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Bija e tyre zgjohet me të nxira nëpër trup, ajo ç’farë kishte ishte…
Bija e tyre zgjohet me të nxira nëpër trup, ajo ç’farë kishte ishte…
Published: 2017/11/21
Channel: Thashethemet e Vipave Shqiptare - Albanian Gossip
Zgjohet me të nxira nëpër trup, ajo ç’farë kishte ishte…
Zgjohet me të nxira nëpër trup, ajo ç’farë kishte ishte…
Published: 2017/11/20
Channel: Kuriozitete Te Ndryshme
Stm dosq 70 vs nasional34 (Ultah neper 30 september)
Stm dosq 70 vs nasional34 (Ultah neper 30 september)
Published: 2017/10/02
Channel: Wapsz akabane
N.E.P.E.R. - LA PISTOLA
N.E.P.E.R. - LA PISTOLA
Published: 2013/08/01
Channel: Martin CP
Tawuran pelajar NEPER 01 vs XTm nusantara 14 warga nya ikutan
Tawuran pelajar NEPER 01 vs XTm nusantara 14 warga nya ikutan
Published: 2017/06/05
Channel: Yuda Prastama
N.E.P.E.R. - TODOS JUNTOS
N.E.P.E.R. - TODOS JUNTOS
Published: 2013/08/01
Channel: Martin CP
Neper - América libertad
Neper - América libertad
Published: 2009/04/05
Channel: muspeg20
Leño seco (trote) - NEPER
Leño seco (trote) - NEPER
Published: 2014/09/09
Channel: KAMAKEN6
Limites - Número de Neper - Matemática 12.º Ano
Limites - Número de Neper - Matemática 12.º Ano
Published: 2012/02/23
Channel: Explicamat
smk negeri 1 cirebon / neper 01allbase
smk negeri 1 cirebon / neper 01allbase
Published: 2014/09/28
Channel: Stm Perjuangan
TRAGEDI STM 34Nasper vs 14NOEZ cirebon keras!!
TRAGEDI STM 34Nasper vs 14NOEZ cirebon keras!!
Published: 2016/11/09
Channel: Yudistira DwiP
We Are Struggle Famiglia SMK NEGERI 1 CIREBON ( NEPER 01 )
We Are Struggle Famiglia SMK NEGERI 1 CIREBON ( NEPER 01 )
Published: 2016/11/29
Channel: J Putra
Getz - Neper Bote (Official Video) 2017
Getz - Neper Bote (Official Video) 2017
Published: 2017/11/06
Channel: OfficialGETZ
Stm Nusantara Dapet Mangsa STm Neper
Stm Nusantara Dapet Mangsa STm Neper
Published: 2016/10/06
Channel: Sabbiq Bonek
"STM Neper Ale" Struggle Famiglia X Smkn 1 Cirebon
"STM Neper Ale" Struggle Famiglia X Smkn 1 Cirebon
Published: 2017/08/12
Channel: Oman Abdurahman
Express – Shqiptaret neper bote
Express – Shqiptaret neper bote
Published: 2017/11/03
Channel: Kohavision
Portokalli, 5 Nentor 2017 - Nasi dhe Fotinia (Shetitja neper Tirane)
Portokalli, 5 Nentor 2017 - Nasi dhe Fotinia (Shetitja neper Tirane)
Published: 2017/11/06
Channel: Top Channel Albania
Me Xhip te Fort neper Borë !! - Forza Horizon 3 SHQIP | SHQIPGaming
Me Xhip te Fort neper Borë !! - Forza Horizon 3 SHQIP | SHQIPGaming
Published: 2017/02/25
Channel: SHQIPGaming
Debati në Channel One,  "Diplomacia ekonomike e Shqipërisë nëpër botë"
Debati në Channel One, "Diplomacia ekonomike e Shqipërisë nëpër botë"
Published: 2017/11/21
Channel: ChannelOneAl
CIGGA - NEPER RRUG
CIGGA - NEPER RRUG
Published: 2017/08/29
Channel: Euron Selimi
GTA 5 SHQIP - Ndjekja e Femnes neper Qytet !! - SHQIPGaming
GTA 5 SHQIP - Ndjekja e Femnes neper Qytet !! - SHQIPGaming
Published: 2017/02/18
Channel: SHQIPGaming
Shqipatret neper bote 17 11  2017
Shqipatret neper bote 17 11 2017
Published: 2017/11/18
Channel: Kohavision
Zone e lire - Panairi / "Neper male me kulture e humor" nga Ibrahim Hackaj! (17 nentor 2017)
Zone e lire - Panairi / "Neper male me kulture e humor" nga Ibrahim Hackaj! (17 nentor 2017)
Published: 2017/11/18
Channel: RTV KLAN
Portokalli, 26 Maj 2013 - Drejtori, Django dhe pronari (Pica neper shkolla)
Portokalli, 26 Maj 2013 - Drejtori, Django dhe pronari (Pica neper shkolla)
Published: 2016/09/01
Channel: TCH Portokalli - Arkiva
Getz - Neper Bote (coming soon)
Getz - Neper Bote (coming soon)
Published: 2017/10/13
