What is Rigorous: Definition and 160 Discussions

Rigour (British English) or rigor (American English; see spelling differences) describes a condition of stiffness or strictness. Rigour frequently refers to a process of adhering absolutely to certain constraints, or the practice of maintaining strict consistency with certain predefined parameters. These constraints may be environmentally imposed, such as "the rigours of famine"; logically imposed, such as mathematical proofs which must maintain consistent answers; or socially imposed, such as the process of defining ethics and law.

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  1. 0

    Combinatorial proof-is this rigorous?

    First, please don't give me too much information or suggest other ways to do it if you think this is not rigorous. This is not supposed to be collaborative. I am asked to prove that n!^{n+1} divides (n^2)!. I thought of a few ways to try to do this, but the first thing I got is the...
  2. S

    Rigorous Divergence Theorem Proof

    The Background: I'm trying to construct a rigorous proof for the divergence theorem, but I'm far from my goal. So far, I have constructed a basic proof, but it is filled with errors, assumptions, non-rigorousness, etc. I want to make it rigorous; in so doing, I will learn how to construct...
  3. L

    Is there a rigorous proof

    Is there a "rigorous" proof.. -That a "Quantum" of space (a minimum lenght, area or volume for any 4-dimensional Manifold) exist applying Quantum mechanics and GR?..both together or in the "Semi-classical" limit?... - this "Planck lenght" should be obtained directly from math and never...
  4. dextercioby

    Searching for "Perihelium Precession Problem" Derivation in General Relativity

    Well, I'm searching for a rigorous derivation of the famous "perihelium precession problem in General Relativity". Did anyone do it...? Daniel.
  5. A

    Rigorous Intro to QM: Best Books for Learning

    Hi: I would like to get a mathematically rigorous "introduction" to QM. Which books would you recommend?
  6. R

    Mathematicians modern rigorous definition of number?

    What is the mathematicians modern rigorous definition of number ? thanks Roger
  7. R

    Mathematically rigorous definition of time ?

    Hi I'm looking for the mathematically rigorous definition of time ? can anyone help me ? Thanks Roger
  8. R

    What is the rigorous proof for 1+1 = 2?

    Hi I hope someone can help me with this : I need the rigorous proof for 1+1 = 2 and explained in a fairly simple way. Thanks Roger
  9. Greg Bernhardt

    The SimCity navy has a rigorous training program

    The SimCity navy has a rigorous training program. In order to graduate from the naval academy, cadets must enter a pool and fight sharks. Today, a group of cadets was tested. Each cadet put on his mask, snorkel, and two flippers; and armed himself with a knife. Then the cadets jumped into the...
  10. agro

    Proving Limits: Rigorous Definition & Difficulties

    I think I understand the formal/rigorous definition of limit, but I find proving various limits (or following proofs of them) extremely difficult. I hope you all will help me. I think I won't advance my calculus study until I really get this limit proving thing btw... Here's one limit prove...
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