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Early movers that create an uncontested market space frequently deteriorate financially soon after competitors enter, and the deterioration is commonly diagnosed as a financial or execution failure. T…

Early movers that create an uncontested market space frequently deteriorate financially soon after competitors enter, and the deterioration is commonly diagnosed as a financial or execution failure. This article proposes an alternative explanation and the instrument to test it. Drawing on Porter's account of strategy as trade-off, Rumelt's hallmarks of bad strategy, Kim and Mauborgne's blue ocean framework, agency theory, and the technical-debt metaphor from software engineering, the article develops the construct of strategic debt: the deferred cost of strategy fundamentals not built while an uncontested market makes them appear unnecessary, and which is priced, with interest, through identifiable profit-and-loss mechanisms once competition arrives. The article makes three contributions. First, it specifies the construct, its accrual conditions, its pricing trigger, and its boundary conditions, arguing that the invisibility of the cost during the uncontested phase is not a managerial oversight but a structural property of the phase itself. Second, it derives a six-category taxonomy of strategy-foundation gaps covering external measurement, target logic, investment gating, portfolio discipline, channel economics, and contra-revenue governance, each anchored to an established strategy principle. Third, it operationalizes the construct as the strategic gap ledger, a diagnostic instrument that traces each gap through a four-link causal chain from gap to observable managerial behavior to profit-and-loss mechanism to quantified impact, rendering an otherwise abstract deficit measurable in monetary terms. A stylized illustration demonstrates the instrument's application, and six falsifiable propositions are advanced for empirical testing. The framework is conceptual and awaits validation; its practical implication is that the strategy foundation must be built during the uncontested phase, precisely when it appears least necessary, because its absence is priced only after the transition, when remediation costs have multiplied.

This study investigates how computational linguistics terminology performs communicative and pragmatic functions in English and Uzbek scientific discourse. It adopts an exploratory qualitative compara…

This study investigates how computational linguistics terminology performs communicative and pragmatic functions in English and Uzbek scientific discourse. It adopts an exploratory qualitative comparative design and analyzes 21 English-Uzbek term entries representing core concepts in natural language processing, machine translation, corpus linguistics, and contemporary language-model research. The terms are classified according to their principal transfer strategy—international borrowing, calque or hybrid formation, and descriptive or competing translation—and are then interpreted in relation to precision, economy, audience accessibility, conceptual transparency, and compatibility with international research. The analysis shows that the contrast between the two languages is not adequately described as a simple opposition between concise English terms and explanatory Uzbek terms. Instead, Uzbek terminology operates through a layered system in which internationalisms such as token, parser, and transformer coexist with transparent formations such as tabiiy tilni qayta ishlash and so‘z turkumlarini belgilash. First-mention glossing, parallel use of English forms, and hybrid constructions function as pragmatic resources for managing differences in specialist knowledge. The paper argues that future standardization should be evidence-based, concept-oriented, and sensitive to actual disciplinary usage. It also proposes practical principles for building a stable Uzbek terminology resource for computational linguistics.

MRFormal v23 is the Lean 4 formalization accompanying the Moya–Rosendo framework for logarithmically weighted zeta functions. The archive formalizes chain geometry, profile calculus, the concavi…

MRFormal v23 is the Lean 4 formalization accompanying the Moya–Rosendo framework for logarithmically weighted zeta functions. The archive formalizes chain geometry, profile calculus, the concavity core, dominant-pair analysis, reconstruction results, tail bounds, and the two-term model. The package includes the complete Lean source tree, the reproducible Lake configuration, the strict verification script, and the successful verification log and JSON report. It was checked with Lean 4.12.0 and Lake 5.0.0. All local modules compile successfully, all expected compiled artifacts are generated, no sorry, admit, or prohibited local axioms are present, and the strict checker reports zero unique local MRFormal warnings. This record provides the citable and reproducible software companion to the associated mathematical manuscript.

Technical note — Module CT of systemic-tau-formal v0.1.11. A machine-checked confrontation between the Relational Extramental Discrete Clock (RECD) and the absolute continuous time of classical nonequ…

Technical note — Module CT of systemic-tau-formal v0.1.11. A machine-checked confrontation between the Relational Extramental Discrete Clock (RECD) and the absolute continuous time of classical nonequilibrium thermodynamics. Principal formal results (Lean 4, 0 sorry under SystemicTau/): CT-3: global monotonicity of the RECD accumulant is equivalent to nonnegativity of ticks (and gate support). CT-2: sustained anti-synchronization forbids eventual nondecreasing recovery. OP-CT-8 (discrete): no orientation-respecting bridge from reverse-recurrent RECD walks into a classical discrete clock. CT-1: local bi-Lipschitz order embedding in the stable frozen-depth regime (with controlled estimator-noise gap). CT-4A/B: ordinal production ΣRECD ≥ 0 by construction even when the clock recedes; production coincides with net displacement only when the gate is nonnegative. Controlled ContLim hypotheses (H1–H4), immersion, projection, and noise envelopes are recorded at the pathwise discrete level. Empirical series are not used as premises. Research residuals (Schnakenberg bridge CT-4C, probabilistic ContLim, LDP, continuum monoidal functors) are listed as open interfaces, not theorems. Software pin: systemic-tau-formal v0.1.11 — DOI 10.5281/zenodo.21581189 (concept 10.5281/zenodo.21516059). Source path: papers/module-ct-note/ · repository github.com/johelpadilla/systemic-tau-formal.

