每個技術專案，都標示其證據層級。

拱北口岸無障礙多模式路線規劃

以人群差異為核心，研究斜坡、樓梯、轉乘、擠迫及升降機缺失如何改變口岸樞紐內的路線。

Allee 風險下的自適應採收

一項已驗證的隨機族群研究，比較固定、比例與保護線採收在非線性崩潰門檻附近的表現。

美式賣權自由邊界核證

一項可重現障礙 PDE 研究，求解美式賣權履約邊界，並以三種數值方法核證價格、Greeks、收斂與互補條件。

圖結構校準的電池組熱故障預警

在溫度感測器漂移或失去訊號時，以校準的 graph-CUSUM 基準研究局部電池組熱故障預警。

差異黏附細胞分選審核

以可重現細胞 Potts 研究區分鄰接分選與空間包覆，並檢驗黏附、運動性、初態、能量及細胞形狀合理性。

量綱約束方程發現

以已知物理定律建立受控基準，測試具單位感知的單項式符號回歸。

藥物溶出模型層級

可重現比較經驗釋放定律、有限 sink 球形擴散與移動前沿動力學，並審核模型選擇及參數可辨識性。

遺傳漂變、選擇與遷移

一項已驗證的 Wright–Fisher 研究，把固定勝算、遷移—選擇平衡與短暫瓶頸造成的多樣性損失分開。

生長區域中的 Turing 圖樣拓撲

以經驗證的 Schnakenberg 反應—擴散模型，追蹤一維區域生長時圖樣峰值的誕生、分裂與消失。

厚尾金融風險壓力測試

在波動聚集、槓桿效應、Student-t 創新與罕見負跳躍下，可重現比較 VaR 及預期損失。

異質形態彈性摺疊

以約化樑能量模型檢驗微弱剛度與生長載荷異質性，能否控制摺疊數量與位置。

一次翻轉究竟有多罕見？

這項可重現的第一階段研究，以帶誤差界的有限狀態參考與固定種子的直接 SSA，核對一個合成低 copy 數 exclusive genetic toggle。

可解釋的電動車調度與補能

一條白箱流程，把能源預測、公平調度與由中斷觸發的重新規劃連在一起。

介入校準 Neural ODE

在合成 toggle switch 的強留出介入中，比較符號結構受限與不受限的神經向量場。

Michaelis-Menten QSSA 有效性圖譜

一個包含 243 組參數的圖譜，量度 Michaelis-Menten 準穩態近似何時能取代完整質量作用模型，以及何時軌跡或反應時間誤差變得重要。

非等溫連續攪拌反應器的滯後

一項非線性反應器研究，分析多重穩態、點火與熄火滯後、吸引域，以及接近熱失穩折點時的臨界減速。

感知佔用情況的課室通風

當實際房間使用偏離時間表時，以共用容量預測控制比較課室 CO₂ 暴露。

幽靈交通擠塞的穩定性

以微觀交通實驗研究細小擾動在甚麼條件下會增長成持續走停波。

系統發育模型錯置

一項已驗證的四物種實驗，顯示距離模型無法表示組成異質性時，更多序列資料可以令錯誤演化樹更穩定。

保持正值與守恆的時間步進

以剛性轉移網絡基準，比較顯式方法與保持正值、質量守恆的線性隱式更新。

發表壓力與方法選擇

一項 agent-based 機制實驗，研究論文數量、發表偏差、重複驗證抽查與失敗懲罰如何選擇研究方法的投入程度。

具韌性的供水網漏水定位

在量測含噪聲且一個感測器可能失效時，研究可區分漏水區域的抗缺失壓力感測器配置。

解析度邊緣的拓撲

一項受控的融池虛假臨界點審核，研究模糊、降採樣、分割誤差、有限視窗及形態轉移對連通判定的影響。

當量子糾纏過期

一項可重現的合成研究，分析四鏈路量子中繼鏈中的記憶衰減、截斷排程、尾部延遲，以及以證據為本的拒絕選擇。

穩健 CSTR 安全包絡

以合成放熱反應器情境，量化滿足穩健熱風險準則所付出的產率代價。

粗糙波動下的穩健對沖

在未見過的粗糙度、波動率的波動與交易成本情境中，評估固定無交易帶策略。

科學誘因與可靠性

以演化代理模型探索新穎性、嚴謹度與重複研究獎勵如何改變發現速度及研究紀錄可靠性。

追蹤式諧波消除的即時 sEMG 處理

一項可重現的合成實作，把因果逐樣本處理與帶閘門的市電頻率追蹤分開，用於諧波消除與包絡抽取。

非線性模型的序列分辨

