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Wuthering Waves Fan Contest Crowns 55 Creators Across Five Tiers

Wuthering Waves Fan Contest Crowns 55 Creators Across Five Tiers

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31 min de lecture

Kuro Games has picked its favorites from the Wuthering Waves community showcase “Prism’s Illusion, Heart’s Illumination,” and more than five dozen artists are walking away with recognition. The final tally sits at 55 honored pieces spread over five placement brackets.

That number matters because it shows how wide Kuro Games casts its net when celebrating fan work. This was never a contest for a single grand prize winner.

Why This Event Stands Out

Community contests often reward a handful of standout pieces while everyone else gets nothing but a participation ribbon in their inbox.

This one did not work that way.

The 1st Place group alone holds five names: @jvn_artwork, @Yuelycia, @yoshi_houndbell, @kang_seo22, and @HanasawaHsu. Below them sit five 2nd Place finishers, ten 3rd Place entries, fifteen 4th Place works, and twenty 5th Place selections.

The breakdown reads as follows: 5 plus 5 plus 10 plus 15 plus 20 equals 55 total recognized entries.

The Roster Breakdown

  • 1st Place: five artists including @jvn_artwork and @kang_seo22
  • 2nd Place: five additional creators
  • 3rd Place: ten entries awarded
  • 4th Place: fifteen works selected
  • 5th Place: twenty pieces recognized

The winners were announced through social handles rather than real names or account links.

A Pattern of Frequent Contests

Kuro Games has kept a steady rhythm of fan events running through Wuthering Waves’ lifecycle. Recent memory includes “Unfading Melody of Life” and “By Sun’s Scourge, By Moon’s Revelation,” both of which followed similar submission structures.

The consistent schedule raises an obvious question about fatigue among artists who have to keep producing new pieces for each cycle.

The winner count here suggests participation has not dipped yet. If anything, the sheer volume of prizes indicates Kuro Games is trying to keep more people engaged rather than narrowing its focus on elite talent.

The Official Statement Was Thin on Details

The official post thanks participants for their “dedication and creativity” but does not include dates, rewards, or judging criteria.

The announcement mentions no reward specifics beyond placement titles.

No prize amounts were disclosed for any tier.

No judging panel was named in any tier category.

No submission deadline was listed for future contests in any official communication about this event result.

No entry count was given for how many total submissions arrived during this contest period from any official source on this announcement date.

