Problem: Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations
What is a finite composition of two symmetries or their inverses?
The answer is the following: every symmetry of the square

Problem: Public notice is given through legal notices in newspapers, and communicated to state and county agencies within the species' area. Foreign nations may also receive notice of a listing. A public hearing is mandatory if any person has requested one within 45 days of the published notice. "The purpose of the notice and comment requirement is to provide for meaningful public participation in the rulemaking process." summarized the Ninth Circuit court in the case of Idaho Farm Bureau Federation v. Babbitt.
Do listing notices cross international soil?
The answer is the following: Foreign nations may also receive notice of a listing

Problem: A sequence of events, or series of events, is a sequence of items, facts, events, actions, changes, or procedural steps, arranged in time order (chronological order), often with causality relationships among the items. Because of causality, cause precedes effect, or cause and effect may appear together in a single item, but effect never precedes cause. A sequence of events can be presented in text, tables, charts, or timelines. The description of the items or events may include a timestamp. A sequence of events that includes the time along with place or location information to describe a sequential path may be referred to as a world line.
A sequence of events used to describe a sequential path can be referred to as what?
The answer is the following: a world line

Problem: The ISO standard ISO 12232:2006 gives digital still camera manufacturers a choice of five different techniques for determining the exposure index rating at each sensitivity setting provided by a particular camera model. Three of the techniques in ISO 12232:2006 are carried over from the 1998 version of the standard, while two new techniques allowing for measurement of JPEG output files are introduced from CIPA DC-004. Depending on the technique selected, the exposure index rating can depend on the sensor sensitivity, the sensor noise, and the appearance of the resulting image. The standard specifies the measurement of light sensitivity of the entire digital camera system and not of individual components such as digital sensors, although Kodak has reported using a variation to characterize the sensitivity of two of their sensors in 2001.
What techniques did CIPA DC-004 provide?
The answer is the following:
two new techniques allowing for measurement of JPEG output files