Harmonic Waves

    board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 200, unitX: 50, unitY: 50});
    board1.suspendUpdate();
    board1.createElement('axis', [[0,0], [1,0]], {});
    board1.createElement('axis', [[0,0], [0,1]], {});
    var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
    board1.createElement('functiongraph', [
        function(t) {
            var val = 0, sv = s.Value()+1,
            k = 1;
            for(var i = 0; i < sv; i++) {
                val = val + Math.sin(2*Math.PI*k*t)/k;
                k += 1;
            }
            return val+2;
        }, -10, 10], {strokeColor: "#bb0000"});
    
    board1.createElement('functiongraph', [
        function(t) {
            var val = 0, sv = s.Value()+1,
                k = 1;
            for(var i = 0; i < sv; i++) {
                val = val + Math.sin(2*Math.PI*(2*k-1)*t)/(2*k-1);
                k += 1;
            }
            return val-2;
        }, -10, 10], {strokeColor: "#cc5520"});

    board1.unsuspendUpdate();