Channel: OfficialGETZ
Neper Autobahna me Kamion - American Truck Simulator - SHQIPGaming
Neper Autobahna me Kamion - American Truck Simulator - SHQIPGaming
Published: 2016/02/25
Channel: SHQIPGaming
Spintires SHQIP - Me kamiona neper Lloq/Baltë !! - SHQIPGaming
Spintires SHQIP - Me kamiona neper Lloq/Baltë !! - SHQIPGaming
Published: 2016/06/27
Channel: SHQIPGaming
Tawuran?!! Dosq vs neper+nasper
Tawuran?!! Dosq vs neper+nasper
Published: 2017/10/01
Channel: No Game No Life
GTA 5 Shqip - Me Autobusa Neper Bor tu Hyp Ne Bjeshk Video Special per Vitin e Ri 4K60FPS - Shqip
GTA 5 Shqip - Me Autobusa Neper Bor tu Hyp Ne Bjeshk Video Special per Vitin e Ri 4K60FPS - Shqip
Published: 2016/12/31
Channel: KosovaGamingTV
HAREM SHQIPTAR
HAREM SHQIPTAR''LIVE '' FATOS YZEIRI'' NEPER SHTYLLAT E TELEFONIT
Published: 2014/02/10
Channel: Harem Shqiptar
Spintires SHQIP - Me Xhipa neper Rrugen e Zorshme !! - SHQIPGaming
Spintires SHQIP - Me Xhipa neper Rrugen e Zorshme !! - SHQIPGaming
Published: 2016/06/29
Channel: SHQIPGaming
Neper kafez zog more bylbyl
Neper kafez zog more bylbyl
Published: 2016/09/06
Channel: Xhemail Kelmendi tvxhema
Express - Jeta : Shqiptaret neper bote
Express - Jeta : Shqiptaret neper bote
Published: 2017/10/20
Channel: Kohavision
Qerim Sula - Këndojnë pushkët nëpër kulla
Qerim Sula - Këndojnë pushkët nëpër kulla
Published: 2011/06/20
Channel: Burim Proi
Shyqyri Alushi - Neper fusha ner kodrina
Shyqyri Alushi - Neper fusha ner kodrina
Published: 2009/11/20
Channel: Haxhi Muhaxheri
ALI KRASNIQI & BAJRAM BAJA 2017 = TREGIME QKA JU KA NDODH NEPER DASMA
ALI KRASNIQI & BAJRAM BAJA 2017 = TREGIME QKA JU KA NDODH NEPER DASMA
Published: 2017/10/30
Channel: ShqiponjaMusic1
Aula 31 Matemática Simples 11º Sucessões- Indução e Número de Neper
Aula 31 Matemática Simples 11º Sucessões- Indução e Número de Neper
Published: 2013/02/22
Channel: Filipe Santos
Grup Lab - Nëpër baça kur kalon - Sofra e Këngës Labe
Grup Lab - Nëpër baça kur kalon - Sofra e Këngës Labe
Published: 2016/08/10
Channel: Sofra e Këngës Labe
Duke kerkuar neper nate
Duke kerkuar neper nate
Published: 2013/10/11
Channel: Sked Sh
Flladi - Neper Ulqin
Flladi - Neper Ulqin
Published: 2017/07/07
Channel: Kohavision
Zambi - Neper rrugt e qytetit
Zambi - Neper rrugt e qytetit
Published: 2016/06/07
Channel: StudiORadicaLRecordS
QAMILI I VOGEL -  NEPER KAFES MORE BYLBYL.V 1969.
QAMILI I VOGEL - NEPER KAFES MORE BYLBYL.V 1969.
Published: 2014/04/20
Channel: Kujtim Matoshi
Motrat Mustafa - Neper telat e telefonit
Motrat Mustafa - Neper telat e telefonit
Published: 2016/12/03
Channel: MotratMustafaONAIR
Dashamir Xhamuca -  Neper Shtylla Telefoni
Dashamir Xhamuca - Neper Shtylla Telefoni
Published: 2014/09/04
Channel: MUZIKA TIRONSE
78 NUSE NGA SHQIPËRIA NËPËR FSHATRAT E KRATOVËS
78 NUSE NGA SHQIPËRIA NËPËR FSHATRAT E KRATOVËS
Published: 2017/01/02
Channel: TV21
Shyqyri Alushi - Neper fusha ner kodrina - Popullore Shkodrane
Shyqyri Alushi - Neper fusha ner kodrina - Popullore Shkodrane
Published: 2009/02/12
Channel: Ben Susaj
BAJRAMALI IDRIZI & DOREMI - NEPER SHI (Official Video)
BAJRAMALI IDRIZI & DOREMI - NEPER SHI (Official Video)
Published: 2016/12/16
Channel: JehonaMuzik
GAZETARET GJERMANE TUR NËPËR SHQIPERI
GAZETARET GJERMANE TUR NËPËR SHQIPERI
Published: 2016/06/13
Channel: NewsDesk Albanian Radio Television
Nëpër Durrës 2017
Nëpër Durrës 2017
Published: 2017/06/26
Channel: Biser Mehmeti
Festimet me arme neper dasma marrin haracin
Festimet me arme neper dasma marrin haracin
Published: 2015/07/29
Channel: Televizioni Globi Gostivar
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WIKIPEDIA ARTICLE

