Using the exponential form in expressing them, a general formula was derived for the breakdown voltage for sharply non-uniform field for small air gap distances. The humidity level was noted because of the varying humidity level of environment. The spark over voltage increases with humidity ...
Simplify the expression and express it in a positive exponent form. {eq}{x^3}{x^{ - 1}} {/eq} Product Rule of Exponents: The product rule of exponents asserts that we can add the powers when two exponential functions in multiplication form have the same base but distinc...
A long-standing problem in regulatory genomics is that of predicting gene expression purely from DNA sequence. With a novel transformer architecture, we have made a significant improvement by greatly expanding the receptive field and increasing the information flow between distal elements. In this way,...
Any time you add .time to your expression and ask it to look forward or backward you are asking for an exponential increase in the time it takes to make the calculations. If the times get rediculous the best thing you can do is to try using the Keyframe Assistant to convert the ...
Bottlenecks in metabolic pathways due to insufficient gene expression levels remain a significant problem for industrial bioproduction using microbial cell factories. Increasing gene dosage can overcome these bottlenecks, but current approaches suffer fr
A closed-form expression for the Sharma-Mittal entropy of ex- ponential families. Journal of Physics A: Mathe- matical and Theoretical, 45:032003, 2012.Frank Nielsen and Richard Nock, "A closed-form ex- pression for the Sharma-Mittal entropy of exponential families," Journal of Physics A:...
MathPresso is a C++ library designed to parse mathematical expressions and compile them into machine code. It's much faster than traditional AST or byte-code based evaluators, because there is basically no overhead in the expression's execution. The JIT compiler is based on AsmJit and works on...
As noted, this can result in exponential worst case processing time for some expressions. But there are other ways to process an NFA. For example, rather than just considering ourselves in one node at a time, we can maintain a “current state” that’s the set of all nodes we’re ...
The built-in Node.js regular expression engine can run in exponential time with a special combination: A vulnerable regular expression "Evil input" This can lead to what is known as aRegular Expression Denial of Service (ReDoS). To tell if your regular expressions are vulnerable, you might tr...
Collections of mRNA from planktonic (both exponential and stationary phase cultures) and sessile (biofilm) cells were sequenced. Six mRNA libraries were prepared following the mRNA-Seq protocols from Illumina. Reads were obtained in a HiScanSQ platform and mapped against the complete genome to ...