The design, synthesis, characterization and application of biologically synthesized nanomaterials have become a vital branch of nanotechnology.
What is certain is that economics will remain a vital branch of knowledge, as central to curricula of universities as it is to the conduct of human interaction, with an ongoing proliferation of new theories, schools, and subfields.
Because of its seminal influence on wealth-creation in general and employment in particular, the manner in which innovation functions especially, the way it comes and goes in Darwinian bursts of activity has emerged as a vital branch of scholarship.
More recently, there has developed a new and vital branch, quantum optics, which is concerned with the theory and application of the laser, a device that produces an intense coherent beam of unidirectional radiation useful for many applications.
Under the KeyCorp plan, KeyCorp committed to lending $16.5 billion to low- and moderate-income communities over a five-year period, with up to 35percentt of the total commitment targeted at the areas where KeyCorp and First Niagara overlapped in New York, and to maintaining a vital branch and administrative footprint in western New York.
Fractional-order calculus is a vital branch of mathematical analysis.
'The theory of fixed points is one of the most powerful tools of modern mathematics' said Felix Browder, who gave a new impetus to the modern fixed point theory via the development of nonlinear functional analysis as an active and vital branch of mathematics.
"The theory of Fixed Points is one of the most powerful tools of modern mathematics" is a quote by Felix Browder, who in the mid-nineteen sixties gave a new impetus to the modern fixed point theory via the development of nonlinear functional analysis as an active and vital branch of mathematics.
And we'd all be deprived of the most vital branch of the American lyric theater's stream.
The decompressed aneurysm can now be dissected circumferentially, adjacent vital perforating branches can be separated from the aneurysm fundus, and in partially thrombosed lesions the sac can be opened and evacuated.
