Vipul at 16:11, 15 October 2011

2011-10-15T16:11:27Z

← Older revision		Revision as of 16:11, 15 October 2011
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	{{quotation\|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a <math>\{ \}_0</math> subscript) in the domain of the relevant functions, and then discuss the version that deals with a point that is free to move in the domain, by dropping the subscript. Why do we do this?<br>The purpose of the specific point version is to emphasize that~~, at~~ the point is fixed for the duration of the definition, i.e., it does not move around while we are defining the construct or applying the fact. However, the definition or fact applies not just for a single point but for all points satisfying certain criteria, and thus we can get further interesting ~~angles~~ on it by ''varying'' the point we are considering. This is the purpose of the second, ''generic point'' version.}}		{{quotation\|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a <math>\{ \}_0</math> subscript) in the domain of the relevant functions, and then discuss the version that deals with a point that is free to move in the domain, by dropping the subscript. Why do we do this?<br>The purpose of the specific point version is to emphasize that the point is fixed for the duration of the definition, i.e., it does not move around while we are defining the construct or applying the fact. However, the definition or fact applies not just for a single point but for all points satisfying certain criteria, and thus we can get further interesting perspectives on it by ''varying'' the point we are considering. This is the purpose of the second, ''generic point'' version.}}

Vipul: Created page with "{{quotation|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a $\{ \}_0$ subsc..."

2011-09-21T22:21:54Z

Created page with "{{quotation|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a <math>\{ \}_0</math> subsc..."

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{{quotation|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a <math>\{ \}_0</math> subscript) in the domain of the relevant functions, and then discuss the version that deals with a point that is free to move in the domain, by dropping the subscript. Why do we do this?<br>The purpose of the specific point version is to emphasize that, at the point is fixed for the duration of the definition, i.e., it does not move around while we are defining the construct or applying the fact. However, the definition or fact applies not just for a single point but for all points satisfying certain criteria, and thus we can get further interesting angles on it by ''varying'' the point we are considering. This is the purpose of the second, ''generic point'' version.}}

Template:Generic point specific point confusion - Revision history

Vipul at 16:11, 15 October 2011

Vipul: Created page with "{{quotation|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a \{ \}_0 subsc..."

Vipul: Created page with "{{quotation|'''MORE ON THE WAY THIS DEFINITION OR FACT IS PRESENTED''': We first present the version that deals with a specific point (typically with a $\{ \}_0$ subsc..."