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Complexity class
In computational complexity theory, the complexity class PPP (polynomial pigeonhole principle) is a subclass of TFNP. It is the class of search problems
PPP_(complexity)
Topics referred to by the same term
Look up PPP or ppp in Wiktionary, the free dictionary. PPP or ppp may refer to: Pista ng Pelikulang Pilipino, a Philippine film festival Potter Puppet
PPP
Measure of prices in different countries
Purchasing power parity (PPP) is a measure of the price of specific goods in different countries and is used to compare the absolute purchasing power
Purchasing_power_parity
Class of problems in computer science
In complexity theory, PP, or PPT is the class of decision problems solvable by a probabilistic Turing machine in polynomial time with an error probability
PP_(complexity)
Psychosis beginning suddenly in the first two weeks after childbirth
Postpartum psychosis (PPP), also known as puerperal psychosis or peripartum psychosis, involves the abrupt onset of psychotic symptoms shortly following
Postpartum_psychosis
Partnership between a government and private company
A public–private partnership (PPP, 3P, or P3) is a long-term arrangement between a government and private sector institutions. Typically, it involves
Public–private_partnership
computational complexity theory of computer science, the structural complexity theory or simply structural complexity is the study of complexity classes, rather
Structural_complexity_theory
The public–private partnership (PPP or 3P) is a commercial legal relationship defined by the Government of India in 2011 as "an arrangement between a
Public–private partnerships in India
Public–private_partnerships_in_India
GPS data processing technique
Precise Point Positioning (PPP) is a global navigation satellite system (GNSS) positioning method that calculates very precise positions, with errors
Precise_Point_Positioning
High-area shapes can shift to hold many grid points
related to Blichfeldt's theorem has been shown to be complete for the PPP complexity class, and therefore unlikely to be solvable in polynomial time. The
Blichfeldt's_theorem
Complexity class
science, PPAD ("Polynomial Parity Arguments on Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994. PPAD is a subclass
PPAD_(complexity)
Combined gross national product of all the countries in the world
data, the GWP (PPP) grew at an average compounded annual growth rate of approximately 3.36% between 2000 and 2025, while the GWP (PPP) per capita grew
Gross_world_product
British infrastructure company
(cancelled following the collapse of the PPP) In June 2004, the National Audit Office criticised the complexity of the PPP deals, noting they offered "the prospect
Tube_Lines
Calculation method in quantum chemistry
In molecular physics, the Pariser–Parr–Pople (PPP) method applies semi-empirical quantum mechanical methods to the quantitative prediction of electronic
Pariser–Parr–Pople_method
Concept in computational complexity
hierarchy PH is entirely contained in PPP, and therefore in C2P = PPPP. Wagner, Klaus W. (1986). "The complexity of combinatorial problems with succinct
Counting_hierarchy
In computational complexity theory, the complexity class ⊕P (pronounced "parity P") is the class of decision problems solvable by a nondeterministic Turing
Parity_P
The polynomial hierarchy is contained in probabilistic Turing machine in polynomial time
The theorem states that the entire polynomial hierarchy PH is contained in PPP; this implies a closely related statement, that PH is contained in P#P. #P
Toda's_theorem
Computer network protocol
control channel and a Generic Routing Encapsulation tunnel to encapsulate PPP packets. Many modern VPNs use various forms of UDP for this same functionality
Point-to-Point Tunneling Protocol
Point-to-Point_Tunneling_Protocol
1999–2009 British railway maintenance company
(cancelled following the collapse of the PPP) In June 2004, the National Audit Office criticised the complexity of the PPP deals, noting they offered "the prospect
Metronet (British infrastructure company)
Metronet_(British_infrastructure_company)
