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State the following statement as a disjunction (in DNF) as well using quantifiers:
There does not exit a woman who has taken a flight on each airline in the world.
Ans: Let us describe the propositions.
Woman (x): "x is woman"
Flight (x, y): "x has taken flight on every airline y in world".
Now the following statement can be expressed as
~[∃x Woman (x) ∧ ∀y Flight (x, y)]
= ~∀y ∃x [Woman (x) ∧ Flight (x, y)]
= ∃y ∀x [~Woman (x) ∨ ~Flight (x, y)]
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The functions {sinmx; cosmx}; m = 0,....∞ form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these
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we know that derivative of x 2 =2x. now we can write x 2 as x+x+x....(x times) then if we take defferentiation we get 1+1+1+.....(x times) now adding we get x . then which is wro
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