vania-janet/multiturn-rag-retrieval-data huggingface dataset:
List of United States Air Force installations
The base is frequently used as a staging base for air units that are transferring into Iraq , Ali Al Salem Air Base Kuwait 29 ° 20 ′ 48 '' N 047 ° 31 ′ 14 '' E ﻿ / ﻿ 29.34667 ° N 47.52056 ° E ﻿ / 29.34667 ; 47.52056 ﻿ ( Ali Al Salem AB ) 386th Air Expeditionary Wing 387th Air Expeditionary Operations Group Primary AFCENT Deployment Base . Primary tactical airlift hub for re-supply missions supporting Coalition operations in Iraq and providing combat service support to land component forces throughout the Persian Gulf Region and Iraq . 387th AEOG provides base operating support - integration for Coalition forces and civilian contractors . Bagram Airfield Afghanistan 34 ° 56 ′ 46 '' N 069 ° 15 ′ 54 '' E ﻿ / ﻿ 34.94611 ° N 69.26500 ° E ﻿ / 34.94611 ; 69.26500 ﻿ ( Bagram AFLD ) 455th Air Expeditionary Wing 755th Air Expeditionary Group Provides the International Security Assistance Force with responsive airpower as part of Operation Enduring Freedom . First constructed during the Soviet invasion of Afghanistan , but it has since been greatly improved . The United States has spent more than $200 million improving Bagram , and the base now includes shops , restaurants , recreational complexes , and housing for thousands of personnel . Kabul International Airport Afghanistan 34 ° 33 ′ 56 '' N 069 ° 12 ′ 39 '' E ﻿ / ﻿ 34.56556 ° N 69.21083 ° E ﻿ / 34.56556 ; 69.21083 ﻿ ( Kabul IAP ) 438th Air Expeditionary Wing 438th Air Expeditionary Advisory Group Provides the International Security Assistance Force with responsive airpower as part of Operation Enduring Freedom . Kandahar Airfield Afghanistan 31 ° 30 ′ 21 '' N 065 ° 50 ′ 52 '' E ﻿ / ﻿ 31.50583 ° N 65.84778 ° E ﻿ / 31.50583 ; 65.84778 ﻿ ( Kandahar AFLD ) 451st Air Expeditionary Group 651st Air Expeditionary Group 738th Air Expeditionary Advisory Group Provides the International Security Assistance Force with responsive airpower as part of Operation Enduring Freedom .
Treaty of Waitangi
KO WIKITORIA te Kuini o Ingarani i tana mahara atawai ki nga Rangatira me nga Hapu o Nu Tirani i tana hiahia hoki kia tohungia ki a ratou o ratou rangatiratanga me to ratou wenua , a kia mau tonu hoki te Rongo ki a ratou me te Atanoho hoki kua wakaaro ia he mea tika kia tukua mai tetahi Rangatira -- hei kai wakarite ki nga Tangata maori o Nu Tirani -- kia wakaaetia e nga Rangatira Maori te Kawanatanga o te Kuini ki nga wahikatoa o te wenua nei me nga motu -- na te mea hoki he tokomaha ke nga tangata o tona Iwi Kua noho ki tenei wenua , ae haere mai nei .
April 2015 Nepal earthquake
2015 Nepal earthquake Kathmandu UTC time 2015 - 04 - 25 06 : 11 : 25 ISC event 607208674 USGS - ANSS ComCat Local date 25 April 2015 ( 2015 - 04 - 25 ) Local time 11 : 56 : 25 NST Magnitude 7.8 ( M ) or 8.1 Depth 8.2 km ( 5.1 mi ) Epicenter 28 ° 13 ′ 48 '' N 84 ° 43 ′ 52 '' E ﻿ / ﻿ 28.230 ° N 84.731 ° E ﻿ / 28.230 ; 84.731 Coordinates : 28 ° 13 ′ 48 '' N 84 ° 43 ′ 52 '' E ﻿ / ﻿ 28.230 ° N 84.731 ° E ﻿ / 28.230 ; 84.731 Type Thrust Areas affected Nepal India China Bangladesh Total damage $10 billion ( about 50 % of Nepal 's nominal GDP ) Max . intensity VIII ( Severe ) Aftershocks 7.3 M on 12 May at 12 : 50 6.7 M on 26 April at 12 : 54 459 aftershocks of 4 M and above as of 24 May 2016 Casualties 8,857 dead in Nepal and 8,964 in total 21,952 injured 3.5 million homeless
Moment-generating function
For a discrete probability mass function , M X ( t ) = ∑ i = 1 ∞ e t x i p i ( \ displaystyle M_ ( X ) ( t ) = \ sum _ ( i = 1 ) ^ ( \ infty ) e ^ ( tx_ ( i ) ) \ , p_ ( i ) ) For a continuous probability density function , M X ( t ) = ∫ − ∞ ∞ e t x f ( x ) d x ( \ displaystyle M_ ( X ) ( t ) = \ int _ ( - \ infty ) ^ ( \ infty ) e ^ ( tx ) f ( x ) \ , dx ) In the general case : M X ( t ) = ∫ − ∞ ∞ e t x d F ( x ) ( \ displaystyle M_ ( X ) ( t ) = \ int _ ( - \ infty ) ^ ( \ infty ) e ^ ( tx ) \ , dF ( x ) ) , using the Riemann -- Stieltjes integral , and where F is the cumulative distribution function .