Complexity class
In computational complexity theory, the complexity class TFNP is the class of total function problems that can be solved in nondeterministic polynomial
TFNP
Country in East Asia
Archived from the original on 6 September 2019. Retrieved 9 August 2026. "GDP, PPP (current international $)". World Bank. Archived from the original on 27
China
(PML-N) and 54 from the Pakistan People's Party (PPP). In Punjab and Sindh provinces, the PML-N and the PPP respectively emerged as the largest parties. Independent
2024 Pakistani general election
2024_Pakistani_general_election
in the role played by PPPs in new public-sector infrastructure projects and the complexity of PPP contracts, the European PPP Expertise Centre (EPEC)
Public–private partnerships by country
Public–private_partnerships_by_country
Category of routing problem minimizing total distance and time
the Downhill Plowing Problem (DPP), the Plowing with Precedence Problem (PPP), the Windy Rural Postman Problem (WRPP) and the Windy General Routing Problem
Arc_routing
President of Guyana from 1992 to 1997
Sawmill Workers Union. On 1 January 1950, the People's Progressive Party (PPP) was founded by a merger of the PAC and the British Guiana Labour Party (BGLP)
Cheddi_Jagan
also ranked as the 11th-largest in the world and 5th-largest in Europe by PPP in 2025. Turkey is a founding member of the OECD and G20. Ratified in 1995
Economy_of_Turkey
London Underground upgrade projects
the implementation of the London Underground Public Private Partnership (PPP) in 2003, the Metronet consortium became responsible for the infrastructure
Four_Lines_Modernisation
GDP (nominal) per capita List of countries by GDP (PPP) per capita List of countries by GDP (PPP) List of countries by real GDP growth rate List of countries
List of international rankings
List_of_international_rankings
Retrieved 2012-10-12. "GDP (PPP) 2011 - GDP rankings". International Monetary Fond. imf.org. 2012. Retrieved 2012-10-12. "GDP (PPP) per capita 2011 - GDP rankings"
International rankings of Belarus
International_rankings_of_Belarus
beginning stands in for a theme. The first variation remains largely within the ppp–pppp range. It begins with a series of major ninths (the number nine plays
Cinque_variazioni_(Berio)
Totality of psychological phenomena
Unconscious"". Philosophy, Psychiatry, & Psychology. 3 (3): 191–200. doi:10.1353/ppp.1996.0027. Goffi, Jean-Yves; Roux, Sophie (2011). "On the Very Idea of a
Mind
Country in East Asia
after that of the United States, China and Germany; and the fifth-largest by PPP-adjusted GDP. As of 2023[update], Japan's labor force is the world's tenth-largest
Japan
Country in North America
Observatory of Economic Complexity. Archived from the original on January 12, 2022. Retrieved May 20, 2023. "The Atlas of Economic Complexity by @HarvardGrwthLab"
Canada
Confederation of Mali, Niger, and Burkina Faso
(2025). "Counterterrorism or scramble for resources? Global powers and the complexity of military alliances in the Sahel". Small Wars & Insurgencies: 1–35.
Alliance_of_Sahel_States
Continent
81% of the sub-Saharan African population were living on less than $2.50 (PPP) per day in 2005, compared with 86% for India. Sub-Saharan Africa is the
Africa
ranks 20th worldwide in terms of PPP-adjusted GDP, 20th in terms of nominal GDP, and 21st in the 2023 Economic Complexity Index. Among OECD nations, Poland
Economy_of_Poland
Country in Europe
the world's third-largest by nominal GDP and sixth-largest by PPP-adjusted GDP. Its PPP-adjusted GDP per capita amounted to 115% of the EU average in
Germany
Country in Southeast Asia
the world's 34th-largest economy by nominal GDP and the 28th-largest by PPP. In 2017, the large service sector contributed to 53.6% of total GDP, the
Malaysia
PPPs have been implemented for over 20 years and has been increasingly recognized as an effective and appropriate mechanism to manage the complexity of
Public–private partnership in transition economies
Public–private_partnership_in_transition_economies
(USD 252,000 PPP), in late 2011 to USD 540,000 (USD 380,000 PPP) and in 2015 to USD 510,000 (USD 400,000 PPP). Exchange rates: xe.com, PPP conversion:
