OpenLLM-France/wikimedia huggingface dataset:
# Increasing process

An increasing process is a stochastic process...
    $(X_{t})_{t\in M}$
...where the random variables $X_{t}$ which make up the process are increasing almost surely and adapted:
    $0=X_{0}\leq X_{t_{1}}\leq \cdots .$
A continuous increasing process is such a process where the set $M$ is continuous.
Consider a stochastic process $(\mathrm {X} _{t})$ satisfying $X_{t}\leq X_{s}$ a.s. for all $t\leq s$ My question is: Does there exist a modification ${\breve {X}}$ of ,$X$ which almost surely has increasing sample paths $t\mapsto {\breve {X}}_{t}(\omega )$?
# Mountain Park Dam

Mountain Park Dam (National ID # OK20502) is located just upstream of Snyder Dam, on Otter Creek near Mountain Park, Oklahoma. Snyder Lake was drained to accommodate construction of Mountain Park Dam, then restored upon completion of construction, which was performed by O'Neal Construction, Inc. of Ann Arbor, MI. The lake is maintained at sufficient elevation to provide a plunge pool for water released or spilled from the dam. Mountain Park dam impounds the waters of Tom Steed Reservoir.
A thin double-curvature concrete arch flanked by concrete thrust blocks, Mountain Park Dam is 535 feet (163 m) in length with a maximum structural height of 133 feet (41 m). This dam and the rolled earth East and West Dike embankments, which extend 10,311 feet (3,143 m) and 13,235 feet (4,034 m), respectively, form the Tom Steed Reservoir. The reservoir has a total capacity of 117,825 acre-feet (145,335,000 m$^3$), an active capacity of 109,276 acre-feet (134,790,000 m$^3$), and a surface area at the top of conservation pool of approximately 6,400 acres (26 km$^2$).
The outlet works for Mountain Park Dam are in the left thrust block and include three outlet pipes, trashracks, fish screens, emergency and operating slide gates, and motor-operated gate hoists. A 42-inch-diameter, joint-use outlet pipe is provided to release water into the aqueduct system; an 84-inch-diameter flood outlet pipe and a 15-inch-diameter river outlet pipe are provided to release floodwater and small streamflows. The joint-use outlet to the aqueduct system contains two gated intakes at elevations 1382.0 and 1401.0 to permit selection of the level of the reservoir from which water is to be withdrawn; water from both levels may be mixed. This outlet also is provided with fish screens.
The concrete arch portion of Mountain Park Dam functions as an uncontrolled, overflow spillway. The crest is at the top of the exclusive flood control pool at elevation 1,414.0, and is 320 feet (98 m) long measured along the axis of the dam. Concrete piers and training walls at each end of the spillway direct floodwater into and over the crest. Floodwaters fall into a plunge pool energy dissipater at the toe of the dam. The spillway is designed for a maximum discharge of 38,300 cubic feet (1,080 m$^3$) per second with the reservoir at elevation 1,423.6 feet (433.9 m).
# Results in Mathematics

Results in Mathematics/Resultate der Mathematik is a peer-reviewed scientific journal that covers all aspects of pure and applied mathematics and is published by Birkhäuser. It was established in 1978 and the editor-in-chief is Catalin Badea (University of Lille).

## Abstracting and indexing

This journal is abstracted and indexed by:
* Science Citation Index Expanded
* Mathematical Reviews
* Scopus
* Zentralblatt Math
* Academic OneFile
* Current Contents/Physical, Chemical and Earth Sciences
* Mathematical Reviews
According to the Journal Citation Reports, the journal has a 2013 impact factor of 0.642.
# Nerve to levator ani

The levator ani nerve is a nerve to the levator ani muscles. It originates from sacral spinal nerve 4.
# Ochradenus socotranus