在六輪實驗預算下，以自適應外力實驗分辨 Van der Pol、Rayleigh 與 Duffing 振盪器族。

可激發介質中的稀疏阻波

在未見過的傳導速度、恢復時間與延遲組合中，測試事件觸發局部脈衝能否阻止行進波。

隨機基因開關的狀態切換

一項結合確定性與隨機模型的研究，把基因 toggle 的雙穩態連結到有限分子數下的切換、首達時間記憶、穩態分佈與脈衝控制。

空間網格上的氣候驅動登革熱

以反應—擴散實驗結合溫度依賴蚊媒生態、長程移動、疫苗分配與數值檢查。

同化你真正觀察得到的量

一個固定六區 EnKF benchmark 顯示，正確 aggregate-and-delay observation operator 改善合成狀態與峰值預測，但 latent-state coverage 不及門檻，因此結論只能是 PARTIAL。

網格能否保留這個事件？

這個 matched-work Phase-1 experiment 比較 uniform、residual 與 DWR meshes；在 36 elements 下，uniform 反而最能保留 growing-domain modal-transition time。

從延遲總數框住隱藏疫情

以六區 SIR 合成基準比較中央 ensemble 區間與經驗證的受約束箱形外包絡，分清條件式包含與有用精度，並檢查停止接收觀測後還能預測甚麼。

海平面上升下的沿岸防護

一個結合海平面情境、極值風暴潮與五十年成本最佳化的教學案例。

從像素到巡邏

一份遵守證據界線的編輯紀錄，介紹 calibration-aware 合成 camera-trap pipeline 如何把類別機率連到網格不確定性與受約束巡邏配置。

由模擬走向證書

一項凍結的合成雙艙 positive-network benchmark，把有限 spectral checks 與涵蓋整段不確定性的 verified decay certificates 分開，並審核只限此 family 的 diagonal restriction gap。

同一個積分器跨越快慢尺度邊界

一項凍結 Michaelis-Menten property audit 驗證 conservation、non-negativity 與 fixed-step slow limit，同時保留 AP update 在 error 上未能勝過 backward Euler 的 null result。

隨機壓力測試不是最壞情況證書

一個 deterministic interval benchmark 為單一合成 worst-case objective 提供可驗證上界，而固定 IID、Latin-hypercube 及 local-search designs 仍只是沒有 global upper bound 的 feasible incumbents。

當降階通風模型離開訓練範圍

這項可重現的合成 POD 與 POD-DEIM 審計在 nominal inadmissibility 停止，因此不能對 schedule、source-location 或 ventilation shift 作可靠性歸因。

當交通求解器製造出一場塞車

一個保留失敗結果的 LWR benchmark 顯示，final shock-grid alignment 可令 cell-average norm 看似近乎精確，但門檻到達時間與 queue accounting 仍然有偏差。

當有效擴散係數不再足夠有效

這項可重現的第一階段基準，標出單一調和係數何時能保留固定一維週期薄板的合成釋放，以及 finite-cell transient 何時跨過凍結誤差門檻。

當多項式混沌跨過折疊點

這項可重現的第一階段 CSTR 研究，在同為 16 次 forward-evaluation fit budget 下，比較全域 Legendre surrogate 與 analytic-oracle fold-aligned surrogate。

