PolyAgent/wiki_arabic_en_parallel_20231101 huggingface dataset:
نكسس ون

نكسس ون هو هاتف ذكي انتجته جوجل بالتعاون مع إتش تى سى طرح في الخامس من يناير عام 2010 في مؤتمر صحفي عقدته غوغل لذلك. يحوي نكسس ون على نظام تحويل الصوت إلى كتابه ازالة التشويشات في التسجيل بالإضافة إلى التوجيهات الصوتية أثناء القيادة.
يتم بيع نكسس ون فري سيم (غير محتكر لشركة اتصالات واحده)
الجهاز يستعمل نظام أندرويد 2.2 لكنه من تطوير جوجل.
مزايا الجوال
سرعة المعالج 1 غيغا هيرتز مع ذاكرة رام 512 ميغا بايت مما يضمن حداً أدنى لتوقف الجوال عن الاستجابة
ذاكرة داخلية قابلة للتوسع ببطاقات مايكرو إس دي لتصل إلى 32 غيغا بايت
يحتوي على كرة تحكم لتغطي دور الماوس
شاشة لمس سعوية بتقنية عرض شاشة المصفوفة العضوية النشطة ذات الصمام الثنائي الباعث للضوء ودقة عالية 800 × 480
كاميرا 5 ميكا بيكسل وتصوير فيديو بدقا D1 أي 720 × 480
تصفح سريع للإنترنت عبر البروتوكول HSDPA وبواسطة متصفح إنترنت آندرويد
تحديد الموقع الجغرافي بواسطة نظام تحديد المواقع العالمي المساعد مع تطبيق خرائط غوغل وبوصلة رقمية
السلبيات
بعض التقارير تفيد أن شاشة العرض غير واضحة ويصعب رؤيتها في ضوء الشمس المباشر
بالرغم من أن شاشة الجوال من النوع اللمس إلا أنها لا تؤمن ميزة التحكم باللمس المتعدد لكن يمكن جعل الهاتف يدعمها عن طريق ترقية للهاتف
مراجع
وصلات خارجية
الموقع الرسمي
مواصفات نكسس ون وتقييمه
أجهزة أندرويد
أجهزة تحديد المواقع والملاحة
إم بي إي جي
جوجل
جوجل نكسس
لاعبو صوت رقمي
هواتف ذكية
هواتف شركة إتش تي سي المحمولة
هواتف محمولة عرضت في 2010
لاوخهايم

لاوخهايم
لاخهايم هي مدينة وبلدة ألمانية تقع في ألمانيا في بادن-فورتمبيرغ. يقدر عدد سكانها بـ 4,698 نسمة .
انظر أيضًا
قائمة مدن ألمانيا
مراجع
أسترايس
فورتمبيرغ
بلدات بادن فورتمبرغ
بروس غودوين

بروس غودوين هو مدرس وسياسي أمريكي، ولد في 8 سبتمبر 1949 في ديفايانس في الولايات المتحدة، وتوفي في 14 سبتمبر 2020. نشط حزبياً في الحزب الجمهوري. وقد انتخب .
مراجع
أعضاء مجلس نواب ولاية أوهايو
جمهوريون من ولاية أوهايو
خريجو جامعة بولينغ غرين الحكومية
خريجو جامعة توليدو
سياسيون أمريكيون في القرن 21
معلمو مدارس من أوهايو
مواليد 1949
وفيات 2020
أعضاء الحزب الجمهوري في مجلس نواب ولاية أوهايو
ذا كينغ أوف فايترز: ماكسميوم إمباكت

