--- NATIONAL WAGES ---
  total_employment : 3,720
  annual_median    : $81,490
  annual_pct10     : $47,980
  annual_pct25     : $60,750
  annual_pct75     : $107,180
  annual_pct90     : $154,580
  annual_mean      : $91,550
  hourly_median    : $39.18

--- GEOGRAPHIC DISPERSION ---
  highest_state    : California ($180,500)
  lowest_state     : Oklahoma ($36,820)
  dispersion_ratio : 4.902x

--- TOP STATES BY WAGE (13 total) ---
  Professional, Scientific, and Technical Services emp:    1,430  median: $  94,490
  Federal, State, and Local Government, excluding State and Local Government Schools and Hospitals and the U.S. Postal Service (OEWS Designation) emp:      650  median: $  58,240
  Educational Services                     emp:      380  median: $  74,160
  Administrative and Support and Waste Management and Remediation Services emp:      200  median: $  70,110
  Management of Companies and Enterprises  emp:      130  median: $  80,900
  Manufacturing                            emp:      100  median: $  69,420
  Wholesale Trade                          emp:       90  median: $ 115,650
  Health Care and Social Assistance        emp:       90  median: $  84,100
  Other Services (except Public Administration) emp:       70  median: $  78,440

--- TOP INDUSTRIES BY EMPLOYMENT (9 total) ---
  Professional, Scientific, and Technical Services emp:    1,430  median: $  94,490
  Federal, State, and Local Government, excluding State and Local Government Schools and Hospitals and the U.S. Postal Service (OEWS Designation) emp:      650  median: $  58,240
  Educational Services                     emp:      380  median: $  74,160
  Administrative and Support and Waste Management and Remediation Services emp:      200  median: $  70,110
  Management of Companies and Enterprises  emp:      130  median: $  80,900
  Manufacturing                            emp:      100  median: $  69,420
  Wholesale Trade                          emp:       90  median: $ 115,650
  Health Care and Social Assistance        emp:       90  median: $  84,100
  Other Services (except Public Administration) emp:       70  median: $  78,440

exact_match_status : no_exact_match
matched_title      : N/A
match_score        : 0.0000
wikidata_qid       : N/A
word_count         : 0
wikipedia_url      : N/A
license            : CC BY-SA 4.0
fetched_at         : 2026-06-02T20:27:53.520446Z

--- SEMANTIC NEIGHBORS (5) ---

  Title: Science, technology, engineering, and mathematics (similarity: 0.2391)
  URL: https://en.wikipedia.org/wiki/Science%2C_technology%2C_engineering%2C_and_mathematics
  QID: Q1881523
  Extract: Science, technology, engineering, and mathematics (STEM) is an umbrella term used to group together the related technical disciplines of science, technology, engineering, and mathematics. It represents a broad and interconnected set of fields that are crucial for innovation and technological advance

  Title: List of obsolete occupations (similarity: 0.4507)
  URL: https://en.wikipedia.org/wiki/List_of_obsolete_occupations
  QID: Q131160772
  Extract: This is a list of obsolete occupations. To be included in this list an occupation must be completely, or to a great extent, obsolete. For example, there are still a few lamplighters retained for ceremonial or tourist purposes, but in the main the occupation is now obsolete. Similarly, there are stil

  Title: International Standard Classification of Occupations (similarity: 0.5053)
  URL: https://en.wikipedia.org/wiki/International_Standard_Classification_of_Occupations
  QID: Q1233766
  Extract: The International Standard Classification of Occupations (ISCO) is a system developed by the International Labour Organization (ILO) to classify and organize occupations into a structured hierarchy. It serves to facilitate international communication about occupations by providing a framework for st

  Title: Actuarial credentialing and exams (similarity: 0.4474)
  URL: https://en.wikipedia.org/wiki/Actuarial_credentialing_and_exams
  QID: Q4677844
  Extract: To become a qualified actuary, the actuarial credentialing and exam process usually requires passing a series of professional examinations over a period of several years.

  Title: Pro (similarity: 0.0435)
  URL: https://en.wikipedia.org/wiki/Pro
  QID: Q235206
  Extract: Pro is an abbreviation meaning "professional".

model_pass1          : claude-sonnet-4-20250514
model_pass2          : claude-haiku-4-5-20251001
inference_confidence : medium
confidence_notes     : Limited skill and activity data reduces confidence in detailed task descriptions, though job titles and wage data provide solid foundation for market intelligence and role differentiation.
inferred_at          : 2026-06-03T14:21:38.908675+00:00
tokens_input         : 2,244
tokens_output        : 2,957
cost_usd             : $0.033234
wikipedia_used       : False
wikipedia_title      : None
wikipedia_note       : No exact Wikipedia match found, with closest matches being general classification systems rather than specific occupational descriptions. This reflects the catch-all nature of this SOC category covering diverse mathematical specializations.

