Eix is a commune in the Meuse department in Grand Est in north-eastern France.

Location of Eix
Eix is located in France
Eix is located in Grand Est
Coordinates: 49°10′49″N 5°29′54″E / 49.1803°N 5.4983°ECoordinates: 49°10′49″N 5°29′54″E / 49.1803°N 5.4983°E
RegionGrand Est
IntercommunalityCommunauté de communes du pays d'Étain
 • Mayor (2008–2014) Nicole Vare
12.06 km2 (4.66 sq mi)
 • Density21/km2 (55/sq mi)
Time zoneUTC+01:00 (CET)
 • Summer (DST)UTC+02:00 (CEST)
INSEE/Postal code
55171 /55400
Elevation228–366 m (748–1,201 ft)
(avg. 242 m or 794 ft)
1 French Land Register data, which excludes lakes, ponds, glaciers > 1 km2 (0.386 sq mi or 247 acres) and river estuaries.

See also

  1. ^ "Populations légales 2016". INSEE. Retrieved 25 April 2019.

Abaucourt-Hautecourt is a French commune in the Meuse department in the Grand Est region of north-eastern France.

The inhabitants of the commune are known as Abaucourtois or Abaucourtoises.

Autovia C-12

The C-12 is a highway in Catalonia, Spain, that connects Lleida with Tortosa and the Ebre river delta. For much of its length it runs along the lower Ebre valley. North of Lleida the road follows the Noguera valley before joining the C-13.

Autovia C-12 cuts across the westernmost end of the Cardó Massif, above the final Ebro Gorges. This highway is also known as the Eix de l'Ebre (Ebro Axis).

Autovia C-13

The C-13, also known as Eix del Pallars (Pallars Axis), is a highway in Catalonia, Spain, that connects Lleida with Balaguer and the eastern Noguera Pallaresa river valley. North of Tremp. The road joins the N-260

Autovia C-35

The C-35 is a highway in Catalonia, Spain. It connects the Costa Brava with the Autopista AP-7 to Barcelona.

The road starts at the junction with the Autovia C-65 and then heads west to the south of Llagostera to Vidreres. This section is being upgraded to Autovia standard. After junctions with the N-II and AP-7 (junction 9) the road follows the river valley below the Montseny Range passing through Maçanet de la Selva, Hostalric, Breda, Sant Celoni before ending at junction 12 of the AP-7 and the Autovia C-60. The C-35 will be part of the Eix Maçanet-Platja d'Aro, with Autovia C-65 and Autovia C-31.

Autovía A-26

Autovía A-26 (Spanish: Autovía del Eje Pirenaico, Catalan: Autovia del Eix Pirenenc) is a long-term project of the Spanish government to upgrade the N-260 national road, also known as Eje Pirenaico (in Spanish) or Eix Pirenenc (in Catalan).

When finished, it will be the northernmost east-west highway in Spain and will connect the French border (near Portbou) with Sabiñánigo (northern Aragón), following the southern foothills of the eastern Pyrenees and passing over relevant towns such as Figueres, Olot, Ripoll, Puigcerdà or La Seu d'Urgell.

At the moment, there is only one section constructed between Besalú and Olot, both municipalities of the comarca of La Garrotxa (Catalonia, Spain), but a second section between Figueres and Besalú is about to be started shortly. The construction of a third section between Figueres and Llançà has been recently approved by the Spanish government.

C-16 highway (Spain)

C-16 or Eix del Llobregat is a primary highway in Catalonia, Spain. It is also part of the European route E09, from Orléans (France) to Barcelona (Catalonia, Spain).

According to the 2004's new codification for primary highways managed by the Generalitat de Catalunya, the first number (C-16) indicates that is a south-northbound highway, whereas the second number (C-16) indicates that is the sixth westernmost.

The itinerary starts at Barcelona's Via Augusta and heads northbound crossing the Serra de Collserola's mountain range, through the Vallvidrera's tunnel, and then the comarques of Vallès Occidental, Bages and Berguedà. Most of the path follows the valley of the Llobregat river, hence the name of Eix del Llobregat. Finally it crosses another mountain range, Serra del Cadí, through the Cadí's tunnel, and enters in the comarca of Cerdanya. The path finishes at the connection with road N-260 at Puigcerdà, very close to the french border.

This highway, along with C-17, is a main South-North communication in Catalonia, since it connects Barcelona with several significant inner cities and towns such as Terrassa, Manresa, Berga or Puigcerdà. It is also the straightest and quickest way from Cerdanya comarca and from Andorra to the centre, the South and the East of Catalonia, including its major city and capital, Barcelona.

C-17 highway (Spain)

C-17 or Eix del Congost is a primary highway in Catalonia, Spain. According to the 2004's new coding for primary highways managed by the Generalitat de Catalunya, the first number (C-17) indicates that is a south-northbound highway, whereas the second number (C-17) indicates that is the seventh westernmost.The highway starts at the city of Barcelona and heads mainly northbound towards the towns of Mollet del Vallès, Granollers, Vic and Ripoll. Its path follows the valleys of Congost and upper Ter rivers.

From Mollet del Vallès to Vic, the road is already upgraded to freeway. The Vic-Ripoll section is currently in process of being upgraded.

C-31 highway (Spain)

C-31 or Eix Costaner is a Catalonia's primary highway. It is the result of merging several sections of previously existing roads, autopistas and autovías after the 2004's renaming of primary highways managed by the Generalitat de Catalunya. According to this new denomination, the first number (C-31) indicates that is a southwest-northeast highway (parallel to the Mediterranean Sea coastline), while the second number (C-31) indicates that is the closest to the Mediterranean Sea.The whole path for this highway is split in several points and has some gaps in its path, i.e. has "missed sections". This is due to either the sections are not constructed yet or either they are managed by the Spanish government and hence not renamed yet.

