There are two universities. More than 17,000 students go to the 'Université d'Angers' (a state university) and 12,000 go to the 'Université Catholique de l'Ouest' (a private catholic university). The 'École supérieure des sciences commerciales d'Angers' is one of the most prestigious business school in France.
Angers is twinned with:
Toulon
Toulon is a city in the south of France. It has about 170,000 people. Toulon is the prefecture of Var. Toulon is the third biggest city of the region Provence-Alpes-Côte d'Azur after Marseille and Nice. It is from the Italian border.
Grenoble
Grenoble is a French commune in the Alpine foothills. It is the prefecture of the Isère department in the Auvergne-Rhône-Alpes region.
It has an oceanic climate ("Cfb" in the Koeppen climate classification).
It is an important centre for scientific research in France.
A campus of the École nationale de l'aviation civile (French civil aviation academy) is in Grenoble. Grenoble School of Management is also in the city, as well as the Université Grenoble-Alpes.
Grenoble is twinned with:
Sequence
A sequence is a word meaning "a set of related events, movements or items that follow each other in a particular order".
It is used in mathematics and other disciplines. In ordinary use, it means a series of events, one following another. In maths, a sequence is made up of several things put together, one after the other. The order that the things are in matters. For example, both (Blue, Red, Yellow) and (Yellow, Blue, Red) are sequences, but they are not the same. Sequences made up of numbers are also called progressions.
There are two kinds of sequences. One kind is finite sequences, which have an end. For example, (1, 2, 3, 4, 5) is a finite sequence. The other kind is infinite sequences, which means that they keep going and never end. An example of a sequence that is infinite is the sequence of all even numbers, bigger than 0. This sequence never ends: it starts with 2, 4, 6, and so on, and one can always keep on naming even numbers.
If a sequence is finite, it is easy to say what it is: one can simply write down all the things in the sequence. This does not work for an infinite sequence. So another way to write down a sequence is to write a rule for finding the thing in any place one wants. The rule should tell us how to get the thing in the "n"-th place, where "n" can be any natural number. This means that a sequence is really a special kind of function with natural numbers as its domain. We sometimes write a sequence as formula_1, where formula_2 stands for the "n"-th term of the sequence.
For example, the rule could be that the thing in the "n"-th place is the number 2×"n" (2 times n). This tells us what the whole sequence is, even though it never ends. The first number is 2×1, which is 2. The second number is 2×2, or 4. If we want to know what the 100-th number is, we can simply calculate 2×100 and get 200. No matter which thing in the sequence we want, the rule can tell us what it is.
In an arithmetic progression, the difference between a term and the term before it is always a constant.
Example: formula_3
9 - 4 = 5, 14 - 9 = 5, 19 - 14 = 5, 24 - 19 = 5, and so on.
So if one takes the first term as "a" and the constant difference as "D", then the general formula for arithmetic sequence is formula_4, where "n" is the number of term.
In a geometric progression, the ratio between a term and the term before it is always constant.
Example: formula_5
6/3 = 2, 12/6 = 2, 24/12 = 2, 48/24 = 2, and so on.
So if one takes "a" to be the first term and "r" to be the ratio, then the general formula for geometric progression is formula_6, where "n" is the number of term.
In a harmonic progression, the difference between the reciprocal of a term and the reciprocal of the term before it is a constant.
Example: formula_7
formula_8, and so on.
A series is the sum of all the terms of a sequence.
The general formula for calculating the sum of arithmetic sequence is
formula_9
That of a geometric sequence is formula_10, if the sequence is infinite, andformula_11, if it is finite.
Here, "a" is the first term, "d" is the common difference in arithmetic sequence, "r" is the ratio in geometric sequence and "n" is the number of term.
Aix-en-Provence
Aix-en-Provence is a city in the south of France.
It has about 150,000 inhabitants.
Amiens
Amiens is a city in Somme in the former province of Picardy in northern France. About 145,000 people live there. The Treaty of Amiens was signed there.
Le Mans
Le Mans is a commune. It is found in the Pays de la Loire region in the Sarthe department in the west of France.
Le Mans is a city in France. It has about 143,000 inhabitants. It takes about one hour to go to Paris by TGV.
Le Mans is twinned with:
Tours
Tours is a city in the centre of France.
It has about 143,000 inhabitants.
Nancy, France
Nancy is a commune. It is the prefecture of the Meurthe-et-Moselle department in the Grand Est region. It was formerly the capital of the old Duchy of Lorraine.
Nancy has an oceanic climate ("Cfb" in the Koeppen climate classification).
Nancy is twinned with:
Limoges
Limoges ( or "Limòtges") is a city and commune, the capital (prefecture) of the Haute-Vienne department and the historical capital of the old Limousin region in west-central France. It is also the capital of the "arrondissement" of the same name.
Limoges is known for its medieval and Renaissance enamels on copper, for its 19th-century porcelain and for its oak barrels which are used for Cognac and Bordeaux production.
The city of Limoges is near the western limits of the Massif Central, in the centre of the Haute-Vienne department. The Vienne river flows through the city.
Limoges is at about from Paris, from Toulouse, from Bordeaux and from Marseille.
The "commune" has an area of . Its average altitude is ; at the city hall, the altitude is .
The "commune" of Limoges is surrounded by the "communes":
The climate of Limoges, in the Köppen climate classification, is Cfb - Oceanic climate with template summers.
The average amount of precipitation for the year in Limoges is . The month with the most precipitation on average is October with of precipitation. The month with the least precipitation on average is February with an average of .
The average temperature for the year in Limoges is . The warmest month, on average, is July with an average temperature of . The coolest month on average is January, with an average temperature of .
The inhabitants of Limoges are known, in French, as " Limougeauds" (women: "Limougeaudes").
With a population of 134,577, Limoges has a population density of inhabitants/km.
Evolution of the population in Limoges
Limoges forms, together with other 8 "communes", the urban area of Limoges with a population of 183,860 inhabitants (2013) and an area of . This urban area is the centre of the metropolitan area of Limoges, formed by 96 "communes", with a population of 283,050 inhabitants (2013) and an area of .
Limoges is the prefecture of the Haute-Vienne department, the capital of the "arrondissement" of Limoges and the administrative centre () of 9 cantons
It is part of the intercommunality "Limoges Métropole" ().
Limoges is twinned with:
Clermont-Ferrand
Clermont-Ferrand is a "commune" in the Puy-de-Dôme department in the Auvergne-Rhône-Alpes region in central-southern France.
It is the prefecture of the department and the capital of the "arrondissement" of Clermont-Ferrand and the historical capital of the region of Auvergne.
The modern city was born from the union of two separate towns, Clermont and Montferrand. This union has been imposed by Louis XIII in 1630 (Edict of Troyes) and was confirmed by Louis XV.