Analysis

analytic and synthesis.

As such, it can be applied in many different fields of study:

In philosophy:
- analysis (philosophy)

In mathematics:
- mathematical analysis
  - real analysis - real numbers
  - complex analysis - holomorphic functions
  - functional analysis - study of spaces of functions
  - non-standard analysis - hyperreal numbers
  - harmonic analysis - Fourier series
- numerical analysis
- statistical analysis
  - meta-analysis
  - analysis of variance (ANOVA)
  - time-series analysis

In computing:
- object-oriented analysis and design
- lexical analysis
- semantic analysis
- syntax analysis
- competitive analysis
- analysis of algorithms
- computer program analysis
- static code analysis

In music:
- musical analysis
  - Schenkerian analysis

In psychotherapy:
- psychoanalysis
  - transactional analysis

In cryptography:
- cryptanalysis - the decoding of ciphers
- frequency analysis

In economics:
- fundamentals analysis
- technical analysis - used in predicting stock market trends

In language studies:
- discourse analysis
- voice analysis

In signal processing:

In other fields:

system analysis - in electrical engineering
systems analysis - study of large systems
lithic analysis - study of stone tools, in archaeology
isotope analysis in archaeology and paleontology
aura analysis - study of bodily auras and energy fields
dimensional analysis - in physics and engineering
neutron activation analysis - in chemistry
life cycle cost analysis
chemical analysis

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