Sentence examples for exactly one root from inspiring English sources
Using calculus we find that (h'(x)) is continuous on (mathbb{R}_) and has exactly one root (x_{0}), which is (x_{0}=pcdot vert q-pvert ^{-1}).
Therefore, σ is strictly decreasing on [ 0, T ] and hence it has exactly one root in ( 0, T ).
Wilmshurst's count is obtained when each of these components has exactly one root.
Since and, we will be done if we show that has exactly one root in.
For all (S geq 1), (H(S) geq H(1)=F(1 - mu_{1 - mu_{)=(mu_{1}+gamma)(sigma_{0}-1)>0) because (H(S)) is monotonically increasing on the interval ([0,+infty)) and (sigma_{0}>1). Therefore (H(S)=0) has exactly one root (S^in(0,1)). It is not difficult to comu_{e the expressions (I^) and (R^) from system (4) at the endemic equilibrium (E_). □.
Then problem (1.1) has exactly one solution.
has exactly one solution ( X, Y ).
Hence, beginning with some k, Equation 2.6 has exactly one positive root corresponding to the imaginary root of Equation 2.5.
Therefore, by Descartes' rule of signs, the numerator of has exactly one positive root,.
A cut of the taxonomy tree for a block A i s n p, denoted by Cut i, contains exactly one value on each root-to-leaf path (more discussion follows).
