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Fractal dimension can be used to analyze stock time series. This paper proposes a new K-line fractal dimension which is calculated from the positive or negative line separately. Accordingly, we call it positive line fractal dimension or negative line fractal dimension. Then negative line fractal dimension is used to segment time series. Experiment results show this new K-line fractal dimension can reflect the uptrend or downtrend of stock market better than traditional K-line fractal dimension.