The phrase "a given by" is not correct in standard written English.
It seems to be an incomplete expression and lacks clarity without additional context.
Example: "The results were a given by the previous experiments, indicating a consistent trend."
Alternatives: "a result of" or "an outcome from".
Let (varphi :Arightarrow A) given by (varphi (0)=1) and (varphi (1)=0).
The most well known varieties are the variety of Abelian groups (mathcal A) given by the identity ([x,y]=1), the variety of nilpotent groups of class c, ({mathcal N}_c) given by the identity ([ldots [x_1,ldotsldots,x_{c+1}]=1), etc.
For localized downlink transmission with linearly precoded SU-MIMO system with 2 antennas at both the transmitter and the receiver side, applying the FDPF scheduling algorithm the probability that the SINR of a scheduled user is below a certain threshold, that is, the CDF of the post scheduling SINR per PRB is, as shown in Appendix A, given by (13).
Since (A) is a central simple algebra over (K), the canonical map (varphi :A otimes _K A^{mathrm{op}} rightarrow mathrm{End}_K, A) given by begin{aligned} sum _{i = 1}^r a_i otimes b_i longrightarrow left( x mapsto sum _{i = 1}^r a_ixb_i right), end{aligned}is an isomorphism.
Between these two points, the synaptic strength received by neuron A, given by g B ( Q ∗ ), is larger than g ¯ A → B. Since the cells are identical, the neurons must give equal amount of response (so that their steady-state firing periods will be equal) for a steady-state solution to occur.
The beauty of these pictures is almost a given by now.
Intramuscular injection of botulinum toxin type-A given by manual intramuscular needle placement in the lower extremity under general anaesthesia is an established treatment and standard of care in managing spasticity in children with spastic cerebral palsy.
There is a natural partial ordering on the elements of (mathbb{A}) given by a preceq bquadLongleftrightarrowquad b - a in mathbb{A}_.
Here, afterslip begins and lowers the value of Y by a quantity (U_{mathrm{a}}) given by (71), driving the point to (P_3): this is again on line (39) and a new interseismic interval begins.
Clearly, (phi big ((a.alpha )b-a alpha.b big )=0(alpha in mathfrak {A}, a,b-a alpha.b bignce, (phi =0 alphaJ_A) and (tinde{phi }:A/J_Alongrightarrow mathfrak {A}) given by (tilde{phi }(a,bin)=phi (A)) is well defined.
The space (Delta^) is partially ordered by the usual point-wise ordering of functions, i.e., (F leq G) if and only if (F t) leq G t)) for all t in R. For example an element for (Delta^) is the distribution function (varepsilon_{a}) given by (varepsilon_{a}(t)= 0), if (tleq a) and 1 if (t>a).
