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Convex Type Chip Resistor Array
Convex Type Chip Resistor Array refers to resistor arrays with convex terminal geometry. The resistive element and terminal layout convert current into voltage and heat, with installed temperature affecting resistance and allowable power.

Product & engineering
Understand the product.
For this subject, the supplied object is resistor arrays with convex terminal geometry. The sensing loop includes terminal and track resistance, self-heating and the measurement amplifier. Use the defined Kelvin or terminal arrangement and compare TCR, pulse duty and mounting-dependent heat flow. For networks, ratio tracking can matter more than each element's absolute tolerance; a nominal wattage is not an installed thermal guarantee.
What turns activity into demand
Circuit bills of materials determine unit demand; accuracy, pulse loading and thermal design determine the qualified technology.
The commercial boundary
Separate discrete resistors, networks and assembled braking systems; resistance or wattage alone does not define procurement equivalence.
Why does an accurate resistor give an inaccurate current reading?
For this subject, the supplied object is resistor arrays with convex terminal geometry. The sensing loop includes terminal and track resistance, self-heating and the measurement amplifier. Use the defined Kelvin or terminal arrangement and compare TCR, pulse duty and mounting-dependent heat flow. For networks, ratio tracking can matter more than each element's absolute tolerance; a nominal wattage is not an installed thermal guarantee.
Technical reading
Selected research
Industry Growth & Trends
Global Convex Type Chip Resistor Array Industry Growth and Trends Forecast to 2032
Market perspective
The global Convex Type Chip Resistor Array market was valued at US$ million in 2026 and is projected to reach US$ million by 2032, implying a CAGR of xx% over 2026-2032.
The North America market for Convex Type Chip Resistor Array is projected to increase from US$ million in 2026 to US$ million by 2032, corresponding to a CAGR of % over 2026-2032.
The Europe market for Convex Type Chip Resistor Array is projected to increase from US$ million in 2026 to US$ million by 2032, registering a CAGR of % over 2026-2032.
Read the full market overview
The Asia Pacific market for Convex Type Chip Resistor Array is projected to increase from US$ million in 2026 to US$ million by 2032, at a CAGR of % over 2026-2032.
Leading global manufacturers of Convex Type Chip Resistor Array include Bourns, Vishay, KOA, Kyocera, Yageo, Panasonic, Samsung Electro-Mechanics, Ralec and PSA, among others. In 2025, the top three vendors together accounted for approximately % of global revenue.
Report Scope
This report provides a structured, data-driven view of the global Convex Type Chip Resistor Array market, combining harmonized quantitative metrics with targeted qualitative insight to support business and growth strategy, market positioning, and capital allocation.
The Convex Type Chip Resistor Array market size, estimates, and forecasts are presented in terms of sales volume (k units) and revenue (US$ million), with 2025 as the base year and historical and forecast data for 2021-2032. The report segments the global Convex Type Chip Resistor Array market by Type, Application, region/country, and company, provides regional market sizes at the segment level, profiles the competitive landscape and key players and their market ranks, and reviews technology trends and new product developments relevant to Convex Type Chip Resistor Array.
Key Companies & Market Share Insights
This section analyzes the strategies and performance of leading manufacturers in the global Convex Type Chip Resistor Array market, including portfolio focus, innovation and product development, mergers and acquisitions, collaborations, and geographic expansion used to sustain or enhance competitive positions. It also summarizes recent corporate developments and key financial indicators and provides global revenue, price, and sales volume data by manufacturer for 2020-2025, enabling benchmarking of scale, pricing, and market share and supporting assessment of market concentration through indicators such as CR5 and CR10.
