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Why Iran remains too important for China to lose
China and Iran have maintained diplomatic ties for decades. Yet Beijing's response to the ongoing conflict in the Middle East has been notably measured: diplomatic support for Tehran, criticism of US and Israeli military actions, and repeated calls for de-escalation — but no indication of a willingness to intervene more forcefully. This cautious approach raises an important question: if Iran is such an important partner, why has China not done more to support it during the conflict?
Inferring DAGs and Phylogenetic Networks from Least Common Ancestors
Announce Type: replace-cross Abstract: A least common ancestor (LCA) of two leaves in a directed acyclic graph (DAG) is a vertex that is an ancestor of both leaves and has no proper descendant that is also their common ancestor. LCAs capture hierarchical relationships in rooted trees and, more generally, in DAGs. In 1981, Aho et al. introduced the problem of determining whether a set of pairwise LCA constraints on a set $X$, of the form $(i,j)<(k,l)$ with $i,j,k,l\in X$, can be realized by a...
The maths meme that has been distracting mathematicians for a century
Almost a century ago, a mathematician came up with a puzzle that was so seemingly simple and yet so fiendishly difficult that it has been distracting other mathematicians ever since. It has become a meme that jumps from brain to brain, with many people claiming to have solved it, only to have their hopes dashed as the proof unravels. And be warned – once I explain the rules, you will immediately want to start playing around with it yourself, and I take no responsibility for how much of your...
HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations
Announce Type: replace Abstract: While Graph Neural Networks (GNNs) have proven highly effective at modeling relational data, pairwise connections cannot fully capture multi-way relationships naturally present in complex real-world systems. In response to this, Topological Deep Learning (TDL) leverages more general combinatorial representations--such as simplicial or cellular complexes--to accommodate higher-order interactions. Existing TDL methods often extend GNNs through Higher-Order...
Why China is buying less Iranian oil - explained in charts
The Strait of Hormuz, just 29 nautical miles (54 km) wide at narrowest point may be one of the world's most critical oil chokepoints. But as disruptions rattles the waterway, an unexpected trend is emerging, as China which is Iran's biggest oil customer is buying significantly less crude. While Beijing continues to rely on Tehran for discounted oil, weaker domestic demand, refinery cutbacks, record stockpiles and the rapid rise of electric vehicles have reduced its need for fresh imports.
Fast-moving droplets synthesize key drug compounds at room temperature, no catalysts needed
Fast-moving droplets synthesize key drug compounds at room temperature, no catalysts needed Lisa Lock Scientific Editor Robert Egan Associate Editor Chemical reactions are the backbone to nearly all biological processes, including those used to make new medicines. However, these reactions can often take considerable time and require harsh conditions or materials—potentially inhibiting the timely development of life-changing drugs. Purdue University researcher Graham Cooks and his team at...
China’s Economy Is Taking Everyone Down
Some economists assumed that the buying power of China’s expanding middle class would ultimately fuel global growth. China has instead become a destabilizing force in the global economy. Chinese President Xi Jinping is running the country as a government-subsidized, export-driven manufacturing juggernaut.