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Limit theory of discrete mathematics problems
, 2015 We show a general problem-solving tool called limit theory. This is an advanced version of asymptotic analysis of discrete problems when some finite parameter tends to infinity. We will apply it on three closely related problems. Alpern's Caching Game (for 2 nuts) is defined as follows.
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Additive Manufacturing of NiTi Shape Memory Alloys for Elastocaloric Applications: A Review
Advanced Functional Materials, EarlyView.Additive manufacturing enables complex NiTi architectures that overcome key limitations in elastocaloric refrigeration, including poor heat transfer and high mechanical work input. This review surveys recent advances in LPBF‐ and DED‐fabricated NiTi shape memory alloys for elastocaloric applications, highlighting process–structure–performance ...
Ignatius Andre Setiawan +7 more
wiley +1 more source
The Limits of Mathematics---Tutorial Version
, 1995 The latest in a series of reports presenting the information-theoretic incompleteness theorems of algorithmic information theory via algorithms written in specially designed versions of LISP. Previously in this LISP code only one-character identifiers were allowed, and arithmetic had to be programmed out.
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Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Triblock Polymer Engineering Enables Hydration‐Rich, High‐Performance, Fouling‐Resistant Interfaces
Advanced Functional Materials, EarlyView.A molecularly engineered triblock polymer (PHZ) rapidly reorganizes into a hydration‐rich interfacial layer on diverse surfaces, strongly suppressing hydrophobic attraction and fouling. The triblock polymer provides robust energy and steric barriers to oily foulants, enabling high‐performance antifouling at ultralow dosage.
Chenyu Qiao +6 more
wiley +1 more source
The Limits of Mathematics---Fourth Version
, 1994 This is yet another version of the course notes in chao-dyn/9407003. Here we use m-expressions more aggressively to further reduce the constants in our information-theoretic incompleteness theorems. Our main theorems are: 1) an N-bit formal axiomatic system cannot enable one to exhibit any specific object with program-size complexity greater than N+c ...
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Dispensing Volumetric Additive Manufacturing
Advanced Functional Materials, EarlyView.Dispensing volumetric additive manufacturing (DVAM) prints 3D structures inside a photocurable resin droplet suspended from the tip of a glass pipette, enabling sequential printing without resin vats or manual part removal. Real‐time droplet profiling and ray‐tracing‐based correction compensate for optical distortion at the curved resin‐air interface ...
Hongryung Jeon +5 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Molten KNO2 treatment induces a lowrefractive index disordered carbon shell on fluorescent nanodiamonds, enhancing fluorescence emission while preserving spin coherence. Machine learningassisted correlative TEMPL enables direct single‐particle resolution of this enhancement relative to air‐oxidized nanodiamonds of similar morphology, establishing a ...
Parkarsh Kumar +10 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Butterfly wing scales are intricate cuticular functional nanosctructures. This perspective suggests that spatially varying material properties, cytoskeletal constraints, and growth‐driven mechanical instabilities shape the resulting nanoscale architectures created from single cells.
Anupama Prakash +10 more
wiley +1 more source