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Equation-first research platform

One research question toan SCI paper draft

Editable equations, figures and references, already in place. Read five finished manuscripts right now — no sign-up.

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  • 5published manuscripts
  • 47file formats
  • 4validation axes
  • 11section structure

Public manuscripts · open without signing up

Five finished manuscripts, open without signing up

Real generated manuscripts, published as the PDFs themselves. Each card carries one governing equation and one figure taken from inside the manuscript.

English manuscript59 pages

Convergence dynamics of neural-network loss optimization

Mathematical Modeling and Validation of Convergence Dynamics for Neural Network Loss Optimization

∂P/∂t = ∇·(∇L·P) + ησ²∇²P(G2)
Figure 8 · Condition-sensitivity curve families and the performance landscape
Figure 8 · Condition-sensitivity curve families and the performance landscape
Open PDF
English manuscript61 pages

Coupled analysis of modal stress flow

Numerical Framework for Coupled Analysis of Modal Stress Flow

ρ(∂u/∂t + u·∇u) = −∇p + μ∇²u + ρg(D1)
Figure 7 · Governing-equation fit and discretization error structure
Figure 7 · Governing-equation fit and discretization error structure
Open PDF
Korean manuscript56 pages

Spall growth in wind-turbine main-shaft bearings

축 정렬불량이 풍력터빈 주축 베어링 궤도면 박리 진전에 미치는 영향에 관한 연구

∂C/∂t = D∇²C − kcC − λcCψ(1)
그림 4 · 시뮬레이션 민감도 (±50% 매개변수 스윕)
그림 4 · 시뮬레이션 민감도 (±50% 매개변수 스윕)
Open PDF
Korean manuscript53 pages

Vortex-induced vibration of a long-span footbridge

장경간 보도교 상판의 와류방출 진동 거동 해석 및 제어 방안 연구

∂θ/∂t = Dh∇²θ − khθ(4)
그림 5 · 해공간 탐색과 수렴 거동
그림 5 · 해공간 탐색과 수렴 거동
Open PDF
Korean manuscript54 pages

Thermal-runaway propagation in a battery module

배터리 모듈 내 인접 각형 셀 간 열폭주 전파 해석 및 완화 전략 연구

ρcp ∂T/∂t = ∇·(k∇T) + qtr(G1)
그림 8 · 제조해 수렴: 격자간격 h 대비 이산 L2 오차
그림 8 · 제조해 수렴: 격자간격 h 대비 이산 L2 오차
Open PDF

Swipe sideways to see all five

The output is a draft. Final judgment and responsibility stay with the researcher.

What is inside a manuscript

Not a summary — a draft in submission format

The title, abstract and contents of a recently generated manuscript, shown as they are. The numbers are the actual counts in this manuscript.

9
figures
26
references
6
tables
OMML
Editable equationsFix them directly in the Word equation editor
Generated 2026-09-231 / 22

Multi-Faceted Validation Of Analysis Conditions For Intrinsic Noise In Transcription-Translation-Degradation Rates

Abstract

Single-physics models fail to describe the multiphysics, multi-time-scale behavior of Intrinsic Noise Transcription. We formulate the phenomenon as a coupled PDE/ODE system, discretize it using a finite-difference discretization with Crank-Nicolson time integration under an accelerated iteration scheme, and identify governing-term candidates via automated equation-form search, benchmarked by rediscovery of a known law. Validation is numerical (grid convergence and parameter sensitivity); external experimental validation is left as future work (measured ±50% sweep: κ +86.1%/-24.4%, γ -44.7%/+551.3%, D -6.4

Contents

  1. Introduction
  2. Related Work
  3. Research Hypotheses
  4. Method
  5. Experiments
  6. Results
  7. Discussion
  8. Conclusion

How it is made

From a question to a manuscript in four steps

It does not make text up. It sets up equations that can be computed, checks them, and only then writes.

  1. Input

    Extracts the key variables and constraints from a natural-language question or an uploaded PDF, DOCX, HWPX or PPTX.

  2. Derive

    Builds a coupled PDE system from domain knowledge, turning the research hypothesis into something that can be computed.

  3. Patent pending

    Evolve

    Searches for unknown correction terms with evolutionary symbolic correction to find an improved governing equation.

  4. Validate

    Checks that repeated runs under the same conditions do not wobble, then reviews completeness automatically.

  1. Input
  2. Derive
  3. Evolve
  4. Validate
  5. Manuscript

The step-3 correction method is patent pending (KR 10-2026-0020077 and 3 more). The internal algorithm is not disclosed.

