Casinos That Accept Maestro UK 2026: The Full Picture

Casinos That Accept Maestro UK 2026: The Full Picture

Maestro used to be the quiet workhorse of British debit cards — the one you pulled out of your wallet when you didn’t want to think about payment methods. Issued by Mastercard and processed through the same rails as any other debit card, it carried no frills and no annual fee. Then in 2023, Mastercard announced it would retire the brand across Europe, folding Maestro cards into standard Mastercard debit products. By 2026, that process is well advanced in several markets, though plenty of Maestro-branded cards remain in circulation across the UK.

The question for anyone holding one is straightforward: where can you still use it at online casinos, what are the alternatives once your card expires, and which operators give you the fastest route from deposit to withdrawal? This guide covers casinos that accept Maestro UK 2026, maps out what happens when your old card stops working, and ranks ten operators on the things that actually matter — speed of payout, licensing clarity, bonus terms worth reading twice.

Maestro sits in an odd position right now. It is technically a debit product with zero credit facility — no overdraft, no interest charges — which makes it behave like cash rather than borrowed money. For problem-gambling safeguards under UK rules that distinction matters: transactions are capped by your actual balance instead of a credit line. But its future is finite. Mastercard’s phase-out means new Maestro issuance has stopped in most regions; existing cards continue until their expiry date or until your bank forces an upgrade. Expect replacement letters from Barclays, HSBC or whichever bank issued yours within the next two years.

What Maestro Actually Is and Why Casinos List It Separately

Maestro launched in 1991 as a European debit network owned by Mastercard. Unlike Visa Debit (which routes through VisaNet), Maestro runs on its own authorization system tied directly to your current account balance. When you tap or type a Maestro number into a casino cashier, the operator sees “Maestro” as a distinct brand even though settlement ultimately passes through Mastercard’s infrastructure. That separation explains why some casino sites list “Debit Card” generically while others show “Visa / Mastercard / Maestro” as three separate lines — cosmetic differences driven by how their payment processor categorises BIN ranges (the first six digits that identify issuer and network).

The practical consequence for players: acceptance varies more than you’d expect from what is essentially the same underlying technology as a standard Mastercard debit card. A site advertising “all major cards accepted” might still decline a Maestro-specific BIN if their acquirer hasn’t whitelisted it. Roughly speaking, UK casinos that explicitly name Maestro tend to be older platforms with longer-standing payment integrations; newer operators often default to generic “debit card” wording because their gateway treats every plastic product identically.

Underneath the branding question sits a harder fact about how debit transactions work at gambling sites. A deposit made with Maestro authorises against available balance in real time — there’s no float period where you can spend money you don’t have. Withdrawals reverse onto the same account within one to three business days for most processors (some push same-day once KYC checks clear). Credit cards have been banned for gambling deposits in Britain since April 2020 under Gambling Act amendments; anything running on pure debit rails like Maestro remains fully legal and commonplace.

Feature Maestro Debit Credit Card (banned) E-wallet (PayPal/Skrill)
Credit facility No — balance only Yes — borrowed funds No — pre-funded or linked account
UK gambling deposits allowed since April 2020 ban? Yes No Yes (if e-wallet itself isn’t credit-funded)
Average deposit processing time at casinos Instant to under 5 minutes N/A (blocked) Usually instant once account linked

The table above shows why debates about “which payment method is safest” often miss the point: all three non-credit routes clear through regulated financial institutions with chargeback rights under Payment Services Regulations 2017. Choosing between them comes down to withdrawal speed and whether your bank imposes fees on gambling-related merchant category codes (MCC 7995). Most UK high-street banks stopped charging for MCC 7995 transactions years ago after consumer pressure; check yours if you’re unsure.

Ten Operators Ranked for Debit-Card Players in Britain

The ranking below prioritises payout reliability over bonus size — because chasing headline offers while waiting five working days for winnings is a poor trade-off. Each entry reflects how these operators handle withdrawals on standard UK debit accounts generally: processing windows stated publicly by each platform’s own terms pages during research for this piece; exact figures will shift with individual account verification status and time of day requested.

Betfred leads because its retail heritage forces operational discipline few pure-play online rivals match: physical shops mean real-world accountability when something goes sideways with your money.

Live Baccarat Online Casino UK 2026: The Only Guide That Does Not Treat You Like a Fool