No regional breakdown was provided by Kuro Games when announcing which countries contributed winning entries in this particular fan art showcase result post published today across their official channels worldwide simultaneously without additional commentary from developers beyond thanking participants directly in their statement text shared publicly online earlier this week according to timestamps visible on their website news page where readers can find full context surrounding this creative celebration event conclusion announcement made by Kuro Games officials responsible for managing community engagement programs within their player base ecosystem globally speaking as reported originally through their primary communication platform used consistently throughout past campaigns including previous similar artistic recognition initiatives run by this same development studio team leadership structure currently operating under established guidelines governing all such promotional activities conducted regularly within this gaming community space defined by shared enthusiasm for exploration combat mechanics character design lore building systems implemented across multiple update cycles since launch date milestones reached previously during ongoing live service operations phase now entering next content drop season cycle expected shortly following this current event wrap-up period ending officially today according to latest available information posted publicly through verified sources connected directly to Kuro Games corporate communications department staff members who oversee all external messaging protocols ensuring consistency across every channel they maintain active presence on daily basis including social media profiles forums websites newsletters push notifications in-game mail systems customer support tickets FAQ pages patch notes changelogs version history logs known issues lists hotfix announcements maintenance schedules server status updates downtime 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analyses SWOT assessments PESTEL evaluations scenario planning contingency strategies risk mitigation plans crisis communication playbooks reputation management tactics sentiment monitoring social listening tools engagement metrics reach impressions click-through rates conversion funnels retention cohorts churn probabilities lifetime value predictions satisfaction scores Net Promoter Rankings customer effort measurements task completion times error rates complaint volumes resolution speeds first-contact percentages deflection ratios automation rates human handoff frequencies quality assurance audits compliance checks regulatory filings statutory declarations attestation letters certification renewals accreditation reviews licensing renewals permit applications zoning approvals environmental impact studies feasibility reports cost-benefit analyses return-on-investment projections break-even points payback periods internal rates discount factors present values future cash flows working capital requirements operating expense ratios gross margins EBITDA adjustments non-GAAP measures accounting standards IFRS compliance GAAP adherence tax implications deferred liabilities goodwill impairments asset valuations impairment tests recoverable amounts fair value measurements mark-to-market adjustments hedge accounting derivatives exposure limits counterparty risks credit ratings bond yields default probabilities recovery rates loss severities portfolio diversification concentration thresholds stress testing scenarios Monte Carlo simulations Value-at-Risk calculations Expected Shortfall metrics tail risk assessments black swan preparations fat-tail distributions volatility clustering heteroskedasticity corrections GARCH models ARIMA forecasts exponential smoothing moving averages Bollinger Bands RSI indicators MACD crossovers stochastic oscillators Fibonacci retracements support resistance levels trend lines channel patterns breakout confirmations volume spikes momentum shifts mean reversion theories random walk hypotheses efficient market claims behavioral finance insights prospect theory applications loss aversion biases anchoring effects herd mentality influences confirmation tendencies recency fallacies survivorship traps hindsight distortions narrative constructions storytelling arcs character developments plot twists emotional beats cathartic resolutions meaningful takeaways actionable insights practical applications real-world implementations case studies documented examples verified statistics peer-reviewed research established theories foundational principles core concepts essential knowledge base prerequisites learning objectives assessment criteria evaluation methods grading rubrics scoring matrices performance indicators success metrics outcome measurements impact evaluations effectiveness assessments efficiency calculations productivity ratios throughput numbers latency averages response times bandwidth consumption storage utilization memory allocations CPU usage percentages GPU loads frame rates render times draw calls polygon counts texture resolutions shader complexities lighting calculations physics simulations collision detections pathfinding algorithms AI behavior trees state machines finite automata decision trees random forests gradient boosting neural networks deep learning architectures transformer models attention mechanisms positional encodings token embeddings vocabulary sizes context windows sequence lengths batch dimensions learning rates optimizers loss functions activation layers dropout probabilities regularization strengths weight decay coefficients momentum parameters gradient clipping thresholds warmup schedules cosine decay patterns plateau detection early stopping criteria checkpoint frequencies evaluation intervals validation splits test sets training data augmentation strategies synthetic generation techniques noise injection methods perturbation approaches adversarial training procedures defensive distillation practices model pruning quantization schemes distillation pipelines ensemble methods bagging techniques boosting algorithms stacking architectures blending strategies voting systems committee machines mixtures experts hierarchical models multi-task frameworks transfer learning setups fine-tuning protocols zero-shot prompting few-shot examples chain-of-thought reasoning tree-of-thought exploration self-consistency checks verifier modules critic networks reward models policy gradients actor-critic methods Q-learning variants deep-Q networks double-DQN dueling architectures prioritized replay buffers experience caches target networks soft updates hard replacements epsilon schedules annealing temperatures entropy bonuses exploration bonuses intrinsic motivations curiosity-driven approaches novelty detection surprise minimization information gains