In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.

Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Point groups are used to help understand symmetry phenomena in molecular chemistry; and Poincare groups can express the physical symmetry underlying special relativity. What are the answers to this following set of questions: 1. In math, what is a group called?
2. What pair is a group made of?
3. Does it merge any two to form a third?
4. How many conditions does it meet?
5. What are the four called?
6. Groups share a closeness with the notion of what?
7. What does a symmetry group encode features of?
8. What are point groups used to help figure out?
9. The ubiquity of groups in few areas?
10. What are group axioms?
11. Is it detached from the group?
Answer: 1. An algebraic structure
2. Elements
3. Yes.
4. Four.
5. Group axioms
6. Symmetry.
7. A geometrical object:
8. Phenomena
9. Numerous.
10. Closure, associativity, identity and invertibility
11. Yes.

Kaci Hickox, a nurse placed under mandatory quarantine in New Jersey, went on CNN on Sunday and criticized the "knee-jerk reaction by politicians" to Ebola, saying "to quarantine someone without a better plan in place, without more forethought, is just preposterous."

Hickox, an epidemiologist who was working to help treat Ebola patients in Sierra Leone, has tested negative twice for Ebola and does not have symptoms, she said. She is quarantined for 21 days at University Hospital in Newark.

"This is an extreme that is really unacceptable, and I feel like my basic human rights have been violated," Hickox told CNN's Candy Crowley on "State of the Union."

She described herself as "physically strong" but "emotionally exhausted."

"To put me through this emotional and physical stress is completely unacceptable," she said.

She slammed New Jersey Gov. Chris Christie for describing her as "obviously ill."

"First of all, I don't think he's a doctor; secondly, he's never laid eyes on me; and thirdly, I've been asymptomatic since I've been here," Hickox told Crowley Sunday.

In a separate interview with CNN Senior Medical Correspondent Elizabeth Cohen, Hickox elaborated on what she thought of Christie's assessment of her medical condition.

"I'm sorry, but that's just a completely unacceptable statement in my opinion. For (Christie) -- a politician who's trusted and respected -- to make a statement that's categorically not true is just unacceptable and appalling."

What would mandatory quarantines do?

"She's fine. She's not sick."

Hickox told Crowley that mandatory quarantine is "not a sound public health decision" and that public health officials -- not politicians -- should be making the policies related to Ebola and public safety. What are the answers to this following set of questions: 1. Who was Kaci Hickox?
2. Where?
3. What kind of reaction did she say the politicians had?
4. What news outlet did she say this on?
5. What is her job?
6. What is she working on?
7. Where?
8. Does she have Ebola?
9. How long is she quarantined?
10. Where?
11. What city?
12. Is she happy about that?
13. What does she say has been violated?
14. Is she upset?
15. Who has she critisised?
16. Why?
17. Who did a separate interview of her?
18. What is her position at CNN?
19. What did she tell Crowley?
20. Who does she think should make those decisions?
Answer: 1. a nurse placed under mandatory quarantine
2. New Jersey
3. knee-jerk reaction
4. CNN
5. an epidemiologist
6. to help treat Ebola patients
7. in Sierra Leone
8. No
9. 21 days
10. University Hospital
11. Newark.
12. No
13. her basic human rights
14. Yes
15. New Jersey Gov. Chris Christie
16. for describing her as "obviously ill."
17. Elizabeth Cohen,
18. Senior Medical Correspondent
19. that mandatory quarantine is "not a sound public health decision"
20. public health officials

NEW YORK (CNN) -- In the midst of the ongoing culture wars, can it be a good idea to put out a comedy about two Stone Age men who wander into the Bible?

In "Year One," Jack Black stars as an inquisitive Stone Age man, with Michael Cera as his sidekick.

Harold Ramis thinks so.

"Year One," which he directed, concerns two men -- played by Jack Black and Michael Cera -- who leave their home and, in their travels, meet biblical characters such as Cain, Abel, Abraham and Isaac. Among the locales: ancient Sodom, which "didn't seem worse than Las Vegas to me," Ramis told CNN.

"Year One" comes out Friday.

Ramis, whose writing and directing credits include "Groundhog Day" and "Analyze This," said it was time for a new biblical epic -- of sorts.

"No one had done this film for our generation," he told CNN. It's like, you know, when 'Animal House' [which Ramis co-wrote] came out, there were college films. Every generation had college films, but our generation didn't have one yet, and I don't know that our generation - this young, new generation of kids has a, you know, a sandal epic yet, and this is the one. This is for them."

Ramis rounded up a cast of comedians familiar to any watcher of Judd Apatow-produced movies -- no surprise, since Apatow is a producer of "Year One." Christopher Mintz-Plasse ("Superbad"), Horatio Sanz ("Saturday Night Live," "Step Brothers") and Bill Hader ("Tropic Thunder") all have parts. What are the answers to this following set of questions: 1. Who is the director of the movie being described?
2. Who plays the leads?
3. What are their characters?
4. What's the title of the movie?
5. What time period is it set in?
6. Who was the movie geared towards?
7. Who is the producer?
8. What is Sodom compared to?
9. Which Characters will Black and Cera encounter?
10. What other movies does Ramis have to his name?
11. What kind of actors was he looking to cast?
Answer:
1. Harold Ramis
2. Jack Black and Michael Cera
3. An inquisitive Stone Age man and his sidekick
4. Year One
5. Stone Age
6. People in college
7. Judd Apatow
8. Las Vegas
9. Biblical characters
10. "Groundhog Day" and "Analyze This"
11. Comedians