Answer:a precise and unambiguous description of the meaning of a mathematical term. It characterizes the meaning of a word by giving all the properties and only those properties that must be true.
Theorem — a mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results.
Lemma — a minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to proving a theorem. Very occasionally lemmas can take on a life of their own (Zorn’s lemma, Urysohn’s lemma, Burnside’s lemma, Sperner’s lemma).
Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”).
Proposition — a proved and often interesting result, but generally less important than a theorem.
Conjecture — a statement that is unproved, but is believed to be true (Collatz conjecture, Goldbach conjecture, twin prime conjecture).
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From the cross section of the Grand Canyon, present is the Uplift, erosion deposition and tilting of the Precambrian sedimentary and igneous rocks.
The Precambrian metamorphic rocks and granite are the oldest rocks or structures.
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Much of Earth's water is thought to have come from asteroids impacting the planet early in its history. Image via NASA/Don Davis. The surface of the very young Earth was initially an ocean of magma. Hydrogen and noble gases from the solar nebula were drawn to the planetary embryo, forming the first atmosphere.
