Sentence examples similar to functions arbitrarily from inspiring English sources

Impaired renal function: arbitrarily defined as an increase in blood urea of > 5 mmol/l from preoperative levels.

A Rayleigh-Ritz method mapping arbitrarily shaped plates on to a natural co-ordinate plane using serendipity functions is presented.

Since any (L^p) function can be written as the sum of a bounded function and an (L^p_w) function of arbitrarily small (||cdot ||_{p, w}^*), the second sentence implies the first.

We present a class of infinite-order cutoff functions with arbitrarily high rates of decay at infinity.

At the top end of the market you can now buy a fridge with a built-in radio and voice recorder, proving we've reached the stage of combining functions entirely arbitrarily.

'Smooth' inference for survival functions with arbitrarily censored data.

In particular, there are universal harmonic functions of arbitrarily slow transcendental growth.

We cannot, however, impose this restriction because we need to include in G functions with arbitrarily small, but positive, elasticities of substitution.

Hence, it is impossible to focus the exit wave functions of arbitrarily shaped samples into a single image plane without introducing local focus changes Δf = Δf x,y).

In [17] we develop techniques based on a kind of generalized backward shifts which allow us to extend the main results in this paper and [5] to other differential operators, and then we show the existence of harmonic and entire functions of arbitrarily slow transcendental growth which are universal with respect to some differential operators.

The approach is based on fitting a simple exponential function to arbitrarily chosen two data-points of the measured thermoluminescent glow-curve.