The two-point Cesàro correlation of the Liouville function, Σ_{n≤X} λ(n)λ(n+h), is studied via a chain of reductions of the binary Goldbach conjecture. The polynomial ide…

The two-point Cesàro correlation of the Liouville function, Σ_{n≤X} λ(n)λ(n+h), is studied via a chain of reductions of the binary Goldbach conjecture. The polynomial identity λ(n)λ(n+h) = λ(n(n+h)) doubles the pretentious distance from D² to 2D², yielding the current unconditional bound O(X/(log X)^c) for a small absolute constant c > 0; the Siegel-zero branch of the correlation analysis is closed unconditionally through the two-point Chowla theorem of Tao and Teräväinen in the presence of an exceptional zero. A bridge to the additive problem is constructed on the pointwise weighted inequality of Wu, with the count side evaluated at the level-of-distribution results of Lichtman at the residue N itself and the twisted side consumed by two sifted cancellation hypotheses stated at the moduli actually used; under these hypotheses, every sufficiently large even N satisfies r(N) ≥ 0.9 C(N) N (log N)^{-2}, the margin of order one and carried entirely by published sieve inputs. Six formulations of the residual gap between the current bound and the correlation targets are established, three of them proved equivalent and the remainder linked by unconditional implications; a Turán–Kubilius decomposition further reduces the four-point Chowla conjecture to a coherent sum of two-prime problems with explicit truncation bounds. Over the function fields F_q[t] every step of the architecture is validated, with exponent 109/72 via the analytic route and square-root cancellation via the geometric route; computational evidence at X ≤ 10^10 supports every quantitative prediction. This version supersedes the previous deposit and should be cited in its place.

This dataset contains the experimental data supporting Figures 4–7 of the manuscript entitled “Photonic Integrated Computing Engine for Concurrent Optical Computing”.

Auto-generated release for v2.1.103 Commit: 617d267b4525fca042aef0601d76010fd8afa90a

Fibrinopurulent peritonitis (FPP) remains one of the most severe and life-threatening forms of intra-abdominal infection, with mortality rates ranging from 20% to 30% despite substantial advances in s…

Fibrinopurulent peritonitis (FPP) remains one of the most severe and life-threatening forms of intra-abdominal infection, with mortality rates ranging from 20% to 30% despite substantial advances in surgical source control, antimicrobial therapy, and intensive care management. The formation of extensive fibrinous deposits and bacterial biofilms within the peritoneal cavity creates a physical and biological barrier that significantly impairs the penetration and effectiveness of systemic antimicrobial agents, promotes persistent infection, enhances local inflammatory responses, and contributes to the development of postoperative adhesions and intra-abdominal abscesses. Objective: To develop and experimentally evaluate the therapeutic efficacy, biocompatibility, and reparative potential of a novel multifunctional composite hydrogel containing levofloxacin, cucumazine, and sodium carboxymethylcellulose (LCSC) for local treatment of fibrinopurulent peritonitis. Materials and Methods: The efficacy study was performed on 84 adult white rats with experimentally induced fibrinopurulent peritonitis using a modified distal cecal ligation and puncture (DCLP) model that closely reproduces the clinical and morphological features of diffuse peritonitis in humans. Animals were randomly assigned to three groups: control (saline lavage), levofloxacin (0.1% levofloxacin solution), and experimental (local application of LCSC hydrogel). Clinical, microbiological, histological, and morphometric assessments were performed on postoperative days 3, 7, 14, and 21. The evaluated parameters included mortality, bacterial contamination of peritoneal exudate, adhesion formation, serosal thickness, fibrosis area, inflammatory cell density, and degree of mesothelial epithelialization. Results: Local administration of the LCSC hydrogel resulted in improvements in the evaluated outcomes compared with standard treatment. Mortality decreased from 41.7% in the control group to 8.3% in the experimental group (p < 0.05). Bacterial contamination of the peritoneal exudate decreased from 10⁵-10⁶ CFU/mL to ≤10⁴ CFU/mL, while exudate volume was reduced by 30-40%. Morphometric analysis demonstrated a 46% reduction in fibrosis area, a 62% decrease in inflammatory cell infiltration, and an increase in epithelialization from 38 ± 5% to 72 ± 6% (p < 0.001). Histological examination revealed accelerated angiogenesis, early maturation of granulation tissue, and restoration of mesothelial integrity; no dense intra-abdominal adhesions were observed by day 21. Conclusions: The newly developed LCSC composite hydrogel demonstrated pronounced antibacterial, fibrinolytic, anti-inflammatory, anti-adhesive, and reparative properties in an experimental model of fibrinopurulent peritonitis. The combination of sustained local antimicrobial delivery, enzymatic fibrin degradation, and promotion of mesothelial regeneration provides a multifactorial pathogenetic effect that may represent a promising strategy for improving the outcomes of local treatment of severe intra-abdominal infections.