• Communications of Mathematical Education
• /
• v.22 no.3
• /
• pp.337-347
• /
• 2008

'Slope' is an invariant of a straight line and 'Linear Equation' is an algebraic representation of a straight line in the cartesian plane. The concept 'slope' is necessary for algebraically representing a geometrical figure, line. In this article, we investigate how those concepts are dealt with in school mathematics and suggest some improvement methods.

• The Korean Journal of Applied Statistics
• /
• v.6 no.2
• /
• pp.401-408
• /
• 1993

This paper suggests a nonparametric test for the parallelism of several regression lines against ordered alternatives. The test statistic is an extension of the Potthoff statistic. The asymptotic variance of the proposed statistic is estimated by Bootstrap method. The proposed test are compared with the Adichie's parametric and nonparametric tests.

• The Korean Journal of Applied Statistics
• /
• v.7 no.2
• /
• pp.173-182
• /
• 1994

By applying slope estimator under the arbitrary error distributions proposed by Han(1993), if we define regression quantiles to give upper and lower trimming part and blocks of data, we show the proposed slope estimator has asymptotically efficient slope estimator when the number of regression quantiles to from blocks of data goes to sufficiently large.

• Journal of Korea Multimedia Society
• /
• v.10 no.2
• /
• pp.218-225
• /
• 2007

This paper presents a technique to detect a document skew that often occurs during document scanning. To correct a skewed document is essential for automatic processing system including character segmentation, character recognition and so on. The proposed algorithm can detect a skew angle exactly by searching characters baselines that have slant information of the document within a candidated area. To reduce processing time, we resized the image small and then established a ROI (region of interest) by morphology operations and connected components analysis. We compared our method with the existing method based on morphology operations and proved correctness and efficiency of the proposed algorithm through experiments and analysis with various kind of document images.

• Proceedings of the Korean Society of Propulsion Engineers Conference
• /
• 2011.11a
• /
• pp.528-535
• /
• 2011

In the present, the formation of shear band under a simple shear deformation is investigated using a rate-independent elastic-plastic constitutive relations. Moreover, the strain gradient terms are incorporated to obtain a non-local plastic constitutive relation, which in turn represented using combined two-back stress hardening model. Then, the continuum damage model is also included to the proposed model. The post-localization behavior are studied by introducing a small imperfection in a work piece. The strain gradient affects the shear localization significantly such that the intensity of shear band decreases as the strain gradient coefficient increases when the J2 flow theory is employed.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2006.05a
• /
• pp.796-799
• /
• 2006

This paper presents a new method for automatic detection of skew in a document image using mathematical morphology. To speed up processing, we use reduced image but it still requires long time to estimate the skew angle so the proposed method works with region of interest, not with whole image. Character strings are connected by using morphological closing operation and a component labeling is used to select region of interest. The method considers the lowermost pixels of characters in candidate regions in the binary image of original document image. Experimental results shows that the proposed method is extremely fast and robust as well as independent of script forms.

• The Journal of Engineering Geology
• /
• v.33 no.2
• /
• pp.229-240
• /
• 2023

Instruments are installed in soft ground improvement projects to manage economic and safe construction. When analyzing data, the amount of settlement data over time can be used to understand the overall ground settlement behavior, but it is difficult to analyze the interrelatedness between measurement points. Therefore, to analyze the relative compressive settlement behavior between measurement points, the settlement amount and velocity were processed and defined as the mean settlement difference index (AS_i,j) and the slope difference index (SDI_i,j). Plotted in the mean settlement difference index - slope difference index (AS_i,j-SDI_i,j) coordinate system. As a result of the analysis of the relative compaction subsidence behavior between the measuring points, the relationship between the measuring points in the average subsidence difference index - slope difference index coordinate system moved to area 1 as the compaction was completed. By continuously plotting the movement path of the observation point in the corresponding coordinate system, the relative settlement behavior between the measurement points was analyzed, and it was possible to check whether the settlement behavior of the two measurement points was stable or unstable depending on the direction of the path.

• The Journal of the Acoustical Society of Korea
• /
• v.24 no.2
• /
• pp.117-126
• /
• 2005

This study investigates the prosodic characteristics of Korean through the analysis of a large database. One female and one male speakers each read 650 sentences and they were segmentally and prosodically labeled. Statistical analyses were done on these utterances regarding the tonal pattern and the size of prosodic units, correlation between the size of higher level prosodic units and the number of lower level prosodic units. and the slope and F0 of the falling and rising contours of an accentual phrase. The results showed that the duration and the number of words and syllables of a prosodic unit were significantly different not only between speakers but also between its positions within a higher level prosodic nit. The munber of a prosodic unit showed a high correlation with the duration and the number of syllables of its higher level units. The slope of the falling contour within an accentual phrase was inversely Proportional to the number of its syllables. The slope was different depending on the first tone type of an accentual phrase, which could be explained with the F0 rising and the different amount of rising between tones when an accentual phrase starts with an H tone. The slope of the falling contour across an accentual phrase boundary showed a constant and larger value compared to one within an accentual phrase. The rising contours in the beginning and end of an accentual Phrase were similar in their slopes but they differ in the amount of F0 change : the former showed a larger amount of change. The slope of the rising contour which forms an accentual Phrase on its own was inversely Proportional to the number of its syllables.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2004.05b
• /
• pp.599-602
• /
• 2004

In this paper, an automatic setting method of control parameters for robot scorer is proposed. First we acquisited some local image lesions including robots and ball patch, and sampled the regions to RCB value. Edge operator is applied to get magnitude of gradient at each pixel. Some effective patch regions can be detected by magnitude of gradient, and YUV value at each pixel in patch lesions can be obtained. We can determine control parameters of robot soccer using luminance component of YUV. The proposed method is applied to robot soccer image to detect initial patch value and get control parameters adaptively in light variation.

• Science of Emotion and Sensibility
• /
• v.14 no.4
• /
• pp.663-674
• /
• 2011

Two experiments were conducted to examine how additional dotted lines and peripheral stimulus to the caf$\grave{e}$ wall illusion affect on the degree of perceived tilt (amount of illusion) and confidency of illusionary perception. The experiment 1 tested the effects of adding mortar (solid line) and bright contrast dotted lines to the borderline of 3 layers of blocks, which are consisted of black and white blocks. On the experiment 2, effects of adding peripheral stimulus on caf$\grave{e}$ wall illusion were tested. The results of experiment 1 showed that adding dotted line on the borderline mortar between blocks has additive effects on confidency of illusory perception. However, no effect on perceived amount of illusion was noted. On the other hand according to the results of experiment 2, adding blocks did increase amount, but not confidency of illusory perception. These results imply that the perception of caf$\grave{e}$ wall illusion is related with response of orientation selective neurons.