ذا كينغ أوف فايترز: ماكسميوم إمباكت ، هي لعبة فيديو إلكترونية من نوع لعبة قتال، أنتجها شركة إس إن كاي نيو جيو ونويز فاكتوري سنة 2004م، تعمل لنظامي إكس بوكس وبلاي ستيشن 2.
مراجع
وصلات خارجية
KOF: Maximum Impact official Japanese website
KOF: Maximum Impact- Maniax official Japanese website
ألعاب إس إن كاي بلاي مور
ألعاب إكس بوكس
ألعاب بلاي ستيشن 2
ألعاب بلاي ستيشن نتورك
ألعاب ذا كينغ أوف فايترز
ألعاب فيديو 2004
ألعاب فيديو فردية وجماعية
ألعاب فيديو قتالية
ألعاب فيديو مطورة في اليابان
ألعاب قتال
ألعاب قتال ثلاثية الأبعاد
Seth Ward, Texas

Seth Ward, Texas
Seth Ward is an unincorporated community and census-designated place (CDP) in Hale County, Texas, United States. The population was 2,025 at the 2010 census.
History
It is named for Seth Ward College, which was founded in 1910 by Methodist bishop Seth Ward, who took over Central Plains College and Conservatory of Music (founded in 1907) to form Seth Ward College. The school burned in 1916 and was not rebuilt.
Country singer Jimmy Dean was born in Seth Ward.
Geography
Seth Ward is located in northeastern Hale County at (34.212421, -101.696088). It is bordered to the southwest by the city of Plainview, the county seat. Interstate 27 passes just north of Seth Ward, with access from Exit 53. I-27 leads north to Amarillo and south to Lubbock.
According to the United States Census Bureau, the CDP has a total area of , all of it land.
Demographics
2020 census
As of the 2020 United States census, there were 1,603 people, 509 households, and 387 families residing in the CDP.
2000 census
As of the census of 2000, there were 1,926 people, 586 households, and 467 families residing in the CDP. The population density was . There were 693 housing units at an average density of . The racial makeup of the CDP was 60.02% White, 3.63% African American, 1.04% Native American, 0.05% Asian, 32.76% from other races, and 2.49% from two or more races. Hispanic or Latino of any race were 64.07% of the population.
There were 586 households, out of which 48.8% had children under the age of 18 living with them, 56.0% were married couples living together, 16.0% had a female householder with no husband present, and 20.3% were non-families. 16.7% of all households were made up of individuals, and 6.0% had someone living alone who was 65 years of age or older. The average household size was 3.29 and the average family size was 3.69.
In the CDP, the population was spread out, with 38.0% under the age of 18, 9.8% from 18 to 24, 27.9% from 25 to 44, 15.4% from 45 to 64, and 8.9% who were 65 years of age or older. The median age was 27 years. For every 100 females, there were 91.5 males. For every 100 females age 18 and over, there were 99.0 males.
The median income for a household in the CDP was $24,167, and the median income for a family was $28,000. Males had a median income of $22,152 versus $18,583 for females. The per capita income for the CDP was $9,663. About 19.2% of families and 25.7% of the population were below the poverty line, including 28.9% of those under age 18 and 44.5% of those age 65 or over.
Education
Seth Ward is served by the Plainview Independent School District.
References
Census-designated places in Hale County, Texas
Census-designated places in Texas
Unincorporated communities in Hale County, Texas
Unincorporated communities in Texas
Yoo Chang-hyun

Yoo Chang-hyun (born May 14, 1985) is a South Korea football player who plays for Seongnam FC.
Club career statistics
References
1985 births
Living people
South Korean men's footballers
Men's association football forwards
Pohang Steelers players
Gimcheon Sangmu FC players
Jeonbuk Hyundai Motors players
Seongnam FC players
Seoul E-Land FC players
K League 1 players
K League 2 players
Footballers from Gyeonggi Province
1997 Winter Universiade

