… note that, while the matrix A is still given by A = σ y - 2 X T X, the elements of X are now
partial derivatives of the fit function F with respect to the parameters, namely X ij = (∂F i /∂β j ); …

In the study of 1:1 binding, M + X ⇄ MX, isothermal titration calorimetry (ITC) can be used
successfully at values of c=K[M] 0 well below the value 1.0 that is often considered its lower limit…

… 34The f values given in this work are calculated from the expression f =4.32x 10-9 J e vdv.
Note that the determination of IRel2 for the 1 u states involves a factor of 2 for the electronic …

… seldom holds for a set of parameters β returned by an LS fit, and one must use the more
general expression,(8) σ f 2 = g T ⁢ V g , in which the jth element of the vector g is ∂f / ∂β j , …

… (For brevity I will omit the reference to J' and J" in these elements from now on.… J' J" must
include both overlapped tranSitions, and N(v", J") must refer to the total concentration in the (v", J"…

… Joel Tellinghuisen. Can you trust the parametric standard errors in nonlinear least squares?
… Joel Tellinghuisen. Optimizing isothermal titration calorimetry protocols for the study of 1:1 …

In the study of 1:1 binding by isothermal titration calorimetry, reagent concentration errors are
fully absorbed in the data analysis, giving incorrect values for the key parameters—K, ΔH, …

The effects of non‐Maxwellian ion speed distributions on ion–neutral reaction rate constants
measured in drift tubes are examined experimentally and are compared to the predictions …

… which the jth element of the vector g is ∂f ∂β j . This expression is rigorously correct for
functions f that are linear in variables β j that are themselves normal variates [19]. For non-linear …

… , i = V b + ∑ j = 1 i v j , where V b is the starting volume of solution in the cell and v cum,i is
the cumulative titrant volume after the ith injection, with volume v j possibly varying with each …