Quanta
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![[:es]The Brain Doesn’t Think the Way You Think It Does[:]](https://katedra.eus/app/uploads/2021/09/Brain-Categories_2560_Lede.jpg)
[:es]The Brain Doesn’t Think the Way You Think It Does[:]
Familiar categories of mental functions such as perception, memory and attention reflect our experience of ourselves, but they are misleading about how the brain works. More revealing approaches are emerging.
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![[:es]Proof Assistant Makes Jump to Big-League Math[:]](https://katedra.eus/app/uploads/2021/07/Liquid_Tensor_2880x1620_Lede-scaled.jpg)
[:es]Proof Assistant Makes Jump to Big-League Math[:]
Mathematicians using the computer program Lean have verified the accuracy of a difficult theorem at the cutting edge of research mathematics.
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![[:es]A Soil-Science Revolution Upends Plans to Fight Climate Change[:]](https://katedra.eus/app/uploads/2021/07/Soil2880x1620_Lede-scaled.jpg)
[:es]A Soil-Science Revolution Upends Plans to Fight Climate Change[:]
A centuries-old concept in soil science has recently been thrown out. Yet it remains a key ingredient in everything from climate models to advanced carbon-capture projects.
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![[:es]How to Find Rational Points Like Your Job Depends on It[:]](https://katedra.eus/app/uploads/2021/07/Slopes_2880_lede-scaled.jpg)
[:es]How to Find Rational Points Like Your Job Depends on It[:]
Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.
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![[:es]Plasmid, Virus or Other? DNA ‘Borgs’ Blur Boundaries.[:]](https://katedra.eus/app/uploads/2021/07/Borgs_2880x1620_Lede-scaled.jpg)
[:es]Plasmid, Virus or Other? DNA ‘Borgs’ Blur Boundaries.[:]
Scientists have reported large DNA structures in some archaea that defy easy categorization.
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![[:es]New Shape Opens ‘Wormhole’ Between Numbers and Geometry[:]](https://katedra.eus/app/uploads/2021/07/Langlands_lede_2560.jpg)
[:es]New Shape Opens ‘Wormhole’ Between Numbers and Geometry[:]
Laurent Fargues and Peter Scholze have found a new, more powerful way of connecting number theory and geometry as part of the sweeping Langlands program.
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![[:es]How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.[:]](https://katedra.eus/app/uploads/2021/07/Infinity-Tower_Lede_2880-scaled.jpg)
[:es]How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.[:]
For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.
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![[:es]DNA Has Four Bases. Some Viruses Swap in a Fifth.[:]](https://katedra.eus/app/uploads/2021/07/Alt-DNA_2880x1620_Lede-scaled.jpg)
[:es]DNA Has Four Bases. Some Viruses Swap in a Fifth.[:]
The DNA of some viruses doesn’t use the same four nucleotide bases found in all other life. New work shows how this exception is possible and hints that it could be more common than we think.
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![[:es]Mathematicians Prove Symmetry of Phase Transitions[:]](https://katedra.eus/app/uploads/2021/07/Percolation_Lede_op.jpg)
[:es]Mathematicians Prove Symmetry of Phase Transitions[:]
A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems.
