Tag Taxonomy - mi-quartz Study Vault
Last Updated: 2025-11-24
Version: 1.0
Quick Reference
Tag Format Rules
- Lowercase only
- No accents (ASCII only)
- Hyphens for multi-word tags
- Plural forms for topics
- No class numbers
- 3-5 tags minimum per file
Required Tags Structure
#[COURSE] #[DOCTYPE] #[TOPIC1] #[TOPIC2] #[TOPIC3]
Example:
#mat1610-calculo #clase #derivadas #regla-cadena #composicionCourse Tags (Required - Pick One)
| Tag | Course Name |
|---|---|
mat1610-calculo | MAT1610 - Cálculo I |
mat1203-algebra | MAT1203 - Álgebra Lineal |
eyp1016-estadistica | EYP1016 - Introducción a la Estadística |
Document Type Tags (Required - Pick One)
| Tag | Description |
|---|---|
clase | Class notes from lectures |
concepto | Concept definitions and explanations |
resumen | Summaries and reviews |
ejercicios | Practice problems and solutions |
formulas | Formula sheets and reference cards |
MAT1610 - Cálculo I Topic Tags
Límites
limites- General limits topiclimites-laterales- Left/right hand limitslimites-infinitos- Infinite limitslimites-notables- Notable limitsasintotas-verticales- Vertical asymptotesasintotas-horizontales- Horizontal asymptotesdefinicion-epsilon-delta- Formal epsilon-delta definitioncontinuidad- Continuity
Derivadas
derivadas- General derivatives topicregla-cadena- Chain ruleregla-producto- Product ruleregla-cociente- Quotient rulederivacion-implicita- Implicit differentiationderivacion-logaritmica- Logarithmic differentiationderivadas-trigonometricas- Trigonometric derivativesrecta-tangente- Tangent lines
Aplicaciones de Derivadas
aplicaciones-derivada- General applicationsoptimizacion- Optimization problemsmaximos-minimos- Max/min problemsrazones-relacionadas- Related ratesaproximacion-lineal- Linear approximationteorema-valor-medio- Mean value theoremteorema-rolle- Rolle’s theoremregla-lhopital- L’Hôpital’s ruleformas-indeterminadas- Indeterminate formsconcavidad- Concavitypuntos-inflexion- Inflection points
Integrales
integrales- General integrationantiderivadas- Antiderivativesintegral-definida- Definite integralstfc- Fundamental theorem of calculusteorema-cambio-neto- Net change theoremintegracion- Integration techniques
MAT1203 - Álgebra Lineal Topic Tags
Vectores
vectores- General vectors topicvectores-geometricos- Geometric vectorsproducto-punto- Dot productproducto-cruz- Cross productvectores-ortogonales- Orthogonal vectorsvectores-unitarios- Unit vectorscombinaciones-lineales- Linear combinationsoperaciones-vectoriales- Vector operations
Sistemas Lineales
sistemas-lineales- Linear systemsforma-escalonada- Row echelon formoperaciones-elementales- Row operationsconsistencia- System consistencysolucion-sistemas- Solution setssistemas-homogeneos- Homogeneous systems
Matrices
matrices- General matrices topicoperaciones-matrices- Matrix operationsmatriz-inversa- Matrix inversedeterminantes- Determinantsmatrices-elementales- Elementary matricesmatriz-transpuesta- Matrix transposecofactores- Cofactorsregla-cramer- Cramer’s rule
Espacios Vectoriales
espacios-vectoriales- Vector spacessubespacios- Subspacesbases- Basesdimension- Dimensionindependencia-lineal- Linear independenceespacio-nulo- Null spaceespacio-columna- Column spacerango- Rank
Transformaciones Lineales
transformaciones-lineales- Linear transformationsmatriz-transformacion- Transformation matrixvalores-propios- Eigenvaluesvectores-propios- Eigenvectorsdiagonalizacion- Diagonalizationsimilitud- Similarity
EYP1016 - Estadística Topic Tags
Probabilidad
probabilidad- General probabilityespacios-probabilidad- Probability spacesprobabilidad-condicional- Conditional probabilityindependencia- Independenceteorema-bayes- Bayes’ theorem
Variables Aleatorias
variables-aleatorias- Random variablesvariables-discretas- Discrete random variablesvariables-continuas- Continuous random variablesfuncion-probabilidad- Probability functionfuncion-densidad- Density functionesperanza- Expected valuevarianza- Variance
Distribuciones
distribuciones- General distributionsdistribucion-binomial- Binomial distributiondistribucion-normal- Normal distributiondistribucion-poisson- Poisson distributiondistribucion-uniforme- Uniform distributiondistribucion-exponencial- Exponential distribution
Estadística Inferencial
muestras-aleatorias- Random samplesteorema-central-limite- Central limit theoremestimacion- Estimationintervalos-confianza- Confidence intervals
Crosscutting Tags (Optional)
| Tag | Use When |
|---|---|
concepto-fundamental | Core foundational concept |
teorema | Important theorem |
formula | Key formula or equation |
aplicacion-practica | Real-world application |
demostracion | Proof or derivation |
metodo | Algorithm or method |
propiedad | Mathematical property |
definicion | Formal definition |
Tag Consolidation Reference
Use These (Not Those)
| Use This | Instead Of |
|---|---|
calculo | cálculo, Calculo |
limites | límites, limite, Limites |
derivadas | derivada, Derivadas |
bases | base |
determinantes | determinante |
limites-infinitos | limites-infinito |
logaritmos | logaritmo |
Common Tagging Patterns
Clase Notes
#mat1610-calculo #clase #derivadas #regla-producto #aplicacionesConcept Definitions
#mat1203-algebra #concepto #vectores #producto-punto #ortogonalidadSummary Documents
#mat1610-calculo #resumen #limites #derivadas #continuidadFormula Sheets
#eyp1016-estadistica #formulas #probabilidad #distribucionesMaintenance
Before Creating New Tag
- Check this taxonomy
- Search existing tags
- Use similar existing tag if available
- Only create if truly unique
Adding New Tag
- Follow naming conventions
- Add to this document
- Use in at least 2 files
- Include brief description
Quick Search Queries
Find All Calculus Classes
#mat1610-calculo #clase
Find All Derivative Concepts
#derivadas OR #regla-cadena OR #regla-producto
Find All Algebra Theorems
#mat1203-algebra #teorema
Questions? Refer to full Tag_Analysis_Report.md for detailed guidelines.