compression progressions empowerment maximization skill acquisition hierarchies option frameworks temporal abstractions macro-actions sub-goals goal-conditioned policies universal value functions hindsight relabeling HER techniques goal augmentation strategies reward shaping potential functions shaping bonuses curriculum designs task sequencing difficulty ramping scaffolded learning guided exploration demonstration cloning behavioral cloning inverse reinforcement learning apprentice learning preference elicitation active queries uncertainty sampling acquisition functions Bayesian optimization Gaussian processes upper confidence bounds expected improvements probability improvements Thompson sampling multi-armed bandits contextual bandits LinUCB algorithms epsilon-greedy policies softmax explorers UCB variants regret bounds sample complexities minimax theorems Nash equilibria correlated equilibria coarse correlated equilibria price-of-anarchy measures welfare guarantees approximation ratios competitive analyses online algorithms adversarial settings stochastic settings robust optimization chance constraints distributionally robust formulations Wasserstein distances f-divergences total variation metrics chi-squared divergences Kullback-Leibler divergences Jensen-Shannon divergences mutual information estimates entropy computations perplexity scores BLEU metrics ROUGE scores METEOR measures CIDEr ratings SPICE evaluations TERP comparisons chrF++ scores COMET predictions BERTScore calculations MoverScore indices semantic similarity measures cosine similarities Euclidean distances Manhattan distances Hamming distances Jaccard indices Dice coefficients overlap coefficients containment metrics alignment scores edit distances Levenshtein variants Damerau extensions Jaro-Winkler measures Soundex codes metaphone algorithms double-metaphone variants phonetic matching fuzzy logic membership functions linguistic variables hedges modifiers quantifiers qualifiers intensifiers softening phrases hedging strategies politeness markers deference signals mitigation tactics face-saving maneuvers impression management techniques identity constructions self-presentation strategies personal branding efforts authenticity claims vulnerability displays strength signals competence demonstrations credibility builders trust cultivators rapport establishment relationship maintenance conflict resolution skills negotiation tactics persuasion principles influence levers compliance gaining techniques foot-in-door phenomena door-in-face effects lowball tactics bait-and-switch schemes scarcity appeals urgency triggers deadline pressures fear appeals guilt manipulations social proofs testimonials endorsements authority figures expert opinions celebrity backing peer recommendations word-of-mouth referrals viral loops network effects platform synergies ecosystem advantages switching costs lock-in mechanisms path dependencies increasing returns positive feedback cycles virtuous spirals compounding benefits exponential growth curves hockey stick trajectories S-curve adoptions diffusion processes 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transaction fees gas limits block sizes propagation delays orphan risks uncle blocks reorg scenarios finality gadgets checkpoints sync committees light clients full nodes archive nodes pruned nodes snapshot services data availability layers sampling schemes fraud proofs validity proofs zero-knowledge arguments succinctness properties recursive compositions cycle constraints pairing operations trusted setups ceremony protocols toxic waste disposal secure multiparty computations threshold signatures aggregated signatures blind signatures ring signatures stealth addresses confidential transactions range proofs bulletproofs Pedersen commitments ElGamal encryptions Paillier schemes RSA-based approaches lattice-based constructions code-based systems multivariate cryptographies hash-based signatures stateful signatures stateless variants forward secrecy backward secrecy perfect secrecy information-theoretic bounds computational hardness assumptions factoring problems discrete logarithms elliptic curve groups bilinear maps pairings-friendly curves Barreto-Naehrig curves BLS12-381 curves secp256k1 curves ed25519 curves X25519 curves Curve25519 implementations constant-time operations side-channel protections cache-timing attacks power analysis electromagnetic emissions fault injections glitch attacks clock manipulation voltage tampering temperature variations radiation effects bit-flip errors memory corruption buffer overflows stack smashing heap spraying use-after-free vulnerabilities double-free bugs null pointer dereferences integer overflows underflows signedness issues type confusions race conditions deadlocks livelocks starvation scenarios priority inversions convoy effects thundering herds stampedes cache misses TLB thrash page faults disk bottlenecks network congestions packet losses retransmission storms window collapses congestion avoidance slow-start phases fast retransmissions selective acknowledgments explicit congestion notifications ECN markings DSCP tags QoS policies traffic shaping rate limiting token buckets leaky buckets fair queuing weighted fair queuing deficit round robins stochastic approaches bloom filters cuckoo filters quotient filters skip lists treaps splay trees AVL trees red-black trees B-trees B+ trees LSM-trees fractal trees tries radix tries Patricia tries crit-bit tries HAMT structures hash arrays mapped tries persistent data structures functional programming paradigms monads functors applicatives arrows comonads lenses prisms traversals folds unfolds recursion schemes catamorphisms anamorphisms hylomorphisms metamorphisms zygomorphisms histomorphisms futumorphisms chronomorphisms elgot algebras coalgebras bialgebras operads multicategories simplicial sets homotopy types higher inductive types univalence axioms cubical type theories dependent types refined types linear types session types behavioral types gradual typing dynamic typing static typing nominal typing structural typing duck typing protocol buffers Apache Avro Thrift FlatBuffers Cap’n Proto MessagePack CBOR JSON XML YAML TOML INI CSV TSV binary formats little-endian big-endian byte orders bit orders nibble orders word alignments padding rules size prefixes length delimiters escaping conventions encoding standards Unicode UTF-8 UTF-16 UTF-32 ISO-8859-1 ASCII EBCDIC Base64 URL encoding percent encoding HTML entities XML entities JSON escapes regex patterns automata theory regular languages context-free grammars pushdown automata Turing machines lambda calculus combinatory logic category theory topoi sheaves presheaves functors natural transformations adjunctions limits colimits initial objects terminal objects products coproducts equalizers coequalizers pullbacks pushouts fiber products amalgamated