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Idiom
That's a given.
This means that there are no ifs or ands ot buts about something; it's a sure thing.
Dictionary
Exact(5)
The problem to be solved is given by (20).
The initial knapsack problem to be solved is given as follows: min z = 35 y 1 + 55 y 2 + 105 y 3. subject to 15 y 1 + 30 y 2 + 50 y 3 ≥ 91.
There are 694 passengers to be transported; therefore, the knapsack problem to be solved is given as follows: min z = 35 y 1 + 55 y 2 + 105 y 3. subject to 15 y 1 + 30 y 2 + 50 y 3 ≥ 694.
At the advection-diffusion sub-step, the equation to be solved is given by frac{partial u}{partial t} + frac{partial F_{1}}{partial x_{1}} + frac{partial F_{2}}{partial x_{2}} = 0. (22) A finite volume discretization is applied to (22) as explained below.
In matrix form, the complete system to be solved is given by X r R ω X v R ω X r G ω X v G ω X r B ω X v B ω = 1 a R H R ω 0 0 0 0 a R H R ω 1 0 0 0 0 0 0 1 a G H G ω 0 0 0 0 a G H G ω 1 0 0 0 0 0 0 1 a B H B ω 0 0 0 0 a B H B ω 1 S r R ω S v R ω S r G ω S v G ω S r B ω S v B ω (4).
Similar(55)
Thus, using (3.4), the linearised equations to be solved are given as follows: (3.5).
Under the assumptions of an incompressible viscous fluid, negligible inertia and the Boussinesq approximation, the basic equations to be solved are given by (the meanings of symbols and physical properties are summarized in Table 1), (1) (2) (3) (4) (Equation of state: Boussinesq approximation), (5) (Energy equation with constant thermal conductivity and no internal heating).
The problem to be solved is whether a given value of Fa uniquely determines the corresponding Fp in the case that the explicit distribution of J i is unknown.
Problems are promptly analysed and instructions for problem solving are given by SVR via this list, which is sent out to the study centres as soon as a new item is added.
The dynamic equation of motion controlling the relative displacement d of a damped elastoplastic oscillator having a 5% damping under a seismic excitation is solved and is given by (Eq. (1)): mddot{d} + cdot{d} + kd = - ma_{S,i} (1 where m, c and k are the mass, viscous damping and stiffness of the SDOF oscillator.
A stress-strain relation, where an effective wire spring constant (k wire) can be defined, is given by solving Equation (1) using appropriate boundary conditions: (2).
More suggestions(15)
be sold is given
be solved is described
be maximized is given
be parameterized is given
be estimated is given
be coded is given
be tested is given
be achieved is given
be solved is related
be recognized is given
be handled is given
be solved is located
be relaxed is given
be served is given
be solved is formulated
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com