Degrees of freedom (physics and chemistry)
⟨ E i ⟩ = ∫ d X i α i X i 2 p i ( X i ) = ∫ d X i α i X i 2 e − α i X i 2 k B T ∫ d X i e − α i X i 2 k B T ( \ displaystyle \ langle E_ ( i ) \ rangle = \ int dX_ ( i ) \ , \ , \ alpha _ ( i ) X_ ( i ) ^ ( 2 ) \ , \ , p_ ( i ) ( X_ ( i ) ) = ( \ frac ( \ int dX_ ( i ) \ , \ , \ alpha _ ( i ) X_ ( i ) ^ ( 2 ) \ , \ , e ^ ( - ( \ frac ( \ alpha _ ( i ) X_ ( i ) ^ ( 2 ) ) ( k_ ( B ) T ) ) ) ) ( \ int dX_ ( i ) \ , \ , e ^ ( - ( \ frac ( \ alpha _ ( i ) X_ ( i ) ^ ( 2 ) ) ( k_ ( B ) T ) ) ) ) ) ) ⟨ E i ⟩ = k B T 2 ∫ d x x 2 e − x 2 2 ∫ d x e − x 2 2 = k B T 2 ( \ displaystyle \ langle E_ ( i ) \ rangle = ( \ frac ( k_ ( B ) T ) ( 2 ) ) ( \ frac ( \ int dx \ , \ , x ^ ( 2 ) \ , \ , e ^ ( - ( \ frac ( x ^ ( 2 ) ) ( 2 ) ) ) ) ( \ int dx \ , \ , e ^ ( - ( \ frac ( x ^ ( 2 ) ) ( 2 ) ) ) ) ) = ( \ frac ( k_ ( B ) T ) ( 2 ) ) )
PID controller
u ( t k ) = u ( t k − 1 ) + K p ( ( 1 + Δ t T i + T d Δ t ) e ( t k ) + ( − 1 − 2 T d Δ t ) e ( t k − 1 ) + T d Δ t e ( t k − 2 ) ) ( \ displaystyle u ( t_ ( k ) ) = u ( t_ ( k - 1 ) ) + K_ ( p ) \ left ( \ left ( 1 + ( \ dfrac ( \ Delta t ) ( T_ ( i ) ) ) + ( \ dfrac ( T_ ( d ) ) ( \ Delta t ) ) \ right ) e ( t_ ( k ) ) + \ left ( - 1 - ( \ dfrac ( 2T_ ( d ) ) ( \ Delta t ) ) \ right ) e ( t_ ( k - 1 ) ) + ( \ dfrac ( T_ ( d ) ) ( \ Delta t ) ) e ( t_ ( k - 2 ) ) \ right ) )
Bias of an estimator
MSE ⁡ ( θ ^ ) = ( E ⁡ ( θ ^ ) − θ ) 2 + E ⁡ ( ( θ ^ − E ⁡ ( θ ^ ) ) 2 ) = ( Bias ⁡ ( θ ^ , θ ) ) 2 + Var ⁡ ( θ ^ ) ( \ displaystyle ( \ begin ( aligned ) \ operatorname ( MSE ) ( ( \ hat ( \ theta ) ) ) = & ( \ operatorname ( E ) ( ( \ hat ( \ theta ) ) ) - \ theta ) ^ ( 2 ) + \ operatorname ( E ) ( \ , ( ( \ hat ( \ theta ) ) - \ operatorname ( E ) ( \ , ( \ hat ( \ theta ) ) \ , ) ) ^ ( 2 ) \ , ) \ \ = & ( \ operatorname ( Bias ) ( ( \ hat ( \ theta ) ) , \ theta ) ) ^ ( 2 ) + \ operatorname ( Var ) ( ( \ hat ( \ theta ) ) ) \ end ( aligned ) ) )
Electromagnetic radiation
p = E c = h f c = h λ . ( \ displaystyle p = ( E \ over c ) = ( hf \ over c ) = ( h \ over \ lambda ) . )
Speed of sound
c s o l i d = E ρ , ( \ displaystyle c_ ( \ mathrm ( solid ) ) = ( \ sqrt ( \ frac ( E ) ( \ rho ) ) ) , )
Electromagnetic radiation
The second of Maxwell 's equations yields the magnetic field . The remaining equations will be satisfied by this choice of E , B ( \ displaystyle \ mathbf ( E ) , \ mathbf ( B ) ) .
