Hodge

Hodge may refer to:

Places

Other uses

See also

Roger Squires

Roger Squires, born 22 February 1932, in Tettenhall, Wolverhampton, England, is a British crossword compiler, living in Ironbridge, Shropshire, who is best known for being the world's most prolific compiler. He compiles under the pseudonym Rufus in The Guardian, Dante in The Financial Times and is the Monday setter for the Daily Telegraph.

Early days, education, the military, and introduction to crosswords

In the Second World War, as a deck leader in the Sea Scouts, he acted as a messenger, helping to transfer the D-Day wounded and was a member of a Gang Show entertaining war workers in factories, as if they were not suffering enough. Squires was educated at Wolverhampton Grammar School where he gained his School Certificate before joining the Royal Navy at age 15 as a Boy Seaman. He trained at the notorious HMS Ganges, where the lash was still in use, winning the award for the best all-round boy of the year, coming first in the Seamanship, Gunnery and School examinations and representing the ship at football and cricket. At 20, as the youngest ever Seaman Petty Officer, he became a Lieutenant in the Fleet Air Arm and flew for 10 years from various carriers, visiting over 50 countries. He flew in several Squadrons, 703X test flying the new Gannet anti-submarine aircraft, various Flights of 849 AEW Squadron in Skyraiders and Gannets, and in 831 Radio Warfare Squadron as Senior Observer. His first published puzzle appeared in 1963, the year that he left the Navy, in the Wolverhampton Express & Star. The first national was the Radio Times, and in the same year he became a regular compiler with the Birmingham Post. He then started compiling for syndicates that supplied puzzles for newspapers in the UK and abroad, including Central Press Features, The Press Association, The Syndicate, First Features, Morley Adams, and Gemini Crosswords.

End

End or Ending may refer to:

End

END

Ending

See also

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.

End (film)

End is a 1984 fiction film by Mahmoud Shoolizadeh; is a story about the children who live near the railways and their lives are full of ups and downs. This film displays the story of a small child who lives in south of Tehran during times of social problems. The film analyses an unjust and unfair society.

Director's View

Inflation, unemployment, divorce and social poverty are the major problems in modern Iran. If the officials, social and cultural experts and planners do not find solutions to these problems, the future society would face crisis due to the consequences.

Technical specifications and Film crew

American football rules

Game play in American football consists of a series of downs, individual plays of short duration, outside of which the ball is dead or not in play. These can be plays from scrimmage – passes, runs, punts, or field goal attempts (from either a place kick or a drop kick) – or free kicks such as kickoffs and fair catch kicks. Substitutions can be made between downs, which allows for a great deal of specialization as coaches choose the players best suited for each particular situation. During a play, each team should have no more than 11 players on the field, and each of them has specific tasks assigned for that specific play.

Objective of the game

The objective of this game is to score more points than the other team during the alotted time. The team with the ball (the offense) has 4 plays (downs) to advance at least 10 yards, and can score points once they reach the opposite end of the field, which is home to a scoring zone called the end zone, as well as the goal posts. If the offense succeeds in advancing at least 10 yards, they earn a "first down" and the number of tries allotted is reset and they are again given 4 tries to advance an additional 10 yards, starting from the spot to which they last advanced. If the offense does not advance at least 10 yards during their 4 downs, the team without the ball (the defense) regains control of the ball (called turnover on downs).

Point (mortgage)

Points, sometimes also called "discount points", are a form of pre-paid interest. One point equals one percent of the loan amount. By charging a borrower points, a lender effectively increases the yield on the loan above the amount of the stated interest rate. Borrowers can offer to pay a lender points as a method to reduce the interest rate on the loan, thus obtaining a lower monthly payment in exchange for this up-front payment. In United States, for each point purchased, the loan rate is typically reduced by anywhere from 1/8% (0.125%) to 1/4% (0.25%).

Selling the property or refinancing prior to this break-even point will result in a net financial loss for the buyer while keeping the loan for longer than this break-even point will result in a net financial savings for the buyer. The longer you keep the property financed under the loan with purchased points, the more the money spent on the points will pay off. Accordingly, if the intention is to buy and sell the property or refinance in a rapid fashion, paying points is actually going to end up costing more than just paying the loan at the higher interest rate.