1997 Winter Universiade
The 1997 Winter Universiade, the XVIII Winter Universiade, took place in Muju and Chonju (Jeonju), South Korea. The snow sport events were held in Muju Resort in Muju, while the ice events were held in Chonju.
On 6 July 1993 during the 1993 Summer Universiade in Buffalo, FISU decided that South Korea would host the 1997 Winter Universiade. These were both the first winter multi-sport event and Universiade held in South Korea.
Logo
The two laughing profiles in a U-shape are inspired by a 'U', the first letter of the Universiade and intended to give out a soft and tender image.
The colors of blue and red, the two theme colors of the Korean national flag, Taeguk' ki, symbolizes the goal of the Winter Universiade '97-bringing harmony among university students from every corner of the globe through a sports festival.
The red circle at the upper right corner of the emblem is the symbol and dream of youth for a brighter and more peaceful future.
Mascot
The official mascot of the 1997 Winter Universiade is Mudori (무돌이), a squirrel. Its name is derived from the main host county, Muju.
Venues
Muju
Muju Resort – Alpine skiing
Ski jumping venue – Ski jumping, Nordic combined, opening and closing ceremonies
Cross-country skiing and biathlon venue (currently golf courses) – Cross-country skiing, biathlon and Nordic combined
Chonju (Jeonju)
Chonju Indoor Ice Rink #1 – Figure skating and short track speed skating
Chonju Indoor Ice Rink #2 (currently Hwasan Gymnasium) – Ice hockey
Chonju Stadium – Speed skating (on the temporary ice mat)
Medal table
Sports
Apline skiing
Figure skating
Ski jumping
See also
1999 Asian Winter Games
References
1997
U
U
U
Muju County
Sports competitions in Jeonju
Multi-sport events in South Korea
January 1997 sports events in Asia
February 1997 sports events in Asia
Winter sports competitions in South Korea
Ernest Griffith Price

Ernest Griffith Price (13 May 1870 – 5 January 1962) was a British National Liberal, later Liberal politician and wharfinger.
Family and education
Price was the son of John T Griffith Price of Ilford in Essex. He was educated at Ilford College. In 1900 he married Maude Ethel Marshall, the daughter of an army Major and Justice of the Peace from Johannesburg, South Africa.
Business career
Price went into business as a contractor. He became a director of various companies, most importantly of Bridge Wharves Co. Ltd and Shepwood Partition Brick Co. Ltd. He was also a director of B.Goodman & Co., demolition contractors. Price was sometime President of his Trade Association and Past Master of the Worshipful Company of Paviors in the City of London.
Politics
One source indicates that Price was a Conservative in politics but at the 1922 general election he was elected Member of Parliament for Shoreditch as a National Liberal, that is a supporter of the former prime minister David Lloyd George. At the election his Liberal opponent was Dr Christopher Addison once a strong supporter of Lloyd George himself. Addison polled over 6,000 votes but finished bottom of the poll. However, Price could not aggregate the former Liberal and National Liberal at the 1923 and he lost the seat to Labour even though he had no Conservative opponent.
Price was also a member of the Board of Management of the Reedham Orphanage in Purley.
Death
He died aged 91 on 5 January 1962.
References
External links
1870 births
1962 deaths
Liberal Party (UK) MPs for English constituencies
UK MPs 1922–1923
People from Ilford
National Liberal Party (UK, 1922) politicians
Geneviève Lalonde