Convex Type Chip Resistor Array Market by Company
Bourns
Vishay
KOA
Kyocera
Yageo
Panasonic
Samsung Electro-Mechanics
Ralec
PSA
Hokuriku
Akahane Electronics Corporation
Abco Electronics
TA-I Technology
Zealway Electronics
Viking Tech
Cinetech
Convex Type Chip Resistor Array Segment by Type
Tolerance: 1%
Tolerance: 2%
Tolerance: 5%
Other
Convex Type Chip Resistor Array Segment by Application
Communication Equipment
Industrial Automation
Automotive Electronics
Consumer Electronics
Medical Instruments
Test and Measurement
Other
Convex Type Chip Resistor Array Segment by Region
North America
United States
Canada
Mexico
Europe
Germany
France
U.K.
Italy
Russia
Spain
Netherlands
Switzerland
Sweden
Poland
Asia-Pacific
China
Japan
South Korea
India
Australia
Taiwan
Southeast Asia
South America
Brazil
Argentina
Chile
Middle East & Africa
Egypt
South Africa
Israel
Türkiye
GCC Countries
Key Drivers & Barriers
High-impact rendering factors and drivers have been studied in this report to aid the readers to understand the general development. Moreover, the report includes restraints and challenges that may act as stumbling blocks on the way of the players. This will assist the users to be attentive and make informed decisions related to business. Specialists have also laid their focus on the upcoming business prospects.
Reasons to Buy This Report
1. This report will help the readers to understand the competition within the industries and strategies for the competitive environment to enhance the potential profit. The report also focuses on the competitive landscape of the global Convex Type Chip Resistor Array market, and introduces in detail the market share, industry ranking, competitor ecosystem, market performance, new product development, operation situation, expansion, and acquisition. etc. of the main players, which helps the readers to identify the main competitors and deeply understand the competition pattern of the market.
2. This report will help stakeholders to understand the global industry status and trends of Convex Type Chip Resistor Array and provides them with information on key market drivers, restraints, challenges, and opportunities.
3. This report will help stakeholders to understand competitors better and gain more insights to strengthen their position in their businesses. The competitive landscape section includes the market share and rank (in volume and value), competitor ecosystem, new product development, expansion, and acquisition.
4. This report stays updated with novel technology integration, features, and the latest developments in the market.
5. This report helps stakeholders to gain insights into which regions to target globally.
6. This report helps stakeholders to gain insights into the end-user perception concerning the adoption of Convex Type Chip Resistor Array.
7. This report helps stakeholders to identify some of the key players in the market and understand their valuable contribution.
Chapter Outline
Chapter 1: Introduces the study scope of this report, executive summary of market segments by type, market size segments for North America, Europe, Asia Pacific, South America, Middle East & Africa.
Chapter 2: Introduces the market dynamics, latest developments of the market, the driving factors and restrictive factors of the market, the challenges and risks faced by manufacturers in the industry, and the analysis of relevant policies in the industry.
Chapter 3: Detailed analysis of Convex Type Chip Resistor Array manufacturers competitive landscape, price, sales, revenue, market share and ranking, latest development plan, merger, and acquisition information, etc.
Chapter 4: Sales, revenue of Convex Type Chip Resistor Array in regional level. It provides a quantitative analysis of the market size and development potential of each region and introduces the future development prospects, and market space in the world.
Chapter 5: Introduces market segments by application, market size segment for North America, Europe, Asia Pacific, South America, Middle East & Africa.
Chapter 6: Provides profiles of key players, introducing the basic situation of the main companies in the market in detail, including product sales, revenue, price, gross margin, product introduction, recent development, etc.
Chapter 7, 8, 9, 10 and 11: North America, Europe, Asia Pacific, South America, Middle East & Africa, sales and revenue by country.
Chapter 12: Analysis of industrial chain, key raw materials, manufacturing cost, and market dynamics.
Chapter 13: Concluding Insights of the report.
More report detail
Tables and figures
Scope & coverage.
