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules ...
Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...
Harvey C. Mansfield, who retired in 2023 after 61 years on the Harvard faculty, is the best lecturer I’ve ever heard. When I was in graduate school two decades ago, attendance in his courses routinely ...
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Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...