Ochradenus socotranus is a species of plant in the Resedaceae family. It is a shrub endemic to the islands of Socotra and Samhah in Yemen's Socotra Archipelago. Its natural habitat is dry rocky slopes from 10 to 700 metres elevation.
The species is most closely related to Ochradenus arabicus Chaudhary, Hillc. and A.G.Mill. from the Arabian Peninsula and O. baccatus Del. from the Arabian Peninsula and northeastern Africa. It is dioecious like O. arabicus, but differs in having fleshy fruits and dull rather than glossy seeds. O. baccatus has hermaphrodite flowers and rugose seeds.
# Marie-Noëlle Ada

Ada Meyo Marie Noelle (born 6 April 1990) is a Gabonese beauty pageant titleholder who was crowned Miss Gabon 2012.

## Miss Gabon 2012

Marie Noelle Ada is from the province of Ngounie. She was crowned Miss Gabon 2012 by Miss Universe 2011 Leila Lopes during a festive gala on December 29, 2011, at the "City of Democracy" in Libreville. She won cash, a house and a Hyundai ix35. She entered the Miss World 2012 competition in China.

## Miss World

On August 18, 2012, she represented Gabon at Miss World held in the Ordos Stadium Arena in Ordos City, China.
Ada said that her goals included the construction of a nursing home during her reign as Miss Gabon.
# USA-288

USA-288, also known as Advanced Extremely High Frequency 4 or AEHF-4, is a military communications satellite operated by the United States Air Force. It is the fourth of six satellite to be launched as part of the Advanced Extremely High Frequency program, which replaced the earlier Milstar system.

## Satellite description

The USA-288 satellite was constructed by Lockheed Martin Space, and is based on the A2100 satellite bus. The satellite has a mass of 6,168 kg (13,598 lb) and a design life of 14 years. It will be used to provide super high frequency (SHF) and extremely high frequency (EHF) communications for the United States Armed Forces, as well as those of the United Kingdom, the Netherlands, and Canada.

## Launch

USA-288 was launched by United Launch Alliance, aboard an Atlas V 551 flying from SLC-41 at the Cape Canaveral Air Force Station (CCAFS). The launch occurred at 04:15 UTC on 17 October 2018, placing the satellite in a parking orbit of 176 kilometers by 485 kilometers. A second burn placed the satellite into a geostationary transfer orbit (GTO) with a perigee of 202 km (126 mi), an apogee of 22,578 km (14,029 mi), and 25.9° inclination. A third and final burn, designed to minimize the amount of orbit raising required by the satellite, placed AEHF-4 in a 12.8° inclination orbit with a perigee of 8,914 kilometers and an apogee of 35,300 kilometers. The satellite was successfully deployed in this orbit about three and a half hours after launch.
# Key clustering

Key or hash function should avoid clustering, the mapping of two or more keys to consecutive slots. Such clustering may cause the lookup cost to skyrocket, even if the load factor is low and collisions are infrequent. The popular multiplicative hash is claimed to have particularly poor clustering behaviour.
# Wales women's national under-18 basketball team

The Wales women's national under-18 basketball team is a national basketball team of Wales, administered by the Basketball Wales. It represents the country in women's international under-18 basketball competitions.
The team participated 6 times at the FIBA U18 Women's European Championship Division C and won bronze medals in 2013 and 2015.
# Increased limit factor

Increased limit factors or ILFs are multiplicative factors that are applied to premiums for "basic" limits of coverage to determine premiums for higher limits of coverage. They are commonly used in casualty insurance pricing.

## Overview

Often, limited data is available to determine appropriate charges for high limits of insurance. In order to price policies with high limits of insurance adequately, actuaries may first determine a "basic limit" premium and then apply increased limits factors. The basic limit is a lower limit of liability under which there is a more credible amount of data.
For example, basic limit loss costs or rates may be calculated for many territories and classes of business. At a relatively low limit of liability, such as $100,000, there may be a high volume of data that can be used to derive those rates. For higher limits, there may be a credible volume of data at the countrywide level but not much data available for individual territories or classes. Increased limit factors can be derived at the countrywide level (or some other broad grouping) and then applied to the basic limit rates to arrive at rates for higher limits of liability.

