故原式 =\int\left( \frac{-\frac{1}{2a}}{x+a}+\frac{\frac{1}{2a}}{x-a} \right)\text{ }dx =\frac{1}{2a}\int\left( \frac{1}{x-a}-\frac{1}{x+a} \right)\text{ }dx =\frac{1}{2a}\ln\left|\frac{x-a}{x+a}\right|+C . 4. 求\
A key tool for functional annotation is the Gene Ontology (GO), which provides a structured set of defined terms representing gene properties [5]. The structure of gene ontology is composed of three major domains:cellular component(CC), the parts of a cell or its extracellular environment;molec...
This paper gives a decision-procedure for the symbolic integration of a certain class of transcendental Liouvillian functions in terms of elementary functions and error-functions. An example illustrating the use of the decision-procedure is given.DOI...
Properties of Riemann-Stieltjes Integral In addition to the constraint for the Riemann-Stieltjes integral to exist, we can also transform it into a Riemann integral at specific occasions: Theorem 2: If g'(x) exists and is continuous on [a,b] then ...
As is known, multiple omes regulate biological functions synergistically1,2. MIDAS integrates RNA, ADT and ATAC single-cell data and hence facilitates the discovery of the intrinsic nature of cell activities in a more comprehensive manner. We found that all omics data contributed greatly to the id...
(function_name sysname, create_stmtnvarchar(max))insertinto#wrapper_functions exec sys.sp_cdc_generate_wrapper_functiondeclare@stmtnvarchar(max)declare#hfunctionscursorlocalfast_forwardforselectcreate_stmtfrom#wrapper_functionsopen#hfunctionsfetch#hfunctionsinto@stmtwhile(@@fetch_status <>-1)beginexec sp...
are equivalents of the GSL functions: respectively. These can be useful when, e.g., you can calculate the natural logarithm of a Gaussian likelihood function (in cases where the exponentiation of the Gaussian function would lead to zeros or infinities) and you want to numerically find the inte...
Self-sustained metabolic pathways in microcompartments are the corner-stone for living systems. From a technological viewpoint, such pathways are a mandatory prerequisite for the reliable design of artificial cells functioning out-of-equilibrium. Here we
Some implementations of Rx allow you to perform functions on these observables, such as RxJava, which allows traditional functions like map or filter to be used. The various Rx implementations have found a very happy home in distributed systems. They allow us to abstract out the details of ...
Integration, in mathematics, technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign “∫,” as in ∫f(x), usually called the indefinite integral of the function. The