--- PROSE FIELDS ---

ROLE SUMMARY:
Mathematical Science Occupations, All Other encompasses specialized mathematical scientists not classified in other specific categories, including cryptanalysts, geometers, and research analysts. These professionals apply advanced mathematical principles to solve complex problems across government, defense, research, and technical consulting. According to BLS OEWS May 2025, they earn a median annual wage of $81,490 with significant geographic variation.

DAY IN THE LIFE:
Mathematical scientists in this catch-all category engage in highly specialized work depending on their particular focus area. Cryptanalysts develop and break encryption systems for national security purposes, while geometers advance mathematical understanding of spatial relationships and structures. Research analysts apply mathematical modeling to solve complex problems in their domain, and balance engineers use mathematical principles to optimize weight distribution in engineering systems. Mathematical technicians support senior scientists by performing calculations, maintaining mathematical models, and preparing technical documentation. The work typically involves extensive computer-based analysis, theoretical problem-solving, and collaboration with multidisciplinary teams.

WHO THRIVES:
This role attracts individuals with exceptional analytical reasoning and abstract thinking capabilities who enjoy working with complex mathematical concepts. Successful professionals demonstrate strong investigative tendencies, preferring systematic exploration of theoretical problems over routine tasks. They typically possess high tolerance for ambiguity and persistence in tackling problems that may take months or years to solve. The work suits those who prefer independent research environments and can maintain focus during extended periods of theoretical work. Given the specialized nature of many positions like cryptanalysis, professionals must be comfortable with high-security environments and confidentiality requirements.

CAREER ENTRY:
Entry typically requires a bachelor's degree in mathematics, applied mathematics, or a closely related quantitative field, with many positions preferring graduate-level education. Advanced roles, particularly in cryptanalysis and research, often require master's or doctoral degrees in specialized mathematical areas. Government positions may require security clearances, particularly for defense-related mathematical work. Some positions accept candidates with strong mathematical backgrounds from physics, engineering, or computer science programs.

CAREER TRAJECTORY:
Mathematical scientists can advance to senior research positions, become subject matter experts in specialized areas, or transition into management roles overseeing mathematical research teams. Some move into academic positions, while others may transition to more specific mathematical roles like operations research analysts or statisticians as they develop domain expertise. The diverse nature of this category allows for lateral movement into various mathematical specializations based on interest and opportunity.

MARKET INTELLIGENCE:
With 3,720 professionals employed nationally according to BLS OEWS May 2025, this represents a niche but specialized field. The median annual wage of $81,490 reflects the advanced skills required, with significant geographic variation from $36,820 in Oklahoma to $180,500 in California. The 4.90x wage ratio suggests concentration in high-tech regions and government centers. Employment is concentrated in professional services (1,430 positions), government (650 positions), and education (380 positions), indicating demand across research, defense, and academic sectors. The broad salary range of $47,980 to $154,580 reflects the diverse specializations within this category.

AUTOMATION OUTLOOK:
Most work in this category involves high-level mathematical reasoning and creative problem-solving that remains largely resistant to automation. While computational tools enhance productivity, the theoretical insight and novel mathematical approaches required for breakthrough work cannot be easily automated. However, routine mathematical calculations and data processing tasks that support these professionals may become increasingly automated.

--- REASONED EDGES ---
  [career_pathway] Mathematicians (15-2021.00) — confidence:high
    reasoning: Direct pathway from general mathematical science roles to specialized mathematician positions as professionals develop specific research expertise.
    data: shared mathematical foundation
    data: similar educational requirements
    data: overlapping research methodologies
  [transferable_skill] Operations Research Analysts (15-2031.00) — confidence:high
    reasoning: Mathematical modeling and analytical problem-solving skills transfer directly to operations research applications.
    data: mathematical modeling expertise
    data: analytical reasoning abilities
    data: problem-solving methodologies
  [skill_overlap] Computer Occupations, All Other (15-1299.00) — confidence:medium
    reasoning: Cryptanalyst positions overlap significantly with cybersecurity and computational roles in computer occupations.
    data: cryptanalyst job titles
    data: security clearance requirements
    data: computational analysis skills
  [task_similarity] Survey Researchers (19-3022.00) — confidence:medium
    reasoning: Research analyst positions share methodology and analytical approaches with survey research roles.
    data: research analyst job titles
    data: analytical methodologies
    data: government employment concentration
  [knowledge_overlap] Engineers (17-2000.00) — confidence:high
    reasoning: Mathematical engineering technician and balance engineer titles indicate direct application of mathematical principles to engineering problems.
    data: mathematical engineering technician title
    data: balance engineer title
    data: technical problem-solving focus