From Wikipedia, the free encyclopedia
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The neper (symbol: Np) is a logarithmic unit for ratios of measurements of physical field and power quantities, such as gain and loss of electronic signals. The unit's name is derived from the name of John Napier, the inventor of logarithms. As is the case for the decibel and bel, the neper is a unit defined in the international standard ISO 80000. It is not part of the International System of Units (SI), but is accepted for use alongside the SI.[1]

Definition[edit]

Like the decibel, the neper is a unit in a logarithmic scale. While the bel uses the decadic (base-10) logarithm to compute ratios, the neper uses the natural logarithm, based on Euler's number (e ≈ 2.71828). The value of a ratio in nepers is given by

where and are the values of interest (amplitudes), and ln is the natural logarithm. When the values are quadratic in the amplitude (e.g. power), they are first linearised by taking the square root before the logarithm is taken, or equivalently the result is halved.[citation needed]

In the ISQ, the neper is defined as 1 Np = 1.[2]

Units[edit]

The neper is defined in terms of ratios of field quantities (for example, voltage or current amplitudes in electrical circuits, or pressure in acoustics), whereas the decibel was originally defined in terms of power ratios. A power ratio 10 log r dB is equivalent to a field-quantity ratio 20 log r dB, since power is proportional to the square (Joule's laws) of the amplitude. Hence the neper and decibel are related via:

and

The decibel and the neper have a fixed ratio to each other. The (voltage) level ratio is

Like the decibel, the neper is a dimensionless unit. The International Telecommunication Union (ITU) recognizes both units.

Applications[edit]

The neper is a natural linear unit of relative difference, meaning in nepers (logarithmic units) relative differences add rather than multiply. This property is shared with logarithmic units in other bases, such as the bel.

Particular to the neper, however, is that the derived unit of centineper is asymptotically equal to percentage difference for very small differences – since the derivative of the natural log (at 1) is 1; this is not shared with other logarithmic units, which introduce a scaling factor due to the derivative not being unity. The centineper can thus be used as a linear replacement for percentage differences. The linear approximation for small percentage differences,

is widely used, particularly in finance—see for example the Fisher equation. However, it is only approximate, with error increasing for large percentage changes. Measured instead in centinepers, these linear approximations can be replaced with exact equalities, and applicable to any magnitude change, by defining the following centineper quantity for any change

See also[edit]

Notes and references[edit]

Further reading[edit]

  • Tuffentsammer, Karl (1956). "Das Dezilog, eine Brücke zwischen Logarithmen, Dezibel, Neper und Normzahlen" [The decilog, a bridge between logarithms, decibel, neper and preferred numbers]. VDI-Zeitschrift (in German). 98: 267–274. 
  • Paulin, Eugen (2007-09-01). Logarithmen, Normzahlen, Dezibel, Neper, Phon - natürlich verwandt! [Logarithms, preferred numbers, decibel, neper, phon - naturally related!] (PDF) (in German). Archived (PDF) from the original on 2016-12-18. Retrieved 2016-12-18. 

External links[edit]

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