Hypotheses are statements which may or may not be true. If there is overwhelming support for such a set, it becomes a theory. In science a theory can be disproved but it can never be proven: you can only add to the weight of evidence in its support.
Mathematics is somewhat different. Although Kurt Godel proved that any non-trivial axiomatic system must contain statements whose truth or falsehood cannot be proven from within the system, most statements can be proven to be true or false. A set of hypotheses becomes a theory if every statement in it can be shown to be true, starting from the system's axioms and using any theorems already proven to be true.
relevant to a hypothesis, either positively or negatively. 2.2 Hypotheses and Sub-hypotheses Hypotheses are questions or conjectures of interest to an observer. Hypotheses may involve alternative possible explanations, possible answers, or alternative estimates. Hypotheses may have substructure. It is sometimes possible to partition a high-level hypothesis into a set of sub-hypotheses. The substructure decomposition is always a hierarchical tree. The hierarchy may be several levels deep before bottoming out in questions that can be directly assessed and answered by evidence.
define compact set?
In mathematics, sets are simply collections of objects. Set theory is the branch of mathematics that studies these collections of objects. For more information, please refer to the related link below.
A bijection is a one-to-one correspondence in set theory - a function which is both a surjection and an injection.
Cut Set matrix provides a compact and effecive means of writing algebriac equations giving branch voltages in terms of tree branches.
theory
A scientific hypothesis can become a theory if the hypothesis is tested extensively and competing hypotheses are eliminated.
The name in science is theory.
A hypothesis, or group of hypotheses, that is accepted as consistently valid is a theory. Either a hypothesis or a theory can be ultimately disproven. One definition of a theory is an accepted hypothesis.
A scientific theory is something that is expiremented/tested. Not all hypotheses will become theories because sometimes they aren't facts,they are educated guesses.
A hypotheses is a possible answer to a scientific question or explanation for a set of observations.
Hypotheses are ideas which are, as yet, unsupported by evidence. As a hypothesis becomes backed up by mathematical formulae and observational data, it may, if it is sound, become a theory. All scientific theories began life as hypotheses, it is merely a case of which hypotheses become theories, and which fall down by the wayside after being discredited or having lacked support.
a theory
theory
any and every theory started out as a hypothesis ;)
theory
The hypothesis is the cornerstone of science, and hypotheses can be constructed areas, hypotheses may be reached inductively, and a set of competing hypotheses.