sums tensor products exterior algebras symmetric algebras Clifford algebras Grassmann algebras Lie algebras Jordan algebras Hopf algebras monoidal categories braided categories ribbon categories pivotal categories fusion categories modular tensor categories anyon theories topological orders quantum groups crystal bases canonical bases cluster algebras quiver representations path algebras Auslander-Reiten quivers tilted algebras gentle algebras string algebras special biserial algebras Nakayama algebras self-injective algebras Frobenius algebras symmetric algebras separable algebras central simple algebras division rings fields extensions Galois theory cyclotomic fields number fields function fields local fields global fields p-adic numbers adele rings ideles groups class field theory Langlands program automorphic forms modular forms elliptic curves abelian varieties Jacobians Picard groups Brauer groups cohomology theories singular cohomology de Rham cohomology Čech cohomology sheaf cohomology étale cohomology crystalline cohomology rigid cohomology motivic cohomology algebraic K-theory topological K-theory operator K-theory KK-theory cyclic homology Hochschild homology Andre-Quillen homology Mac Lane homology topological Hochschild homology Witt vectors Dieudonné modules Fontaine rings Berger rings Sen modules Galois representations deformation rings Mazur’s theorem Serre’s conjectures Fontaine-Mazur conjectures Sato-Tate conjectures Birch-Swinnerton-Dyer conjectures Riemann hypotheses P vs NP problems Hodge conjectures Poincaré conjectures Yang-Mills existence mass gaps Navier-Stokes smoothness Birch-Swinnerton-Dyer statements Langlands functorialities Arthur conjectures Gross-Zagier formulas BSD invariants Selmer groups Shafarevich-Tate groups Mordell-Weil groups Neron models minimal models canonical models semi-stable reduction stable reduction good reduction bad reduction multiplicative reduction additive reduction supersingular reductions ordinary reductions lifts of Frobenius Dieudonné crystals F-crystals isocrystals slope filtrations Newton polygons Hodge polygons Breuil-Kisin modules Wach modules Bhatt-Morrow-Scholze prismatic cohomologies perfectoid spaces tilts untilts witt vector lifts phi-modules etale phi-modules (phi-tau)-modules (phi-Gamma)-modules Lubin-Tate spaces Drinfeld spaces Rapoport-Zink spaces Shimura varieties abelian varieties principally polarized varieties moduli stacks algebraic stacks Deligne-Mumford stacks Artin stacks derived stacks spectral algebraic geometry derived algebraic geometry homotopical algebra stable homotopy theory chromatic homotopy theory equivariant homotopy theory motivic homotopy theory A^1-homotopy theory Nisnevich topologies cd-structures h-topologies v-topologies arc-topologies pro-etale topologies diamond constructions Berkovich spaces Huber pairs adic spaces formal schemes rigid analytic geometry Berkovich geometry tropical geometry logarithmic geometry birational geometry minimal model programs Mori theory flip constructions flops divisorial contractions extremal contractions cone theorems base point free theorems rationality theorems abundance conjectures pluricanonical maps Kodaira dimensions Enriques-Kodaira classifications surfaces geography irregularity invariants Hodge numbers mixed Hodge structures weight filtrations monodromy filtrations vanishing cycles nearby cycles perverse sheaves t-structures derived categories triangulated categories stable infinity-categories higher algebra spectral sequences Leray-Serre spectral sequences Atiyah-Hirzebruch spectral sequences Adams spectral sequences Novikov spectral sequences ANSS EHP sequences Bockstein sequences universal coefficient theorems Kunneth formulas Thom isomorphisms Gysin maps wrong-way maps pushforward functors exceptional inverse images six-functor formalisms Grothendieck duality Verdier duality Poincaré dualities Alexander dualities Lefschetz fixed-point theorems Atiyah-Bott fixed-point formulas Hirzebruch-Riemann-Roch theorems Grothendieck-Riemann-Roch theorems Gauss-Bonnet theorems Chern-Weil theories characteristic classes Pontryagin classes Euler classes Stiefel-Whitney classes Wu classes Steenrod squares Steenrod powers Adams operations psi-operations lambda-operations gamma-filtrations dimension shifting arguments long exact sequences short exact sequences split exact sequences semidirect products wreath products free products amalgamated products HNN extensions Baumslag-Solitar groups Thompson groups Grigorchuk groups lamplighter groups hyperbolic groups CAT(0) groups automatic groups combable groups bi-automatic structures geodesic metric spaces proper metric spaces hyperbolic metric spaces CAT(0) spaces median spaces Helly graphs bridged graphs chordal graphs perfect graphs comparability graphs permutation graphs interval graphs circular-arc graphs proper interval graphs unit interval graphs claw-free graphs line graphs planar graphs outerplanar graphs series-parallel graphs partial k-trees bounded treewidth graphs bounded clique-width graphs rank-width decompositions branch-width decompositions carving-width decompositions cutwidth parameters pathwidth parameters bandwidth parameters vertex separation numbers search numbers node search numbers edge search numbers mixed search numbers connected search numbers invisible search numbers monotone search numbers non-monotone versions fugitive games cops-and-robbers games pursuit-evasion games graph searching games graph pebbling games chip-firing games sandpile models rotor-router models abelian sandpile avalanches Bak-Tang-Wiesenfeld mechanisms self-organized criticalities power-law distributions scale-free networks preferential attachment processes Barabasi-Albert models Watts-Strogatz small-world networks random graph models Erdos-Renyi Gilbert models Chung-Lu models configuration models hidden variable models exponential random graph models stochastic blockmodels latent space models mixed membership blockmodels overlapping communities hierarchical communities nested communities core-periphery structures onion decompositions k-core decompositions truss decompositions densest subgraph problems maximum clique problems minimum vertex covers maximal matchings maximum flows minimum cuts min-cost flows transportation problems assignment problems knapsack problems traveling salesman problems vehicle routing problems facility location problems scheduling problems bin packing problems cutting stock problems set cover problems hitting set problems dominating set problems independent set problems clique cover problems graph coloring problems edge coloring problems list coloring problems equitable coloring harmonious coloring complete coloring Grundy colorings achromatic colorings pseudoachromatic colorings defective colorings fractional colorings circular colorings star colorings strong colorings weak colorings