物理
透過運動、波動、場、電路與現代物理的即時實驗台進入目前的物理內容。
運動與圓周運動 is the clearest bounded first route.
Topic directory
These routes stay compact, but the topics, grouped overviews, starter tracks, and progress cues still derive from the same canonical metadata and local-first progress seams the rest of the product already uses.
Subject entry points
透過運動、波動、場、電路與現代物理的即時實驗台進入目前的物理內容。
運動與圓周運動 is the clearest bounded first route.
以圖像變換、函數、複數平面、三角與向量等互動主題進入數學內容。
函數與變化 is the clearest bounded first route.
從反應速率、平衡、化學計量與溶液酸鹼等模擬主題進入化學內容。
反應速率與平衡 is the clearest bounded first route.
從排序、搜尋與圖遍歷等演算法主題進入目前的電腦科學內容。
演算法與搜尋基礎 is the clearest bounded first route.
16 topics
Topic order follows the topic catalog, with subject groupings layered on top of the same canonical metadata.
93 published modules
Every topic page pulls concepts from the canonical registry and links back into the existing concept pages and starter tracks.
4 subjects
Topic browsing now scales by subject without introducing a second content catalog or route tree.
8 topics
從單一振子一路連到行進波、聲波、拍頻、都卜勒效應、駐波與共振。
簡諧 is still the cleanest first concept here.
用向量、轉動、軌跡、重力場、軌道與碰撞在同一套模擬語言中理解運動。
向量 is still the cleanest first concept here.
從壓力出發,連到靜水壓、連續方程、伯努力原理、浮力與終端速度。
Pressure in fluids is still the cleanest first concept here.
把溫度、內能、理想氣體、熱傳與相變化放在同一條熱學路線中理解。
Temperature vs U is still the cleanest first concept here.
從電場與電位進到簡單電路、功率、支路行為與等效電阻。
電場 is still the cleanest first concept here.
Use current-made magnetic fields, changing flux, Maxwell's four-law synthesis, magnetic force, and field-pair propagation without turning the branch into a detached rule list.
B-fields is still the cleanest first concept here.
Use one bounded optics path to move from light's wave identity into polarization, diffraction, double-slit interference, refraction, prism dispersion, critical angles, mirrors, thin-lens image formation, and the diffraction limits that cap real resolution.
Light and spectrum is still the cleanest first concept here.
Keep the modern-physics branch bounded with the photoelectric effect, atomic spectra, de Broglie matter waves, the Bohr model, and radioactivity / half-life so threshold emission, discrete lines, matter wavelength, quantized hydrogen levels, and probabilistic nuclear decay all stay tied to compact, visually honest benches instead of detached historical anecdotes.
Photoelectric effect is still the cleanest first concept here.
Use parent-curve moves, a shifted reciprocal family, and one exponential bench so graph moves, asymptotes, domain breaks, growth versus decay, and target-time questions stay tied to the same visual branch before the math path widens into local and accumulated change.
圖像變換 is still the cleanest first concept here.
Start from slope on the graph itself, use one constrained rectangle bench to make a real maximum visible, keep limit and continuity behavior available on one target point, and then widen into signed area and accumulation so rate and total change stay connected on one visual branch.
Derivative as slope is still the cleanest first concept here.
Use one 2D plane to read vectors as arrows, ordered pairs, matrix actions, alignment measures, and projections before the same language bridges into motion.
2D vectors is still the cleanest first concept here.
Use one bounded math branch where the complex plane, unit-circle rotation, polar coordinates, trig identities, inverse-angle reasoning, and motion traced from equations all stay tied to the same coordinate language.
複數 is still the cleanest first concept here.
3 topics
Use one compact chemistry branch where collision success explains reaction rate first, then the same particle language widens into reversible change and a new equilibrium mix.
Reaction rate is still the cleanest first concept here.
Use one compact chemistry branch where a visible recipe bench connects stoichiometric ratios, limiting reagent, and percent yield without leaving the same particle-and-recipe language.
Recipe ratios is still the cleanest first concept here.
Use one compact chemistry branch where concentration, solubility, acid-base balance, buffers, and pH all stay attached to the same bounded solution story.
Concentration is still the cleanest first concept here.
Use one bounded CS branch where visible list work grows into one coherent graph-traversal bench, so sorting, binary search, adjacency, BFS, DFS, and visited-state behavior stay on compact live surfaces.
Sorting trade-offs is still the cleanest first concept here.