Types
- Tolerance: 1%
- Tolerance: 2%
- Tolerance: 5%
- Other
Applications
- Communication Equipment
- Industrial Automation
- Automotive Electronics
- Consumer Electronics
- Medical Instruments
- Test and Measurement
- Other
Companies covered
- Bourns
- Vishay
- KOA
- Kyocera
- Yageo
- Panasonic
- Samsung Electro-Mechanics
- Ralec
- PSA
- Hokuriku
- Akahane Electronics Corporation
- Abco Electronics
- TA-I Technology
- Zealway Electronics
- Viking Tech
- Cinetech
Inside the report.
1 Market Overview
- 1.1 Product Definition
- 1.2 Global Market Growth Prospects
- 1.2.1 Global Convex Type Chip Resistor Array Market Size Estimates and Forecasts (2021-2032)
- 1.2.2 Global Convex Type Chip Resistor Array Sales Estimates and Forecasts (2021-2032)
- 1.3 Convex Type Chip Resistor Array Market by Type
- 1.3.1 Tolerance: 1%
- 1.3.2 Tolerance: 2%
- 1.3.3 Tolerance: 5%
- 1.3.4 Other
- 1.4 Global Convex Type Chip Resistor Array Market Size by Type
- 1.4.1 Global Convex Type Chip Resistor Array Market Size Overview by Type (2021-2032)
- 1.4.2 Global Convex Type Chip Resistor Array Historic Market Size Review by Type (2021-2026)
- 1.4.3 Global Convex Type Chip Resistor Array Forecasted Market Size by Type (2027-2032)
- 1.5 Key Regions Market Size by Type
- 1.5.1 North America Convex Type Chip Resistor Array Sales Breakdown by Type (2021-2026)
- 1.5.2 Europe Convex Type Chip Resistor Array Sales Breakdown by Type (2021-2026)
- 1.5.3 Asia-Pacific Convex Type Chip Resistor Array Sales Breakdown by Type (2021-2026)
- 1.5.4 South America Convex Type Chip Resistor Array Sales Breakdown by Type (2021-2026)
- 1.5.5 Middle East and Africa Convex Type Chip Resistor Array Sales Breakdown by Type (2021-2026)
2 Global Market Dynamics
- 2.1 Convex Type Chip Resistor Array Industry Trends
- 2.2 Convex Type Chip Resistor Array Industry Drivers
- 2.3 Convex Type Chip Resistor Array Industry Opportunities and Challenges
- 2.4 Convex Type Chip Resistor Array Industry Restraints
3 Market Competitive Landscape by Company
- 3.1 Global Top Players by Convex Type Chip Resistor Array Revenue (2021-2026)
- 3.2 Global Top Players by Convex Type Chip Resistor Array Sales (2021-2026)
- 3.3 Global Top Players by Convex Type Chip Resistor Array Price (2021-2026)
- 3.4 Global Convex Type Chip Resistor Array Industry Company Ranking, 2024 VS 2025 VS 2026
- 3.5 Global Convex Type Chip Resistor Array Major Company Production Sites & Headquarters
- 3.6 Global Convex Type Chip Resistor Array Company, Product Type & Application
- 3.7 Global Convex Type Chip Resistor Array Company Establishment Date
- 3.8 Market Competitive Analysis
- 3.8.1 Global Convex Type Chip Resistor Array Market CR5 and HHI
- 3.8.2 Global Top 5 and 10 Convex Type Chip Resistor Array Players Market Share by Revenue in 2025
- 3.8.3 2025 Convex Type Chip Resistor Array Tier 1, Tier 2, and Tier 3
4 Convex Type Chip Resistor Array Regional Status and Outlook
- 4.1 Global Convex Type Chip Resistor Array Market Size and CAGR by Region: 2021 VS 2025 VS 2032
- 4.2 Global Convex Type Chip Resistor Array Historic Market Size by Region
- 4.2.1 Global Convex Type Chip Resistor Array Sales in Volume by Region (2021-2026)
- 4.2.2 Global Convex Type Chip Resistor Array Sales in Value by Region (2021-2026)
- 4.2.3 Global Convex Type Chip Resistor Array Sales (Volume & Value), Price and Gross Margin (2021-2026)
- 4.3 Global Convex Type Chip Resistor Array Forecasted Market Size by Region
- 4.3.1 Global Convex Type Chip Resistor Array Sales in Volume by Region (2027-2032)