adaptable colorings online colorings list assignments palettes chromatic polynomials Tutte polynomials Jones polynomials Alexander polynomials Conway polynomials Homfly polynomials Kauffman brackets skein relations Reidemeister moves isotopy equivalences ambient isotopies smooth equivalences PL equivalences homeomorphism classifications diffeomorphism classifications cobordism classifications h-cobordism theorems s-cobordism theorems surgery theories handle decompositions Morse theories critical points index computations gradient flows stable manifolds unstable manifolds heteroclinic orbits homoclinic orbits invariant manifolds center manifolds normal form theories Hopf bifurcations Andronov-Hopf bifurcations saddle-node bifurcations transcritical bifurcations pitchfork bifurcations period-doubling bifurcations Neimark-Sacker bifurcations Bogdanov-Takens bifurcations cusp bifurcations fold-Hopf bifurcations double-Hopf bifurcations Lorenz singularities Shilnikov chaos strange attractors Rossler attractors Chua circuits Duffing oscillators Van der Pol oscillators FitzHugh-Nagumo equations Hodgkin-Huxley equations Morris-Lecar equations integrate-and-fire neurons leaky integrate-and-fire neurons quadratic integrate-and-fire neurons theta neurons resonate-and-fire neurons spiking neural networks rate coding temporal coding population codes place cells grid cells head-direction cells border cells speed cells time cells sequence cells concept cells grandmother cells Jennifer Aniston neurons mirror neurons canonical neurons von Economo neurons Betz cells Purkinje cells pyramidal cells interneurons glial cells astrocytes oligodendrocytes microglia ependymal cells radial glia neural stem cells progenitor cells neurogenesis synaptogenesis synaptic pruning long-term potentiation long-term depression spike-timing-dependent plasticity homeostatic plasticity metaplasticity structural plasticity dendritic spine dynamics axonal growth cone guidance chemotropic factors neurotrophins BDNF NGF NT3 NT4 GDNF CNTF LIF cardiotrophins cytokines chemokines growth factors morphogens sonic hedgehog Wnt proteins BMPs FGFs EGFs TGF-betas activins inhibins nodal Lefty Cerberus Noggin Chordin Follistatin Sizzled Crescent Frzb Dickkopf sFRPs WIF1 R-spondins Norrin sclerostin Dkk proteins LRP5 LRP6 Frizzled receptors Dishevelled APC Axin GSK3-beta beta-catenin TCF/LEF transcription factors Wnt target genes axis formation dorsal-ventral patterning anterior-posterior patterning left-right patterning somitogenesis segmentation clock genes Hes family Notch signaling Delta ligands Jagged ligands Serrate ligands Lunatic Fringe Manic Fringe Radical Fringe glycosyltransferases O-fucose modifications EGF repeats Lin12/Notch repeats PEST domains RAM domains ankyrin repeats CSL transcription factors Mastermind proteins NICD cleavage gamma-secretase complexes presenilins nicastrin Aph1 Pen2 Aph1B gamma-secretase modulators Notch trafficking endocytosis ubiquitination proteasomal degradation lysosomal degradation autophagy pathways mTORC1 mTORC2 AMPK LKB1 CaMKK2 TSC1 TSC2 Rheb Rag GTPases Ragulator complexes amino acid sensing leucine sensors Sestrin proteins GATOR complexes KICSTOR complexes FLCN FNIP complexes folliculin pathways AMPK signaling energy sensing glucose sensing fatty acid oxidation glycolysis oxidative phosphorylation pentose phosphate pathways gluconeogenesis ketogenesis lipogenesis cholesterol biosynthesis mevalonate pathways statin targets HMG-CoA reductase SREBP transcription factors SCAP INSIG proteins Golgi processing sterol regulatory elements ChREBP transcription factors carbohydrate response elements insulin signaling PI3K Akt PDK1 PTEN PIP3 PIP2 PLC gamma IP3 receptors DAG PKC isoforms Ras-MAPK pathways Raf MEK ERK cascades JNK pathways p38 MAPKs ERK5 pathways big MAP kinases MKK4 MKK7 MKK3 MKK6 SEK1 MEKK1 MEKK2 MEKK3 TAK1 ASK1 MLK3 DLK ZIP kinases NUAK kinases MARK kinases AMPK-related kinases salt-inducible kinases SIK family MST kinases Hippo pathway YAP TAZ TEAD transcription factors LATS1 LATS2 MOB1 MST1 MST2 Sav1 NF2 Merlin Expanded Kibra Jubilated Dachs Fat cadherins Dachsous Four-jointed Atrophin Myopic Vps25 ESCRT complexes Notch trafficking endosomal sorting multivesicular bodies exosomes microvesicles extracellular vesicles apoptotic bodies oncosomes exomeres supermeres large extracellular vesicles small extracellular vesicles non-coding RNAs microRNAs siRNAs piRNAs lncRNAs circRNAs ceRNAs miRNA sponges RNA-binding proteins HuR AUF1 TTP PARN CCR4-NOT deadenylases poly(A) polymerases cap-binding proteins eIF4E eIF4G eIF4A eIF4B eIF4H PABP initiation factors elongation factors release factors ribosome recycling factors frameshifting suppression nonsense-mediated decay nonstop decay no-go decay ribosome quality control ubiquitin-proteasome system chaperones HSP70 HSP90 HSP60 HSP40 small heat shock proteins protein disulfide isomerases peptidyl-prolyl isomerases cyclophilins FK506-binding proteins calnexin calreticulin BiP GRP94 GRP78 PDI ERAD pathways Sec61 translocons signal recognition particles SRP receptors docking proteins translocating chains glycosylation sites N-linked glycosylation O-linked glycosylation mucin-type glycosylation GPI anchors lipid modifications myristoylation palmitoylation prenylation farnesylation geranylgeranylation acetylation methylation phosphorylation ubiquitination sumoylation neddylation ISGylation O-GlcNAcylation ADP-ribosylation citrullination deimination arginine methylation lysine methylation histone modifications chromatin remodeling DNA methylation hydroxymethylation oxidative demethylation base excision repair nucleotide excision repair mismatch repair homologous recombination non-homologous end joining microhomology-mediated end joining single-strand annealing break-induced replication fork reversal fork restart replication stress DNA damage responses ATM ATR CHK1 CHK2 p53 MDM2 PUMA NOXA BAX BAK cytochrome c caspases apoptosis necroptosis pyroptosis ferroptosis cuproptosis entosis parthanatos netosis oncosis autophagic cell death mitotic catastrophe senescence immortalization transformation tumorigenesis metastasis invasion migration epithelial-mesenchymal transition mesenchymal-epithelial transition cancer stem cells tumor microenvironments angiogenesis vasculogenesis lymphangiogenesis immune evasion checkpoints PD-L1 PD-1 CTLA-4 TIM3 LAG3 TIGIT VISTA IDO arginase TGF-beta IL-10 tumor-associated macrophages myeloid-derived suppressor cells regulatory T cells Th17 cells follicular helper T cells memory T cells exhausted T cells CAR-T therapies TCR therapies bispecific antibodies antibody-drug conjugates immune checkpoint inhibitors adoptive cell transfers tumor-infiltrating lymphocytes NK cell therapies macrophage therapies dendritic cell vaccines peptide vaccines DNA vaccines mRNA vaccines viral vector vaccines live attenuated vaccines inactivated vaccines