Geneviève Lalonde (born September 5, 1991) is a Canadian middle- and long-distance runner competing primarily in the 3000 metres steeplechase. Her biggest success to date is winning the gold medal at the 2019 Pan American Games. Lalonde won the bronze medal as a competitor for New Brunswick at the 2013 Jeux de la Francophonie in Nice, France. She also won the gold medal for New Brunswick at the 2013 Canada Summer Games in Sherbrooke, Quebec in the 2,000 m steeplechase. Lalonde holds the Canadian record in the 3,000 m steeplechase.
In July 2016, she was officially named to Canada's Olympic team. On August 13, 2016, she qualified for the women's 3000m steeplechase final with a personal best and new Canadian record of 9:30.24.
On August 11, 2017, she finished 13th in the Women's 3000 meters steeplechase finals at the 2017 World Championships in Athletics in London lowering the Canadian record once again to 9:29.99. On May 18, 2019, she placed 7th at the Shanghai Golden Grand Prix with a time of 9:29.82, again lowering the national record.
Competition record
Personal bests
Outdoor
Indoor
References
External links
1991 births
Living people
Athletes from Montreal
Sportspeople from Moncton
Athletes (track and field) at the 2018 Commonwealth Games
Athletes (track and field) at the 2015 Pan American Games
Athletes (track and field) at the 2019 Pan American Games
Athletes (track and field) at the 2016 Summer Olympics
Canadian female long-distance runners
Canadian female middle-distance runners
Canadian female steeplechase runners
Olympic track and field athletes for Canada
Pan American Games bronze medalists for Canada
Pan American Games track and field athletes for Canada
Pan American Games gold medalists for Canada
Pan American Games gold medalists in athletics (track and field)
Pan American Games medalists in athletics (track and field)
World Athletics Championships athletes for Canada
Medalists at the 2015 Pan American Games
Medalists at the 2019 Pan American Games
Commonwealth Games competitors for Canada
Athletes (track and field) at the 2020 Summer Olympics
21st-century Canadian women
21st-century Canadian people
ARNT2

ARNT2 (Aryl hydrocarbon receptor nuclear translocator 2) هوَ بروتين يُشَفر بواسطة جين ARNT2 في الإنسان.
الوظيفة
الأهمية السريرية
المراجع
قراءة متعمقة
جينات على كروموسوم 15
خواجو الكرماني

خواجو الكرماني (ت. 763 هـ) هو متصوف و شاعر، من بلاد فارس.
هو أبو العطاء كمال الدين محمود بن علي بن محمود المسترشدي، وقيل المرشدي، الكرماني، الملقب بنخلبند شعراء، المشتهر بخواجو. ولد في كرمان في الخامس عشر من شوال سنة 689 هـ. قام برحلة زار فيها الشام والقدس و الحجاز والعراق. أخذ التصوف عن علاء الدولة السمناني.
كتب قصيدة تروي حكاية الأمير الفارسي هميا وهمايون. توفي في شيراز سنة 763 هـ، وقيل سنة 753 هـ، وقيل سنة 742 هـ.
المصادر
خواجو الكرماني - معجم الشعراء
شعراء من إيلخانية
أشخاص من كرمان
أشخاص من محافظة كرمان
إيرانيون في القرن 14
شعراء صوفيون
شعراء فرس
شعراء فرس في القرن 14
صوفيون فرس
كتاب القرن 14
مواليد 1280
مواليد 1290
مواليد في كرمان
وفيات 1352
وفيات 763 هـ
ألين فرديناند أوين

ألين فرديناند أوين هو محامي وسياسي أمريكي، ولد في 9 أكتوبر 1816 في مقاطعة ويلكس في الولايات المتحدة، وتوفي في 7 أبريل 1865 في كولومبوس في الولايات المتحدة. حزبياً، نشط في الحزب الديمقراطي. وقد انتخب عضو مجلس نواب جورجيا وانتخب عضو مجلس النواب الأمريكي.
مراجع
أشخاص من تالبوتون
أشخاص من مقاطعة ويلكس (كارولاينا الشمالية)
أعضاء حزب اليمين في مجلس النواب الأمريكي
أعضاء حزب اليمين في مجلس النواب الأمريكي من ولاية جورجيا
أعضاء حزب اليمين في ولاية جورجيا
أعضاء مجلس النواب الأمريكي من ولاية جورجيا
أعضاء مجلس نواب ولاية جورجيا
خريجو جامعة جورجيا
خريجو كلية هارفارد للحقوق
خريجو كلية ييل
ديمقراطيون من ولاية جورجيا
سياسيون أمريكيون في القرن 19
محامون أمريكيون في القرن 19
محامون من ولاية جورجيا
ملاك عبيد أمريكيون
مواليد 1816
وفيات 1865
Rough Rock, Arizona