Economy_of_Switzerland
Country in Eastern Europe and North Asia
expenditure in the world. Its economy ranks among the largest in the world by PPP-adjusted GDP, relying on its vast mineral and energy resources, mainly oil
Russia
since 2001, the economy has grown steadily at around 6–8%. Therefore, the PPP per capita GDP of Romania in 2008 was estimated to be between $12,200 and
Economy_of_Romania
Country in Southwestern Europe
14th-largest economy by nominal GDP and the 12th-largest economy by PPP-adjusted GDP. Its PPP-adjusted GDP per capita stood at to 81% of the EU average in 2025
Portugal
Computer network management and monitoring protocol
to offer greater security than SNMPv1, but without incurring the high complexity of SNMPv2. A variant of this was commercialized as SNMP v2*, and the mechanism
Simple Network Management Protocol
Simple_Network_Management_Protocol
Trial financial report
finance and infrastructure finance, including Public–private partnership ("PPP") transactions (including PFI in the UK and P3 in the USA). Model audits
Model_audit
Country in Southern and Western Europe
in the south. The median disposable income was $27,949 per year in 2021 (PPP). The youth unemployment rate fell to around 20% in 2025, but remained substantially
Italy
Country in Eurasia from 1922 to 1991
For most of the period after World War II until its collapse, Soviet GDP (PPP) was the second-largest in the world, and third during the second half of
Soviet_Union
Country in West Asia
humanity. As of 2024[update], Iran has the world's 19th largest economy by PPP-adjusted GDP. It is a mixture of central planning, state ownership of oil
Iran
again following the Second Libyan Civil War. As of 2024, Libya's per capita PPP GDP stands at only 65% of its pre-war level in 2010. Libyan GDP per capita
Economy_of_Libya
Every symmetric convex set in R^n with volume > 2^n contains a non-zero integer point
is PPP-complete. It is also known that the computational analogue of Minkowski's theorem is in the class PPP, and it was conjectured to be PPP-complete
Minkowski's_theorem
Country in West Africa
"OEC: Products exported by Bulgaria (2012)". The Observatory of Economic Complexity. Archived from the original on 29 October 2012. Retrieved 30 October 2014
Burkina_Faso
Indian film series
People's Party (PPP) politicians Sharjeel Memon (Sindh Information Minister), Murtaza Wahab (Mayor of Karachi) and Sumeta Afzal Syed (PPP spokesperson)
Dhurandhar_Duology
highest per-capita GDP in the world in terms of purchasing power parity (PPP). The Asia-Pacific Economic Cooperation (APEC) is headquartered in Singapore
Economy_of_Singapore
economic system began under Desmond Hoyte and continued under PPP/CIVIC governments. The current PPP/C administration recognizes the need for foreign investment
Economy_of_Guyana
Country in West Asia
Convention]? A.Many experts say that it does, though there is considerable complexity surrounding the particular criteria. & Q. What about recognition? A.The
Palestine
Deprecated technical standard for data access over a cellular network
USSD, etc. On native IP bearers such as GPRS, UMTS packet-radio service, or PPP on top of a circuit-switched data connection, WDP is in fact exactly UDP
Wireless_Application_Protocol
Maritime shipping route near the North Pole
new transport lines or telecommunications. Public-Private Partnerships (PPPs) may be able to attract private investment and increase business opportunities
Arctic_shipping_routes
Networking protocol for clock synchronization
from an SNTP source. However, RFC 5905 notes that because the additional complexity of the full on-wire protocol is minimal, full implementation is encouraged
Network_Time_Protocol
Service layer in IEEE 802 network standards
sublayer provides a control abstraction of the physical layer such that the complexities of physical link control are invisible to the LLC and upper layers of
Medium_access_control
Lowest abstraction layer in the Internet protocol suite
networks (e.g. Wi-Fi), and framing protocols such as Point-to-Point Protocol (PPP) to belong to the link layer. Local area networking standards such as Ethernet