Heat
d S = d S e + d S i , ( \ displaystyle \ mathrm ( d ) S = \ mathrm ( d ) S_ ( \ mathrm ( e ) ) + \ mathrm ( d ) S_ ( \ mathrm ( i ) ) \ , , )
List of earthquakes in New Zealand
Date Location Region Magnitude ( M ) Magnitude ( M ) Magnitude ( M ) Depth Latitude Longitude Fatalities Further information 4 Sep 2010 Darfield Canterbury 7.1 7.0 6.4 11 km 43.52 ° S 172.16 ° E 2010 Canterbury earthquake 22 Feb 2011 Christchurch Canterbury 6.3 6.1 6.1 6 km 43.58 S 172.67 E 185 2011 Christchurch earthquake 13 Jun 2011 Christchurch Canterbury 6.4 5.9 6.0 7 km 43.56 ° S 172.73 ° E June 2011 Christchurch earthquake 5 Jul 2011 Taupo Waikato 6.5 5.5 5.4 153 km 38.65 ° S 175.70 ° E Felt throughout New Zealand . 7 Jul 2011 Raoul Island Kermadec Islands 7.6 7.6 7.0 20 km 29.31 ° S 176.20 ° W Felt as far away as Christchurch . 22 Oct 2011 Raoul Island Kermadec Islands 7.3 7.4 6.5 33 km 28.99 ° S 176.18 ° W Felt in eastern half of the North Island . 23 Dec 2011 Christchurch Canterbury 6.0 5.9 5.7 7 km 43.52 ° S 172.74 ° E Caused damage in the Christchurch region .
Victoria Falls
Victoria Falls Mosi - oa - Tunya Victoria Falls Location Victoria Falls , Zimbabwe Livingstone , Zambia Coordinates 17 ° 55 ′ 28 '' S 25 ° 51 ′ 24 '' E ﻿ / ﻿ 17.92444 ° S 25.85667 ° E ﻿ / - 17.92444 ; 25.85667 Coordinates : 17 ° 55 ′ 28 '' S 25 ° 51 ′ 24 '' E ﻿ / ﻿ 17.92444 ° S 25.85667 ° E ﻿ / - 17.92444 ; 25.85667 Type Waterfall Total height 108 m ( 355 ft ) ( at center ) Number of drops Watercourse Zambezi River Average flow rate 1088 m / s ( 38,430 cu ft / s ) UNESCO World Heritage Site Official name Mosi - oa - Tunya / Victoria Falls Type Natural Criteria vii , viii Designated 1989 ( 13th session ) Reference no . 509 State Party Zambia and Zimbabwe Region Africa
Pi
4 π k Q = ( \ displaystyle 4 \ pi kQ = ) S ( \ displaystyle ( \ scriptstyle S ) ) E ⋅ d A ( \ displaystyle \ mathbf ( E ) \ cdot d \ mathbf ( A ) )
Heat
T d S = δ Q + T d S u n c o m p e n s a t e d > δ Q . ( \ displaystyle T \ , \ mathrm ( d ) S = \ delta Q + T \ , \ mathrm ( d ) S_ ( \ mathrm ( uncompensated ) ) > \ delta Q . )
pH
pH ( X ) = pH ( S ) + E S − E X z ( \ displaystyle ( \ text ( pH ( X ) ) ) = ( \ text ( pH ( S ) ) ) + ( \ frac ( E_ ( \ text ( S ) ) - E_ ( \ text ( X ) ) ) ( z ) ) )
Lake Kariba
Lake Kariba Coordinates 16 ° 55 ′ S 28 ° 00 ′ E ﻿ / ﻿ 16.917 ° S 28.000 ° E ﻿ / - 16.917 ; 28.000 Coordinates : 16 ° 55 ′ S 28 ° 00 ′ E ﻿ / ﻿ 16.917 ° S 28.000 ° E ﻿ / - 16.917 ; 28.000 Lake type Hydroelectric reservoir Catchment area 663,000 km ( 256,000 sq mi ) Basin countries Zimbabwe , Zambia Max. length 223 km ( 139 mi ) Max . width 40 km ( 25 mi ) Surface area 5,580 km ( 2,150 sq mi ) Average depth 29 m ( 95 ft ) Max . depth 97 m ( 318 ft ) Water volume 180 cubic kilometres ( 43 cu mi ) Surface elevation 485 metres ( 1,591 ft ) Islands Chete Island Sekula Chikanka .
