Sentence examples for steps and equations from inspiring English sources

As key steps in the approach and also the novel contributions, the paper develops explicit simulation steps and equations for the simulation of the stochastic load occurrence, realizations of deterioration processes considering both gradual and shock deteriorations with state-dependent deterioration models, as well as samples for estimating life-cycle performance quantities.

For completeness, we list the steps and equations we used.

Step 1 and Equation (1) imply that the expected values of means Ε (X ¯ g k ) are equal to µ gkL g/S k.

In the light of fundamental theories on mass and energy balance, substantial design steps and certain empirical equations have been introduced with further validation through experimental analysis.

Numbered steps correspond to sections and equations in the 'Materials and methods'.

defer.add img); To get the slope on an equation like this, just rearrange it so that y is alone: 4y = 3x + 8 Divide both sides by "4": y = 3/4x + 2. Calculate the y-intercept using the slope from the first step and the equation b = y - mx.

Notice however that the BioQuali tool does not explicitly compute all the steps in this process: the software encodes the steps into equations and then solves the resulting system with efficient methods [ 25].

Mathematical papers can be made more accessible by giving step-by-step derivations for equations, and intuitive explanations for how these equations reflect the biological process under investigation, even if this involves covering material that may already be familiar to other theoretical biologists.

Parameter optimizations were performed with aid of evolutionary algorithms (JavaEva, μ = 8 parent and λ = 4 children) and using the nominal parameter values of the reactions, transport and diffusion steps in equations (2) to (9).

The seismic wave propagation at each grid point is calculated explicitly with increasing time steps and by solving the equation of motions using an eighth-order staggered-grid FDM in the horizontal directions and a fourth-order staggered-grid FDM in the vertical direction, where the smaller (0.25 km) grid is applied.

As sixth graders, they will be learning the following topics in first semester: distributive property, order of operations, translations (English to Algebra), writing algebraic expressions and equations, solving one and two step equations, rates, ratios, writing proportions, solving proportions, scale drawings and models, customary and metric measurements, and conversions between the two systems.