- 4.3.2 Global Convex Type Chip Resistor Array Sales in Value by Region (2027-2032)
- 4.3.3 Global Convex Type Chip Resistor Array Sales (Volume & Value), Price and Gross Margin (2027-2032)
5 Convex Type Chip Resistor Array by Application
- 5.1 Convex Type Chip Resistor Array Market by Application
- 5.1.1 Communication Equipment
- 5.1.2 Industrial Automation
- 5.1.3 Automotive Electronics
- 5.1.4 Consumer Electronics
- 5.1.5 Medical Instruments
- 5.1.6 Test and Measurement
- 5.1.7 Other
- 5.2 Global Convex Type Chip Resistor Array Market Size by Application
- 5.2.1 Global Convex Type Chip Resistor Array Market Size Overview by Application (2021-2032)
- 5.2.2 Global Convex Type Chip Resistor Array Historic Market Size Review by Application (2021-2026)
- 5.2.3 Global Convex Type Chip Resistor Array Forecasted Market Size by Application (2027-2032)
- 5.3 Key Regions Market Size by Application
- 5.3.1 North America Convex Type Chip Resistor Array Sales Breakdown by Application (2021-2026)
- 5.3.2 Europe Convex Type Chip Resistor Array Sales Breakdown by Application (2021-2026)
- 5.3.3 Asia-Pacific Convex Type Chip Resistor Array Sales Breakdown by Application (2021-2026)
- 5.3.4 South America Convex Type Chip Resistor Array Sales Breakdown by Application (2021-2026)
- 5.3.5 Middle East and Africa Convex Type Chip Resistor Array Sales Breakdown by Application (2021-2026)
6 Company Profiles
- 6.1 Bourns
- 6.1.1 Bourns Company Information
- 6.1.2 Bourns Business Overview
- 6.1.3 Bourns Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.1.4 Bourns Convex Type Chip Resistor Array Product Portfolio
- 6.1.5 Bourns Recent Developments
- 6.2 Vishay
- 6.2.1 Vishay Company Information
- 6.2.2 Vishay Business Overview
- 6.2.3 Vishay Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.2.4 Vishay Convex Type Chip Resistor Array Product Portfolio
- 6.2.5 Vishay Recent Developments
- 6.3 KOA
- 6.3.1 KOA Company Information
- 6.3.2 KOA Business Overview
- 6.3.3 KOA Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.3.4 KOA Convex Type Chip Resistor Array Product Portfolio
- 6.3.5 KOA Recent Developments
- 6.4 Kyocera
- 6.4.1 Kyocera Company Information
- 6.4.2 Kyocera Business Overview
- 6.4.3 Kyocera Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.4.4 Kyocera Convex Type Chip Resistor Array Product Portfolio
- 6.4.5 Kyocera Recent Developments
- 6.5 Yageo
- 6.5.1 Yageo Company Information
- 6.5.2 Yageo Business Overview
- 6.5.3 Yageo Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.5.4 Yageo Convex Type Chip Resistor Array Product Portfolio
- 6.5.5 Yageo Recent Developments
- 6.6 Panasonic
- 6.6.1 Panasonic Company Information
- 6.6.2 Panasonic Business Overview
- 6.6.3 Panasonic Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.6.4 Panasonic Convex Type Chip Resistor Array Product Portfolio
- 6.6.5 Panasonic Recent Developments
- 6.7 Samsung Electro-Mechanics
- 6.7.1 Samsung Electro-Mechanics Company Information
- 6.7.2 Samsung Electro-Mechanics Business Overview
- 6.7.3 Samsung Electro-Mechanics Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.7.4 Samsung Electro-Mechanics Convex Type Chip Resistor Array Product Portfolio
- 6.7.5 Samsung Electro-Mechanics Recent Developments
- 6.8 Ralec
- 6.8.1 Ralec Company Information
- 6.8.2 Ralec Business Overview
- 6.8.3 Ralec Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.8.4 Ralec Convex Type Chip Resistor Array Product Portfolio
- 6.8.5 Ralec Recent Developments
- 6.9 PSA
- 6.9.1 PSA Company Information