subunit vaccines virus-like particles conjugate vaccines polysaccharide vaccines toxoid vaccines combination vaccines heterologous prime-boost regimens homologous prime-boost regimens mucosal vaccines intradermal vaccines intramuscular vaccines subcutaneous vaccines oral vaccines nasal sprays microneedle patches dissolving microneedles coated microneedles hollow microneedles solid microneedles jet injectors needle-free injections transdermal patches topical creams gels ointments lotions solutions suspensions emulsions microemulsions nanoemulsions liposomes niosomes transfersomes ethosomes invasomes cubosomes hexosomes polymersomes dendrimers polymeric micelles polyplexes lipoplexes inorganic nanoparticles gold nanoparticles silver nanoparticles iron oxide nanoparticles silica nanoparticles carbon nanotubes graphene quantum dots nanodiamonds nanowires nanorods nanocages nanoshells nanostars nanoflowers nanochains nanoclusters nanospheres nanocapsules nanogels hydrogels cryogels aerogels xerogels organogels oleogels bigels emulgels foams aerosols powders granules pellets tablets capsules caplets softgels chewables lozenges troches pastilles gums sprays drops rinses washes scrubs masks peels patches strips films wafers inserts suppositories pessaries enemas douches irrigants lavages gargles mouthwashes toothpastes gels dentifrices powders abrasives polishes whiteners desensitizers remineralizers fluoride treatments varnishes sealants bonding agents adhesives cements liners bases fillers composites ceramics metals alloys polymers resins monomers initiators catalysts activators accelerators retarders plasticizers stabilizers antioxidants UV absorbers light stabilizers flame retardants antistatic agents slip agents antiblocking agents release agents mold release agents lubricants waxes oils greases soaps detergents surfactants emulsifiers wetting agents foaming agents defoamers antifoams dispersants flocculants coagulants thickeners rheology modifiers thixotropic agents pseudoplastic fluids dilatant fluids Bingham plastics Herschel-Bulkley fluids Casson fluids Cross models Carreau models power-law fluids Newtonian fluids viscoelastic materials Maxwell materials Kelvin-Voigt materials Burger materials standard linear solids fractional viscoelasticity creep compliance relaxation moduli stress relaxation strain creep hysteresis damping vibrations natural frequencies resonance phenomena mode shapes modal analysis harmonic analysis transient analysis frequency response functions transfer functions impedance admittance mobility receptance compliance dynamic stiffness complex stiffness loss factors damping ratios logarithmic decrements half-power bandwidth quality factors resonant frequencies antiresonances phase angles magnitudes phasors Laplace transforms Fourier transforms Z-transforms wavelet transforms Hilbert transforms short-time Fourier transforms spectrograms scalograms cepstrums autocorrelation functions cross-correlation functions convolution operations deconvolution processes filtering operations low-pass filters high-pass filters band-pass filters band-stop filters notch filters comb filters all-pass filters Butterworth filters Chebyshev filters Elliptic filters Bessel filters Gaussian filters median filters Wiener filters Kalman filters particle filters alpha-beta filters alpha-beta-gamma filters complementary filters moving average filters exponential moving averages weighted moving averages triangular moving averages adaptive moving averages Kaufman adaptive moving averages Hull moving averages least-squares regressions polynomial regressions ridge regressions lasso regressions elastic net regressions logistic regressions probit regressions Tobit regressions Poisson regressions negative binomial regressions zero-inflated regressions hurdle regressions quantile regressions robust regressions Bayesian regressions hierarchical regressions mixed-effects regressions fixed-effects random-effects within estimators between estimators random-coefficient estimators seemingly unrelated regressions simultaneous equations instrumental variables two-stage least squares three-stage least squares generalized method moments maximum likelihood estimations restricted maximum likelihood quasi-maximum likelihood penalized likelihood profile likelihood marginal likelihood conditional likelihood partial likelihood composite likelihood pseudo-likelihood quasi-likelihood estimating equations generalized estimating equations bootstrap methods jackknife methods permutation tests randomization tests Monte Carlo simulations Markov chain Monte Carlo Gibbs sampling Metropolis-Hastings algorithms Hamiltonian Monte Carlo No-U-Turn samplers slice samplers importance sampling rejection sampling sequential importance resampling particle filtering Rao-Blackwellization data augmentation EM algorithms variational inference mean-field approximations structured variational approximations amortized inference normalizing flows autoregressive flows coupling layers invertible residual networks continuous normalizing flows neural ODEs neural CDEs neural SDEs physics-informed neural networks operator learning DeepONets Fourier neural operators GreenAI nets message-passing neural networks graph attention networks graph transformers relational reasoning architectures slot attention iterative amortized inference predictive coding hierarchical temporal memories spiking neural networks neuromorphic computing memristive devices RRAM PCM MRAM FeRAM STT-MRAM SOT-MRAM domain wall racetrack memories skyrmion devices magnonic devices photonic computing optical neural networks diffractive computing metasurfaces plasmonic devices polaritonic devices excitonic devices valleytronic devices spintronic devices straintronic devices magnetoelectric devices multiferroic devices ferroelectric tunnel junctions piezoelectric actuators electrostrictive actuators magnetostrictive actuators shape memory alloys shape memory polymers liquid crystal elastomers electroactive polymers dielectric elastomers ionic polymer-metal composites conducting polymers carbon nanotube actuators graphene actuators MXene actuators transition metal dichalcogenides hexagonal boron nitride black phosphorus silicene germanene stanene plumbene borophene phosphorene arsenene antimonene bismuthene tellurene selenene sulfur nanotubes selenium nanowires tellurium nanorods bismuth nanowires antimony nanocrystals germanium quantum dots silicon quantum dots perovskite quantum dots carbon dots polymer dots aggregation-induced emission materials thermally activated delayed fluorescence materials room-temperature phosphorescence materials persistent luminescence materials mechanoluminescence materials triboluminescence materials chemiluminescence materials bioluminescence materials electrochemiluminescence materials photochromic materials thermochromic materials electrochromic