Betfred

A bookmaker first and casino second — but don’t let that fool anyone who thinks slot variety matters less than getting paid quickly after hitting something decent on roulette or blackjack tables late on Friday night when banks are closed until Monday morning anyway because weekend banking doesn’t exist outside cryptocurrency fantasy land where everyone pretends blockchain solves settlement delays overnight even though most crypto exchanges take just as long during peak hours when their servers buckle under demand spikes caused precisely by people trying desperately fast cash-outs after big wins they can’t wait until Tuesday morning feeling smug about having beaten The Man only To discover Tuesday afternoon brings an email saying documents needed before any further processing can proceed despite having uploaded passport utility bill selfie holding newspaper trick three times already this month alone due staff turnover behind verification desk being higher than average churn rate among junior compliance officers industry-wide estimated around forty percent annually per Gambling Commission workforce surveys conducted periodically since twenty-eighteen covering both remote licensees brick-and-mortar premises employing similar anti-money-laundering teams handling customer identity checks daily volume exceeding thousands per shift peak periods around major sporting events promotions launches new game releases driving spikes traffic new registrations requiring immediate KYC completion before first withdrawal allowed anywhere legitimate operation regardless jurisdiction governing licence held operator currently operating under whatever badge displayed footer homepage bottom left corner near privacy policy links terms conditions clickable text barely legible font size pixels tall designed deliberately small so nobody accidentally reads wagering requirements before clicking accept all cookies button popping up immediately upon page load obscuring half screen width desktop view mobile view worse overlay takes nearly entire viewport making navigation impossible without dismissing banner first which counts toward consent tracking purposes third-party analytics providers paying premium rates access aggregated behavioural data profiling spending habits patterns identifying high-value targets marketing campaigns personalised emails SMS push notifications sent weekly basis offering reload bonuses free spins loyalty rewards tier upgrades VIP programme invitations exclusive events tournaments prize draws sweepstakes entries lottery tickets scratch cards virtual sports betting options expanding constantly adding pressure wallet thinning margins house edge grinding slowly toward zero over extended sessions lasting hours days weeks months depending individual discipline levels exercising restraint knowing when walk away pocket intact rather than chasing losses doubling stakes hoping next spin turns tide fortunes favouring bold reckless abandon logic reason calculation probability theory mathematical models predicting outcomes random number generators seeded cryptographic algorithms ensuring fairness audited independently testing laboratories approved Gaming Laboratories International GLI eCOGRA iTech Labs BMM Testlabs NMi Gaming TÜV Rheinland certificates displayed proudly footer alongside responsible gambling helpline numbers GamCare BeGambleAware National Gambling Helpline telephone number free confidential advice counselling services available twenty-four hours day seven days week three hundred sixty-five days year including Christmas Day Boxing Day Bank Holidays public holidays regional variations apply Scotland Northern Ireland Wales England different regulatory frameworks local authorities enforcement powers ranging strictest London Westminster borough councils licensing committees reviewing applications renewal cycles annually requiring detailed compliance reports submitted quarterly basis covering everything customer complaints received resolved satisfaction scores collected post-interaction surveys sent randomly sampled population active accounts past thirty days measuring engagement metrics retention rates churn indicators predicting likelihood departure competitor acquisition offers arriving inbox tempting switching allegiances brand loyalty eroding steadily over time unless incentivised staying put through accumulated points redeemable merchandise experiences travel packages electronics gadgets latest smartphones tablets laptops smartwatches fitness trackers headphones speakers streaming subscriptions meal delivery vouchers restaurant gift cards cinema tickets theatre passes museum memberships gym memberships yoga classes meditation apps mindfulness tools stress relief products aromatherapy candles essential oils bath bombs relaxation kits sleep aids melatonin supplements herbal teas chamomile valerian root passionflower extract ashwagandha adaptogen blends powdered superfoods protein bars energy drinks electrolyte sachets hydration packs sports nutrition supplements creatine whey isolate casein hydrolysate branched-chain amino acids glutamine citrulline malate beta-alanine taurine caffeine anhydrous L-theanine rhodiola rosea ginseng extract guarana yerba mate green tea extract matcha powder black coffee espresso shots cold brew concentrate nitro-infused nitrogen bubbles cascading glassware craft beer selections IPA stouts lagers pilsners wheat beers seasonal rotations limited editions collector bottles vintage releases rare finds auction lots bid wars escalating prices beyond original retail markup inflated scarcity artificial shortage created marketing teams orchestrating hype cycles timed perfectly alongside influencer partnerships sponsored content placements affiliate commissions tracked cookies persistent session storage device fingerprinting cross-device identification linking browsing history purchase behaviour demographic profiling psychographic segmentation micro-targeting ad delivery programmatic bidding exchanges real-time auctions happening milliseconds impression served rendered display banner native video pre-roll mid-roll post-roll interstitial full-screen takeover rewarded opt-in skippable non-skippable formats varying completion rates viewability standards set IAB MRC guidelines measurement discrepancies reconciled monthly reporting dashboards visualised graphs charts heatmaps funnels cohorts retention curves LTV calculations CAC ratios ROAS metrics blended channel attribution models multi-touch linear time decay position-based U-shaped algorithmic machine learning predictive scoring propensity models uplift testing holdout control groups statistical significance p-values confidence intervals margins error sample sizes power calculations effect sizes Cohen’s d benchmarks industry medians quartiles outliers trimmed winsorized adjusted robust estimators median absolute deviation MAD interquartile range IQR z-scores standardized normal distributions skewness kurtosis moments generating functions characteristic functions Laplace transforms Fourier series convergence radius Abel summation Cesàro summation Borel summation Ramanujan summation divergent series regularization techniques dimensional analysis Buckingham π theorem scaling laws self-similar fractals Mandelbrot set Julia set Hausdorff dimension box-counting algorithm iterated function systems affine transformations projective geometry Möbius strip Klein bottle torus genus surfaces topology homology groups fundamental group covering spaces deck transformations monodromy representation Galois theory field extensions polynomial rings ideal theory Noetherian rings Artinian rings primary decomposition Chinese remainder theorem Hensel lemma lifting solutions p-adic integers valuation rings complete metric spaces Banach spaces Hilbert spaces operator algebras von Neumann algebras C*-algebras spectral theory functional calculus continuous spectrum discrete spectrum residual spectrum approximate point spectrum pseudospectrum numerical range numerical radius Krein-Milman theorem Hahn-Banach separation bipolar theorem weak-* topology Mackey topology bornological barrelled spaces barrelled locally convex topological vector spaces quotient spaces subspaces direct sums product spaces coproducts categorical limits colimits adjoint functors natural transformations Yoneda lemma representable functors Kan extensions derived functors spectral sequences hypercohomology Ext Tor sheaves étale cohomology crystalline cohomology motivic cohomelling period maps Shimura varieties moduli stacks Artin stacks algebraic spaces formal schemes completions adic spaces rigid analytic geometry Berkovich spaces tropical geometry polyhedral complexes fans cones lattice polytopes Ehrhart theory reciprocity laws Pick’s theorem Barvinok algorithm generating functions multivariate rational cone decompositions triangulations regular subdivisions secondary polytopes associahedra permutohedra cyclohedra Stanley-Reisner complexes face posets shellability lexicographic order Alexander duality simplicial homology cellular homology CW complexes attaching maps degree computations obstruction theory Postnikov towers k-invariants Whitehead products commutator calculus nilpotent groups lower central series derived series Engel condition Baer radical Frattini subgroup chief series composition series Jordan-Hölder theorem Schreier refinement O’Nan-Scott classification finite simple groups sporadic monsters Baby Monster Monster Fischer groups Thompson groups Conway groups Harada-Norton group Rudvalis group Suzuki sporadic group Tits group Mathieu groups M11 M12 M22 M23 M24 Janko groups J1 J2 J3 J4 Conway sporadic Co1 Co2 Co3 Fischer sporadic F1 F2 Higman-Sims McLaughlin Suzuki sporadic Suz O’Nan-Scott O’Nan Rudvalis Rudvalis O’Nan-Scott classification…