- 6.9.2 PSA Business Overview
- 6.9.3 PSA Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.9.4 PSA Convex Type Chip Resistor Array Product Portfolio
- 6.9.5 PSA Recent Developments
- 6.10 Hokuriku
- 6.10.1 Hokuriku Company Information
- 6.10.2 Hokuriku Business Overview
- 6.10.3 Hokuriku Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.10.4 Hokuriku Convex Type Chip Resistor Array Product Portfolio
- 6.10.5 Hokuriku Recent Developments
- 6.11 Akahane Electronics Corporation
- 6.11.1 Akahane Electronics Corporation Company Information
- 6.11.2 Akahane Electronics Corporation Business Overview
- 6.11.3 Akahane Electronics Corporation Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.11.4 Akahane Electronics Corporation Convex Type Chip Resistor Array Product Portfolio
- 6.11.5 Akahane Electronics Corporation Recent Developments
- 6.12 Abco Electronics
- 6.12.1 Abco Electronics Company Information
- 6.12.2 Abco Electronics Business Overview
- 6.12.3 Abco Electronics Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.12.4 Abco Electronics Convex Type Chip Resistor Array Product Portfolio
- 6.12.5 Abco Electronics Recent Developments
- 6.13 TA-I Technology
- 6.13.1 TA-I Technology Company Information
- 6.13.2 TA-I Technology Business Overview
- 6.13.3 TA-I Technology Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.13.4 TA-I Technology Convex Type Chip Resistor Array Product Portfolio
- 6.13.5 TA-I Technology Recent Developments
- 6.14 Zealway Electronics
- 6.14.1 Zealway Electronics Company Information
- 6.14.2 Zealway Electronics Business Overview
- 6.14.3 Zealway Electronics Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.14.4 Zealway Electronics Convex Type Chip Resistor Array Product Portfolio
- 6.14.5 Zealway Electronics Recent Developments
- 6.15 Viking Tech
- 6.15.1 Viking Tech Company Information
- 6.15.2 Viking Tech Business Overview
- 6.15.3 Viking Tech Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.15.4 Viking Tech Convex Type Chip Resistor Array Product Portfolio
- 6.15.5 Viking Tech Recent Developments
- 6.16 Cinetech
- 6.16.1 Cinetech Company Information
- 6.16.2 Cinetech Business Overview
- 6.16.3 Cinetech Convex Type Chip Resistor Array Sales, Revenue and Gross Margin (2021-2026)
- 6.16.4 Cinetech Convex Type Chip Resistor Array Product Portfolio
- 6.16.5 Cinetech Recent Developments
7 North America by Country
- 7.1 North America Convex Type Chip Resistor Array Sales by Country
- 7.1.1 North America Convex Type Chip Resistor Array Sales Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 7.1.2 North America Convex Type Chip Resistor Array Sales by Country (2021-2026)
- 7.1.3 North America Convex Type Chip Resistor Array Sales Forecast by Country (2027-2032)
- 7.2 North America Convex Type Chip Resistor Array Market Size by Country
- 7.2.1 North America Convex Type Chip Resistor Array Market Size Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 7.2.2 North America Convex Type Chip Resistor Array Market Size by Country (2021-2026)
- 7.2.3 North America Convex Type Chip Resistor Array Market Size Forecast by Country (2027-2032)
8 Europe by Country
- 8.1 Europe Convex Type Chip Resistor Array Sales by Country
- 8.1.1 Europe Convex Type Chip Resistor Array Sales Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 8.1.2 Europe Convex Type Chip Resistor Array Sales by Country (2021-2026)
- 8.1.3 Europe Convex Type Chip Resistor Array Sales Forecast by Country (2027-2032)
- 8.2 Europe Convex Type Chip Resistor Array Market Size by Country
