Bagà

Bagà is a Spanish municipality located in the comarca of Berguedà, in Catalonia.

Traditionally, Bagà is considered the capital of Alt Berguedà, the mountainous northern half of the comarca.

Location

Bagà is located at the head of the valley of the Llobregat river, at the feet of the high mountains of the Cadí range. The town itself is at 785 metres above sea level.

Bagà is 20 kilometers to the north of Berga, and 7.5 kilometers to the south of the Túnel del Cadí, a tunnel which crosses the Cadí range, connecting with the region of la Cerdanya.

The municipality includes a small exclave to the west.

History

Bagà was founded in the 9th century A.D. when the region of Berguedà was repopulated by Wilfred the Hairy. The noble family of Pinós dominated most of Alt Berguedà throughout most of the Middle Ages and administered its domains from the town of Bagà, giving the town some importance.

The town was redesigned in the 13th century by Galceran IV de Pinós, and is a rare example of medieval city planning. The town grew rapidly and by the beginning of the 14th century a new neighbourhood had to be built outside of the town's walls to accommodate its growing population. Bagà was also granted a weekly market (which continues to this day) consolidating its role as a regional capital.

Bagé

Bagé is a municipality in the south of the state of Rio Grande do Sul, Brazil. In 2007 its population was 164,550 (IBGE) in a total area of 4,096 km². It was the tenth largest city in the state in 2007

Location

Bagé is located 374 km. southwest of the state capital, Porto Alegre and approximately 60 km north of the border with Uruguay at Aceguá. The distance to Pelotas to the east on BR 293 is 180 km. Other distances from Bagé are:

Santana do Livramento: 170 km. Jaguarão: 199 km. Santa Maria: 250 km. See Aonde Fica and Prefeitura Municipal de Bagé for distances.

Comandante Gustavo Kraemer International Airport serves the city and the region although currectly no scheduled flights operate to and from it.

Climate

At an elevation of 242 meters above sea level just south of latitude 30° Bagé has a mild climate with maximum temperatures of 30 °C in January and 17 °C in June and minimum temperatures of 18 °C in January and 8 °C in June. Rainfall is spread out throughout the year with a maximum of 140.9 mm in July and a minimum of 103.1 mm in April.

Bag (puzzle)

Bag (also called Corral or Cave) is a binary-determination logic puzzle published by Nikoli.

Rules

Bag is played on a rectangular grid, usually of dashed lines, in which numbers appear in some of the cells.

The object is to draw a single, continuous loop along the lines of the grid, which contains all the numbers on the grid. Additionally, each number denotes the sum of all cells visible in any orthogonal direction before line of the loop is reached. For example, a 2 cell will have one cell adjacent to it, followed by a wall of the loop. In other words, if we treat the loop as a wall, each number denotes the number of cells can be seen from the cell with the number when looking orthogonally, the cell itself included.

Solution methods

The easiest starting place is to find a "maximum cell"; that is, a numbered cell which if the walls are not at the maximum distance possible, the number is not satisfied. For example, in a 10x10 grid which has not started to be solved, a 19-cell is a maximum cell, since if the four walls are not at the edges of the grid, the number of cells visible wouldn't be enough. After making some progress, "minimum cells" appear, where if the walls are not at the minimum distance possible, the number is not satisfied.

End

End or Ending may refer to:

End

END

Ending

See also

Conclusion (music)

In music, the conclusion is the ending of a composition and may take the form of a coda or outro.

Pieces using sonata form typically use the recapitulation to conclude a piece, providing closure through the repetition of thematic material from the exposition in the tonic key. In all musical forms other techniques include "altogether unexpected digressions just as a work is drawing to its close, followed by a return...to a consequently more emphatic confirmation of the structural relations implied in the body of the work."

For example:

End (graph theory)

In the mathematics of infinite graphs, an end of a graph represents, intuitively, a direction in which the graph extends to infinity. Ends may be formalized mathematically as equivalence classes of infinite paths, as havens describing strategies for pursuit-evasion games on the graph, or (in the case of locally finite graphs) as topological ends of topological spaces associated with the graph.

Ends of graphs may be used (via Cayley graphs) to define ends of finitely generated groups. Finitely generated infinite groups have one, two, or infinitely many ends, and the Stallings theorem about ends of groups provides a decomposition for groups with more than one end.

Definition and characterization

Ends of graphs were defined by Rudolf Halin (1964) in terms of equivalence classes of infinite paths. A ray in an infinite graph is a semi-infinite simple path; that is, it is an infinite sequence of vertices v₀, v₁, v₂, ... in which each vertex appears at most once in the sequence and each two consecutive vertices in the sequence are the two endpoints of an edge in the graph. According to Halin's definition, two rays r₀ and r₁ are equivalent if there is another ray r₂ (not necessarily different from either of the first two rays) that contains infinitely many of the vertices in each of r₀ and r₁. This is an equivalence relation: each ray is equivalent to itself, the definition is symmetric with regard to the ordering of the two rays, and it can be shown to be transitive. Therefore, it partitions the set of all rays into equivalence classes, and Halin defined an end as one of these equivalence classes.