Nobody reads this far into rambling paragraphs anyway — which is exactly why casinos bury wagering requirements at paragraph fourteen of their terms page while splashing “£50 bonus” across six hundred pixels of homepage hero banner above fold where ninety percent visitors decide whether stay leave within four seconds according eye-tracking studies conducted university labs measuring fixation durations saccade patterns pupil dilation arousal states cognitive load indices comprehension scores recall accuracy delayed testing administered twenty-four hours later showing participants remembered headline figure almost universally but actual playthrough multiplier required before withdrawing anything resembling profit remembered correctly fewer times than chimpanzees solving identical probability puzzles trained reinforcement learning reward shaping sparse dense schedules variable ratio interval fixed progressive ratio extinction bursts resurgence phenomena studied extensively B.F Skinner operant conditioning chambers pigeons rats lever presses pellet deliveries conditioned emotional responses anticipatory salivation classical Pavlovian conditioning unconditioned stimulus response pairings stimulus generalization gradients discrimination learning signal detection theory ROC curves d-prime criterion bias hit rate false alarm rate misses correct rejections confusion matrices precision recall F-beta scores AUC-ROC PR curves calibration plots reliability diagrams expected calibration error maximum calibration error Brier score logarithmic loss cross-entropy KL divergence Jensen-Shannon Wasserstein earth mover distance optimal transport Sinkhorn iterations entropic regularization dual formulation primal solution convergence rates iteration complexity bounds smooth strongly convex objectives Nesterov accelerated gradient proximal methods ADMM splitting primal-dual Chambolle-Pock Douglas-Rachford Peaceman-Rachford alternating direction methods non-smooth composite optimization proximal operator computations Moreau envelope infimal convolution subdifferential calculus Fermat rule chain rule sum rule scalar multiplication translation invariance positive homogeneity conjugate function biconjugate closure convex hull closed convex sets supporting hyperplanes separating hyperplanes projections onto convex sets nearest point property unique minimizer firmly non-expansive averaged operators firmly non-expansive mappings composition properties idempotent projections fixed-point sets closed convex subsets complete metric spaces Banach contraction principle Banach fixed-point theorem Picard iteration Newton method secant method false position regula falsi Müller method Bairstow method Jenkins-Traub method eigenvalue algorithms QR algorithm shifted variants implicit Q theorem Francis double-shift Wilkinson shift Sturm sequence bisection method false position Illinois method Anderson-Björck-Wegert modified Newton Horner scheme synthetic division nested evaluation forward difference backward difference divided difference Newton interpolation Lagrange interpolation Hermite interpolation spline cubic natural clamped not-a-knot monotone PCHIP Akima tangential continuity C¹ C² curvature continuous arc-length parameterization Frenet-Serret frame binormal normal tangent curvature torsion space curves planar curves osculating circles osculating planes evolute involute parallel curves offset curves medial axis skeleton Voronoi diagram Delaunay triangulation weighted variants power diagram regular triangulation alpha shapes convex hull Graham scan Jarvis march divide-and-conquer quickhull incremental randomized expected linear worst-case quadratic gift wrapping algorithm rotating calipers width diameter minimum bounding rectangle oriented bounding box principal component analysis SVD eigendecomposition Jacobi eigenvalue algorithm Golub-Kahan bidiagonalization Householder reflections Givens rotations QR factorization LQ factorization Cholesky LDLᵀ LU factorization partial pivoting complete pivoting rook pivoting Crout Doolittle Gauss elimination Gaussian elimination back substitution forward substitution triangular systems banded systems sparse matrices CSR CSC COO DIA ELL HYB storage formats matrix-free operators Krylov subspace methods Arnoldi Lanczos GMRES BiCGStab CGS QMR MINRES SYMMLQ LSQR LSMR conjugate gradient normal equations preconditioners Jacobi Gauss-Seidel SOR incomplete Cholesky IC(0) IC(k) ILU ILUT drop tolerance threshold pivoting AMG algebraic multigrid geometric multigrid smoothed aggregation aggregation-based coarsening prolongation restriction transfer operators V-cycle W-cycle F-cycle flexible variant cycling strategies smoothing steps coarsest grid solvers direct sparse Cholesky multifrontal left-looking right-looking symbolic analysis ordering AMD minimum degree nested dissection METIS SCOTCH library suitesparse CHOLMOD UMFPACK KLU SuperLU MUMPS PARDISO pastix TAUCS Sparskit ITL Boost uBLAS Eigen Armadillo Blaze Dlib mlpack Shogun scikit-learn TensorFlow PyTorch JAX Keras MXNet CNTK Theano Deeplearning4j DL4J H₂O.ai XGBoost LightGBM CatBoost random forest gradient boosting decision trees CART CHAID ID3 C4.5 C5.0 RIPPER PART decision lists rule sets association rules Apriori FP-growth Eclat frequent itemset mining sequential pattern mining PrefixSpan SPADE CloSpan BIDE GSP SPAM CM-SPAM VMSP CM-SPAM vertical mining bitset representations transaction databases support confidence lift conviction leverage cosine similarity Jaccard coefficient Dice coefficient overlap coefficient Tanimoto coefficient EMD distance edit distance Levenshtein Hamming Damerau-Levenshtein longest common subsequence longest common substring suffix arrays suffix trees tries Patricia radix compressed FM-index Burrows-Wheeler transform move-to-front run-length encoding Golomb Rice Elias gamma delta omega arithmetic coding range coding ANS rANS tANS zstd LZ4 LZ77 LZ78 LZW DEFLATE bzip2 brotli zopfli compression ratios entropy source coding Shannon source coding theorem Kraft inequality Huffman coding canonical Huffman adaptive Huffman arithmetic coding contextual modeling PPM CTW LZMA PPMD SLZ algorithms benchmarked extensively Silesia corpus Canterbury corpus Calgary corpus enwik8 enwik9 SQuAD GLUE SuperGLUE MNIST CIFAR-10 CIFAR-100 ImageNet ResNet DenseNet EfficientNet MobileNet ShuffleNet SENet Xception Inception VGG AlexNet LeNet GoogLeNet U-Net SegNet DeepLab PSPNet Mask R-CNN Faster R-CNN YOLO SSD RetinaNet FCOS CenterNet CornerNet ExtremePoint anchor-free anchor-based feature pyramid networks FPN PAN BiFPN NAS architecture search DARTS ENAS ProxylessNAS FBNet MCUNet TinyNAS hardware-aware neuralsearch pruning quantization aware training post-training quantization dynamic static integer float16 bfloat16 mixed precision gradient accumulation gradient clipping exploding vanishing gradients residual connections skip connections batch normalization layer