Mathematician solves algebra's oldest problem using intriguing new number sequences
A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.
A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.
Mathematics
May 1, 2025
10
3327
Humans are known to make mental associations between various real-world stimuli and concepts, including colors. For example, red and orange are typically associated with words such as "hot" or "warm," blue with "cool" or ...
How will artificial intelligence affect the distribution of income and wealth this century? After falling through much of the 20th century, income inequality, measured as the fraction of income going to the richest 1% of ...
You can learn a lot from a little slime mold. For Nate Cira, assistant professor of biomedical engineering in Cornell Engineering, the tiny eukaryotic organism provided inspiration for modeling "traveling networks"—connected ...
Mathematics
Feb 26, 2025
0
54
So-called Rayleigh–Bloch waves can release an enormous amount of energy that can damage technical systems under certain circumstances. They only exist below a precisely defined cut-off frequency; above this, they disappear ...
Mathematics
Feb 3, 2025
0
101
Hula hooping is so commonplace that we may overlook some interesting questions it raises: "What keeps a hula hoop up against gravity?" and "Are some body types better for hula hooping than others?" A team of mathematicians ...
Mathematics
Jan 2, 2025
2
1279
Nonlinear dynamical systems are systems that can undergo sudden shifts not due to changes in their state or stability, but in response to the rate at which external conditions or parameters change. These sudden shifts, known ...
We know a knight can move across the chessboard faster than the king, but exactly how much faster? Christian Táfula Santos, a doctoral student in UdeM's Department of Mathematics, has done the math and his proof has been ...
Mathematics
Dec 12, 2024
2
187
A new study reveals it would take far longer than the lifespan of our universe for a typing monkey to randomly produce Shakespeare. So, while the Infinite Monkey Theorem is true, it is also somewhat misleading.
Mathematics
Oct 30, 2024
15
1730
In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras' theorem using trigonometry after entering a competition at their local high school. ...
Mathematics
Oct 28, 2024
0
256