quotient ruleThe standard approach to the general rules for differentiation is to first derive the power, product, and quotient rules and then derive the chain rule. In this short article we give an approach to these rules which uses the chain rule as the main tool in deriving the power, ...
You can use the symbolic toolbox. If you need to do it more "by hand" then use the chain rule.
In this case, the commonly used approaches for the derivation of partial molar properties are inapplicable. Nevertheless, this problem can be solved by the chain rule for the differentiation of multivariable functions [23], [24], [25], [26], [27], [28]. According to this rule, Eq. (5...
Methods and apparatuses are provided for determining a first fingerprint of audio or video data. The first fingerprint is stored in a database or record including information pertai
We present two case studies assessing the nephrotoxic and neurotoxic risks for the Austrian population originating from food contaminant mixtures. Calculations could not rule out potential cumulative risks, yet, they seemed to be dominated by single substances. 展开 ...
Introduction Deriving the appropriate gradient descent algorithm for a new network architecture or system configuration normally requires numerous chain rule expansions, diligent bookkeeping, and careful manipulation of terms. For example, the celebrated backpropagation algorithm for training feedforward neural...
CONTAM EFSA Panel on Contaminants in the Food ChainRisk assessment of chemical mixtures remains a challenging task in all areas of food and consumer safety. So far, no general method has been developed that is best suited to several subject areas (e.g. food contaminants, additives and ...
In this work, we generalize the methodology of derivation and extend it to any Markov chain model of malware based on random propagation. We also propose a second method of derivation based on modifying the simplest form of the model and adjusting it for more complex models. We validated the...