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It is impossible to prove a hypothesis true because science aims to falsify hypotheses rather than prove them true. A hypothesis can only be supported by evidence, but it can never be proven definitively true because new evidence could potentially challenge or change our interpretation of it.
Newton prove gravity by means of an apple falling on his head
The lyrics "Who says it takes two, it's up to me and you to prove it" are from the song "It Takes Two" by Katy Perry. The song emphasizes that two people need to work together to make a relationship succeed.
To prove that 1 kg is equal to 1000 grams, you can use the definition of the kilogram as the base unit of mass in the metric system. By definition, 1 kilogram is equal to 1000 grams. This relationship is established and accepted in the International System of Units (SI).
It is impossible to prove a hypothesis true or false definitively. A hypothesis is a proposed explanation for a phenomenon that requires testing through experimentation and evidence gathering, but it cannot be definitively proven without a complete understanding of all factors involved.
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A coordinate proof
Let G be the cyclic group generated by x, say. Ten every elt of G is of the form x^a, for some a
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There's a theorem to the effect that every group of prime order is cyclic. Since 5 is prime, the assertion in the question follows from the said theorem.
you can coordinate parallel because parallel lines never touch or cross
The catalytic hydrogenation of benzene gives the C6H12 which obeys the formula of Alkenes but do not react with Br2 and KMnO4 solution so it is a cyclic molecule cyclohexane, the formation of cyclohexane proves that benzene also exists in cyclic structure.
just count the squares and say there are an equal amount of squares?? if a line is bisecting the other line the dot is the midpoint
AEFD is a cyclic quad. Let angle EBC be x. Then EFC is 180-x, and EFD is x. We also know that BAD is 180- x ( cointerior angles). Hence BAD and EFD are supplementary. Use same technique, let angle BCF be y. Then you will get FDA to be supplementary to FEA. therefore aefd is a cyclic quad.
Lagrange theorem states that the order of any subgroup of a group G must divide order of the group G. If order p of the group G is prime the only divisors are 1 and p, therefore the only subgroups of G are {e} and G itself. Take any a not equal e. Then the set of all integer powers of a is by definition a cyclic subgroup of G, but the only subgroup of G with more then 1 element is G itself, therefore G is cyclic. QED.
A coordinate proof involves using a coordinate system to prove geometric theorems or properties. Important elements include defining a coordinate system, assigning coordinates to key points in the geometric figure, and using algebraic methods, such as the distance formula or slope, to demonstrate relationships between these points. Clear logical reasoning and step-by-step justification are essential to ensure the proof is valid. Finally, conclusions must relate back to the original geometric properties being proven.
By LaGrange's Thm., the order of an element of a group must divide the order of the group. Since 3 is prime, up to isomorphism, the only group of order three is {1,x,x^2} where x^3=1. Note that this is a finite cyclic group. Since all cyclic groups are abelian, because they can be modeled by addition mod an integer, the group of order 3 is abelian.