Visual Tag Hierarchy
mi-quartz Study Vault
│
├── COURSES (Layer 1 - Required)
│ ├── mat1610-calculo
│ ├── mat1203-algebra
│ └── eyp1016-estadistica
│
├── DOCUMENT TYPES (Layer 2 - Required)
│ ├── clase
│ ├── concepto
│ ├── resumen
│ ├── ejercicios
│ └── formulas
│
├── TOPICS (Layer 3 - Pick 2-4)
│ │
│ ├── MAT1610 Topics
│ │ ├── limites
│ │ │ ├── limites-laterales
│ │ │ ├── limites-infinitos
│ │ │ └── limites-notables
│ │ │
│ │ ├── derivadas
│ │ │ ├── regla-cadena
│ │ │ ├── regla-producto
│ │ │ ├── regla-cociente
│ │ │ └── derivacion-implicita
│ │ │
│ │ ├── aplicaciones-derivada
│ │ │ ├── optimizacion
│ │ │ ├── razones-relacionadas
│ │ │ └── teorema-valor-medio
│ │ │
│ │ └── integrales
│ │ ├── antiderivadas
│ │ ├── integral-definida
│ │ └── tfc
│ │
│ ├── MAT1203 Topics
│ │ ├── vectores
│ │ │ ├── producto-punto
│ │ │ ├── producto-cruz
│ │ │ └── combinaciones-lineales
│ │ │
│ │ ├── matrices
│ │ │ ├── matriz-inversa
│ │ │ ├── determinantes
│ │ │ └── operaciones-matrices
│ │ │
│ │ ├── sistemas-lineales
│ │ │ ├── forma-escalonada
│ │ │ └── consistencia
│ │ │
│ │ ├── espacios-vectoriales
│ │ │ ├── bases
│ │ │ ├── dimension
│ │ │ └── subespacios
│ │ │
│ │ └── transformaciones-lineales
│ │ ├── valores-propios
│ │ ├── vectores-propios
│ │ └── diagonalizacion
│ │
│ └── EYP1016 Topics
│ ├── probabilidad
│ │ ├── probabilidad-condicional
│ │ └── independencia
│ │
│ ├── variables-aleatorias
│ │ ├── variables-discretas
│ │ ├── variables-continuas
│ │ └── distribuciones
│ │
│ └── estadistica-inferencial
│ └── teorema-central-limite
│
└── CROSSCUTTING (Layer 4 - Optional)
├── concepto-fundamental
├── teorema
├── formula
├── aplicacion-practica
└── demostracion
Tag Application Examples by File Type
Example 1: Lecture Notes on Chain Rule
File: /MAT1610 Calculo I/Clases/02 La Derivada/15) Regla de la Cadena.md
Tags:
#mat1610-calculo #clase #derivadas #regla-cadena #composicion #concepto-fundamentalBreakdown:
mat1610-calculo- Course identifierclase- Document type (lecture notes)derivadas- Main topicregla-cadena- Specific techniquecomposicion- Related conceptconcepto-fundamental- Cross-cutting (this is a core concept)
Example 2: Concept Definition of Eigenvalues
File: /MAT1203 Algebra Lineal/Conceptos/Valores-Propios.md
Tags:
#mat1203-algebra #concepto #transformaciones-lineales #valores-propios #diagonalizacion #teoremaBreakdown:
mat1203-algebra- Course identifierconcepto- Document type (definition)transformaciones-lineales- Main topic areavalores-propios- Specific conceptdiagonalizacion- Related applicationteorema- Cross-cutting (involves important theorems)
Example 3: Summary Document on Limits
File: /MAT1610 Calculo I/Resumen Limites y Continuidad.md
Tags:
#mat1610-calculo #resumen #limites #limites-laterales #continuidad #asintotas-verticalesBreakdown:
mat1610-calculo- Course identifierresumen- Document type (summary/review)limites- Main topiclimites-laterales- Subtopic 1continuidad- Subtopic 2asintotas-verticales- Subtopic 3
Example 4: Statistics Class on Distributions
File: /EYP1016 Estadistica/Clases/7) Distribuciones de Probabilidad Discretas.md
Tags:
#eyp1016-estadistica #clase #variables-discretas #distribuciones #distribucion-binomial #distribucion-poissonBreakdown:
eyp1016-estadistica- Course identifierclase- Document typevariables-discretas- Main topicdistribuciones- General areadistribucion-binomial- Specific distribution 1distribucion-poisson- Specific distribution 2
Migration Checklist
When updating an existing file’s tags:
- Remove any accented characters (cálculo → calculo)
- Remove class-number tags (clase-15, clase-7, etc.)
- Add course tag if missing (mat1610-calculo, mat1203-algebra, or eyp1016-estadistica)
- Ensure document type tag is present (clase, concepto, resumen, etc.)
- Standardize singular/plural (use plurals: derivadas, limites, bases)
- Keep 3-5 specific topic tags
- Add crosscutting tags if applicable (concepto-fundamental, teorema, etc.)
- Verify tags are lowercase with hyphens
Last Updated: 2025-11-24
Version: 1.0.1