Virunga National Park
Virunga National Park IUCN category II ( national park ) Bukima Camp in the foothills of Mikeno Mountain , home of the Congolese mountain gorillas Location Democratic Republic of the Congo Nearest city Goma Coordinates 0 ° 55 ′ S 29 ° 10 ′ E ﻿ / ﻿ 0.917 ° S 29.167 ° E ﻿ / - 0.917 ; 29.167 Coordinates : 0 ° 55 ′ S 29 ° 10 ′ E ﻿ / ﻿ 0.917 ° S 29.167 ° E ﻿ / - 0.917 ; 29.167 Area 7,800 km ( 3,000 sq mi ) Established 1925 Governing body Institut Congolais pour la Conservation de la Nature UNESCO World Heritage Site Criteria Natural : ( vii ) , ( viii ) , ( x ) Reference 63 Inscription 1979 ( 3rd Session ) Endangered 1994 -- ( edit on Wikidata )
Bias of an estimator
ExpectedLoss = E ⁡ ( ( c n S 2 − σ 2 ) 2 ) = E ⁡ ( σ 4 ( c n S 2 σ 2 − 1 ) 2 ) ( \ displaystyle \ operatorname ( ExpectedLoss ) = \ operatorname ( E ) \ left ( \ left ( cnS ^ ( 2 ) - \ sigma ^ ( 2 ) \ right ) ^ ( 2 ) \ right ) = \ operatorname ( E ) \ left ( \ sigma ^ ( 4 ) \ left ( cn ( \ tfrac ( S ^ ( 2 ) ) ( \ sigma ^ ( 2 ) ) ) - 1 \ right ) ^ ( 2 ) \ right ) )
Great Barrier Reef
Great Barrier Reef UNESCO World Heritage site Satellite image of part of the Great Barrier Reef adjacent to the Queensland coastal areas of Airlie Beach and Mackay . Location Off the east coast of the Queensland mainland , Australia Criteria Natural : vii , viii , ix , x Reference 154 Inscription 1981 ( 5th Session ) Area 34,870,000 ha Website www.gbrmpa.gov.au Coordinates 18 ° 17 ′ 10 '' S 147 ° 42 ′ 00 '' E ﻿ / ﻿ 18.28611 ° S 147.70000 ° E ﻿ / - 18.28611 ; 147.70000 Coordinates : 18 ° 17 ′ 10 '' S 147 ° 42 ′ 00 '' E ﻿ / ﻿ 18.28611 ° S 147.70000 ° E ﻿ / - 18.28611 ; 147.70000 Center of the Great Barrier Reef Great Barrier Reef ( Australia ) Show map of Queensland Show map of Australia Show all
Uluru
Uluru ( Uluṟu ) Ayers Rock August 2007 aerial view of Uluru Country Australia State Northern Territory Elevation 863 m ( 2,831 ft ) Prominence 348 m ( 1,142 ft ) Coordinates 25 ° 20 ′ 42 '' S 131 ° 02 ′ 10 '' E ﻿ / ﻿ 25.34500 ° S 131.03611 ° E ﻿ / - 25.34500 ; 131.03611 Coordinates : 25 ° 20 ′ 42 '' S 131 ° 02 ′ 10 '' E ﻿ / ﻿ 25.34500 ° S 131.03611 ° E ﻿ / - 25.34500 ; 131.03611 Geology arkose Orogeny Petermann UNESCO World Heritage Site Name Uluṟu - Kata Tjuṯa National Park Year 1987 ( # 11 ) Number 447 Criteria v , vi , vii , ix Location in Australia Uluru ( Australia ) Show map of Northern Territory Show map of Australia Show all Wikimedia Commons : Uluru Website : www.environment.gov.au/
Alice Springs
