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Click Insert, then Function (or f on the task bar) to open Insert Function window.
For long lists of classes, the above insert function is inefficient, since on average it has to run through half the list elements.
Click "Formulas" and select the "Insert Function" tab.
Click on "Formulas" and select the "Insert Function" (fx) tab again.
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To specify a MapReduce application, we require an implementation of the MapReduce framework into which we can insert map and reduce functions.
Click the "Fx" icon to insert a function.
The simulations highlighted the impingement of the different oil particle sizes on the tool carbide inserts as function as these different parameters.
By inserting this function into (2.4) we obtain that C ≥ ( ε p + 1 ) 1 - p, so that, by letting ε → 0+ we have that C ≥ 1.
Since the functions (mathfrak{y}_{1} x,lambda)) and (mathfrak {y}_{2} x,lambda)) satisfy the boundary condition (2.2) and both transmission conditions (2.4) and (2.5), to find the eigenvalues of (2.1 - 2.5 2.1 - 2.5 to insert the functions (mathfrak {y}_{1}(x,lambda)) and (mathfrak{y}_{2}(x,lambda)) in the boundary condition (2.3) and find the roots of this equation.
Proof Since the functions ϕ 1 ( x, λ ) and ϕ 2 ( x, λ ) satisfy the boundary condition (2.2) and both transmission conditions (2.4) and (2.5), to find the eigenvalues of the (2.1 - 2.5 2.1 - 2.5 to insert the functions ϕ 1 ( x, λ ) and ϕ 2 ( x, λ ) in the boundary condition (2.3) and find the roots of this equation.
Since the functions (varphi_{1} x,lambda)) and (varphi _{2} x,lambda)) satisfy the boundary condition (2.2) and the transmission conditions (2.4), to find the eigenvalues of the (2.1 - 2.4 2.1 - 2.4to insert the functions (varphi _{1}(x,lambda)) and (varphi_{2}(x,lambda)) in the boundary condition (2.3) and find the roots of this equation.
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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