Rough Rock, Arizona
Rough Rock is a census-designated place (CDP) in Apache County, Arizona, United States. The population was 414 at the 2010 census.
Geography
Rough Rock is located at (36.414660, -109.855648).
According to the United States Census Bureau, the CDP has a total area of , all land.
Demographics
As of the census of 2000, there were 1300 people, 113 households, and 89 families living in the CDP. The population density was . There were 152 housing units at an average density of . The racial makeup of the CDP was 96.2% Native American, 2.8% White, 0.6% Asian, and 0.4% from two or more races. 0.2% of the population were Hispanic or Latino of any race.
There were 113 households, out of which 50.4% had children under the age of 18 living with them, 54.0% were married couples living together, 18.6% had a female householder with no husband present, and 21.2% were non-families. 19.5% of all households were made up of individuals, and 4.4% had someone living alone who was 65 years of age or older. The average household size was 4.15 and the average family size was 4.97.
In the CDP, the age distribution of the population shows 42.9% under the age of 18, 9.6% from 18 to 24, 26.4% from 25 to 44, 16.6% from 45 to 64, and 4.5% who were 65 years of age or older. The median age was 23 years. For every 100 females, there were 95.4 males. For every 100 females age 18 and over, there were 90.1 males.
The median income for a household in the CDP was $26,172, and the median income for a family was $26,484. Males had a median income of $28,068 versus $11,346 for females. The per capita income for the CDP was $6,741. About 23.7% of families and 29.8% of the population were below the poverty line, including 37.2% of those under age 18 and 20.0% of those age 65 or over.
Education
The area is served by Chinle Unified School District #24, which operates Chinle High School.
In addition the Rough Rock Community School is a tribal school associated with the Bureau of Indian Education.
Popular culture
The town is mentioned in Judy Collins' "Song For Martin": "In Rough Rock, Arizona, he lived for many years alone. A gangly kid from Colorado, who could sing the sweetest song...."
References
Census-designated places in Apache County, Arizona
Census-designated places in Arizona
Populated places on the Navajo Nation
راي ستيفنز (موسيقي)

راي ستيفنز (موسيقي)
راي ستيفنز هو موسيقي وعازف بيانو ومغني ومغن مؤلف أمريكي، ولد في 24 يناير 1939 في جورجيا في الولايات المتحدة.
مراجع
وصلات خارجية
أشخاص على قيد الحياة
أشخاص من مقاطعة كوب (جورجيا)
أعضاء قاعة مشاهير موسيقى الكانتري
حائزون على جائزة غرامي
خريجو جامعة جورجيا الحكومية
عازفو بيانو أمريكيون
عازفو بيانو أميركيون في القرن 20
عازفو بيانو أميركيون في القرن 21
عازفو بيانو كانتري أمريكيون
فنانو تسجيلات آر سي إيه
فنانو تسجيلات وورنر بروس
كتاب أغان من ولاية جورجيا
كوميديون أمريكيون في القرن 20
مغنون من ولاية جورجيا
مغنون وكتاب أغان أمريكيون
مغنون وكتاب أغاني كنتري أمريكيون
مواليد 1939
موسيقيو كانتري من ولاية جورجيا
موسيقيو كوميديا أمريكيون
موسيقيون ذكور أمريكيون في القرن 20
موسيقيون ذكور أمريكيون في القرن 21
مغنون وكتاب أغان من ولاية جورجيا
Emmar Towers

Emmar Towers are commercial towers, located in Amman, Jordan, between 5th and 6th circles. The towers feature conference rooms and 78 offices. They are considered to be one of Amman's landmarks due to their unique architecture.
References
See also
List of tallest buildings in Amman
Buildings and structures in Amman
Tourist attractions in Amman
جلوريا كايزر