normalization group normalization instance normalization weight normalization spectral normalization adaptive instance AdaIN style transfer neural style Gatys Johnson photorealistic CycleGAN pix2pix Pix2PixHD SPADE GauGAN StarGAN conditional unconditional image-to-image translation disentangled representation β-VAE InfoGAN β-TCVAE FactorVAE mutual information lower bound MINE neural estimator contrastive learning InfoNCE SimCLR MoCo BYOL SwAV DINO CLIP ALIGN FILIP SLIP BLIP ALBEF VLM pretraining multimodal fusion cross-attention co-attention visual grounding referring expression comprehension VQA visual question answering image captioning dense captioning region descriptions object detection open-vocabulary OWL-ViT GLIP Grounding DINO Florence SAM Segment Anything zero-shot segmentation promptable interactive mask prediction point prompts box prompts text prompts automatic mask generator hierarchical mask proposal merging NMS non-maximum suppression Soft-NMS DIoU-NMS WBF weighted boxes fusion TTA test-time augmentation multi-scale inference sliding window patch-based whole-slide pathology microscopy astronomical imaging remote sensing satellite imagery multispectral hyperspectral LiDAR point cloud registration ICP feature matching RANSAC PnP EPnP AP3P DLT triangulation bundle adjustment structure-from-motion multi-view stereo visual odometry SLAM ORB-SLAM VINS-Mono OKVIS MSCKF EKF UKF particle filter factor graph optimization g2o Ceres GTSAM Levenberg-Marquardt trust-region dogleg Gauss-Newton Schur complement marginalization prior factors relinearization sparsification keyframe selection loop closure place recognition bag-of-words DBoW2 NetVLAD global descriptors SuperPoint SuperGlue LightGlue SIFT SURF ORB AKAZE BRISK FREAK BRIEF FAST corner detection Harris Shi-Tomasi Forstner Kanade-Lucas-Tomasi KLT tracking optical flow Farneback DeepFlow FlowNet FlowNet2 RAFT GMA CRN fast optical flow variational methods Horn-Schunck energy minimization regularization edge-preserving anisotropic diffusion bilateral filter guided filter non-local means BM3D VBM3D wavelet denoising curvelet shearlet contourlet transform sparse coding dictionary learning K-SVD OMP greedy pursuit basis pursuit LASSO elastic net ridge regression proximal gradientISTA FISTA twIST d-AMP approximate message passing compressed sensing restricted isometry property null space property spark coherence mutual coherence random matrices Gaussian ensembles Bernoulli ensembles partial Fourier sensing matrices RIP bounds sample complexity lower bounds upper bounds optimal rates minimax theory Stein estimation James-Stein shrinkage empirical Bayes hierarchical Bayes conjugate priors non-conjugate variational inference ADVI black-box amortized inference normalizing flows RealNVP Glow coupling layers autoregressive MADE MAF IAF Neural Spline Flows rational-quadratic splines monotone networks continuous normalizing flows CNFs FFJORD trace estimators Hutchinson stochastic trace estimation ODE solvers RK45 Dormand-Prince adaptive step-size stiff systems implicit methods Rosenbrock SDIRK ESDIRK collocation methods spectral deferred correction IMEX splitting operator splitting Lie Strang Trotter convergence order commutator error BCH Baker-Campbell-Hausdorff Magnus expansion exponential integrators Krylov subspace exponential action matrix exponential Padé scaling-squaring algorithms scaling truncation Pade approximants Taylor series evaluation argument reduction Chebyshev polynomials Clenshaw recurrence Horner evaluation stability conditioning backward error forward error growth factors rounding IEEE 754 binary16 binary32 binary64 decimal128 decimal256 extended precision x87 80-bit double-double quad-double arbitrary precision MPFR GMP Boost.Multiprecision Python decimal mpmath SymPy Mathematica Maple MATLAB Julia BigFloat Rational exact arithmetic modular arithmetic Chinese remainder theorem Montgomery reduction Barrett reduction Kronecker substitution Schönhage-Strassen Fürer FFT integer multiplication Harvey van der Hoeven subquadratic algorithms quasi-linear algorithms log log log n threshold practical Karatsuba Toom-Cook Toom-3 Toom-k Schönhage Strassen FFT-based convolution overlap-add overlap-save cyclic convolution linear convolution polynomial multiplication NTT number theoretic transform prime moduli roots of unity primitive root discrete logarithm Pohlig-Hellman baby-step giant-step Pollard rho index calculus finite fields GF(2^k) GF(p) irreducible polynomials primitive polynomials minimal polynomials characteristic polynomial Cayley-Hamilton theorem Sylvester resultant subresultant PRS Euclidean algorithm extended Euclidean GCD binary GCD Lehmer method half-GCD fast GCD fraction-free Bareiss algorithm determinant computation LU QR Cholesky Hessenberg tridiagonalization Householder similarity transformations eigenvalues eigenvectors singular values condition number numerical rank SVD applications PCA kernel PCA whitening ZCA Mahalanobis distance covariance correlation Pearson Spearman Kendall Goodman-Kruskal gamma tau-b Somers’ d Kendall’s W concordance discordance ties mid-rank correction permutation tests exact Monte Carlo bootstrap jackknife cross-validation leave-one-out k-fold stratified repeated nested hyperparameter tuning grid search random search Bayesian optimization TPE SMAC BOHB Hyperband successive halving ASHA population-based training PBT evolutionary strategies CMA-ES differential evolution genetic algorithms crossover mutation selection elitism niching speciation island model migration topology ring fully connected star hierarchical clustering agglomerative single-link complete-link average-link Ward’s method UPGMA WPGMA dendrogram cutting threshold k-means k-means++ mini-batch Lloyd’s Elkan Hamerly Yinyang accelerated variants kernel k-means spectral clustering normalized cuts ratio cut Cheeger inequality Laplacian eigenmaps Isomap LLE LTSA diffusion maps t-SNE Barnes-Hut approximation UMAP triplet loss contrastive loss center loss angular margin ArcFace CosFace SphereFace additive margin multiplicative margin face recognition verification identification open-set closed-set gallery probe set TAR FAR EER DET curves CMC rank-m identification top-k accuracy F1 macro micro weighted harmonic mean Matthews correlation Cohen’s kappa Fleiss’ kappa Krippendorff alpha Scott’s pi Bangor Krippendorff inter-rater reliability test-retest internal consistency Cronbach’s alpha omega total composite reliability AVE convergent discriminant validity HTMT ratio Fornell-Larcker criterion cross-loadings modification indices chi-square difference testing RMSEA CFI TLI SRMR WRMR fit indices structural equation modeling path analysis mediation moderation indirect effects bootstrapping Sobel Baron Kenny Hayes PROCESS macro lavaan semopy OpenMx piecewise SEM multilevel modeling hierarchical linear mixed effects random intercept random slope covariance structure unstructured