All sections suffer from heavy traffic and are often jammed, specially on working days' mornings and on summer months.

Catalan Transversal Range

The Catalan Transversal Range (Serralada Transversal) is a system of minor mountain ranges at the eastern end of the Pre-Pyrenees, between the Osona and Garrotxa comarques. The existence of the Catalan Transversal Range has made communications in the northern areas of Catalonia difficult in the past, especially between Northeastern Catalonia (Catalan Coastal Depression, with cities like Girona, Figueres and La Jonquera) and Western Catalonia (Catalan Mediterranean System; Lleida, Cervera and further west to Aragón), a problem that has been partly solved with the development of the Eix Transversal.

Eix Transversal

C-25 or Eix Transversal (English: Transversal Arterial Road; lit. Transversal Axis) is a 280 km long primary highway in Catalonia, Spain.

It crosses the Catalan Transversal Range mountainous region, communicating the northern end of the Catalan Coastal Depression with the Catalan Central Depression.According to the current coding for highways managed by the Generalitat de Catalunya, the first number C-25 indicates that is mainly a west-eastbound highway, and the second number C-25 indicates that is the fifth southernmost. The road begins at the intersection with Autovía A-2, near Cervera (comarca of Segarra), and finishes at Cassà de la Selva (comarca of Gironès), with a total length of 141 km.

Integration using Euler's formula

In integral calculus, complex numbers and Euler's formula may be used to evaluate integrals involving trigonometric functions. Using Euler's formula, any trigonometric function may be written in terms of eix and e−ix, and then integrated. This technique is often simpler and faster than using trigonometric identities or integration by parts, and is sufficiently powerful to integrate any rational expression involving trigonometric functions.

List of primary highways in Catalonia

The network of primary highways (freeways or not) in Catalonia, Spain, can be divided into two groups: highways managed by the Spanish Government and highways managed by the Generalitat de Catalunya (Catalonia's Government).

The first group are itineraries included in the Red de Interés General del Estado (Spanish highways network), which generally either serve as long-distance connectors beyond the Catalonia's field or either have a special strategical importance. They are mainly autopistas (Catalan: autopistes) or autovías (Catalan: autovies) but some regular roads can also be found (most of them are in process or in prospect of being upgraded to autovía).

The second group are itineraries mainly used for Catalonia's internal transport. However, some of these highways (such as C-31, C-32 or C-58) are main communication paths and suffer from heavy traffic.

Orbital Railway Line

The Barcelona orbital line (Catalan: línia orbital) is a railway project forming part of both the Pla d'infraestructures de Catalunya (PITC), a long-term development plan due for completion in 2026, and the Pla de transport de viatgers de Catalunya (PTVC), a short-term plan due for completion in 2012. In following perimeter routes the orbital line and another railway project, the Eix Transversal Ferroviari de Catalunya, are the first railway schemes to depart from the radial system developed so far in the Barcelona area.Also known as the Quart cinturó ferroviari, the orbital line will connect Rodalies Barcelona services between Vilanova i la Geltrú and Mataró via a 119 kilometres (74 mi) line passing through Granollers, Sabadell, Terrassa, Martorell and Vilafranca del Penedès, but avoiding the actual city of Barcelona. Some sections will make use of existing track belonging to Administrador de Infraestructuras Ferroviarias (Adif) and operated by Renfe Operadora, whilst 68 km of track - of which 46 kilometres (29 mi) in tunnels - and 23 new stations will be constructed.

Route Départementale 914

The Route Départementale 914 or RD 914 is the scenic route by the Mediterranean sea, between Perpignan and Cerbère, at the Spanish border.

Formerly named Route Nationale 114, or RN 114 before being handed to the département of Pyrénées-Orientales, on December 9 2005.

It becomes the Spanish National Road N-260 or Eix Pirenenc (in Catalan) as it crosses the border toward Portbou.

The N-260 is about to be upgraded into a highway, the "Autovía del Eje Pirenaico" (in Spanish) or "Autovia del Eix Pirenenc" (in Catalan), the Autovía A-26.

See the Route Départementale 914 on GoogleMaps

Trigonometric polynomial

In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx) with n taking on the values of one or more natural numbers. The coefficients may be taken as real numbers, for real-valued functions. For complex coefficients, there is no difference between such a function and a finite Fourier series.

Trigonometric polynomials are widely used, for example in trigonometric interpolation applied to the interpolation of periodic functions. They are used also in the discrete Fourier transform.

The term trigonometric polynomial for the real-valued case can be seen as using the analogy: the functions sin(nx) and cos(nx) are similar to the monomial basis for polynomials. In the complex case the trigonometric polynomials are spanned by the positive and negative powers of eix.

Vauxhall Wyvern

The Vauxhall Wyvern is a medium-sized family car introduced by Vauxhall in 1948 as a successor to the Vauxhall 12. The name comes from the mythical beast the wyvern, and may be due to a misidentification of the heraldic griffin on the Vauxhall badge.

Vilanova de Sau

Vilanova de Sau is a town in the comarca of the Osona in Catalonia, eastern Spain. It is situated in the valley called Sau. The Ter river runs through the valley, now damed into Pantà de Sau, a reservoir which is in the municipal territory of Vilanova de Sau, and is a tourist attraction and base for water sports and hiking. The reservoir houses the submerged village of church of Sant Romà.

The municipality is linked to Vic and the C-25 (Eix transversal, Girona-Lleida) by the N-141 road.

Communes of the Meuse department

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