Link_layer
Country in Central Europe
economy in the world and the sixth in the European Union, and fifth largest by PPP-adjusted GDP in the EU. Poland has free university education and universal
Poland
Cryptographic network protocol
but proprietary, freeware and open source versions of various levels of complexity and completeness did and do exist (see Comparison of SSH clients). In
Secure_Shell
Principal protocol used to stream data across an IP network
CRC integrity check at layer 2, below both TCP and IP, such as is used in PPP or the Ethernet frame. However, introduction of errors in packets between
Transmission_Control_Protocol
Highest layer in network protocol models
design emphasizes simplicity and robustness by placing intelligence and complexity on the network's edge rather than the core, enabling nearly any network
Application_layer
Pedagogical approach
in effect, more similar to the more traditional present-practice-produce (PPP) paradigm. In "strong" task-based learning lessons, learners are responsible
Task-based_language_teaching
PPP gateway. The terminal implements the usage of the modem and PPP protocol to establish the network connection. In standard phones, the gateway PPP
List_of_Bluetooth_profiles
Psychedelic drug
not used in clandestine manufacture due to their low yields and high complexity. Albert Hofmann synthesized LSD in the following manner: (1) hydrazinolysis
LSD
Anomaly of self-awareness
Depersonalization". Philosophy, Psychiatry, & Psychology. 9 (3): 271–9. doi:10.1353/ppp.2003.0048. S2CID 145074433. Freedman, Jake (2024-05-30). "Depersonalisation
Depersonalization
Country in Central Europe
March 2018. Economic Complexity Rankings (ECI) Archived 14 March 2018 at the Wayback Machine. The Atlas of Economic Complexity. Access date 3 October
Czech_Republic
Psychoactive substance found in plants in the family Apocynaceae
effects of ibogaine. The non-selective sigma receptor agonists DTG and (+)-3-PPP partially substitute for ibogaine, whereas the σ1 receptor-selective agonists
Ibogaine
$107 billion (nominal, 2024 est.) or $229 billion (PPP, 2024 est.), GDP per capita of $36,000 (PPP, 2024 est.), average gross monthly salary of 2,468
Economy_of_Bulgaria
Country in Southeast Asia and Oceania
Goldstein 2024, pp. 56–57. "Indonesia". The Observatory of Economic Complexity, 2024. Suryanta 2021, p. 11. Sofiyandi, Kurniawan & Yudhistira 2023, pp
Indonesia
gross domestic product (GDP) and $371.27 billion by purchasing power parity (PPP) Sri Lanka's economy has experienced a strong recovery in recent years, driven
Economy_of_Sri_Lanka
Country in Central America
second lowest GDP per capita (nominal) and fourth lowest GDP per capita (PPP) among Latin American and Caribbean countries. In 2025, Nicaragua was ranked
Nicaragua
Supranational political and economic union
it does not have an official capital in the strict sense. Nominal GDP / (PPP/Per capita) With the exception of the Canary Islands and Madeira, the outermost
European_Union
Umbrella term used for traditionally nomadic groups
objects, rarely subjects". People, Place and Policy. 8 (1): 65-85. doi:10.3351/PPP.0008.0001.0006. S2CID 55622951. "Irish Travellers | Policy Commons". policycommons
Gypsy,_Roma_and_Traveller
President of Indonesia from 1967 to 1998
better control, the government forced the four Islamic parties to merge into PPP (Partai Persatuan Pembangunan, United Development Party) while the five non-Islamic
Suharto
2025 studio album by Bad Bunny
love, heartbreak, partying, and family, some of the lyrics focus on the complexities that arise from Puerto Rico's political status as an unincorporated territory
Debí_Tirar_Más_Fotos
Country in Central Europe
power parity. The annual median equivalised disposable income was $15,361 (PPP) in 2021. The employment rate was 68.3% in 2017; the employment structure
Hungary
Archipelagic country in Southeast Asia
(PHL) Exports, Imports, and Trade Partners". Observatory of Economic Complexity. Archived from the original on December 5, 2022. Retrieved February 26
Philippines
Country in West Asia