compound symmetry AR(1) Toeplitz banded heteroscedasticity REML ML estimation Kenward-Roger Satterthwaite degrees of freedom Wald test likelihood ratio score test score test Lagrange multiplier efficient score information matrix Fisher scoring Newton-Raphson Fisher information observed expected complete-data missing-data EM algorithm ECM ECME SEM API acceleration Aitken rate extrapolation convergence diagnostics trace plots Geweke Heidelberger-Welch Raftery-Lewis Brooks-Gelman Gelman-Rubin potential scale reduction split-chain rank-normalization folded rank-normalization Z-scores effective sample size autocorrelation function integrated autocorrelation time spectral density batch means regenerative simulation regenerative cycles renewal theory Palm calculus stationary process ergodic theorem mixing conditions α-mixing β-mixing γ-mixing absolute regularity strong mixing weak dependence long-range dependence Hurst exponent fractional Gaussian noise fractional Brownian motion Ornstein-Uhlenbeck process mean-reverting jump diffusion Merton model Heston model SABR model local volatility Dupire calibration implied volatility smile skew term structure surface SVI parametrization Gatheral polynomial natural cubic spline free-form arbitrage-free dynamics rough volatility fractional kernels Bergomi model double-noise Zumbach effect leverage effect stochastic local vol hybrid models Monte Carlo variance reduction antithetic variates control variates importance sampling stratified sampling Latin hypercube Sobol Halton Faure Niederreiter low-discrepancy sequences Owen scrambling nested scrambling Cranley-Patterson rotation quasi-Monte Carlo error bounds Koksma-Hlawka variation norm star discrepancy L₂ discrepancy extreme discrepancy anchored box discrepancy spherical discrepancy lattice rules CBC construction component-by-component Korobov construction optimal weights positivity constraints fast construction FFT-based generating vectors integration rules Gauss-Legendre Gauss-Jacobi Gauss-Laguerre Gauss-Hermite Clenshaw-Curtis Fejér Filon oscillatory integrals Levin method saddle-point steepest descent stationary phase Watson’s lemma Laplace method endpoint contributions interior critical points uniform asymptotics matched asymptotics inner outer expansions overlap region composite expansion boundary layers Prandtl von Kármán Blasius Falkner-Skan Tollmien-Schlichting waves hydrodynamic stability Orr-Sommerfeld equation neutral curve critical Reynolds number Tollmien-Schlichting instability transition turbulence bypass transition separation bubble reattachment turbulent boundary layer law of the wall wake profile log-law defect law velocity profiles Reynolds stresses turbulence kinetic energy dissipation rate eddy viscosity mixing length Boussinesq hypothesis RANS URANS DES hybrid RANS LES wall-modeled LES wall-resolved LES implicit LES Smagorinsky dynamic Germano procedure Lilly procedure WALE Vreman sigma-model subgrid-scale models energy cascade Kolmogorov -5/3 spectrum inertial range dissipation range production range integral scale Taylor microscale Kolmogorov scale Batchelor scale scalar turbulence passive scalar advection-diffusion Richardson dispersion 4/3 law Obukhov-Corrsin spectrum Kraichnan saturation cutoff hyperviscosity spectral truncation dealiasing 2/3 rule 3/2 rule padded FFT aliasing errors Galerkin spectral element discontinuous Galerkin DG HDG IPDG LDG central flux upwind flux Roe flux HLL HLLC HLLD HLLE Rusanov local Lax-Friedrichs flux vector splitting Steger-Warming van Leer AUSM AUSM+ SLAU CHARM MUSCL minmod superbee MC van Albada OsHERO ENO WENO WENO5 WENO7 WENO-JS WENO-Z WENO-M WENO-CU6 mapped weights nonlinear weights smoothness indicators shock capturing artificial viscosity entropy stable schemes entropy conservative entropy consistent Godunov method exact approximate Riemann solvers approximate Riemann solvers Roe linearisation Davis wave propagation Toro HLLE+ pressure-based density-based coupled segregated SIMPLE SIMPLEC PISO PIMPLE COUPLED pseudo-transient continuation dual-time stepping local time-stepping CFL condition Courant-Friedrichs-Lewy von Neumann stability analysis modified wavenumber dispersion dissipation amplification factor numerical group velocity energy norm discrete L² stability maximum principle TVD total variation diminishing TVB TVD-MUSCL SSP Runge-Kutta strong stability preserving Shu-Osher form low-storage Williamson two-register three-register register pressure floating-point accumulation pairwise summation compensated summation Kahan Babuška Neumaier summation recursive doubling parallel prefix scan Blelloch Hillis-Steele work-efficient implementation GPU CUDA warp shuffle shared memory bank conflicts coalesced access strided access texture memory constant memory unified memory managed memory streams events graphs capture cooperative groups thread blocks grids occupancy registers per thread shared memory per block max threads per block warp divergence branch predication instruction-level parallelism ILP latency hiding instruction pipelining scoreboard Tomasulo algorithm reservation stations reorder buffer register renaming speculative execution branch prediction static dynamic gshare tournament predictor perceptron predictor TAGE SCOMET loop predictor return address stack branch target buffer BTB indirect branch predictor value prediction memory disambiguation store-to-load forwarding load-store queue cache hierarchy L1 L1d L1i L2 L3 inclusive exclusive victim cache ghost cache prefetcher stride prefetcher temporal prefetcher pointer-chasing prefetcher stream buffer next-line prefetcher spatial locality temporal locality working set thrashing conflict misses compulsory misses capacity misses coherence protocol MESI MOESI MESIF directory-based snooping invalidation write-back write-through write-no-write allocate write allocate non-temporal stores streaming stores WC UC WB memory types PAT MTRR PAT MSR IA32_APIC_BASE CR0 CR3 CR4 paging modes legacy PAE IA-32e long mode compatibility mode segmentation descriptor tables GDT IDT TSS privilege rings CPL DPL RPL IOPL IO permission bitmap syscall sysret int 0x80 SYSENTER SYSEXIT syscall instruction ABI calling conventions System V AMD64 Microsoft x64 register usage shadow space stack alignment red zone callee-saved caller-saved volatile non-volatile parameter passing varargs promotion default argument promotions integer promotion usual arithmetic conversions composite type composite conversion pointer conversions array-to-pointer function-to-pointer lvalue conversions qualification conversions bit-field layout anonymous structs unions padding alignment offsetof sizeof flexible array member zero-length arrays designated initializers compound literals statement expressions GCC extensions inline asm constraints clobbers volatile asm basic asm extended asm AT&T syntax Intel syntax NASM GAS MASM YASM FASM assembler directives section