It has been an exhilarating year in combinatorics research. In early 2023, mathematicians were stunned when two of the biggest problems in the field were solved in as many months. Now, a third major question has fallen with a 14-page proof “that has absolutely all the right ideas,” said Mehtaab Sawhney of the Massachusetts Institute… Continue reading Mathematicians Discover New Way to Predict Structure in Graphs
Computer Scientists Inch Closer to Major Algorithmic Goal
“In other words,” Sun said, “in order to further improve graph isomorphism, group isomorphism is a big bottleneck.” A Problem Transformed When progress on a problem stalls as long as it did for group isomorphism, invention is usually necessary to get unstuck. “When you have a big advance, that should be some indication that there’s… Continue reading Computer Scientists Inch Closer to Major Algorithmic Goal
Military Assistance to Ukraine Is a Rare Success
Last week, the United States reversed its long-standing opposition to sending Ukraine F-16 advanced aircraft to aid its fight against Russia. The Biden administration previously had expressed concerns that the jets would be too sophisticated for the Ukrainians and that providing the American-made aircraft could lead to escalation with Russia. Ukraine’s impressive, continued battlefield success… Continue reading Military Assistance to Ukraine Is a Rare Success
Teaching Your Children the Difference Between Mistakes and Sins
“What if the priest remembers me?” “Will the priest tell other people my sins?” “Wait…I have to go to Confession again?” We’ve fielded these and all sorts of other delightful questions from our oldest children as they’ve prepared for their First Reconciliation and their First Communion. It’s been a powerful experience, as parents, to not… Continue reading Teaching Your Children the Difference Between Mistakes and Sins
The All-New Discreet Messenger Bag
The ITS Discreet Messenger Bag® is your ultimate covert EDC companion, integrating technology and durability in a way that’s unmatched by other bags on the market. Our next generation design offers more features and functionality than ever before, while blending in seamlessly with your surroundings. For quick access to your components, the lid of the… Continue reading The All-New Discreet Messenger Bag
Pam Coronado, Psychic Detective (DC Beltway Snipers Case)
Podcast: Download MYS264: The DC Beltway Snipers case in 2002 resulted in the capture of the perpetrators, but there was another side to the case that the public didn’t know. Jimmy Akin and Dom Bettinelli talk to Pam Coronado, the psychic detective who helped police solve the crime. Get all new episodes automatically and for… Continue reading Pam Coronado, Psychic Detective (DC Beltway Snipers Case)
In New Paradox, Black Holes Appear to Evade Heat Death
The AdS/CFT duality has been reliably blowing people’s minds for over 25 years. It’s hard to visualize how such different systems as a black hole and a hot plasma could be equivalent. Now it seems that the difficulty is not just a failure of the human imagination, but a feature of the mathematics. As a… Continue reading In New Paradox, Black Holes Appear to Evade Heat Death
Is Ecuador in the Middle of a Self-Coup?
On May 17, the president of Ecuador, Guillermo Lasso, dissolved the country’s legislature in the midst of impeachment proceedings against him. Did Ecuador just have a self-coup? Opposition leaders say yes. But the answer is no, at least for now. This matters greatly for the country’s democratic trajectory and for the international community’s response. The… Continue reading Is Ecuador in the Middle of a Self-Coup?
The Effects of Holy Communion
Editor’s note: This is part 26 of a series, “The Kingdom of Grace.” Part 25 can be found here. The primary cause of the growth of grace is the Eucharist, and receiving holy communion has many wonderful effects in us. It comes as a surprise to many people to hear that the Eucharist is a… Continue reading The Effects of Holy Communion
Young People in Historic Climate Trial Rest Their Case
CLIMATEWIRE | HELENA, Mont. — Young people suing Montana for embracing fossil fuels will wrap up their case Friday, closing out a week of bashing officials for ignoring climate effects they say are warming the state’s famed fishing rivers, melting its iconic glaciers and harming its youngest residents. The state — which has argued during cross-examination… Continue reading Young People in Historic Climate Trial Rest Their Case