## Formula

An increased limit factor (ILF) at limit L relative to basic limit B can be defined as
$ILF(L)={\dfrac {Expected\ indemnity\ cost(L)+ALAE(L)+ULAE(L)+RL(L)}{Expected\ indemnity\ cost(B)+ALAE(B)+ULAE(B)+RL(B)}}$
where ALAE is the allocated loss adjustment expense provision, ULAE is the unallocated loss adjustment expense provision, and RL is the risk load provision.
An indemnity-only ILF can be expressed as
$ILF(L)={\dfrac {Expected\ indemnity\ cost(L)}{Expected\ indemnity\ cost(B)}}={\dfrac {Expected\ frequency(L)*Expected\ severity(L)}{Expected\ frequency(B)*Expected\ severity(B)}}$
Often, frequency is assumed to be independent of the policy limit, in which case the formula can be simplified to
$ILF(L)={\dfrac {Expected\ severity(L)}{Expected\ severity(B)}}$
The expected severity at each limit is often referred to as "limited average severity," or LAS.

## Examples

In the United States, many insurers use ILFs published by the Insurance Services Office, a division of Verisk.
# SCRM

SCRM may refer to:
* Scottish Centre for Regenerative Medicine
* Supply chain risk management
# Neolema ovalis

Neolema ovalis is a species of leaf beetle in the family Chrysomelidae. It is found in North America.
# Obrium prosperum

Obrium prosperum is a species of beetle in the Cerambycidae (longhorn beetles) family. The scientific name of this species was first published in 2008 by Holzschuh.
# Scaly boy

The scaly boy (Aboma etheostoma) is a species of goby native to the Pacific coast of Central America from Mexico to Panama. This species is the only known member of its genus.

## Description

The scaly boy can grow as long as 3.4 centimetres (1.3 in). It has notably large eyes and a small mouth, as well as being mottled light brown in color.

## Habitat

This species is demersal, inhabiting shallow estuaries with a substrate of mud and sand to a depth of 8 m. This habitat is likely to be impacted by the expansion of shrimp farming and aquaculture, but data to assess the effects of habitat loss on the scaly boy are currently lacking.
# Statue of Thomas Jefferson (Decatur, Georgia)

The Thomas Jefferson statue is a bronze statue of Thomas Jefferson which was formerly located on a bench next to the Old DeKalb County Courthouse in Decatur, Georgia. The statue depicts Jefferson writing the United States Declaration of Independence and was donated to the city by a private citizen to honor U.S. senator Paul Coverdell, who died in 2000. Following a rally during the George Floyd protests on June 17, 2020, it was announced that the statue would be removed, citing the fact that Jefferson was a slave-owner who owned over 600 slaves and fathered several children with Sally Hemings, his sister-in-law and a slave he owned. On the morning of June 19, 2020 the statue was removed at the request of the donor "to protect it from damage." This came several days after the removal of the DeKalb County Confederate Monument, an obelisk on the courthouse grounds that honored the Lost Cause of the Confederacy.
# Spain men's national under-20 basketball team

The Spain men's national under-20 basketball team is the representative for Spain in international basketball competitions, and it is organized and run by the Spanish Basketball Federation. The U20 team represents Spain at the FIBA U20 EuroBasket. Between 1993 and 2001, the U21 team represented Spain at the former FIBA Under-21 World Championship.

