query: Solution to exponential function in natural numbers
positive_passages.docid: 22821
positive_passages.text: May $y=e^x$ be satisfied with both $x$ and $y$ $\in$ $\mathbb{Z}^+$?
negative_passages.docid: 101776
negative_passages.text: Bounded solution for an equation
negative_passages.docid: 131141
negative_passages.text: Solutions to $p+1=2n^2$ and $p^2+1=2m^2$ in Natural numbers.
negative_passages.docid: 129693
negative_passages.text: An interesting problem with "decomposing" natural numbers.
negative_passages.docid: 3729
negative_passages.text: Exponential Word Problem s(x)=5000−4000e^(−x)
negative_passages.docid: 122481
negative_passages.text: proof of an identity for exponential function
negative_passages.docid: 133101
negative_passages.text: Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
negative_passages.docid: 10753
negative_passages.text: Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
negative_passages.docid: 144515
negative_passages.text: Equation with high exponents
negative_passages.docid: 42745
negative_passages.text: Validity and Equivalence of two definitions of the real exponential function
negative_passages.docid: 66886
negative_passages.text: $e^{mx}$ in solving second order differential equations
negative_passages.docid: 136885
negative_passages.text: Series of natural numbers which has all same digits
negative_passages.docid: 66933
negative_passages.text: Solving an exponential equation with different bases
negative_passages.docid: 152472
negative_passages.text: How to get solutions in elementary functions to the following non-linear ODE
negative_passages.docid: 91395
negative_passages.text: Distribution of sum of exponentials
negative_passages.docid: 72900
negative_passages.text: What is the best way to show that the exponential sequence doesn't uniformally converge on an unbounded interval
negative_passages.docid: 57167
negative_passages.text: A hard problem on exponential integration