當太陽能發電急升急跌

獲 ADMA 2026 接納的短論文，研究太陽能預測區間的條件可靠性。五站比較分開一致的校準改善，以及困難事件下仍未達到的絕對可靠性。

FairChoice Dynamics——輪流更新，為甚麼反而令系統不穩定？

一個延遲雙選擇模型，將相同更新次數與穩定回饋分開研究。精確區間認證、完整有限枚舉及合成實驗，說明多容許一個時段的排程彈性，為何可能改變穩定性。

IMMC2026

Technical catalogue entry for IMMC2026, recording 43 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：IMMC2026

Last Mile Drone Dilemma - IMMC Simulation

Technical catalogue entry for Last Mile Drone Dilemma - IMMC Simulation, recording 10 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：drone_network

Mathematical Modeling Lecture Materials

Technical catalogue entry for Mathematical Modeling Lecture Materials, recording 12 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：mathematical-modeling-lecture-materials

Project: Nonlinear Dynamics and Bifurcation Analysis of an Optomechanically Levitated Nanoparticle under Delayed Feedback Control

Technical catalogue entry for Project: Nonlinear Dynamics and Bifurcation Analysis of an Optomechanically Levitated Nanoparticle under Delayed Feedback Control, recording 9 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：optomechanical_dde_project

SJMMA 2026 Problem Collection

Technical catalogue entry for SJMMA 2026 Problem Collection, recording 190 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：SJMMA2026

The Duel: Warhawk vs. Death Lord

Technical catalogue entry for The Duel: Warhawk vs. Death Lord, recording 16 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：WARHAWK_STOCHASTIC

The Kessler Horizon: Orbital Debris Simulator

Technical catalogue entry for The Kessler Horizon: Orbital Debris Simulator, recording 6 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：orbital-debris-sim

授粉生態系統的取捨

以 C++ 個體為本模擬比較授粉者族群、農業產量與不同管理假設。

Autonomous Satellite Collision Avoidance System

Technical catalogue entry for Autonomous Satellite Collision Avoidance System, recording 23 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：satellite_collision_avoidance

Casino Operation Simulation

Technical catalogue entry for Casino Operation Simulation, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：CasinoOperationSimulation

Citi Bike Modeling System

Technical catalogue entry for Citi Bike Modeling System, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：CitiBikeModelingSystem

Computational Physics Model: 3-DOF Planar Robotic Arm

Technical catalogue entry for Computational Physics Model: 3-DOF Planar Robotic Arm, recording 17 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：computational_robotics_arm

CUMCM2025

Technical catalogue entry for CUMCM2025, recording 2 tracked files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：CUMCM2025

Ecosystem Dynamics Mathematical Modeling Project

Technical catalogue entry for Ecosystem Dynamics Mathematical Modeling Project, recording 29 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：ecosystem_dynamics_project

Enhanced Urban Traffic Emissions Optimization System

Technical catalogue entry for Enhanced Urban Traffic Emissions Optimization System, recording 26 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：traffic_optimization

Ev3 Robot Car

Technical catalogue entry for Ev3 Robot Car, recording 3 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：ev3-robot-car

Haps Optimization

Technical catalogue entry for Haps Optimization, recording 13 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：haps_optimization

IMMC 2026 Problem A: New Constellations

Technical catalogue entry for IMMC 2026 Problem A: New Constellations, recording 13 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：constellation_modeling

IMMC2025

Technical catalogue entry for IMMC2025, recording 3 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：IMMC2025

MCM2025

Technical catalogue entry for MCM2025, recording 2 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM2025

Quantum Resource Competition in Multi-Agent Particle Systems

Technical catalogue entry for Quantum Resource Competition in Multi-Agent Particle Systems, recording 19 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：quantum_resource_competition

