An

**analysis**is a critical evaluation, usually made by breaking a subject (either material or intellectual) down into its constituent parts, then describing the parts and their relationship to the whole.

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

- In 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

- mathematical analysis
- In computing:
- In music:
- In psychotherapy:
- In cryptography:
- cryptanalysis - the decoding of ciphers
- frequency analysis

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

- In language studies:
- In signal processing:

- 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

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