Update README.md

README.md

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 ---
 license: bigscience-openrail-m
----
+widget:
+- text: I am totally a human, trust me bro.
+  example_title: default
+- text: >-
+    This study presents a comprehensive analytical investigation of the
+    collective excitation branch in the continuum of pair-condensed Fermi gases,
+    with a focus on identifying and establishing scaling laws for this
+    phenomenon. Based on thorough theoretical analysis and simulations, we
+    demonstrate that collective excitations in pair-condensed Fermi gases
+    exhibit distinct scaling behaviors, characterized by universal scaling
+    exponents that are independent of the particular system parameters. Our
+    findings suggest that these scaling laws reflect the underlying symmetries
+    and correlations of these systems, and thus can provide valuable insights
+    into their microscopic properties. Moreover, we demonstrate that the
+    collective excitation branch in pair-condensed Fermi gases can provide a
+    robust signature for the presence of pairing correlations, which can be
+    detected experimentally through various spectroscopic techniques.
+    Additionally, we explore the implications of our results for ongoing
+    experimental efforts aimed at studying collective excitations in these
+    systems, highlighting the potential for using collective excitations as a
+    probe of the pairing mechanism and providing a bridge between theory and
+    experiment. Overall, our study sheds new light on the collective behavior of
+    Fermi gases with pairing correlations, and identifies key features that can
+    be used to further explore their physics, both theoretically and
+    experimentally. These findings represent a significant contribution to the
+    field of condensed matter physics, and open up new avenues for investigating
+    the behavior of strongly correlated systems in general.
+  example_title: generated1
+- text: >-
+    On Zariski Main Theorem in Algebraic Geometry and Analytic Geometry. We fill
+    a surprising gap of Complex Analytic Geometry by proving the analogue of
+    Zariski Main Theorem in this geometry, i.e. proving that an holomorphic map
+    from an irreducible analytic space to a normal irreducible one is an open
+    embedding if and only if all its fibers are discrete and it induces a
+    bimeromorphic map on its image. We prove more generally the "Generalized
+    Zariski Main Theorem for analytic spaces", which claims that an holomorphic
+    map from an irreducible analytic space to a irreducible locally irreducible
+    one is an open embedding if and only if it is flat and induces a
+    bimeromorphic map on its image. Thanks to the "analytic criterion of
+    regularity" of Serre-Samuel in GAGA [12] and to "Lefschetz Principle", we
+    finally deduce the "Generalized Zariski Main Theorem for algebraic varieties
+    of characteristical zero", which claims that a morphism from such an
+    irreducible variety to an irreducible unibranch one is an open immersion if
+    and only if it is birational and flat.
+  example_title: real1
+datasets:
+- NicolaiSivesind/human-vs-machine
+language:
+- en
+pipeline_tag: text-classification
+tags:
+- mgt-detection
+- ai-detection
+---