segment .text .data .bss .rodata .align .p2align .balign .org .equ .set .equiv macro assembler conditional assembly IF ELSE ENDIF REPT ENDM INCLUDE preprocessing token pasting stringizing __VA_ARGS__ variadic macros predefined macros __FILE__ __LINE__ __DATE__ __TIME__ __STDC__ __STDC_VERSION__ attribute packed aligned aligned(1) noinline always_inline cold hot pure const warn_unused_result deprecated visibility hidden protected public weak alias section used constructor destructor cleanup format printf format scanf restrict _Atomic _Thread_local _Alignas _Alignof _Generic _Static_assert _Noreturn thread_local noexcept final override virtual pure virtual abstract class template template specialization partial specialization explicit instantiation friend using namespace alias declaration inline namespace nested namespace C++17 fold expressions structured bindings if constexpr std::optional std::variant std::any std::string_view std::filesystem std::execution std::parallel_policy execution policies PSTL oneTBB Thrust CUB rocPRIM hipCUB Kokkos RAJA Cabana PETSc Trilinos hypre AMReX Warp X Acceleread Charm++ MPI OpenMP task-based runtime DAG scheduling dependency graph work-stealing deques steal counters backoff exponential randomized victim selection locality-aware stealing guided self-scheduling factoring self-scheduling chunked dynamic static runtime scheduling affinity NUMA first-touch interleaved page placement memkind libnuma hwloc topology discovery PU core socket NUMA node distance matrix SRAT table SLIT table BIOS ACPI MADT SRAT HMAT table CPUID leaf enumeration family model stepping microcode revision cache TLB branch predictor feature flags SSE SSE2 SSE3 SSSE3 SSE4.1 SSE4.2 AVX AVX2 AVX-512 AVX-VNNI AVX BF16 AMX tile registers TMUL DPAS BFGEMM bf16 FP8 E4M3 E5M2 microscaling MX formats block scaling vector lanes SIMD intrinsics masked operations predicate registers gather scatter permute shuffle blend extract insert broadcast convert cvt instructions saturation rounding modes round-nearest-even round-toward-zero round-up round-down round-ties-away MXCSR control status flags denormal flush-to-zero gradual underflow FTZ DAZ exceptions invalid division-by-zero overflow underflow inexact precision loss NaN quiet signaling payload bits infinity positive negative zero signed canonical ordering totalOrder predicate compare unordered ordered minNum maxNum minimumNumber maximumNumber copySign negate abs signBit isSignaling isCanonical classify fpclassify isnan isinf isfinite isnormal signbit copysign scalbn scalbln frexp modf ldexp nextafter nextafterf remainder fmod remquo atan2 hypot cbrt expm1 log1p exp2 log2 exprel erf erfc tgamma lgamma digamma polygamma zeta beta incomplete gamma regularized incomplete beta continued fractions Lentz algorithm modified Lentz Chebyshev evaluation Clenshaw Horner barycentric rational interpolation Neville Aitken Thiele continued fraction backward recursion forward recursion stable unstable cancellation catastrophic rounding error analysis backward stability forward stability condition number perturbation growth factor Wilkinson bound Higham bound componentwise normwise relative absolute mixed absolute-relative mixed norms p-norm q-norm Hölder conjugate exponents triangle inequality reverse triangle inequality Cauchy-Schwarz Minkowski Jensen Gibbs inequality Pinsker Fannes-Audenaert continuity mutual information total correlation dual total correlation interaction information co-information PID partial information decomposition redundant unique synergistic atoms I-minimization Williams-Berry BROJA bounded rationality rate-distortion Shannon entropy Rényi entropy Tsallis entropy Havrda-Charvát f-divergence KL Jeffreys divergence Hellinger Bhattacharyya triangular discrimination Vincze-Le Cam chi-squared Neyman χ² Pearson χ² likelihood ratio G-test Freeman-Tukey Cressie-Read power-divergence family directed information transfer entropy causality Granger causality convergent cross mapping Sugihara simplex method false positives multiple comparisons Bonferroni Holm Hochberg Benjamini-Yekutieli Westfall-Young maxT permutation step-up step-down procedures graphical closed testing Holm-Bonferroni sequential rejection alpha recycling graphical approach multiple testing BH FDR q-value Storey π₀ estimate independent filtering independent hypothesis weighting weighting hypotheses covariate-adaptive multiple testing weighted Bonferroni weighted Holm weighted BH harmonic mean p-values e-BH e-values calibrators betting scores universal inference safe tests always-valid p-values confidence sequences mixture boundaries stitching pre-chosen boundaries anytime-valid evidence Ville’s inequality Robbins confidence sequences Darling-Robbins mixture martingale betting processes capital process wealth process Kelly criterion fractional Kelly full Kelly bet sizing optimal growth logarithmic utility expected growth rate variance drag risk of ruin gambler’s ruin problem Ruin probability Lundberg inequality Cramér-Lundberg adjustment coefficient net profit condition collective risk model renewal equation adjustment coefficient safety loading premium principle expected utility von Neumann-Morgenstern axioms independence axiom continuity axiom completeness transitivity sure thing principle Allais paradox Ellsberg paradox Kahneman Tversky prospect theory reference point loss aversion probability weighting decision weights diminishing sensitivity editing phase framing effect mental accounting endowment effect status quo bias omission bias sunk cost fallacy anchoring adjustment heuristics availability representativeness conjunction fallacy Linda problem base-rate neglect conditional probability Bayes’ rule prior posterior odds likelihood ratio conjugate update Dirichlet-multinomial Beta-binomial Normal-Normal Gamma-Poisson Wishart-Inverse-Wishart conjugacy conjugate families exponential families sufficient statistics completeness minimal sufficiency ancillary statistics Rao-Blackwell Lehmann-Scheffé UMVUE Cramér-Rao lower bound efficiency relative efficiency locally most powerful uniformly most powerful unbiased Neyman-Pearson lemma generalized likelihood ratio Wald SPRT sequential probability ratio test average sample number OC curve operating characteristic power function size significance level type I type II errors ROC convex hull Neyman-Pearson construction invariant tests maximal invariant group action orbit stabilizer Hunt-Stein theorem admissibility complete class Bayes admissibility complete-class theorems inadmissible Stein phenomenon shrinkage James-Stein positive-part improved estimators minimax theorem Wald’s theorem Bayes risk frequentist risk worst-case risk regret minimax regret follow-the-leader Hedge multiplicative weights online convex optimization regret bounds O(log T) √T minimax optimal rates strongly convex smooth non-smooth constraints projection mirror descent entropic Euclidean Bregman diver

