Wiki User
∙ 13y agoBest example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
Wiki User
∙ 13y agoYes. If the Maclaurin expansion of a function locally converges to the function, then you know the function is smooth. In addition, if the residual of the Maclaurin expansion converges to 0, the function is analytic.
to explain to the reader
Its periodicity and amplitude remain the same.
Properties of elements are a periodic function of their atomic masses.
A graph has two axes, X and Y. A function can be seen on the graph based on the formula with X and Y representing certain properties in the formula.
Yes. If the Maclaurin expansion of a function locally converges to the function, then you know the function is smooth. In addition, if the residual of the Maclaurin expansion converges to 0, the function is analytic.
A maclaurin series is an expansion of a function, into a summation of different powers of the variable, for example x is the variable in ex. The maclaurin series would give the exact answer to the function if the series was infinite but it is just an approximation. Examples can be found on the site linked below.
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Unless the number happens to be a straightforward power of the base of the logs, the answer is that you cannot without some access to tables or a scientific calculator. There are Maclaurin series for the log function but without a powerful calculator, you will not get far with them.
Dmitri Mendeleev, a Russian chemist, was the first to notice that the properties of elements seemed to repeat periodically when arranged in order of increasing atomic mass. He created the first version of the periodic table based on this observation in 1869.
The properties of cells that determine the function of tissue include their shape, size, organelles present, and gene expression. Differentiation and specialization of cells within a tissue also play a key role in determining its function. Additionally, cell-cell communication and interactions with the extracellular matrix contribute to the overall function of a tissue.
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Properties of elements are periodic function of atomic number. Elements with same chemical properties are grouped together.
A black-box function is a function whose closed-form expression is not known or does not exist, and whose properties cannot be inferred.
to explain to the reader
The properties of elements are periodic function of their atomic number. The properties are repeated after certain interval.
A black-box function is a function whose closed-form expression is not known or does not exist, and whose properties cannot be inferred.