جلوريا كايزر Gloria Kaiser (ولدت في عام 1950 في كوفلاخ في شتايرمارك) هي أديبة نمساوية.
تشتهر جلوريا كايزر بكتابة الروايات التاريخية. وتعيش حاليا في جراتس.
أعمالها
من رواياتها:
ضحية بال مغزى 1991
دونا ليبوبولدينا .. الهابسبورجية على العرش البرازيلي 1995
بيدرو الثاني ملك البرازيل.. ابن الهابسبورجية 1997
الجوائز
وقد حصلت على الجائزة الأدبية من مقاطعة شتايرمارك في عام 1994.
مراجع
أشخاص على قيد الحياة
كتاب وكاتبات ألمان
مواليد 1950
كاتبات نمساويات في القرن 20
كاتبات نمساويات في القرن 21
روائيون تاريخيون نمساويون
فراهية

فراهية هي قرية في مقاطعة ميانة، إيران. عدد سكان هذه القرية هو 77 في سنة 2006.
مراجع
أماكن مأهولة في مقاطعة ميانة
ستينا سوربون

ستينا سوربون أو كريستينا سوربون هي ممثلة سويدية، ولدت في 9 مارس 1918 وتوفيت في 15 مارس 1996.
المصادر
National Fire Protection Association

National Fire Protection Association
The National Fire Protection Association (NFPA) is a U.S.-based international nonprofit organization devoted to eliminating death, injury, property, and economic loss due to fire, electrical, and related hazards. , the NFPA claims to have 50,000 members and 9,000 volunteers working with the organization through its 250 technical committees.
History
In 1895, a Committee on Automatic Sprinkler Protection was formed in Massachusetts by men affiliated with several fire insurance companies and a pipe manufacturer to develop a uniform standard for the design and installation of fire sprinkler systems. At the time, there were nine such standards in effect within of Boston, Massachusetts, and such diversity was causing great difficulties for plumbers working in the New England region.
The next year, the committee published its initial report on a uniform standard, and went on to form the NFPA in late 1896. The committee's initial report evolved into NFPA 13, Standard for the Installation of Sprinkler Systems, the most widely used fire sprinkler standard.
Around 1904, the NFPA began to expand its membership from affiliates of fire insurance companies to many other organizations and individuals, and also expanded its mission beyond promulgating fire sprinkler standards.
Codes and standards
The association publishes more than 300 consensus codes and standards intended to minimize the possibility and effects of fire and other risks. The codes and standards are administered by more than 250 technical committees consisting of approximately 9,000 volunteers.
Mascot
Sparky the Fire Dog is the official mascot of the National Fire Protection Association. Created in 1951 to promote fire safety education for children, he is a Dalmatian dressed in firefighting gear.
A children's book about Sparky by Don Hoffman was published in 2011. He serves as the spokesdog for Fire Prevention Week each October in the United States and Canada.
References
External links
Official website for Sparky the Fire Dog
Child education resources
Electrical safety standards organizations
Fire protection organizations
Firefighting in the United States
Non-profit organizations based in Massachusetts
Occupational safety and health organizations
Organizations established in 1896
Quasi-public entities in the United States
Quincy, Massachusetts
Standards organizations in the United States
Patrick Eddie

Patrick Eddie is a former American basketball player who played center in the National Basketball Association for the New York Knicks during the 1991–92 NBA season. He was the head coach of the Heritage Christian High School Varsity basketball team in 2012–13 and 2013–14. Eddie played college basketball for Arkansas State and Ole Miss.
References
1967 births
Living people
American men's basketball players
Arkansas State Red Wolves men's basketball players
Basketball players from Milwaukee
Centers (basketball)
New York Knicks players
Ole Miss Rebels men's basketball players
Undrafted National Basketball Association players
Ministry of the Pen