- 8.2.1 Europe Convex Type Chip Resistor Array Market Size Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 8.2.2 Europe Convex Type Chip Resistor Array Market Size by Country (2021-2026)
- 8.2.3 Europe Convex Type Chip Resistor Array Market Size Forecast by Country (2027-2032)
9 Asia-Pacific by Country
- 9.1 Asia-Pacific Convex Type Chip Resistor Array Sales by Country
- 9.1.1 Asia-Pacific Convex Type Chip Resistor Array Sales Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 9.1.2 Asia-Pacific Convex Type Chip Resistor Array Sales by Country (2021-2026)
- 9.1.3 Asia-Pacific Convex Type Chip Resistor Array Sales Forecast by Country (2027-2032)
- 9.2 Asia-Pacific Convex Type Chip Resistor Array Market Size by Country
- 9.2.1 Asia-Pacific Convex Type Chip Resistor Array Market Size Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 9.2.2 Asia-Pacific Convex Type Chip Resistor Array Market Size by Country (2021-2026)
- 9.2.3 Asia-Pacific Convex Type Chip Resistor Array Market Size Forecast by Country (2027-2032)
10 South America by Country
- 10.1 South America Convex Type Chip Resistor Array Sales by Country
- 10.1.1 South America Convex Type Chip Resistor Array Sales Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 10.1.2 South America Convex Type Chip Resistor Array Sales by Country (2021-2026)
- 10.1.3 South America Convex Type Chip Resistor Array Sales Forecast by Country (2027-2032)
- 10.2 South America Convex Type Chip Resistor Array Market Size by Country
- 10.2.1 South America Convex Type Chip Resistor Array Market Size Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 10.2.2 South America Convex Type Chip Resistor Array Market Size by Country (2021-2026)
- 10.2.3 South America Convex Type Chip Resistor Array Market Size Forecast by Country (2027-2032)
11 Middle East and Africa by Country
- 11.1 Middle East and Africa Convex Type Chip Resistor Array Sales by Country
- 11.1.1 Middle East and Africa Convex Type Chip Resistor Array Sales Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 11.1.2 Middle East and Africa Convex Type Chip Resistor Array Sales by Country (2021-2026)
- 11.1.3 Middle East and Africa Convex Type Chip Resistor Array Sales Forecast by Country (2027-2032)
- 11.2 Middle East and Africa Convex Type Chip Resistor Array Market Size by Country
- 11.2.1 Middle East and Africa Convex Type Chip Resistor Array Market Size Growth Rate (CAGR) by Country: 2021 VS 2025 VS 2032
- 11.2.2 Middle East and Africa Convex Type Chip Resistor Array Market Size by Country (2021-2026)
- 11.2.3 Middle East and Africa Convex Type Chip Resistor Array Market Size Forecast by Country (2027-2032)
12 Value Chain and Sales Channels Analysis
- 12.1 Convex Type Chip Resistor Array Value Chain Analysis
- 12.1.1 Convex Type Chip Resistor Array Key Raw Materials
- 12.1.2 Key Raw Materials Price
- 12.1.3 Raw Materials Key Suppliers
- 12.1.4 Manufacturing Cost Structure
- 12.1.5 Convex Type Chip Resistor Array Production Mode & Process
- 12.2 Convex Type Chip Resistor Array Sales Channels Analysis
- 12.2.1 Direct Comparison with Distribution Share
- 12.2.2 Convex Type Chip Resistor Array Distributors
- 12.2.3 Convex Type Chip Resistor Array Customers
13 Concluding Insights
14 Appendix
- 14.1 Reasons for Doing This Study
- 14.2 Research Methodology
- 14.3 Research Process
- 14.4 Authors List of This Report
- 14.5 Data Source
- 14.5.1 Secondary Sources
- 14.5.2 Primary Sources
- 14.6 Disclaimer
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