--- NORMALIZER SIGNALS ---
  match_keywords   : ['mathematical scientist', 'cryptanalyst', 'cryptologist', 'geometer', 'geometrician', 'harmonic analyst', 'mathematical technician', 'research analyst mathematical']
  exclude_keywords : ['statistician', 'actuary', 'operations research', 'data scientist', 'mathematician pure']
  title_patterns   : ['mathematical science', 'crypto analyst', 'geometry specialist', 'math technician', 'mathematical research']
  common_variations: ['mathematical sciences', 'applied mathematician other', 'crypto specialist', 'mathematical analyst', 'geometry expert', 'mathematical researcher', 'math scientist', 'mathematical engineering tech']

total_terms    : 40
top_words      : ['mathematical', 'research', 'occupations', 'specialized', 'security', 'obsolete', 'professionals', 'category', 'science', 'engineering', 'mathematics', 'typically', 'scientists', 'problems', 'government', 'theoretical', 'technical', 'problem', 'solving', 'international']
source_layers  : onet_tasks | onet_dimensions | dwas | wikipedia | inference

TERM                    COUNT     FREQ  DOMINANT SOURCE      SOURCE BREAKDOWN
──────────────────────────────────────────────────────────────────────────────────────────
mathematical               21  0.04861  inference            inference:100%
research                    9  0.02083  inference            inference:100%
occupations                 7  0.01620  wikipedia            wikipedia:86%  inference:14%
specialized                 6  0.01389  inference            inference:100%
security                    5  0.01157  inference            inference:60%  wikipedia:40%
obsolete                    5  0.01157  wikipedia            wikipedia:100%
professionals               5  0.01157  inference            inference:100%
category                    5  0.01157  inference            inference:100%
science                     4  0.00926  wikipedia            wikipedia:50%  inference:50%
engineering                 4  0.00926  wikipedia            wikipedia:50%  inference:50%
mathematics                 4  0.00926  wikipedia            wikipedia:50%  inference:50%
typically                   4  0.00926  inference            inference:75%  wikipedia:25%
scientists                  4  0.00926  inference            inference:100%
problems                    4  0.00926  inference            inference:100%
government                  4  0.00926  inference            inference:100%
theoretical                 4  0.00926  inference            inference:100%
technical                   3  0.00694  inference            inference:67%  wikipedia:33%
problem                     3  0.00694  inference            inference:67%  wikipedia:33%
solving                     3  0.00694  inference            inference:67%  wikipedia:33%
international               3  0.00694  wikipedia            wikipedia:100%
become                      3  0.00694  inference            inference:67%  wikipedia:33%
analysts                    3  0.00694  inference            inference:100%
advanced                    3  0.00694  inference            inference:100%
solve                       3  0.00694  inference            inference:100%
complex                     3  0.00694  inference            inference:100%
defense                     3  0.00694  inference            inference:100%
wage                        3  0.00694  inference            inference:100%
nature                      3  0.00694  inference            inference:100%
diverse                     3  0.00694  inference            inference:100%
specializations             3  0.00694  inference            inference:100%
reflects                    3  0.00694  inference            inference:100%
technology                  2  0.00463  wikipedia            wikipedia:100%
term                        2  0.00463  wikipedia            wikipedia:100%
together                    2  0.00463  wikipedia            wikipedia:100%
disciplines                 2  0.00463  wikipedia            wikipedia:100%
represents                  2  0.00463  wikipedia            wikipedia:50%  inference:50%
broad                       2  0.00463  wikipedia            wikipedia:50%  inference:50%
thinking                    2  0.00463  wikipedia            wikipedia:50%  inference:50%
analytical                  2  0.00463  wikipedia            wikipedia:50%  inference:50%
tech                        2  0.00463  wikipedia            wikipedia:50%  inference:50%