Ministry of the Pen
The Ministry of the Pen was a ministerial position in Tunisia between 1860 and the end of the monarchical regime in 1957.
Bach kateb
The Minister of the Pen replaced the former role of the Bey's principal secretary (bach kateb). The bach katebs under each ruler were:
Hussein Bey: Belhassen Sehili and :fr:Hussein Khouja
Ali Bey: Abdellatif Sehili then Abderrahmane Baklouti
Mohamed Rachid Bey: :fr:Ahmed Lasram
Ali II Bey: Abderrahmane Baklouti
Hammouda Pasha: Abderrahmane Baklouti, :fr:Hammouda Ben Abdelaziz, Mohamed Darnaoui, :fr:Mohamed Lasram III
Hussein II Bey: :fr:Mahmoud Lasram
Mustapha Bey: :fr:Mohamed Lasram IV
Ahmed Bey, Mohammed Bey and Sadok Bey: Mohamed Lasram IV with vacant periods until 1861
Mohamed Lasram IV fell out with Mustapha Khaznadar and resigned from his post, only becoming bach kateb once again in 1855 under Mohammed Bey. At his death in 1861 the post fell vacant, until Sadok Bey appointed Mohammed Aziz Bouattour, a prominent young scribe at court favoured by the Grand Vizier Mustapha Khaznadar in 1864. A few months later, during the constitution of the first modern Tunisian government, the Ministry of the Pen was created, with Bouattour as the first office-holder.
Role and responsibilities
Headed by the Minister of the Pen, the ministry included the Diwan el Incha (chancellery) composed of several secretaries and scribes working in Arabic and Turkish (Tunisia was officially a province of the Ottoman Empire) as well as in various other consular languages such as French and Italian. This chancellery was permanently based in Dar El Bey in the medina of Tunis. Its holder was responsible for drafting and presenting acts and decrees (amr) for the signature of the sovereign or his keeper of the seals (saheb ettabaa). In addition, he was responsible for keeping the sovereign's correspondence with the administration and state institutions, such as the Sharia councils, the diwan of Tunis, or the Ottoman general staff. He was also required to send the Beylical orders to the various provinces of the regency of Tunis.
Under the French protectorate, the ministry was reorganized to house both the chancellery and the central administration of the qaids the interior: it gradually became a sort of interior ministry. It was indeed renamed as the Ministry of the Interior during the second government of Mohamed Chenik in 1950, under Lamine Bey.
Officeholders
References
Government ministers of Tunisia
18th century in Tunisia
19th century in Tunisia
حدسية ميرتنز

حدسية ميرتنز في نظرية الأعداد تنص على أن القيمة المطلقة لدالة ميرتنز لا تتجاوز الجذر المربع ل n. وهي حدسية خاطئة. وضعت عام 1897 وثبت خطأها في عام 1985 وسميت هاته الحدسية هكذا نسبة لعالم الرياضيات فرانز ميرتنز.
تعريف
في نظرية الأعداد، تعرف دالة ميرتنز كما يلي :
حيث μ(k) هي دالة موبيوس.
حدسية ميرتنز تنص على ما يلي
برهان الخطأ
انظر إلى توماس يوهانز ستيلشيس.
شك عالما الرياضيات اللذان برهنا خطأ حدسية ميرتنز أنه لا يوجد أي مثال مضاد ينتهك هاته الحدسية، تقل قيمته عن أو حتى . أثبت فيما بعد، أن أول مثال مضاد يكبر ذلك بكثير.
و
ارتباطها بفرضية ريمان
برهان خطإ حدسية ميرتنز أغلق بصفة نهائية طريقا محتملا نحو برهان فرضية ريمان.
فرضية ريمان تنتج عن المتراجحة : أيا كانت قيمة الثابت C.
برهان خطأ حدسية ميرتنز لا يعني نهائيا برهان خطأ فرضية ريمان. اعتقد لمدة طويلة أن حدسية ميرتنز خاطئة، إلا أن برهان خطإها لم يقدم إلا سنة 1985.
حسب عالم رياضيات اسمه فون ستيرنك قيمة دالة ميرتنز إلى حدود خمسة ملايين، سنة 1912، فوضع حدسيته المعروفة بفرضية ستيرنك.
مراجع
حدسيات خاطئة
نظرية الأعداد التحليلية