Four axes checked in the final step

Mathematical validation

  • Dimensional consistency
  • Conservation laws
  • Boundary-condition compatibility
  • OMML equation-number audit

Experimental validation

  • Synthetic benchmark fit (R²)
  • Residual analysis

Statistical validation

  • Multi-seed repetition
  • 95% confidence intervals
  • p-values

Document validation

  • 11-section SCI structure
  • Reference existence check

Fields covered today

  • Fluid & Mechanical Engineering
  • Materials & Structures
  • Energy & Batteries
  • Thermal & Information Thermodynamics
  • Basic Science & Space
  • Economics & Game Theory
  • Interdisciplinary Multiphysics

Pricing

Start with free credits, expand when you need to

Signing up gives each program its own free credits. After that, choose a subscription or pay per use.

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  • 3 / day in total
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  • 2 / day per program
  • 6 / day in total
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Enterprise
$99/ mo
  • 10 / day per program
  • 30 / day in total
  • Resets daily

Prices are shown in USD. Payments from Korea are charged in KRW at checkout. Subscription limits reset daily.

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Limit: Unlimited
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Limit: 3 / day
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📄 Convert files: 40 MB / 100 pages
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Limit: 30 / day
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📄 Convert files: 100 MB / 200 pages
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  • ✓ For labs / enterprises
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  • Conversion price (HWPX ↔ DOCX ↔ PDF): pay-per-use $2 / call — cheaper than V140 paper / buz_engin ($3 each).
  • 📥 Input (query) limits — V140 paper / buz_engin upload: 20 MB / 40 pages max (A4 · 11pt font · 160% line spacing). 💡 Tip: Just the title, abstract, and keywords is enough (full body not needed)
  • 📤 Output file limits (A4 · 11pt font · 160% line spacing):
    • Free / Basic / Pay-per-use : 20 MB / 30 pages
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    • Over limit → auto-split (per page) or upgrade recommended
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Paper submission limit12 (on signup, per program)1/day2/day10/day per program
Word (DOCX)✓✓✓✓
HWPX—✓✓✓
LaTeX——✓✓
PPT (incl. IR)———✓
Cover letter automation✓✓✓✓
Figure / Table separation✓✓✓✓
Auto reviewer response—✓✓✓
Personal input DB retention1 mo1 mo1 mo1 mo
Output paper email (2× at 1h interval)✓✓✓✓

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How results are delivered and kept

Two emailsOnce right after generation, and once more about 1 hour later.
Server archiveDownload again for 24 hours on the free trial, or 30 days on a paid plan.
Desktop local vaultWith the desktop app, results are kept permanently in a vault on your PC.

Help

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The chatbot answers first. If that does not solve it, you are connected to a person.

User manual ›

Frequently asked questions

Just sign up. With no payment details, you get 12 free credits for each of the three programs (paper, proposal, conversion) — 36 total. SCI journal matching is free.
We email them twice (right after generation and about 1 hour later), and you can download them again from the server archive for 24 hours on the free trial or 30 days on a paid plan. With the desktop app, they are kept permanently in the local vault on your PC.
OMML equations and table layout are preserved. 47-format conversion across HWPX·DOCX·PDF is supported.
Based on combined usage across the four programs. Choose a subscription (monthly) or pay-per-use (per call).
The base plan handles up to 20MB / 30 pages. The Pro plan supports up to 40MB / 100 pages.
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This service is dedicated to engineering/mathematics research and document conversion. Queries or inputs related to crime, religion, politics, drugs, or violence/weapons are out of scope and will not be processed (popup + voice notice).
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Reference: links to 30 SCI Q1 journals and related topics

SCI Q1 journal reference links (30)

The 30 journals our SCI Submission Matching (M1) most often surfaces as candidates. Final submission is done by you (ToS compliant).

  1. Nature
  2. Science
  3. Cell
  4. PNAS
  5. Nature Communications
  6. Mechanical Systems and Signal Processing
  7. Inverse Problems
  8. Structural Control and Health Monitoring
  9. Structural Health Monitoring (SAGE)
  10. Int. J. for Numerical Methods in Engineering
  11. Computer Methods in Applied Mechanics & Eng.
  12. Engineering Structures
  13. Journal of Sound and Vibration
  14. Nature Materials
  15. Advanced Materials
  16. Acta Materialia
  17. J. of Materials Chemistry A
  18. Nature Machine Intelligence
  19. IEEE TPAMI
  20. Journal of Machine Learning Research
  21. Artificial Intelligence (Elsevier)
  22. Physical Review Letters
  23. Nature Physics
  24. Reviews of Modern Physics
  25. Nature Chemistry
  26. JACS
  27. Angewandte Chemie Int. Ed.
  28. Nature Medicine
  29. The Lancet
  30. NEJM

⚠ These links are for reference only. Compliance with each journal’s terms (ScholarOne / Editorial Manager, etc.) is your own responsibility. This system does not perform automatic final submission.

Related topics

Paper writingIdea generationBusiness proposalsHWPXPDFSCI submissionBayesian SHMSelf-evolving AIInformation geometryDOCXKorean HWPXLibreOfficeSelf-evolvingAI research assistant

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