Alice Springs Northern Territory View of Alice Springs from Anzac Hill Alice Springs Location in Northern Territory Coordinates 23 ° 42 ′ 0 '' S 133 ° 52 ′ 12 '' E ﻿ / ﻿ 23.70000 ° S 133.87000 ° E ﻿ / - 23.70000 ; 133.87000 Coordinates : 23 ° 42 ′ 0 '' S 133 ° 52 ′ 12 '' E ﻿ / ﻿ 23.70000 ° S 133.87000 ° E ﻿ / - 23.70000 ; 133.87000 Population 23,726 ( 2016 census ) Density 72.446 / km ( 187.63 / sq mi ) Established 1872 Postcode ( s ) 0870 - 0872 Elevation 545 m ( 1,788 ft ) Area 327.5 km ( 126.4 sq mi ) ( 2011 urban ) Time zone ACST ( UTC + 9 : 30 ) Location 1,499 km ( 931 mi ) from Darwin 1,532 km ( 952 mi ) from Adelaide LGA ( s ) Alice Springs Town Council Territory electorate ( s ) Araluen Braitling Namatjira Stuart Federal Division ( s ) Lingiari Mean max temp Mean min temp Annual rainfall 28.8 ° C 13.2 ° C 282.8 mm
Bias of an estimator
E p ( S 2 ∣ σ 2 ) ⁡ ( σ 4 ( c n S 2 σ 2 − 1 ) 2 ) = σ 4 E p ( S 2 ∣ σ 2 ) ⁡ ( ( c n S 2 σ 2 − 1 ) 2 ) ( \ displaystyle \ operatorname ( E ) _ ( p ( S ^ ( 2 ) \ mid \ sigma ^ ( 2 ) ) ) \ left ( \ sigma ^ ( 4 ) \ left ( cn ( \ tfrac ( S ^ ( 2 ) ) ( \ sigma ^ ( 2 ) ) ) - 1 \ right ) ^ ( 2 ) \ right ) = \ sigma ^ ( 4 ) \ operatorname ( E ) _ ( p ( S ^ ( 2 ) \ mid \ sigma ^ ( 2 ) ) ) \ left ( \ left ( cn ( \ tfrac ( S ^ ( 2 ) ) ( \ sigma ^ ( 2 ) ) ) - 1 \ right ) ^ ( 2 ) \ right ) )
Bias of an estimator
E p ( σ 2 ∣ S 2 ) ⁡ ( σ 4 ( c n S 2 σ 2 − 1 ) 2 ) ≠ σ 4 E p ( σ 2 ∣ S 2 ) ⁡ ( ( c n S 2 σ 2 − 1 ) 2 ) ( \ displaystyle \ operatorname ( E ) _ ( p ( \ sigma ^ ( 2 ) \ mid S ^ ( 2 ) ) ) \ left ( \ sigma ^ ( 4 ) \ left ( cn ( \ tfrac ( S ^ ( 2 ) ) ( \ sigma ^ ( 2 ) ) ) - 1 \ right ) ^ ( 2 ) \ right ) \ neq \ sigma ^ ( 4 ) \ operatorname ( E ) _ ( p ( \ sigma ^ ( 2 ) \ mid S ^ ( 2 ) ) ) \ left ( \ left ( cn ( \ tfrac ( S ^ ( 2 ) ) ( \ sigma ^ ( 2 ) ) ) - 1 \ right ) ^ ( 2 ) \ right ) )
Internal energy
U ( S , V , n ) = c o n s t ⋅ e S c n V − R c n R + c c , ( \ displaystyle U ( S , V , n ) = const \ cdot e ^ ( \ frac ( S ) ( cn ) ) V ^ ( \ frac ( - R ) ( c ) ) n ^ ( \ frac ( R + c ) ( c ) ) , )
Yoido Full Gospel Church
Yoido Full Gospel Church 여의도 순복음 교회 37 ° 31 ′ 52 '' N 126 ° 55 ′ 24 '' E ﻿ / ﻿ 37.5310 ° N 126.9232 ° E ﻿ / 37.5310 ; 126.9232 Coordinates : 37 ° 31 ′ 52 '' N 126 ° 55 ′ 24 '' E ﻿ / ﻿ 37.5310 ° N 126.9232 ° E ﻿ / 37.5310 ; 126.9232 Location Yoido Island , Seoul , South Korea Country South Korea Denomination Assemblies of God Churchmanship Full Gospel / Pentecostal Membership 480,000 ( 2015 ) Weekly attendance 200,000 ( Seoul only ) Website Official website History Former name ( s ) Full Gospel Central Church ( 1973 -- 1990 ) Status Megachurch Founded 1973 Founder ( s ) Rev. Dr. David Yonggi Cho Architecture Functional status Active Style Modern Specifications Capacity 26,000 + Clergy Senior pastor ( s ) Young Hoon Lee , in 2008 Pastor ( s ) 526
