Computer Science resonance-flow diagrams

These diagrams describe conceptual flows you can render as SVG, Mermaid, or other formats.


Diagram 1 – Resonant algorithm runtime (Problem 1)#

Nodes:

  • Structural triad: $$D_6$$
  • Resonant-time: $$τ_r$$
  • Composite constant: $$X$$
  • Log node: $$\log(X)$$
  • Runtime: $$T = D_6 τ_r \log(X)$$

Flow:

  1. $$D_6$$ and $$τ_r$$ feed into a multiplier node.
  2. $$X$$ flows into a log node.
  3. The two outputs combine to produce $$T$$.
  4. A control arrow from “system load” adjusts $$τ_r$$.

Diagram 2 – Data throughput (Problem 2)#

Nodes:

  • Emitter constant: $$F_3$$
  • Frequency elevation: $$T_f$$
  • Triadic operator: $$D_3$$
  • Throughput: $$R = F_3 T_f D_3$$

Flow:

  1. $$F_3$$ and $$T_f$$ merge.
  2. $$D_3$$ enters a multiplier node.
  3. Output is $$R$$.
  4. A control arrow from “hardware scaling” adjusts $$D_3$$.

Diagram 3 – Error correction (Problem 3)#

Nodes:

  • Temperature coupling: $$ΛΘ$$
  • Resonant-time: $$τ_r$$
  • Exponential node: $$e^{-ΛΘ τ_r}$$
  • Error probability: $$p$$

Flow:

  1. $$Λ$$ and $$Θ$$ merge to form $$ΛΘ$$.
  2. $$τ_r$$ enters a multiplier node with $$ΛΘ$$.
  3. The product enters an exponential node.
  4. Output is $$p$$.
  5. A feedback arrow from “target error rate” adjusts $$τ_r$$.