## FIBA U20 EuroBasket record

| Year | Pos. | Pld | W | L |
| 1992 | 6th | 7 | 2 | 5 |
| 1994 | | 7 | 5 | 2 |
| 1996 | | 7 | 5 | 2 |
| 1998 | 4th | 8 | 3 | 5 |
| 2000 | | 8 | 7 | 1 |
| 2002 | | 8 | 5 | 3 |
| 2004 | 11th | 7 | 3 | 4 |
| 2005 | 9th | 8 | 6 | 2 |
| 2006 | 11th | 8 | 4 | 4 |
| 2007 | | 8 | 7 | 1 |
| 2008 | | 8 | 5 | 3 |
| 2009 | | 9 | 7 | 2 |
| 2010 | | 9 | 6 | 3 |
| 2011 | | 9 | 9 | 0 |
| 2012 | | 9 | 5 | 4 |
| 2013 | | 10 | 6 | 4 |
| 2014 | | 10 | 7 | 3 |
| 2015 | | 10 | 7 | 3 |
| 2016 | | 7 | 6 | 1 |
| 2017 | 4th | 7 | 5 | 2 |
| 2018 | 7th | 7 | 3 | 4 |
| 2019 | | 7 | 6 | 1 |
| 2022 | | 7 | 7 | 0 |
| 2023 | 10th | 7 | 5 | 2 |
| 2024 | 7th | 7 | 5 | 2 |
| Total | 25/25 | 199 | 136 | 63 |

## FIBA Under-21 World Championship record

| Year | Pos. | Pld | W | L |
| 1993 | 7th | 8 | 3 | 5 |
| 1997 | 7th | 8 | 4 | 4 |
| 2001 | 5th | 8 | 6 | 2 |
| 2005 | Did not qualify | Did not qualify | Did not qualify | Did not qualify |
| Total | 3/4 | 24 | 13 | 11 |
# Tarap

Tarap may refer to:
* Tarap, Attock, a village and Union Council in the Attock District of Punjab province in Pakistan
* Artocarpus odoratissimus or tarap, a tree in the mulberry and fig family Moraceae
* Tarap (film), a 2006 Pakistani Urdu film
* Tarap (TV series), a 2020 Pakistani TV series
# Mpraeso Amanfrom

Mpraeso Amanfrom is a town in the Kwahu West Municipal District of the Eastern Region of Ghana. The population is about 2,000 people, mostly Kwahus. Main occupations include farming and making pottery.
# Interswitch

Interswitch is a leading African integrated payments and digital commerce platform company headquartered in Lagos. Founded in 2002 in Nigeria, as a transaction switching and processing company with national focus, Interswitch progressively evolved to incorporate consumer financial services with the successive launches of Quickteller, a retail payments ecosystem linking merchants and billers with consumers, as well as Verve, a homegrown, EMV-certified payments card scheme.

## History

After using an ATM for the first time in Scotland, Mitchell Elegbe developed an idea to create electronic payment infrastructure in Nigeria while he was working on implementing SWIFT. Working at Telnet, his boss approved the transaction switch. However most players he sold to were not interested in the software for switching; this led him to creating Interswitch so as to meet his targets. With the assistance of Accenture, Elegbe and his team established the company, of which he then became CEO. In 2010 two thirds of the company was sold to a consortium led by Helios Investment Partners. In 2011 Interswitch took a 60 per cent stake in Bankom in Uganda.
In 2013 Interswitch entered into an agreement for payment processing with Discover Financial Services.
In September 2014 the company acquired a majority shareholding in Paynet Group, an East-African payments provider.
In 2015 Interswitch launched a $10m investment fund for African start-ups in the payments sector.
In February 2018, Interswitch unveiled its SPAK National Science Competition to promote and reward excellence in Science, Technology, Engineering and Mathematics in Nigeria.
In January 2023, the Central Bank of Nigeria (CBN) issued Interswitch a Payments Service Holding Company (PSHC) License. This served as one of the inaugural licensees by the CBN in this category. The development interestingly coincided with Interswitch’s 20th anniversary commemoration, which has seen the Company cement its position as a pioneering and integral enabler that has actively supported the growth and development of fintech and payments progressively across Africa over the last 20 years.