Unbiased estimation of standard deviation
E ( s ) ≈ σ γ 1 ⇒ σ ^ ≈ s γ 1 ( \ displaystyle ( \ rm ( E ) ) ( s ) \ approx \ sigma ( \ sqrt ( \ gamma _ ( 1 ) ) ) \ Rightarrow ( \ hat ( \ sigma ) ) \ approx ( \ frac ( s ) ( \ sqrt ( \ gamma _ ( 1 ) ) ) ) )
Capital asset pricing model
E ( R i ) = R f + β ( R P m ) + R P s + R P u ( \ displaystyle E ( R_ ( i ) ) = R_ ( f ) + \ beta ( RP_ ( m ) ) + RP_ ( s ) + RP_ ( u ) )
Vredefort crater
Vredefort crater UNESCO World Heritage Site Location Free State , South Africa Coordinates 27 ° 00 ′ S 27 ° 30 ′ E ﻿ / ﻿ 27 ° S 27.5 ° E ﻿ / - 27 ; 27.5 Criteria Natural : ( viii ) Reference 1162 Inscription 2005 ( 29th Session ) Location of Vredefort crater ( edit on Wikidata )
Nuclear fusion
σ ( ε ) ≈ S ( ε ) ε e − ε G / ε ( \ displaystyle \ sigma ( \ epsilon ) \ approx ( \ frac ( S ( \ epsilon ) ) ( \ epsilon ) ) e ^ ( - ( \ sqrt ( \ epsilon _ ( G ) / \ epsilon ) ) ) )
Unbiased estimation of standard deviation
E ( s ) = σ θ γ 1 ⇒ σ ^ = s θ γ 1 ( \ displaystyle ( \ rm ( E ) ) ( s ) = \ sigma \ theta ( \ sqrt ( \ gamma _ ( 1 ) ) ) \ Rightarrow ( \ hat ( \ sigma ) ) = ( \ frac ( s ) ( \ theta ( \ sqrt ( \ gamma _ ( 1 ) ) ) ) ) )
History of Antarctica
In 1930 , the United Kingdom claimed Enderby Land . In 1933 , a British imperial order transferred territory south of 60 ° S and between meridians 160 ° E and 45 ° E to Australia as the Australian Antarctic Territory .
Moment-generating function
B ( f X ) ( s ) = ∫ − ∞ ∞ e − s x f X ( x ) d x , ( \ displaystyle ( \ mathcal ( B ) ) \ ( f_ ( X ) \ ) ( s ) = \ int _ ( - \ infty ) ^ ( \ infty ) e ^ ( - sx ) f_ ( X ) ( x ) \ , dx , )
Blue Lake (South Australia)
Blue Lake Panorama of the Blue Lake in late - December . Blue Lake Location in South Australia Location Mount Gambier , South Australia Coordinates 37 ° 50 ′ 48 '' S 140 ° 46 ′ 41 '' E ﻿ / ﻿ 37.84667 ° S 140.77806 ° E ﻿ / - 37.84667 ; 140.77806 Coordinates : 37 ° 50 ′ 48 '' S 140 ° 46 ′ 41 '' E ﻿ / ﻿ 37.84667 ° S 140.77806 ° E ﻿ / - 37.84667 ; 140.77806 Type Monomictic crater lake Basin countries Australia Max. length 1,087 m ( 3,566 ft ) Max . width 657 m ( 2,156 ft ) Surface area 70 ha ( 170 acres ) Average depth 72 m ( 236 ft ) Max . depth 77 m ( 253 ft ) Water volume none Residence time 3.45 years Shore length None Surface elevation approx. 20 m ( 66 ft ) Islands None Settlements None Shore length is not a well - defined measure .