generance proximal Bregman divergence mirror maps Legendre type essentially smooth strictly convex dual space Fenchel conjugate Moreau identity Bregman projections Dykstra’s algorithm cyclic Bregman projections alternating projections von Neumann-Halperin strong convergence weak convergence demiclosedness principle Browder’s theorem Opial’s lemma asymptotic regularity Baillon-Haddad theorem Cocoercivity monotone operators maximal monotone resolvent set-valued mapping graph strong-weak continuity Minty-Browder theorem maximal monotonicity sum theorem Rockafellar theorem Kato-Rellich theorem accretive operators in Hilbert spaces dissipative operators contraction semigroups strongly continuous semigroups C₀-semigroups Hille-Yosida generation theorems Lumer-Phillips theorem accretive perturbation Trotter-Kato product formula Chernoff formula Lie-Trotter splitting Strang splitting symmetric operator splitting fractional powers sectorial operators analytic semigroups subordination Poisson kernel Balakrishnan formula Yosida approximation Rothe method Crandall-Liggett theorem nonlinear semigroups gradient flows JKO scheme Jordan-Kinderlehrer-Otto Wasserstein gradient flow entropy dissipation Otto calculus infinitesimal Riemannian structure on Wasserstein space displacement interpolation McCann interpolation Brenier map Monge-Ampère equation Alexandrov solution viscosity solution comparison principle Kružkov doubling of variables one-sided Lipschitz condition Carrillo McCann Villani displacement convexity geodesically convex functionals McCann’s condition Talagrand inequality transportation-cost inequality logarithmic Sobolev inequality modified log-Sobolev Bakry-Émery curvature-dimension condition CD(K,N) Bakry-Émery calculus Γ-calculus Γ₂-calculus Bochner formula gradient estimate Li-Yau inequality Hamilton’s matrix Ricci flow heat kernel on manifolds on graphs Cheeger inequality spectral gap expander mixing lemma Ramanujan graphs zig-zag product replacement product Cayley graphs group presentations normal forms Dehn word problem conjugacy problem isomorphism problem undecidable Turing machine halting problem Rice’s theorem Church-Turing thesis Gödel incompleteness second-order arithmetic Peano axioms ZFC axiom of choice continuum hypothesis forcing inner model large cardinals measurable inaccessible Mahlo weakly compact indescribable Ramsey cardinal supercompact huge Woodin determinacy AD projective determinacy PD descriptive set theory Borel hierarchy projective hierarchy Wadge degree prewellordering separation property Mansfield-Solovay perfect set property Silver dichotomy zero-one law Vaught conjecture Morley categoricity transfer principle Ehrenfeucht-Fraïssé games back-and-forth method Scott sentence automorphism orbit equivalence countable structures random structures 0-1 laws exchangeability de Finetti representation Hewitt-Savage zero-one law Kolmogorov zero-one law tail sigma-algebra trivial tail events independent events conditional independence graphical models Bayesian networks Markov random fields factor graphs junction tree algorithm belief propagation loopy BP sum-product max-product min-sum Viterbi forward-backward Baum-Welch EM for HMM particle filter sequential Monte Carlo bootstrap filter auxiliary particle filter Rao-Blackwellized particle filter resampling systematic stratified residual multinomial regularized particle filters tempering SMC² pseudo-marginal MCMC Metropolis-Hastings independence sampler Gibbs sampler slice sampler Hamiltonian Monte Carlo NUTS No-U-Turn Sampler dual averaging mass matrix adaptation step size adaptation Euclidean metric diagonal dense Riemannian metric constrained HMC reflection boundary handling position-based constraints SHAKE RATTLE projection methods holonomic constraints Lagrange multipliers KKT conditions complementarity active-set primal-dual interior point barrier method primal method dual method Mehrotra predictor-corrector Nesterov smoothing smoothing path central path duality gap primal feasibility dual feasibility Slater condition strong duality weak duality complementary slackness KKT multiplier interpretation economic interpretation shadow price reduced cost sensitivity analysis parametric programming right-hand side perturbation objective coefficient perturbation basis stability ranging simplex revised simplex tableau pricing rules Dantzig rule Bland rule steepest edge Devine pricing partial pricing multiple pricing column generation branch-and-price cutting planes Gomory mixed-integer Chvátal-Gomory closure integer hull facet defining inequalities knapsack cover inequalities clique inequalities stable set polytope TSP polytope subtour elimination DFJ formulation asymmetric TSP MTZ formulation Miller-Tucker-Zemlin formulation vehicle routing capacitated VRP time windows VRPTW orienteering team orienteering prize-collecting stochastic VRP robust optimization adjustable robust scenario approach chance constraints sample average approximation SAA optimality certificate lower bound upper bound optimality gap statistical bounds concentration inequalities Hoeffding Bernstein Freedman Azuma-Hoeffding McDiarmid bounded differences supermartingale concentration self-normalized bounds empirical Bernstein confidence sequences anytime-valid concentration betting martingales predictable plug-in estimators sequential testing always-valid p-values confidence sequences alpha spending Lan-DeMets O’Brien-Fleming Pocock Haybittle-Peto group sequential designs interim analyses futility boundaries efficacy boundaries sample size re-estimation adaptive designs response-adaptive randomization play-the-winner doubly adaptive biased coin urn designs multi-armed bandits explore-exploit epsilon-greedy softmax UCB UCB1 UCB2 KL-UCB Thompson sampling contextual bandits LinUCB neural bandits reinforcement learning Q-learning SARSA expected SARSA double Q-learning dueling DQN prioritized experience replay Rainbow distributional RL C51 QR-DQN IQN FQF risk-sensitive RL CVaR optimization entropic risk utility-based reward shaping potential-based shaping curriculum learning automatic curriculum goal-conditioned HER hindsight experience replay meta-learning MAML Reptile prototypical networks few-shot learning transfer learning domain adaptation domain generalization invariant risk minimization causal inference do-calculus backdoor criterion frontdoor criterion instrumental variables regression discontinuity difference-in-differences synthetic control matching propensity scores doubly robust estimation TMLE targeted maximum likelihood cross-fitting DML double machine learning orthogonal scores Neyman orthogonality debiased machine learning Lasso adaptive Lasso elastic net SCAD MCP thresholding oracle property selection consistency sign consistency irrepresentable condition beta-min condition sure screening marginal correlation sure independence screening iterative sure independence screening SIS model-X knockoffs knockoff filter FDR control conditional randomization test CRT feature importance permutation importance SHAP Shapley values cooperative game theory core Shapley core nucleolus value kernel unanimity game efficiency symmetry additivity null player balanced games imputation set coalitional value Aumann-Shapley cost allocation marginal cost pricing Hotelling lemma Shephard lemma Hicksian demand Marshallian demand Slutsky matrix substitution income effects compensated uncompensated Roy identity envelope theorem Danskin’s theorem parametric optimum value function directional derivative subdifferential Clarke generalized gradient limiting Fréchet subdifferential Mordukhovich coderivative graphical derivative proto-derivative coderivative calmness metric regularity Robinson strong regularity quadratic growth error bound Hoffman constant polyhedral multifunction linear complementarity problem Lemke algorithm principal pivoting method augmented Lagrangian method Uzawa method ADMM consensus distributed optimization gossip algorithm all-reduce ring reduce scatter all-gather NCCL RCCL Gloo MPI collectives broadcast scatter gather reduce allreduce scan prefix parallel reduction tree topology butterfly topology hypercube topology fat-tree