The phrase "a given length and" is correct and usable in written English.
It can be used when specifying a particular length in a context where additional information or conditions follow.
Example: "The rope must be cut to a given length and then secured properly to ensure safety."
Alternatives: "a specified length and" or "a certain length and".
Isoperimetric problem, in mathematics, the determination of the shape of the closed plane curve having a given length and enclosing the maximum area.
One example would be the isoperimetric problem: determine the shape of the closed plane curve having a given length and enclosing the maximum area.
For a given length and composition of the porous medium, the amount of that migrates depends only on the NaCl concentration of the feed solution.
The Plateau problem is related to the isoperimetric problem, dating to ancient Greece, which concerns finding the shape of the closed plane curve having a given length and enclosing the maximum area.
Through numerical analysis of obtained data, formulations have been obtained for the optimum dimensions of superconductor coil and maximum stored energy for a given length and cross sectional area of superconductor tape.
We begin to show that the design of optimum codes is a very difficult task by a set of preliminary brute force experiments where we generate all the possible optimum codes of a given length and minimum Hamming distance and then estimate the probability of finding one of these codes filling randomly the matrix that defines the code.
The number of turns of SMC spirals for a given length increases and the angle between the spiral plane and the transactional plane decreases with increasing distance from the heart [ 19, 20].
Our principal method is positional word counting (PWC), in which all sequence words of a given length (tetramers and hexamers in this work) are counted, recording both the occurrence and the position with respect to the 3'-processing site.
Here we start by taking the maximum absolute importance over all k-mers for a given length k and at a given position j.
That is, individuals with a given length of unemployment and the same level of benefits, but a longer period of benefit entitlement, may keep searching and wait for job offers that are better in terms of employment stability.
From the formula for estimating frame success rate (i.e., ( fleft {gamma}_jright)={left 1-{e}^{-0.5{gamma}_j}right)}^M ), where M denotes the length of frame with respect to a given length of packet, and γ j is the SINR value of receiving-end j [29]), we know that ( {e}^{-0.5{gamma}_j} )is the BER value of receiving-end j.
