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Question Number 213427    Answers: 0   Comments: 0

Question Number 212927    Answers: 1   Comments: 0

White horse≠horse and horse≠White horse Q:Are the above propositions equivalent?

$$\mathrm{White}\:\mathrm{horse}\neq\mathrm{horse}\:\mathrm{and}\:\mathrm{horse}\neq\mathrm{White}\:\mathrm{horse} \\ $$$${Q}:\mathrm{Are}\:\mathrm{the}\:\mathrm{above}\:\mathrm{propositions}\:\mathrm{equivalent}? \\ $$

Question Number 208681    Answers: 2   Comments: 0

Question Number 208421    Answers: 0   Comments: 1

Question Number 208420    Answers: 2   Comments: 1

resoudre dans R^3 { ((x+y=3)),((y+z=5)) :}x+z=4

$$\boldsymbol{{resoudre}}\:\boldsymbol{{dans}}\:\mathbb{R}^{\mathrm{3}} \\ $$$$\begin{cases}{\boldsymbol{{x}}+\boldsymbol{{y}}=\mathrm{3}}\\{\boldsymbol{{y}}+\boldsymbol{{z}}=\mathrm{5}}\end{cases}\boldsymbol{{x}}+\boldsymbol{{z}}=\mathrm{4} \\ $$

Question Number 208328    Answers: 0   Comments: 0

Question Number 208178    Answers: 5   Comments: 3

Question Number 207834    Answers: 1   Comments: 0

$$\:\:\:\:\underbrace{\:} \\ $$$$ \\ $$

Question Number 207456    Answers: 0   Comments: 0

Question Number 207455    Answers: 0   Comments: 0

Question Number 207381    Answers: 1   Comments: 0

Question Number 203428    Answers: 0   Comments: 0

$$\:\cancel{\underbrace{\:}} \\ $$

Question Number 203304    Answers: 0   Comments: 0

Question Number 202830    Answers: 1   Comments: 0

$$\:\cancel{\underbrace{ }} \\ $$

Question Number 202749    Answers: 1   Comments: 3

Question Number 198750    Answers: 1   Comments: 0

Prove the following is a tautology: [(p⊻q)∧(p⇒r)]⇒(q⊻r)

$$\mathrm{Prove}\:\mathrm{the}\:\mathrm{following}\:\mathrm{is}\:\mathrm{a}\:\mathrm{tautology}: \\ $$$$\left[\left({p}\veebar{q}\right)\wedge\left({p}\Rightarrow{r}\right)\right]\Rightarrow\left({q}\veebar{r}\right) \\ $$

Question Number 198288    Answers: 1   Comments: 0

Question Number 196986    Answers: 1   Comments: 0

Prove that lim_(n→+∞) n∫^( 1) _( 0) e^(−nt(1−ln(1−t))) dt=(√(2π))

$$\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}n}\underset{\:\mathrm{0}} {\int}^{\:\mathrm{1}} \mathrm{e}^{−\mathrm{nt}\left(\mathrm{1}−\mathrm{ln}\left(\mathrm{1}−\mathrm{t}\right)\right)} \mathrm{dt}=\sqrt{\mathrm{2}\pi} \\ $$

Question Number 194406    Answers: 2   Comments: 0

Question Number 191231    Answers: 0   Comments: 1

Logic puzzle if 3621+22=10 7842+10=17 8223+13=29 1930+7 = 10 6624+11=?

$${Logic}\:{puzzle} \\ $$$${if}\:\:\mathrm{3621}+\mathrm{22}=\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{7842}+\mathrm{10}=\mathrm{17} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{8223}+\mathrm{13}=\mathrm{29} \\ $$$$\:\:\:\:\:\:\:\mathrm{1930}+\mathrm{7}\:=\:\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{6624}+\mathrm{11}=? \\ $$

Question Number 188924    Answers: 1   Comments: 0

Question Number 187776    Answers: 2   Comments: 0

Question Number 183644    Answers: 4   Comments: 1

Question Number 183583    Answers: 1   Comments: 1

Question Number 183480    Answers: 1   Comments: 1

Question Number 180378    Answers: 1   Comments: 0

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