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  2. Cross-lagged panel model - Wikipedia

    en.wikipedia.org/wiki/Cross-lagged_panel_model

    With these four measures, there are six possible relations among them – two synchronous or cross‐sectional relations (see cross‐sectional design) (between X1 and Y1 and between X2 and Y2), two stability relations (between X1 and X2 and between Y1 and Y2), and two cross‐lagged relations (between X1 and Y2 and between Y1 and X2)."

  3. Line drawing algorithm - Wikipedia

    en.wikipedia.org/wiki/Line_drawing_algorithm

    dx = x2x1 dy = y2y1 m = dy/dx for x from x1 to x2 do y = m × (x − x1) + y1 plot(x, y) Here, the points have already been ordered so that x 2 > x 1 {\displaystyle x_{2}>x_{1}} . This algorithm is unnecessarily slow because the loop involves a multiplication, which is significantly slower than addition or subtraction on most devices.

  4. Digital differential analyzer (graphics algorithm) - Wikipedia

    en.wikipedia.org/wiki/Digital_differential...

    In fact any two consecutive points lying on this line segment should satisfy the equation. ... {float x, float y, float x1, y1, float x2, y2, dx, dy, step; int i, gd ...

  5. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    y=f(x)=.5x+1 or f(x,y)=x-2y+2=0 Positive and negative half-planes. The slope-intercept form of a line is written as = = + where is the slope and is the y-intercept. Because this is a function of only , it can't represent a vertical line.

  6. Pinhole camera model - Wikipedia

    en.wikipedia.org/wiki/Pinhole_camera_model

    The image plane is parallel to axes X1 and X2 and is located at distance from the origin O in the negative direction of the X3 axis, where f is the focal length of the pinhole camera. A practical implementation of a pinhole camera implies that the image plane is located such that it intersects the X3 axis at coordinate -f where f > 0 .

  7. Frobenius solution to the hypergeometric equation - Wikipedia

    en.wikipedia.org/wiki/Frobenius_solution_to_the...

    Since z = 1 − x, the solution of the hypergeometric equation at x = 1 is the same as the solution for this equation at z = 0. But the solution at z = 0 is identical to the solution we obtained for the point x = 0, if we replace each γ by α + β − γ + 1.

  8. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Line–line_intersection

    First we consider the intersection of two lines L 1 and L 2 in two-dimensional space, with line L 1 being defined by two distinct points (x 1, y 1) and (x 2, y 2), and line L 2 being defined by two distinct points (x 3, y 3) and (x 4, y 4). [2] The intersection P of line L 1 and L 2 can be defined using determinants.

  9. Direct stiffness method - Wikipedia

    en.wikipedia.org/wiki/Direct_stiffness_method

    After inserting the known value for each degree of freedom, the master stiffness equation is complete and ready to be evaluated. There are several different methods available for evaluating a matrix equation including but not limited to Cholesky decomposition and the brute force evaluation of systems of equations. If a structure isn’t ...