Sentence examples for needs substituting from inspiring English sources

In doing so, one needs substituting x n with the first vector rowb in (9); that is, x n = A N − 1 + p x m − p + B ̄ N − 1 W n − p, m − p, (24).

Beginning in 2001, that university eliminated loans to students who meet criteria for need, substituting grants that need not be repaid.

When existing businesses of all stripes fail to meet customer needs, substitutes enter the picture to fulfill them.

In addition, clear criteria are needed for substituting substances which ascertain that the new ingredients are proven to be less dangerous than the substituted substance according to the present assessment criteria.

In subsection (b)(2), the words "when needed" are substituted for "if need therefor is found" to eliminate unnecessary words.

From Maimon's reading of Kant, we know that Deleuze needs to substitute the notion of the condition of the genesis of the real for the notion of conditions of possibility of representational knowledge.

"Sometimes at the opera, singers get sick and they need substitutes," said the president of Lincoln Center, REYNOLD LEVY.

P. N. Furbank offers the theory that she was a needed substitute, in disguised, furry form, for what Ackerley really wanted: a woman.

When this happens, schools need substitute teachers, and will call a list of potential teachers to fill in for all grade levels and subjects.

Immunological monitoring allowed one to determine the patients who needed substitute therapy by immunoglobulin and a number of immunomodulators.

However, care is needed to substitute wheat with nutritious alternatives.