Secondary 4 Evaluation

Technical catalogue entry for Secondary 4 Evaluation, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Secondary 4 Evaluation

Secondary 5 Evaluation

Technical catalogue entry for Secondary 5 Evaluation, recording 2 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Secondary 5 Evaluation

Shared Micro-Mobility Optimization System

Technical catalogue entry for Shared Micro-Mobility Optimization System, recording 16 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：shared_mobility_optimization

SJMMA 2025 Problem Collection

Technical catalogue entry for SJMMA 2025 Problem Collection, recording 46 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：SJMMA2025

Smart Microgrid Energy Trading Simulation

Technical catalogue entry for Smart Microgrid Energy Trading Simulation, recording 35 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：smart_microgrid_simulation

Solar Tracker Cost-Effectiveness Analysis

Technical catalogue entry for Solar Tracker Cost-Effectiveness Analysis, recording 13 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：solar-tracker-analysis

Stock Market

Technical catalogue entry for Stock Market, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Stock Market

Strategic Information Dynamics in Multi-Layer Social Networks

Technical catalogue entry for Strategic Information Dynamics in Multi-Layer Social Networks, recording 23 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：information_spread_modeling

Sustainable Urban Mobility

Technical catalogue entry for Sustainable Urban Mobility, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：SustainableUrbanMobility

Urban Microclimate Modeling System

Technical catalogue entry for Urban Microclimate Modeling System, recording 18 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：urban-microclimate-model

Vertical Lettuce Farming

Technical catalogue entry for Vertical Lettuce Farming, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：VerticalLettuceFarming

Weather Analysis

Technical catalogue entry for Weather Analysis, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：WeatherAnalysis

Zoo Design MIDMCM

Technical catalogue entry for Zoo Design MIDMCM, recording 9 Python files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：zoo-design-midmcm

Comparing Real Numbers

Technical catalogue entry for Comparing Real Numbers, recording 1 Python file. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：ComparingRealNumbers

CUMCM2024

Technical catalogue entry for CUMCM2024, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：CUMCM2024

HiMCM 2024

Technical catalogue entry for HiMCM 2024, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2024

IMMC2024

Technical catalogue entry for IMMC2024, recording 2 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：IMMC2024

Interpolation

Technical catalogue entry for Interpolation, recording 3 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Interpolation

MCM2024

Technical catalogue entry for MCM2024, recording 3 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM2024

Model Fitting

Technical catalogue entry for Model Fitting, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Model Fitting

Modeling With A Differential Equation

Technical catalogue entry for Modeling With A Differential Equation, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Modeling with a Differential Equation

Simulation Modeling

Technical catalogue entry for Simulation Modeling, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：Simulation Modeling

HiMCM 2023

Technical catalogue entry for HiMCM 2023, recording 2 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2023

HiMCM 2022

Technical catalogue entry for HiMCM 2022, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2022

MCM2022

Technical catalogue entry for MCM2022, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM2022

HiMCM 2021

Technical catalogue entry for HiMCM 2021, recording 2 notebooks. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2021

MCM2021

Technical catalogue entry for MCM2021, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM2021

MCM2020

Technical catalogue entry for MCM2020, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM2020

HiMCM 2019

Technical catalogue entry for HiMCM 2019, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2019

Macau School Mathematics Competition Archive, 2019--2026

Technical catalogue entry for Macau School Mathematics Competition Archive, 2019--2026, recording 77 tracked files. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：macau-school-mathematics-competition-2019-2026

IMMC2018

Technical catalogue entry for IMMC2018, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：IMMC2018

HiMCM 2011

Technical catalogue entry for HiMCM 2011, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2011

HiMCM 2002

Technical catalogue entry for HiMCM 2002, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：HiMCM2002

MCM1986

Technical catalogue entry for MCM1986, recording 1 notebook. Outputs remain unreviewed until promoted into an editorial project overview.

私人技術工作區目錄：MCM1986