3 . by using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [ 13 ] , [ 73 ] ) ; b - net form of bivariate splines function ; discriminant sequence of polynomial ( cf . [ 13 ] , [ 73 ] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence , this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite . a lower bound of the number of real intersection points is obtained in terms of method of rotation degree of vector field 大連理工大學(xué)博士論義:分片代數(shù)價(jià)線i片代數(shù)簇的若十m穴3 :利用楊路,張景中,侯曉榮在文獻(xiàn)v13 , 73 )中關(guān)于一元多項(xiàng)式實(shí)根的顯式判準(zhǔn),以及二元樣條函數(shù)的b網(wǎng)形式,多項(xiàng)式的判別序列和sturm序列的最高次數(shù)項(xiàng)系數(shù)序列的變號(hào)數(shù),本文給出了兩個(gè)分片代數(shù)曲線的丈交點(diǎn)數(shù)(假設(shè)公共點(diǎn)是有限的)的計(jì)算公式。