## Operations and subsidiaries

The Interswitch company was established as, common African financial services provider and maintains exclusively, a wide array of interconnected datacenters in Africa. The company has over 11,000 ATMs on its network, with more users in Nigeria than anywhere else.
Verve, a payment card industry is another subsidiary of Interswitch. Verve has also been launched in Kenya.
Interswitch also owns Quickteller, originally cited as a Telecommunication airtime vendor, additionally, providing payments services.
Interswitch systems deploys sophisticated inter-networking security and firewalls, as common brand innovation.
In October 2020, Quickteller launched the Qtrybe community, a community of 50 exceptional students from Nigerian tertiary institutions to serve as ambassadors of Quickteller and Interswitch on their campuses.
# Net Worth (2000 film)

Net Worth is a 2000 drama film that starred Todd Field, Craig Sheffer, Daniel Baldwin, Michael T. Weiss, Tara Wood, Ernie Garrett, and Alix Koromzay. It was directed by Kenny Griswold from a script written by Kenny Griswold and Bill Kerig.

## Plot

Four competitive friends agree to a bet: they will all go to a city where none of them know anybody, with only $100 in their pockets. As the winner will be the person who has the greatest net worth at the end of 30 days. Despite all having a different philosophy about work and wealth they all believe they will win the bet.
# Odostomia harveyi

Odostomia harveyi is a species of sea snail, a marine gastropod mollusc in the family Pyramidellidae, the pyrams and their allies.

## Distribution

This species occurs in the following locations:
* European waters (ERMS scope) : North Atlantic Ocean.
# Kirsten Stumpf

Kirsten Stumpf is a retired West German slalom canoeist who competed in the late 1960s. She won a bronze medal in the K-1 team event at the 1967 ICF Canoe Slalom World Championships in Lipno.
# Satish Pande

Satish Pande is an Indian medical doctor, conservationist and researcher from Pune. He is an interventional radiologist at KEM Hospital, Pune. He also is the founder of the Ela Foundation, which works on nature education and conservation. He is a Fellow of the Maharashtra Academy of Sciences and the Linnean Society of London, and has published numerous studies on wild birds.

## Works

* Study of impact of wind farms on birds at the Bhambarwadi Plateau in the Northwestern Ghats
# Sparr

Sparr refers to:
* Sparr, Florida, a town in the United States
* Sparr, Michigan, an unincorporated community
* Otto Christoph von Sparr (1599 or 1605–1668), Field Marshal of Brandenburg-Prussia
* Lord Sparr, character in the book series The Secrets of Droon
* Sparr, a type of Irish axe used by Galloglass
# Mpozo

Mpozo is a town in the Bas-Congo province of the Democratic Republic of the Congo near the border with Angola.

## Transport

The town is served by a railway station on the national network.
# Retalhuleu

The city of Retalhuleu (Spanish pronunciation:) is situated in south-western Guatemala. It is the departmental seat of Retalhuleu Department as well as the municipal seat of Retalhuleu Municipality.
Retalhuleu stands at about 240 metres above sea level. The city has a population of 90,505 (2018 census). Locally it is nicknamed "Reu."

## History

The city played a role in the Bay of Pigs Invasion. For a number of recruits, infantry training was carried out at a CIA-run base code-named JMTrax. The base was on the Pacific coast of Guatemala between Quetzaltenango and Retalhuleu, in the Helvetia coffee plantation. In summer 1960, an airfield (code-named JMadd, aka Rayo Base) was constructed near Retalhuleu, Guatemala. In November 1960, the Retalhuleu recruits also took part in quelling an officers' rebellion in Guatemala, in addition to the intervention of the U.S. Navy.
On August 7 and 8, 2021, Retalhuleu was severely affected by rain, which lasted for 36 hours and caused landslides, floods and other damages to Retalhuleu and other Guatemalan cities. (in Spanish)

## Sports

The local football club is Deportivo Reu which was founded in 2013 after Juventud Retalteca became defunct. Deportivo Reu play their local games at the Estadio Dr. Óscar Monterroso Izaguirre in the Primera División de Ascenso.

