"hence requiring" is a perfectly valid and usable phrase in written English.
It can be used to emphasize the logical necessity of something. For example: "Changes to the organizational structure are necessary, hence requiring us to take a closer look at current staffing levels."
However, the actual problem involves several conflicting objectives hence requiring a multi-objective formulation.
Hence, requiring that a work be "fixed in any tangible medium of expression" made sense — fixation was the point at which legal copyrights attached to the completed artwork.
However, the angle must be defined in a way specific to the landscape, scale, and season that are under investigation, hence requiring rapid, easy-to-use tools.
There is an increasing demand on detecting millimeter to sub-millimeter level ground displacement signals in order to further understand regional scale geodetic phenomena hence requiring further improvements in the sensitivity of the GPS solutions.
A stochastic model for residual strength is developed and time-dependent methods are employed to quantify the probability of failure so that the time for the pipeline to be failed and hence requiring repairs can be determined.
A small proportion of AT (<10%) is present in blood in the β-form, with a lower oligosaccharide content, a lower Molecular Weight, a higher binding rate to endothelial glycosaminoglycans, and a higher anticoagulant activity, hence requiring specific laboratory methods for its measurement.
Uses lsqcurvefit.m, hence requires Optimization Toolbox.
Problems come in different shapes and sizes and hence require different amounts of time.
Generally, the damage estimation is an ill-posed inverse problem, and hence requires regularization.
Vertical turbines are smaller than horizontal ones, but produce more energy per unit and hence require fewer units.
Cheaper cameras can only deal with very small data streams, and hence require a lot of compression.