Eureka Tower
Eureka Tower Eureka Tower , Southbank , Melbourne , as viewed from Rialto Towers Record height Tallest in Melbourne since 2006 Preceded by 120 Collins Street General information Status Complete Type Residential Apartment Building , Observation Tower Architectural style Modern Location Melbourne , Victoria , Australia Coordinates 37 ° 49 ′ 18 '' S 144 ° 57 ′ 52 '' E ﻿ / ﻿ 37.82167 ° S 144.96444 ° E ﻿ / - 37.82167 ; 144.96444 Coordinates : 37 ° 49 ′ 18 '' S 144 ° 57 ′ 52 '' E ﻿ / ﻿ 37.82167 ° S 144.96444 ° E ﻿ / - 37.82167 ; 144.96444 Construction started August 2002 Completed October 2006 Cost U $415 m in 2006 Height Architectural 297.3 metres ( 975 ft ) Top floor 292.3 metres ( 959 ft ) Observatory 282 metres ( 925 ft ) Technical details Floor count 91 plus 1 underground Floor area 123,000 m ( 1,323,961 sq ft ) Design and construction Architect Fender Katsalidis Developer Eureka Tower Pty Ltd Main contractor Grocon References
Astronomical spectroscopy
Calculation of redshift , z ( \ displaystyle z ) Based on wavelength Based on frequency z = λ o b s v − λ e m i t λ e m i t ( \ displaystyle z = ( \ frac ( \ lambda _ ( \ mathrm ( obsv ) ) - \ lambda _ ( \ mathrm ( emit ) ) ) ( \ lambda _ ( \ mathrm ( emit ) ) ) ) ) z = f e m i t − f o b s v f o b s v ( \ displaystyle z = ( \ frac ( f_ ( \ mathrm ( emit ) ) - f_ ( \ mathrm ( obsv ) ) ) ( f_ ( \ mathrm ( obsv ) ) ) ) ) 1 + z = λ o b s v λ e m i t ( \ displaystyle 1 + z = ( \ frac ( \ lambda _ ( \ mathrm ( obsv ) ) ) ( \ lambda _ ( \ mathrm ( emit ) ) ) ) ) 1 + z = f e m i t f o b s v ( \ displaystyle 1 + z = ( \ frac ( f_ ( \ mathrm ( emit ) ) ) ( f_ ( \ mathrm ( obsv ) ) ) ) )
Tropical cyclone
v p = T s T o C k C d ( C A P E s ∗ − C A P E b ) m ( \ displaystyle v_ ( p ) = ( \ sqrt ( ( \ frac ( T_ ( s ) ) ( T_ ( o ) ) ) ( \ frac ( C_ ( k ) ) ( C_ ( d ) ) ) ( CAPE_ ( s ) ^ ( * ) - CAPE_ ( b ) ) _ ( m ) ) ) )
Unbiased estimation of standard deviation
V a r ( x  ̄ ) = E ( s 2 γ 1 ( γ 2 n ) ) = E ( s 2 n ( n − 1 n γ 2 − 1 ) ) ( \ displaystyle ( \ rm ( Var ) ) \ left ( ( \ overline ( x ) ) \ right ) = ( \ rm ( E ) ) \ left ( ( \ frac ( s ^ ( 2 ) ) ( \ gamma _ ( 1 ) ) ) \ left ( ( \ frac ( \ gamma _ ( 2 ) ) ( n ) ) \ right ) \ right ) = ( \ rm ( E ) ) \ left ( ( \ frac ( s ^ ( 2 ) ) ( n ) ) \ left \ ( ( \ frac ( n - 1 ) ( ( \ frac ( n ) ( \ gamma _ ( 2 ) ) ) - 1 ) ) \ right \ ) \ right ) )
Seine
Seine ( La Seine ) The Seine in Paris Country France Tributaries - left Yonne , Loing , Eure , Risle - right Ource , Aube , Marne , Oise , Epte Mouth - elevation 0 m ( 0 ft ) - coordinates 49 ° 26 ′ 02 '' N 0 ° 12 ′ 24 '' E ﻿ / ﻿ 49.43389 ° N 0.20667 ° E ﻿ / 49.43389 ; 0.20667 Coordinates : 49 ° 26 ′ 02 '' N 0 ° 12 ′ 24 '' E ﻿ / ﻿ 49.43389 ° N 0.20667 ° E ﻿ / 49.43389 ; 0.20667 Length 777 km ( 483 mi ) Basin 79,000 km ( 30,502 sq mi ) Discharge for Le Havre - average 560 m / s ( 19,776 cu ft / s ) Topographic map of the Seine basin
Godavari River
Godavari Dakshina Ganga River Dummugudem weir across the Godavari in Khammam District Country India States Maharashtra , Telangana , Chhattisgarh , Andhra Pradesh , Puducherry ( Yanam ) Region South India , Western India Tributaries - left Banganga , Kadva , Shivana , Purna , Kadam , Pranahita , Indravati , Taliperu , Sabari - right Nasardi , Darna , Pravara , Sindphana , Manjira , Manair , Kinnerasani Source - location Brahmagiri Mountain , Tryambakeshwar , Nashik , Maharashtra , India - elevation 920 m ( 3,018 ft ) - coordinates 19 ° 55 ′ 48 '' N 73 ° 31 ′ 39 '' E ﻿ / ﻿ 19.93000 ° N 73.52750 ° E ﻿ / 19.93000 ; 73.52750 Mouth - location Antarvedi into Bay of Bengal , East Godavari , Andhra Pradesh , India - elevation 0 m ( 0 ft ) - coordinates 17 ° 0 ′ N 81 ° 48 ′ E ﻿ / ﻿ 17.000 ° N 81.800 ° E ﻿ / 17.000 ; 81.800 Coordinates : 17 ° 0 ′ N 81 ° 48 ′ E ﻿ / ﻿ 17.000 ° N 81.800 ° E ﻿ / 17.000 ; 81.800 Length 1,465 km ( 910 mi ) Basin 312,812 km ( 120,777 sq mi ) Discharge - average 3,505 m / s ( 123,778 cu ft / s ) Discharge elsewhere ( average ) - Polavaram ( 1901 -- 1979 ) 3,061.18 m / s ( 108,105 cu ft / s ) Path of the Godavari through the South Indian Peninsula
Southern Ocean
The Southern Ocean 's southernmost port operates at McMurdo Station at 77 ° 50 ′ S 166 ° 40 ′ E ﻿ / ﻿ 77.833 ° S 166.667 ° E ﻿ / - 77.833 ; 166.667 . Winter Quarters Bay forms a small harbor , on the southern tip of Ross Island where a floating ice pier makes port operations possible in summer . Operation Deep Freeze personnel constructed the first ice pier at McMurdo in 1973 .
