They say that you should start a new year as you mean to continue. For me, of course, this translates to baking! Having spent a fantastic evening bringing in the new year with some of my favourite people, cocktails and amazing food, a long and involved recipe was not what I was looking for today. Maximum output for minimum effort for moi, please! This wonderful (cheat's) cheesecake was absolutely perfect for the occassion. I ask that you do not judge too hastily. Usually, where cheesecakes are concerned, I am a purist. Creamy, rich baked cheesecakes are my speciality but today was not the day to be spending hours in the kitchen...
My cheaty raspberry cheesecake begins with the simplest base known to man: digestive biscuits and unsalted butter. This is pressed into a springform pan and popped into the freezer. The 'cheesecake' is blissfully easy: cream cheese, icing sugar, vanilla, and lemon juice mixed then folded into double cream. Once this is poured over the base, and put in the fridge for as long as you can wait (this was about an hour for us) a good quality fruit conserve is spooned over the top. Wow! Simple, yet beyond fabulous!
My wish for the new year is that everyone achieves all that they hope for, in the company of people who they love and cherish. I cannot wait for what this year has in store. I am excited about the amazing people I have yet to meet, the incredible recipes I am yet to bake and for future experiences that I am sure will blow my mind.
What better way to share the Friday cheer than with a scrummy recipe? Here is my Chocolate Caramel Slice recipe...and it tastes even better than it looks! These are perfect for morning tea, giving away as little gifts or just to have as a sweet treat. Believe me, you will be making these little darlings over and over again! Thank me now because you'll be too busy munching on these later on.
Mix together dry ingredients for the base before adding the melted butter. Bring together and press into a prepared 20cm x 20cm tin. Place in a moderate oven (about 180 degrees) and bake for around 20 minutes. It should have started to brown a little on top but the gorgeous smell will alert you to its readiness.﻿
If you start getting your caramel ingredients together when you've popped the base into the oven, it seems to time itself pretty well. Place all the ingredients into a saucepan over a low heat. Stir until the butter has melted and then cook for another 6-7 minutes. Don't expect it to thicken much or change in colour, just keep stirring it so that you don't burn the bottom!
Let the tin cool on the bench before popping it into the fridge. Leave it for a good couple of hours (I usually let it go overnight) to make sure that it is nice and cold.
While I do prefer to melt chocolate over a pot of boiling water, I use my Tupperware microwave jug for this recipe. Break the chocolate into pieces and drizzle the oil over the top. I put it in the microwave for 30 seconds at a time, stirring in between. This ensures that you have no disasters. When the chocolate is completely melted and is shiny and smooth, pour it over the chilled caramel. Tip and tilt the tin to allow the chocolate to spread evenly across the whole slice. Put it straight back into the fridge and leave until set. This usually only takes about 30 minutes.
Lift the slice out of the tin. To slice, I use a knife dipped into boiling water. This stops the chocolate breaking and makes you cuts clean and neat. Wipe the knife with a cloth in between to remove any melted chocolate. I start by chopping off the 'crispy' edges. (This is the favoured part in my house and hardly the scraps with all the dark, 'burnt' caramel!) Then you can cut the slice into pieces sized to your liking. Steal a piece at this point because you won't get a look in later on!
For the quantification of binary mixtures, neural networks were trained by the calibration data and subsequently predicted the independent test data. The root mean square errors (RMSE) of the test data and the crossvalidated calibration data measured with the 6-sensor array setup are listed in the first row of table 1. The RMSE of the prediction of the R134a concentrations is about three times higher than the RMSE of R22, whereby the relative RMSE of the test data are 3.5% for R22 and 13.0% for R134a. The RMSE of the test data of both analytes are only slightly higher than the RMSE of the crossvalidation of the calibration data indicating good calibration models [79]. The predictions of the test data are graphically shown in the true-predicted plots in figure 9. Thereby the predicted concentrations of the test data are plotted versus the true known concentrations. Ideal predictions are consequently located on the diagonal. As the single predictions cannot be graphically resolved, the predictions of each concentration level are represented by the mean and the standard deviation. It is visible that the predictions of both analytes are not biased as the means of all concentration levels do not significantly deviate from the diagonal. The smaller standard deviations of the plot of R22 show that the predictions of the concentrations of R22 are more precise than the predictions of R134a. Both, the RMSE and the true predicted plots allow the conclusion that both, R22 and R134a, can be quantitatively determined in binary mixtures using the RIfS array setup. Especially the more important detection of the harmful R22 has proven to be very accurate over the whole concentration range.
figure 9: Predicted concentrations versus true concentrations of the test data measured by the array setup.
figure 10: Predicted concentrations versus true concentrations of the test data measured by the 4l setup.
The RMSE for the measurements performed by the 2-sensor 4l setup are listed in the second row of table 1, whereby the relative RMSE of the test data are 7.4% for R22 and 21.4% for R134a. The RMSE of the calibration data and the test data are also not significantly different indicating again the absence of typical problems of calibrations by neural networks like overtraining effects. Yet, the RMSE of both analytes are nearly twice as high as the RMSE of the measurements performed by the array setup with 6 sensors. The true-predicted plots in figure 10 correspond with this higher RMSE. The high standard deviations of the true-predicted plot of R134a show that the predictions are rather scattered. Additionally, the predictions of the low concentrations are a little biased with the absence of R134a being predicted as a relative saturation pressure of 0.0086 on average. On the other hand, the true-predicted plot of R22 shows that the predictions of R22 are not biased and more precise than the predictions of R134a demonstrating that a quantification of R22 in the presence of R134a is possible by using the low-cost 4l setup.
The deterioration of the quantification of both analytes using the 4l setup instead of the array setup raises the question, if this deterioration is caused by the reduction of the number of sensors or by the type of setup. Therefore, the data set recorded with the array setup was calibrated with neural networks again, but this time only the sensors PUT and UE2010 15% were used as input variables. For the comparison the UE 2010 15% layer is used instead of the 20% layer, as the UE 2010 layer used in the 4l setup is more similar to the UE 2010 15% layer in respect to the thickness of the layer. The RMSE of this experiment are listed in row 3 of table 1. The RMSE of R22 is nearly equal for the 4l setup and for the array setup with 2 sensors. Thus, the deterioration of the prediction of R22 can be primarily ascribed to the limitation of the number of sensors. On the other side, the RMSE of R134a of the 2-sensor array lies in between the 4l setup and the 6-sensor array. Hence, not only the limitation of the number of sensors, but also the type of setup plays a role for the quantification of R134a.
table 1: Root mean square errors for the calibration and prediction of the data measured by the array setup using 6 polymer sensors (1st row) and using all combinations for 2 sensors out of 6 sensors (3rd row to 17th row) . The root mean square errors for the miniaturized 4l setup, which uses 2 sensors, are listed in the 2nd row.
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