## Climate

Puerto San José has a tropical monsoon climate (Köppen: Am) with a very rainy wet season from April to November, and a dry season from December to March.
Climate data for Retalhuleu (1991–2020) :
| Month | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec | Year |
| Record high °C (°F) | 35.8 (96.4) | 37.4 (99.3) | 36.6 (97.9) | 38.0 (100.4) | 37.0 (98.6) | 35.6 (96.1) | 35.8 (96.4) | 36.0 (96.8) | 35.0 (95.0) | 34.3 (93.7) | 36.4 (97.5) | 35.0 (95.0) | 38.0 (100.4) |
| Mean daily maximum °C (°F) | 33.3 (91.9) | 33.5 (92.3) | 33.8 (92.8) | 34.0 (93.2) | 33.2 (91.8) | 32.5 (90.5) | 32.8 (91.0) | 32.9 (91.2) | 32.5 (90.5) | 32.3 (90.1) | 32.8 (91.0) | 33.2 (91.8) | 33.1 (91.6) |
| Daily mean °C (°F) | 27.1 (80.8) | 27.7 (81.9) | 28.3 (82.9) | 28.7 (83.7) | 28.0 (82.4) | 27.2 (81.0) | 27.3 (81.1) | 27.3 (81.1) | 26.6 (79.9) | 26.6 (79.9) | 27.0 (80.6) | 27.0 (80.6) | 27.4 (81.3) |
| Mean daily minimum °C (°F) | 20.7 (69.3) | 21.0 (69.8) | 21.6 (70.9) | 22.4 (72.3) | 22.5 (72.5) | 22.3 (72.1) | 22.0 (71.6) | 22.1 (71.8) | 22.0 (71.6) | 21.9 (71.4) | 21.5 (70.7) | 21.0 (69.8) | 21.8 (71.2) |
| Record low °C (°F) | 18.0 (64.4) | 18.3 (64.9) | 18.0 (64.4) | 19.9 (67.8) | 19.6 (67.3) | 20.0 (68.0) | 19.0 (66.2) | 18.5 (65.3) | 20.4 (68.7) | 19.6 (67.3) | 18.9 (66.0) | 17.7 (63.9) | 17.7 (63.9) |
| Average precipitation mm (inches) | 11.4 (0.45) | 11.0 (0.43) | 38.8 (1.53) | 143.0 (5.63) | 452.6 (17.82) | 476.4 (18.76) | 343.5 (13.52) | 395.9 (15.59) | 527.0 (20.75) | 503.3 (19.81) | 144.4 (5.69) | 37.9 (1.49) | 3,085.2 (121.46) |
| Average precipitation days (≥ 1.0 mm) | 1.2 | 1.1 | 3.4 | 8.4 | 18.8 | 20.1 | 19.3 | 20.0 | 22.9 | 20.8 | 8.1 | 2.2 | 146.3 |
| Source: NOAA ||||||||||||||

## Landmarks

* Map of Retalhuleu
# Neoasterolepisma myrmecobium

Neoasterolepisma myrmecobium is a species of silverfish in the family Lepismatidae. It is found in Europe.
# Odostomia grippiana

Odostomia grippiana is a species of sea snail, a marine gastropod mollusc in the family Pyramidellidae, the pyrams and their allies.

## Description

The large shell large measures 7.5 mm. It is umbilicated, yellowish-white. The nuclear whorls are decollated. The six post-nuclear whorls are decidedly, slopingly, tabulatedly shouldered at the summit, otherwise moderately rounded. They are marked by fine incremental lines and numerous, equal and equally spaced, slender, wavy, spiral threads, of which 6 occur upon the shoulder, and about 40 between the shoulder and the suture. The periphery and the moderately long base of the body whorl is well rounded, marked like the spire. The ear-shaped aperture is moderately large. The posterior angle is obtuse. The inner lip is moderately long, stout, curved, somewhat reflected, provided with a strong fold a little anterior to its insertion. The parietal wall is glazed with a thin callus.

## Distribution

This species occurs in the Pacific Ocean off British Columbia.