proof of theorem r'(t) x r''(t)
K(t) =
r'(t)3 proof of theorem r'(t) x r''(t)
K(t) =
r'(t)3
Mathematical logic.
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
Unproven Theorems
Empirical proof is "dependent on evidence or consequences that are observable by the senses. Empirical data is data that is produced by experiment or observation."( http://en.wikipedia.org/wiki/Empirical )"In mathematics, a proof is a convincing demonstration that some mathematical statement is necessarily true, within the accepted standards of the field. A proof is a logically deduced argument, not an empirical one."( http://en.wikipedia.org/wiki/Mathematical_proof )
There is none because it is not true.
There are very many different mathematical definitions of distance: the Euclidean metric, the Minkovski metric are two common examples. The proof will be different.
Mathematical logic and proof theory (a branch of mathematical logic) for proof
No, there is no mathematical proof of God's existence. The existence of God is a matter of faith and belief, not something that can be proven through mathematical equations.
Mathematical logic.
There is no mathematical proof that definitively shows that God does not exist. The existence of God is a philosophical and theological question that cannot be proven or disproven using mathematical methods.
The mathematical proof that the Earth is round comes from observations of the Earth's curvature and the way objects disappear over the horizon. One key piece of evidence is the fact that the Earth's shadow on the moon during a lunar eclipse is always round, which can only happen if the Earth is a sphere. Additionally, the way ships disappear hull-first over the horizon as they sail away is consistent with a curved surface. These observations, along with mathematical calculations, support the conclusion that the Earth is round.
There is no universally accepted mathematical proof for the existence of God. The question of God's existence is a matter of faith and belief, rather than something that can be proven through mathematical equations.
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
Unproven Theorems
QED from the Latin "quod erat demonstrandum", meaning "that which was to be demonstrated", normally put at the end of a mathematical proof
The Pythagorean Theorum was supposedly invented by Pythagoras during the Renaissance, but there is no proof or record. He is also said to have had a school to teach about mathematical and philosophical topics, for he was also said to be a widely known philosopher.
The end of proof symbol, often represented as a small square or Q.E.D., signifies the completion of a mathematical proof. It indicates that the argument has been logically concluded and that the statement or theorem has been successfully proven. This symbol is important in mathematics as it provides a clear and definitive way to show that a proof is complete and valid.