Taxonomy Distribution Report

Overview

• Total Concepts: 300
• Number of Taxonomies: 13
• Average Concepts per Taxonomy: 23.1

Distribution Summary

Category	TaxonomyID	Count	Percentage	Status
Frequency Response	FREQ	55	18.3%	✅
Time Response	TIME	35	11.7%	✅
Controller Design	CTRL	32	10.7%	✅
Laplace Methods	LAPL	31	10.3%	✅
Block Diagrams	BLOCK	28	9.3%	✅
Physical Modeling	MODEL	25	8.3%	✅
Root Locus	RLOC	22	7.3%	✅
Stability Analysis	STAB	20	6.7%	✅
Steady-State Error	ERROR	13	4.3%	✅
Foundation Concepts	FOUND	12	4.0%	✅
Linearization	LINEAR	10	3.3%	✅
Performance	PERF	9	3.0%	✅
System Properties	PROP	8	2.7%	ℹ️ Under

Visual Distribution

FREQ   █████████  55 ( 18.3%)
TIME   █████  35 ( 11.7%)
CTRL   █████  32 ( 10.7%)
LAPL   █████  31 ( 10.3%)
BLOCK  ████  28 (  9.3%)
MODEL  ████  25 (  8.3%)
RLOC   ███  22 (  7.3%)
STAB   ███  20 (  6.7%)
ERROR  ██  13 (  4.3%)
FOUND  ██  12 (  4.0%)
LINEAR █  10 (  3.3%)
PERF   █   9 (  3.0%)
PROP   █   8 (  2.7%)

Balance Analysis

✅ No Over-Represented Categories

All categories are under the 30% threshold. Good balance!

ℹ️ Under-Represented Categories (<3%)

• System Properties (PROP): 8 concepts (2.7%)
• Note: Small categories are acceptable for specialized topics

Category Details

Frequency Response (FREQ)

Count: 55 concepts (18.3%)

Concepts:

• 1. Frequency Response
• 1. Sinusoidal Steady State
• 1. Magnitude Response
• 1. Phase Response
• 1. Frequency Transfer Func
• 1. Substitution s=jw
• 1. Bode Plot
• 1. Bode Magnitude Plot
• 1. Bode Phase Plot
• 1. Decibel
• 1. Logarithmic Scale
• 1. Decade
• 1. Octave
• 1. Corner Frequency
• 1. Break Frequency
• ...and 40 more

Time Response (TIME)

Count: 35 concepts (11.7%)

Concepts:

• 1. First-Order System
• 1. Second-Order System
• 1. Higher-Order System
• 1. Order of a System
• 1. Initial Conditions
• 1. Natural Response
• 1. Forced Response
• 1. Total Response
• 1. Zero-Input Response
• 1. Zero-State Response
• 1. Transient Response
• 1. Steady-State Response
• 1. Time Constant
• 1. Damping Ratio
• 1. Natural Frequency
• ...and 20 more

Controller Design (CTRL)

Count: 32 concepts (10.7%)

Concepts:

• 1. Proportional Control
• 1. Integral Control
• 1. Derivative Control
• 1. P Controller
• 1. PI Controller
• 1. PD Controller
• 1. PID Controller
• 1. Proportional Gain
• 1. Integral Gain
• 1. Derivative Gain
• 1. Integral Time
• 1. Derivative Time
• 1. Controller Tuning
• 1. Ziegler-Nichols Method
• 1. Reaction Curve Method
• ...and 17 more

Laplace Methods (LAPL)

Count: 31 concepts (10.3%)

Concepts:

• 1. Transfer Function
• 1. Laplace Transform
• 1. Inverse Laplace Transform
• 1. S-Domain
• 1. Time Domain
• 1. Frequency Domain
• 1. Poles
• 1. Zeros
• 1. Pole-Zero Plot
• 1. Pole-Zero Cancellation
• 1. Dominant Poles
• 1. Pole Locations
• 1. Complex Conjugate Poles
• 1. Real Poles
• 1. Repeated Poles
• ...and 16 more

Block Diagrams (BLOCK)

Count: 28 concepts (9.3%)

Concepts:

• 1. Block Diagram
• 1. Summing Junction
• 1. Pickoff Point
• 1. Cascade Connection
• 1. Parallel Connection
• 1. Feedback Connection
• 1. Block Diagram Reduction
• 1. Block Diagram Algebra
• 1. Forward Path
• 1. Feedback Path
• 1. Loop
• 1. Inner Loop
• 1. Outer Loop
• 1. Loop Gain
• 1. Closed-Loop Transfer
• ...and 13 more

Physical Modeling (MODEL)

Count: 25 concepts (8.3%)

Concepts:

• 1. Electrical Systems
• 1. Mechanical Systems
• 1. Translational Systems
• 1. Rotational Systems
• 1. Electromechanical Systems
• 1. Motor Model
• 1. DC Motor
• 1. Armature-Controlled Motor
• 1. Field-Controlled Motor
• 1. Motor Transfer Function
• 1. RLC Circuit
• 1. RC Circuit
• 1. RL Circuit
• 1. Op-Amp Circuits
• 1. Mass-Spring-Damper
• ...and 10 more

Root Locus (RLOC)

Count: 22 concepts (7.3%)

Concepts:

• 1. Root Locus
• 1. Root Locus Rules
• 1. Starting Points
• 1. Ending Points
• 1. Number of Branches
• 1. Symmetry Property
• 1. Real Axis Segments
• 1. Angle Condition
• 1. Magnitude Condition
• 1. Breakaway Point
• 1. Break-In Point
• 1. Asymptotes
• 1. Centroid
• 1. Asymptote Angles
• 1. Departure Angle
• ...and 7 more

Stability Analysis (STAB)

Count: 20 concepts (6.7%)

Concepts:

• 1. Stability
• 1. BIBO Stability
• 1. Internal Stability
• 1. Asymptotic Stability
• 1. Marginal Stability
• 1. Unstable System
• 1. Bounded Input
• 1. Bounded Output
• 1. Characteristic Equation
• 1. Characteristic Polynomial
• 1. Characteristic Roots
• 1. Routh-Hurwitz Criterion
• 1. Routh Array
• 1. Routh Array Construction
• 1. Special Cases Routh
• ...and 5 more

Steady-State Error (ERROR)

Count: 13 concepts (4.3%)

Concepts:

• 1. Steady-State Error
• 1. Steady-State Accuracy
• 1. Error Constants
• 1. Position Error Constant
• 1. Velocity Error Constant
• 1. Acceleration Error Const
• 1. System Type
• 1. Type 0 System
• 1. Type 1 System
• 1. Type 2 System
• 1. Type Number
• 1. Error Coefficients
• 1. Disturbance Error

Foundation Concepts (FOUND)

Count: 12 concepts (4.0%)

Concepts:

• 1. Control System
• 1. Feedback
• 1. Open-Loop Control
• 1. Closed-Loop Control
• 1. Plant
• 1. Controller
• 1. Actuator
• 1. Sensor
• 1. Reference Input
• 1. Error Signal
• 1. Disturbance
• 1. System Response

Linearization (LINEAR)

Count: 10 concepts (3.3%)

Concepts:

• 1. Linearization
• 1. Operating Point
• 1. Equilibrium Point
• 1. Small Signal Analysis
• 1. Taylor Series Expansion
• 1. Nonlinear System
• 1. Saturation
• 1. Dead Zone
• 1. Backlash
• 1. Hysteresis

Performance (PERF)

Count: 9 concepts (3.0%)

Concepts:

• 1. Performance Specs
• 1. Design Tradeoffs
• 1. Speed vs Stability
• 1. Robustness
• 1. Sensitivity
• 1. Sensitivity Function
• 1. Complementary Sensitivity
• 1. Disturbance Rejection
• 1. Noise Attenuation

System Properties (PROP)

Count: 8 concepts (2.7%)

Concepts:

• 1. Dynamic System
• 1. Linear System
• 1. Time-Invariant System
• 1. LTI System
• 1. Superposition Principle
• 1. Homogeneity
• 1. Causality
• 1. Differential Equation

Recommendations

• ✅ Good balance: Categories are reasonably distributed (spread: 15.7%)
• ✅ MISC category minimal: Good categorization specificity

Educational Use Recommendations

• Use taxonomy categories for color-coding in graph visualizations
• Design curriculum modules based on taxonomy groupings
• Create filtered views for focused learning paths
• Use categories for assessment organization
• Enable navigation by topic area in interactive tools

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Report generated by learning-graph-reports/taxonomy_distribution.py