Narmada River
Narmada Reva River Narmada river bank near Jabalpur Country India States Madhya Pradesh , Maharashtra , Gujarat Tributaries - left Burhner River , Banjar River , Sher River , Shakkar River , Dudhi River , Tawa River , Ganjal River , Chhota Tawa River , Kaveri River , Kundi River , Goi River - right Hiran River , Tendoni River , Choral River , Kolar River , Man River , Uri River , Hatni River , Orsang River City Dindori Source Narmada Kund - location Amarkantak Plateau , Anuppur district , Central India , Madhya Pradesh - elevation 1,048 m ( 3,438 ft ) - coordinates 22 ° 40 ′ 0 '' N 81 ° 45 ′ 0 '' E ﻿ / ﻿ 22.66667 ° N 81.75000 ° E ﻿ / 22.66667 ; 81.75000 Mouth Gulf of Khambhat ( Arabian Sea ) - location Bharuch District , Gujarat - elevation 0 m ( 0 ft ) - coordinates 21 ° 39 ′ 3.77 '' N 72 ° 48 ′ 42.8 '' E ﻿ / ﻿ 21.6510472 ° N 72.811889 ° E ﻿ / 21.6510472 ; 72.811889 Coordinates : 21 ° 39 ′ 3.77 '' N 72 ° 48 ′ 42.8 '' E ﻿ / ﻿ 21.6510472 ° N 72.811889 ° E ﻿ / 21.6510472 ; 72.811889 Length 1,312 km ( 815 mi ) approx . Discharge - average 1,447 m / s ( 51,100 cu ft / s ) Discharge elsewhere ( average ) - Garudeshwar 1,216 m / s ( 42,943 cu ft / s ) Maps showing the course of the Narmada , selected tributaries , and the approximate extent of its drainage area
Nairobi
Nairobi City Clockwise from top : Central business district , Nairobi National Park , Parliament of Kenya , Nairobi City Hall and the Kenyatta International Conference Centre . Flag Coat of arms Nickname ( s ) : `` Green City in the Sun '' , `` Nai '' , `` Nairobbery '' , `` Silicon Savannah '' `` Nairobae '' Nairobi Nairobi Show map of Kenya Show map of Africa Show all Location in Kenya & Africa Coordinates : 1 ° 17 ′ S 36 ° 49 ′ E ﻿ / ﻿ 1.283 ° S 36.817 ° E ﻿ / - 1.283 ; 36.817 Coordinates : 1 ° 17 ′ S 36 ° 49 ′ E ﻿ / ﻿ 1.283 ° S 36.817 ° E ﻿ / - 1.283 ; 36.817 Country Kenya County Nairobi County Founded 1899 Constituencies List ( show ) Dagoretti North Dagoretti South Westlands Langata Kibra Roysambu Kasarani Ruaraka Embakasi South Embakasi North Embakasi Central Embakasi East Embakasi West Makadara Kamukunji Starehe Mathare Government Body Nairobi City County Legislature County Assembly Governor Mike Sonko Deputy Governor Polycarp Igathe Area City 696 km ( 269 sq mi ) Elevation 1,661 m ( 5,450 ft ) Population ( 2009 ) City 3,138,369 Density 4,850 / km ( 12,600 / sq mi ) Metro 6,547,547 Demonym ( s ) Nairobian Time zone EAT / AST / MSK ( UTC + 3 ) Area code ( s ) 020 Website nairobi.go.ke