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- proof writing - Proving statements vs disproving statements . . .
I searched online for other ways to disprove statements that didn't require a counterexample I came across this pdf: "How to disprove statements" In this they introduce the concept of disproof: It turns out that there is a very simple and utterly convincing procedure that proves a statement is false
- What is the correct way of disproving a mathematical statement?
Assuming the thing you want to disprove and inferring something you know to be false This is called reductio ad absurdum, or proof by contradiction It may seem bizarre to assume a (possibly) false proposition, but what you are really doing is considering the truth value of propositions conditional on the proposition you want to disprove
- computer science - Disproving big O - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Disprove: If $f$ is Riemann integrable on $ [a, b]$, then $f$ is . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Prove or disprove: $(A-B)-C=(A-C)- B$ for sets $A$, $B$, $C$
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- How to Disprove $A-(B-C)=A-(B\\cup C)$? For $A,B,C$ sets.
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- discrete mathematics - Prove or disprove: if A is a subset of B and B . . .
Prove or disprove that you can use dominoes to tile a 5 × 5 checkerboard with three corners removed How to interpret "x5" next to 47 uF capacitor on schematic? Did Nobel laureate Böll wish to go to war?
- inequality - (Dis)proving $\cos (A+B) \leq \cos B +\cos A$ in . . .
$$\cos (A+B)\leq\cos A +\cos B$$ $$\iff\cos (\pi-C)\leq\cos A +\cos B$$ $$\iff-\cos C\leq\cos A +\cos B$$ $$\iff0\leq\cos A +\cos B+\cos C$$ $$\iff0\leq 1+4\sin\frac A2\sin\frac B2\sin\frac C2$$ due to the formula $$\cos A+\cos B+\cos C=1+4\sin\frac A2\sin\frac B2\sin\frac C2$$ in a triangle $\triangle ABC $ Now, each half angle is less than $90^\circ$ so in fact $$1< 1+4\sin\frac A2\sin\frac
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