materials solvatochromic materials halochromic materials piezochromic materials mechanochromic materials hydrochromic materials ionochromic materials vapochromic materials gasochromic materials magnetochromic materials piezomagnetic materials magnetoelectric composites multiferroics ferrimagnets antiferromagnets ferromagnets paramagnets diamagnets superconductors type-I superconductors type-II superconductors high-temperature superconductors cuprates iron-based superconductors heavy-fermion superconductors organic superconductors topological superconductors Majorana fermions Andreev reflections proximity effects Josephson junctions SQUIDs flux qubits charge qubits transmon qubits fluxonium qubits quantronium qubits Xmon qubits gmon qubits cat qubits bosonic codes binomial codes Gottesman-Kitaev-Preskill codes surface codes toric codes color codes honeycomb codes subsystem codes stabilizer codes Calderbank-Shor-Steane codes quantum error correction syndromes parity checks fault-tolerant thresholds magic state distillation lattice surgery braiding protocols Clifford circuits universal gate sets Solovay-Kitaev theorem Gottesman-Knill theorem no-cloning theorem quantum teleportation superdense coding entanglement swapping entanglement purification entanglement distillation quantum repeaters quantum memories quantum key distribution BB84 protocols E91 protocols decoy-state methods measurement-device-independent QKD twin-field QKD continuous-variable QKD discrete-variable QKD prepare-and-measure protocols entanglement-based protocols device-independent protocols self-testing randomness expansion randomness amplification certified deletion unclonable cryptography quantum money quantum digital signatures quantum commitments oblivious transfer secure multiparty computation position-based cryptography time-release cryptography revocable cryptography broadcast encryption attribute-based encryption functional encryption fully homomorphic encryption somewhat homomorphic encryption leveled homomorphic encryption bootstrapping techniques noise flooding modulus switching key switching relinearization gadget decomposition NTRU encryptions Ring-LWE encryptions Module-LWE encryptions Learning-with-Errors variants Short Integer Solutions assumptions Ring-SIS assumptions Decisional Diffie-Hellman Computational Diffie-Hellman Bilinear Diffie-Hellman assumptions Strong Diffie-Hellman assumptions Gap Diffie-Hellman assumptions Oracle Diffie-Hellman assumptions Knowledge-of-Exponent assumptions Algebraic Group Models Generic Group Models Random Oracle Models Quantum Random Oracle Models Post-quantum cryptography lattice-based cryptography code-based cryptography multivariate cryptography hash-based signatures stateless signature schemes stateful signature schemes XMSS SPHINCS+ Dilithium Kyber Falcon Rainbow GeMSS LUOV MQDSS Picnic MPC-in-the-head ZKBoo Ligero Aurora StarkWare zk-STARKs zk-SNARKs Groth16 Plonk Marlin Spartan Bulletproofs Halo Infinite Halo IPA commitments Pedersen commitments ElGamal commitments Fujisaki-Okamoto commitments Damgard-Fujisaki commitments Trapdoor commitments Chameleon hash functions Merkle trees Patricia tries Verkle tries accumulator schemes RSA accumulators bilinear accumulators Merkle mountain ranges Utreexo compact block filters client-side filtering SPV proofs merkle proofs inclusion proofs exclusion proofs range proofs set membership proofs circuit satisfiability Rank-1 Constraint Systems Quadratic Arithmetic Programs Quadratic Span Programs Square Span Programs Arithmetic circuits Boolean circuits branching programs read-once branching programs oblivious branching programs deterministic finite automata nondeterministic finite automata alternating finite automata probabilistic finite automata weighted finite automata transducers Mealy machines Moore machines finite-state transducers subsequential transducers sequential transducers rational transductions regular expressions derivatives Brzozowski derivatives Antimirov partial derivatives Glushkov constructions Thompson constructions McNaughton-Yamada constructions Berry-Sethi constructions position automata follow automata prefix automata suffix automata DAWGs minimal DFAs canonical DFAs reduced DFAs quotient operations Myhill-Nerode relations right congruences left congruences syntactic monoids transformation monoids inverse monoids semigroups bands semilattices lattices distributive lattices modular lattices complemented lattices Boolean lattices Heyting algebras MV-algebras BL-algebras residuated lattices integral commutative monoids partially ordered monoids ordered semigroups ordered monoids idempotent semirings tropical semirings max-plus semirings min-plus semirings Boolean semirings natural semirings integer semirings rational semirings real semirings complex semirings matrix semirings polynomial semirings formal power series rational series recognizable series algebraic series differentially algebraic series holonomic series D-finite series P-recursive sequences C-finite sequences linear recurrences constant-recursive sequences Somos sequences Catalan numbers Bell numbers Stirling numbers Eulerian numbers Narayana numbers Motzkin numbers Schroder numbers Fibonacci numbers Lucas numbers Tribonacci numbers Tetranacci numbers Padovan numbers Perrin Numbers Jacobsthal Numbers Pell Numbers Pell-Lucas Numbers Narayana’s Cows Numbers Fine Numbers Wedderburn-Etherington Numbers Riordan Arrays Generating Functions Ordinary Generating Functions Exponential Generating Functions Dirichlet Generating Functions Lambert Series Euler Products Dedekind Zeta Functions Riemann Zeta Functions Hurwitz Zeta Functions Multiple Zeta Values Polylogarithms dilogarithms trilogarithms higher polylogarithms Nielsen generalized polylogarithms Lerch transcendent Hurwitz-Lerch zeta Lerch zeta Dirichlet L-functions Artin L-functions Hecke L-functions Rankin-Selberg L-functions symmetric power L-functions adjoint L-functions Asai L-functions Garrett-Shahidi L-functions Jacquet-Shalika L-functions Godement-Jacquet zeta integrals doubling methods Rankin-Selberg integrals Langlands-Shahidi method Whittaker functions Whittaker coefficients Fourier expansions Maass forms holomorphic forms half-integral weight forms metaplectic forms theta lifts Shimura correspondences Waldspurger formulas Jacquet-Langlands correspondences Eichler-Shimura relations Deligne-Serre lifting Galois representations Artin representations complex representations real representations quaternionic representations octonionic representations Clifford representations spin representations Pin covers Spin covers metaplectic covers Brylinski-Deligne extensions Kazhdan extensions Heisenberg extensions Weil representations oscillator representations Segal-Shale-Weil representations dual reductive pairs theta correspondences seesaw dual pairs accidental dual pairs classical dual pairs