Club Libertad

Club Libertad is a football club based in Asunción, Paraguay. It plays in the Paraguayan Primera División. Source: División Profesional: 1910, 1917, 1920, 1930, 1943, 1945, 1955, 1976, 2002, 2003, 2006, 2007, 2008 Apertura, 2008 Clausura, 2010 Clausura, 2012 Clausura, 2014 Apertura, 2014 Clausura, 2016 Apertura, 2017 Apertura Division Intermedia: 2000 Copa Paraguay: 2019 Current squad of Club Libertad as of 23 August 2019 Sources: Manager: Ramón Díaz Javier Torrente Gregorio Pérez Jorge Burruchaga Rubén Israel Pedro Sarabia Leonel Álvarez Club Libertad Official Site Libertad page at Tigo Sports

Pat Harrington (soccer)

Pat Harrington is a former soccer and Canadian national team goalkeeper. In December 1983, the Toronto Blizzard selected Harrington in the first round of the 1983 North American Soccer League draft, he moved to English side Charlton Athletic before signing with the Toronto Blizzard in 1987. He played for Montreal outfits Supra and Impact. In 1994, he joined the Buffalo Blizzard of the National Professional Soccer League, he scored in the team's second game of the season, but played only eleven games that year due to injury. During the 1996-1997 NPSL season, Harrington had the league's lowest goals against average. On March 4, 1996, the Kansas City Wiz selected Harrington in the first round of the 1996 MLS Supplemental Draft, he moved to the Columbus Crew. The Crew released him at the end of the season. On April 24, 1997, the Detroit Safari selected Harrington in the first round of the Continental Indoor Soccer League draft. In 1999 and 2000, he played for the Sacramento Knights in the World Indoor Soccer League.

Harrington made his senior debut for Canada in a September 1992 friendly match against the USA, coming on as a second-half substitute for Paul Dolan. It proved to be his only international appearance, he did however play at the inaugural 1989 FIFA Futsal World Championship.. Pat Harrington at CanadaSoccer Pat Harrington at Pat Harrington at Major League Soccer Pat Harrington – FIFA competition record

Marginal value

A marginal value is a value that holds true given particular constraints, the change in a value associated with a specific change in some independent variable, whether it be of that variable or of a dependent variable, or the ratio of the change of a dependent variable to that of the independent variable.. In the case of differentiability, at the limit, a marginal change is a mathematical differential, or the corresponding mathematical derivative; these uses of the term “marginal” are common in economics, result from conceptualizing constraints as borders or as margins. The sorts of marginal values most common to economic analysis are those associated with unit changes of resources and, in mainstream economics, those associated with infinitesimal changes. Marginal values associated with units are considered because many decisions are made by unit, marginalism explains unit price in terms of such marginal values. Mainstream economics uses infinitesimal values in much of its analysis for reasons of mathematical tractability.

Assume a functional relationship y = f If the value of x i is discretely changed from x i, 0 to x i, 1 while other independent variables remain unchanged the marginal value of the change in x i is Δ x i = x i, 1 − x i, 0 and the “marginal value” of y may refer to Δ y = f − f or to Δ y Δ x = f − f x i, 1 − x i, 0 If an individual saw her income increase from $50000 to $55000 per annum, part of her response was to increase yearly purchases of amontillado from 2 casks to three casks the marginal increase in her income was $5000 the marginal effect on her purchase of amontillado was an increase of 1 cask, or of 1 cask per $5000. If infinitesimal values are considered a marginal value of x i would be d x i, the “marginal value” of y would refer to ∂ y ∂ x i = ∂ f ∂ x i (For a linear functional relationship y = a + b ⋅ x, the marginal value of y will be the co-efficient of x and this will not change as x changes. However, in the case where the functional relationship is non-linear, say y = a ⋅ b