are the 25 richest countries in the world". USA Today. "GDP per capita, PPP (current international $)", World Development Indicators database Archived
Kuwait
Country in South Asia
US$407.79 billion, while GDP (PPP) was US$1.8 trillion in 2026. The nominal per capita GDP was US$1,700, and the GDP (PPP)/capita amounted to US$6,950
Pakistan
Country in Southeastern Europe (1992–2006)
continued to use the Yugoslav Dinar, renaming it the Serbian Dinar. The complexity of the FRY's political relationships, slow progress in privatisation,
Serbia_and_Montenegro
Country in Central America
Central America. Concurrently, international studies assessing economic complexity ranked the country among the less complex market systems globally for
El_Salvador
Country in Northwestern Europe
9 March 2024. "Combustion Engines". OEC - The Observatory of Economic Complexity. Archived from the original on 26 May 2025. Retrieved 26 May 2025. "UK
United_Kingdom
when measured by purchasing power parity (PPP). China accounted for 19% of the global economy in 2025 in PPP terms, and around 17% in nominal terms in
Economy_of_China
State in northern India
Kaushambi and Varanasi, reflecting increasing urbanisation and socio-economic complexity in the region. Out of the sixteen mahajanapadas (lit. 'great realms')
Uttar_Pradesh
Internet protocol
guaranteed-order packet delivery is desirable, but TCP adds too much complexity or overhead. In order for RUDP to gain higher quality of service, RUDP
Reliable User Datagram Protocol
Reliable_User_Datagram_Protocol
Island country in the Indian Ocean
Retrieved 30 January 2026. "The Observatory of Economic Complexity". The Observatory of Economic Complexity. Retrieved 30 January 2026. World Bank (2024). "Seychelles:
Seychelles
Trinidad and Tobago is a high-income economy, with a GDP per capita (at 2024$ PPP) of about $36000, which is slightly less than the Bahamas and Panama (both
Economy of Trinidad and Tobago
Economy_of_Trinidad_and_Tobago
Political party
participating in social and political movements. Its history reflects the complexities of Punjab's political landscape and its contribution to the larger communist
Communist Party of India (Marxist)
Communist_Party_of_India_(Marxist)
Transport layer computer network protocol
error correction, has little effect on the HTTP/2 stack's size or overall complexity. This organization allows future changes to be made more easily as it
QUIC
West's economic growth vs other advanced regions
Divergence. Technology led to increased industrialization and economic complexity in the areas of agriculture, trade, fuel, and resources, further separating
Great_Divergence
Intergovernmental forum of Southeast Asian nations
doi:10.1017/S1468109923000257. ISSN 1468-1099. "Southeast Asia - GDP based on PPP, share of world". International Monetary Fund. Retrieved 28 March 2026. "Joint
ASEAN
Distributed file system protocol
NFSv3 allowing it to function behind restrictive firewalls without the complexity of Portmap and MOUNT protocols. YANFS/WebNFS has a fixed TCP/UDP port
Network_File_System
Municipality and largest city in China
$1.66 trillion in PPP) that makes up 4% of China's GDP, and a GDP per capita of CN¥228,280 (US$32,840 in nominal; US$66,944 in PPP). In 2022, the average
Shanghai
the world in nominal terms. Its GDP per capita in purchasing power parity (PPP) terms ranks third among G7 countries. Among OECD members, Canada has a highly
Economy_of_Canada
Economic Outlook". 29 March 2019. "Poverty headcount ratio at $5.50 a day (2011 PPP) (% of population) – Botswana". data.worldbank.org. World Bank. Retrieved
Economy_of_Botswana
Protection of computer systems from information disclosure, theft or damage
in everyday life, cybersecurity has emerged as a critical concern. The complexity of modern information systems—and the societal functions they underpin—has
Computer_security
Short-range wireless technology standard
when necessary. The adopted protocols include: Point-to-Point Protocol (PPP) Internet standard protocol for transporting IP datagrams over a point-to-point
Bluetooth
travel, tourism, insurance
PPP COMPLEXITY
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travel, tourism, insurance