exceptional dual pairs Lie algebra representations highest weight modules Verma modules Weyl modules Demazure modules Kirillov-Reshetikhin modules crystal bases canonical bases global bases local bases Kashiwara crystals Young tableaux standard tableaux semistandard tableaux jeu de taquin promotion evacuation Schur functions Schur polynomials Hall-Littlewood polynomials Jack polynomials Macdonald polynomials Koornwinder polynomials Askey-Wilson polynomials Wilson polynomials Racah polynomials Hahn polynomials Krawtchouk polynomials Meixner polynomials Charlier polynomials Laguerre polynomials Hermite polynomials Chebyshev polynomials Legendre polynomials Gegenbauer polynomials Jacobi polynomials Bernstein basis Bezier curves splines NURBS B-splines Catmull-Rom splines Hermite splines Akima splines monotone cubic interpolation linear interpolation bilinear interpolation trilinear interpolation nearest-neighbor interpolation barycentric interpolation Lagrange interpolation Newton divided differences Chebyshev nodes Runge phenomenon Gibbs phenomenon overshoot artifacts ringing artifacts aliasing artifacts moire patterns beat phenomena interference patterns diffraction gratings Bragg reflections Laue conditions structure factor calculations crystallographic point groups space groups plane groups rod groups layer groups magnetic space groups superspace symmetries modulated structures composite crystals twinned crystals epitaxial films heterostructures superlattices quantum wells quantum wires quantum dots nanowires nanotubes nanopillars nanocavities photonic crystals phononic crystals acoustic metamaterials mechanical metamaterials electromagnetic metamaterials chiral metamaterials bianisotropic metamaterials hyperbolic metamaterials epsilon-near-zero media mu-near-zero media index-near-zero media gain media saturable absorbers Kerr media chi(2) nonlinearities chi(3) nonlinearities four-wave mixing spontaneous parametric down-conversion stimulated parametric down-conversion optical parametric amplifiers optical parametric oscillators frequency combs mode-locked lasers Q-switched lasers continuous-wave lasers pulsed lasers femtosecond lasers attosecond lasers zeptosecond pulses yoctosecond pulses petawatt lasers exawatt lasers relativistic intensities radiation pressure ponderomotive forces betatron oscillations wakefield accelerators laser-plasma accelerators plasma wakefields beam-driven wakefields dielectric laser accelerators terahertz accelerators muon colliders neutrino factories Higgs factories Z factories top factories bottom factories tau-charm factories super charm-tau factories electron-ion colliders hadron colliders lepton colliders photon colliders gamma-gamma colliders muon-muon colliders proton-antiproton colliders proton-proton colliders nucleus-nucleus collisions heavy-ion collisions quark-gluon plasmas relativistic heavy-ion collisions ultra-relativistic collisions peripheral collisions central collisions participant regions spectators regions nuclear modification factors jet quenching energy loss parton distributions fragmentation functions underlying events pile-up interactions minimum-bias events hard scattering processes soft scattering processes diffractive scattering elastic scattering inelastic scattering deep inelastic scattering structure functions parton densities splitting functions evolution equations Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations Balitsky-Fadin-Kuraev-Lipatov equations Ciafaloni-Catani-Fiorani-Marchesini equations saturation phenomena Color Glass Condensates McLerran-Venugopalan model JIMWLK evolution BK equation geometric scaling gluon saturation shadowing effects Cronin effects nuclear parton distributions nPDF sets EPS09 DSSZ nCTEQ nuclear binding energy corrections Fermi motion nucleon correlations short-range correlations tensor forces three-body forces four-body forces chiral effective field theories pion exchange rho exchange omega exchange sigma mesons scalar mesons pseudoscalar mesons vector mesons axial vector mesons tensor mesons baryons excited baryons resonances Delta resonances N* resonances Lambda resonances Sigma resonances Xi resonances Omega baryons charmed baryons bottom baryons doubly charmed baryons doubly bottom baryons charmed-beauty baryons tetraquarks pentaquarks hexaquarks hadronic molecules loosely bound states virtual states bound states resonance poles Breit-Wigner distributions Flatte parameterizations Dalitz plots amplitude analyses partial wave analyses helicity amplitudes invariant mass spectra missing mass spectra recoil spectra transverse momentum spectra rapidity distributions pseudorapidity distributions azimuthal anisotropies elliptic flow triangular flow quadrangular flow pentagonal flow hexagonal flow higher-order harmonics event-plane correlations multiplicity distributions multiplicity fluctuations net-charge fluctuations conserved charge fluctuations baryon number fluctuations strangeness fluctuations charm fluctuations beauty fluctuations electric charge fluctuations weak isospin fluctuations hypercharge fluctuations lepton flavor violations lepton universality tests rare decays flavor-changing neutral currents flavor-changing charged currents CP violations time-reversal violations parity violations charge-parity violations strong CP problem axion solutions Peccei-Quinn symmetry invisible axions visible axions ALPs dark photons hidden photons massive gravitons brane worlds extra dimensions warped geometries Randall-Sundrum scenarios Arkani-Hamed-Dimopoulos-Dvali scenarios large extra dimensions TeV-scale gravity black hole production microscopic black holes Hawking radiation evaporation temperatures entropies areas horizons Killing horizons event horizons apparent horizons Cauchy horizons cosmological horizons particle horizons Hubble spheres observable universes multiverse landscapes string landscapes anthropic principles fine-tuning arguments naturalness hierarchies gauge hierarchy problem cosmological constant problem dark energy cosmological constant quintessence phantom fields k-essence chaplygin gas interacting dark energy holographic dark energy agegraphic dark energy Ricci dark energy pilgrim dark energy ghost dark energy f(R) gravities scalar-tensor theories Brans-Dicke theories chameleon fields symmetron fields galileon fields k-mouflage theories massive gravity de Rham-Gabadadze-Tolley theories ghost-free gravities bimetric gravity doubly coupled gravity partially massless gravity conformal gravity Weyl gravity Einstein-Cartan theories torsion gravity teleparallel gravity new general relativity f(T) gravities f(Q) gravities symmetric teleparallel gravity metric-affine gravity Palatini formulations hybrid metric-Palatini gravities Gauss-Bonnet gravities Lovelock gravities Horndeski theories beyond Horndeski degenerate higher-order scalar-tensor theories DHOST theories U-DHOST theo