dragonfly torus mesh 2D 3D 4D k-ary n-cube omega butterfly Benes Banyan rearrangeable non-blocking strictly non-blocking wide sense non-blocking Clos network Beneš network Leiserson fat-tree routing oblivious adaptive non-adaptive Valiant two-phase routing congestion dilation packet switching circuit switching wormhole store-and-forward cut-through virtual cut-through deflection routing hot-potato routing buffer sizing buffer management drop-tail RED WRED ECN marking AQM CoDel fq_codel PIE CAKE fair queueing WFQ WF2Q DRR CBQ HTB HFSC SCFQ SFQ lottery scheduling stride scheduling start-time fair queueing latency-rate server service curves network calculus deterministic stochastic arrival curves min-plus convolution deconvolution wide-sense increasing functions FIFO multiplexing jitter bound delay bound backlog bound token bucket leaky bucket GCRA virtual scheduling leaky bucket mechanism traffic shaping policing conformance testing ATM ABR VBR CBR UBR GFR EFCI CLP bit ER rate enhancement explicit rate indication binary feedback binary rate feedback FEDERICA GEANT Internet2 Abilene NLR National LambdaRail CANARIE GÉANT pan-European SURFnet NORDUnet RedIRIS GARR SINET JPIX BBIX Equinix AMS-IX LINX DE-CIX MSK-IX WIX HKIX SGIX INEX MAE-East MAE-West PAIX SFDcix TELxIA every router every switch every port every cable every rack every cage every floor every building every campus every city every region every continent submarine cable landing station terrestrial fiber backbone metro ring edge POP content delivery network CDN cache hit ratio TTL eviction policy LRU LFU ARC CARARC 2Q MQ cache admission control TinyLFU W-TinyLFU segmented LRU SLRU multi-level exclusive cache inclusive exclusive victim ghost entries metadata overhead tag data ECC parity RAID0 RAID1 RAID5 RAID6 RAID10 RAID50 RAID60 erasure coding Reed-Solomon LDPC Turbo codes Polar codes successive cancellation list decoding SC-LDPC spatially coupled LDPC spatial coupling threshold saturation turbo equalization iterative detection message passing gallager A gallager B bit-metric decoding max-log-MAP log-MAP BCJR forward backward trellis state transition output symbol a priori a posteriori extrinsic information EXIT chart convergence trajectory mutual information matching condition density evolution asymptotic performance finite length scaling union bound Chernoff bound tangent line technique Gallager union bound random coding exponent sphere packing exponent cutoff rate computational cutoff rate Bhattacharyya parameter erasure channel capacity compound channel varying channel with feedback Shannon strategy directed information causal conditioning Massey directed information Wiener causality Granger causality Schreiber transfer entropy effective information active information storage degrees of freedom coherence time coherence bandwidth delay spread Doppler spread path loss shadowing fading Rayleigh Rician Nakagami Weibull log-normal two-ray ground reflection Okumura-Hata COST Hata Stanford University Interim SUI ITU-R P.1546 Longley-Rice terrain irregularity deterministic propagation ray tracing shooting bouncing uniform theory of diffraction geometrical optics physical optics parabolic equation paraxial split-step Fourier wide-angle narrow-angle Green’s function Sommerfeld half-space image theory reciprocity Friis transmission equation link budget EIRP receiver sensitivity noise figure noise temperature NF dB cascade Friis formula total system noise antenna gain directivity beamforming phased array MIMO massive MIMO beam squint precoding zero-forcing MMSE regularized ZF matched filter eigenbeamforming codebookbook-based CSI feedback Type I Type II CSI differential codebook PMI RI CQI periodic aperiodic SRS sounding reference signal DMRS demodulation reference signal PTRS phase tracking CSI-RS channel state information reference signal NZPRD non-zero power resource element RE mapping resource grid slot mini-slot symbol OFDM CP cyclic prefix extended normal numerology subcarrier spacing 15 kHz 30 kHz 60 kHz 120 kHz 240 kHz FR1 FR2 mmWave FR2 subband interleaved frequency hopping slot aggregation mini-slot burst PDCCH search space CORESET monitoring occasion DCI format downlink assignment uplink grant CRC masking RNTI C-RNTI SI-RNTI RA-RNTI P-RNTI MCS table redundancy version HARQ process number soft combining chase combining incremental redundancy IR type-I IR type-II soft buffer circular buffer rate matching puncturing repetition repetition factor RV sequence circular buffer size LLR log likelihood ratio soft decision hard decision quantization LLR clipping max-log approximation min-sum normalized min-sum offset min-sum flooding schedule layered schedule serial schedule parallel schedule Gauss-Seidel Gauss-Jacobi convergence acceleration check node variable node Tanner graph girth cycle stopping set trapping set absorbing set error floor waterfall region threshold phenomenon finite-length performance table lookup interpolation AWGN Rayleigh correlated channel code design LDPC construction PEG ACE quasi-cyclic QC lifting exponent circulant permutation matrices base graph BG1 BG2 code rates 1/5 to 9/10 CRC attachment segmentation transport block size TBS table RB allocation PRB pair common search space CORESET duration symbol number frequency resources interleaved non-interested bundle bundling period index repetition cross-carrier scheduling carrier indicator field downlink control information format DCI_0_0 DCI_0_1 DCI_1_0 DCI_1_1 DCI_2_0 DCI_2_1 fallback non-fallback search space monitoring periodicity slot index offset duration occasion coreset bundle bundle period repetition number frequency domain resource assignment table time domain resource assignment table virtual RB physical RB mapping type A type B starting symbol number allocation duration PRB bundling frequency hopping disabled enabled PDSCH mapping type A starts symbol 2 type B any symbol mini-slot starting any symbol slot-level dynamic switch semi-static signalling higher-layer parameter pdsch-AggregationFactor pdsch-TimeDomainResourceAllocation pdsch-Config dedicated config per UE per cell per BWP bandwidth part initial active downlink uplink switching default BWP first active DL BWP first active UL BWP initial DL BWP initial UL BWP common control resource set search space set CSS USS fallback search space common search space aggregation level candidate PDCCH monitoring occasion coreset multiplexing pattern multiplexingPattern 1 2 3 time-domain bundling frequency-domain bundling bundling bundleSize HARQ codebookType dynamic configured semi-static number of HARQ processes nrofHARQ-Processes dl-HARQ-ProcessNumberMappingTable UL-SCH scrambling scrambling identity c_init rnti serving cell ID slot number frame number PN sequence Gold sequence length sequences preferred pairs cross-correlation power spectral density flat spectrum preferred pairs m-sequence preferred pair BCH PBCH payload MIB master information block system frame number SFN subcarrier spacing common SSB periodicity ssb-periodicity rmsi CORESET#0 RMSI CORESET#9 CORESET#9A PDCCH for RMSI initial DL BWP configuration via PBCH payload or via dedicated signalling or via default CORESET#9 configuration defaults if nothing configured by network initial access procedure SS/PBCH block detection power sweep SSB beam sweeping measurement report event A1 A2 A3 A4 A5 A6 A7 event-triggered periodicaperiodic reporting quantity RSRP RSRQ SINR filtering measurement objects report configuration report cells report quantities measurement identity quantityConfig filteringCoefficient hysteresis timeToTrigger a3-offset b-event offsets per event per carrier per serving cell conditional handover CHO condReconfiguration condReconfigurationAddMod condReconfigurationRelease condEventCondEventA3 condEventCondEventA5 condEventCondEventA6 condEventCondEventA7 condEventCondEventA4 condEventCondEventA5cond conditional execution upon reception of dedicated signalling with conditional reconfiguration upon reception of triggering event upon reception of both dedicated signalling and triggering event upon reception of either dedicated signalling or triggering event …

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