How to make a javascript library function like jquery [closed]

I have been working on a jquery like library here is the code:

(function(){
        var int,
            method;
        function Jist(s){
            return new Jist.fn.init(s);
        };
        Jist.fn = Jist.prototype ={
            init : function(s){
                if(!s){
                    return this;
                }
                else{
                    this.length = 1;
                    if (typeof s === "object"){
                        this[0] = s;
                    }
                    else if(typeof s === "string"){
                        var obj;
                        obj = document.querySelectorAll(s);
                        this[0] = obj;
                        this.elem = this[0];
                    }
                    return this;
                }
            },
        }
        Jist.fn.init.prototype = Jist.fn;
        Jist.fn.init.prototype = {
            print : function(txt){
                for(var i=0; i<this.elem.length; i++) {
                    this.elem[i].innerHTML = txt;
                }
                return this;
            },
            pop : function(msg){
                alert(msg);
                return this;
            },
            click : function(callback){
                for(var i=0; i<this.elem.length; i++) {
                    this.elem[i].addEventListener("click",callback,false);
                }
                return this;
            },
            fadeOut : function(ms) {
                var elem = this.elem;
                var opacity = 1,
                    interval = 50,
                    gap = interval / ms;
                function func() { 
                    opacity -= gap;
                    for(var i=0; i<elem.length; i++) {
                        elem[i].style.opacity = opacity;
                    }
                    if(opacity <= 0) {
                        window.clearInterval(fading); 
                        for(var i=0; i<elem.length; i++){
                            elem[i].style.display = 'none';
                        }
                    }
                }
                var fading = window.setInterval(func, interval);
                return this;
            },
            fadeIn : function(ms) {
                var opacity = 0,
                    interval = 50,
                    gap = interval / ms,

                    elem = this.elem;
                    for(var i=0; i<elem.length; i++){
                        elem[i].style.display = 'block';
                        elem[i].style.opacity = opacity;
                    }
                function func() { 
                    opacity += gap;
                    for(var i=0; i<elem.length; i++){
                        elem[i].style.opacity = opacity;
                    }
                    if(opacity >= 1) {
                        window.clearInterval(fading);
                    }
                }
                var fading = window.setInterval(func, interval);
                return this;
            }
        };
        window.Jist = window._ = Jist;
})(); 

In jquery you can write al line of code like this: $("#logo").fadeOut(1000).fadeIn(1000);. I would like to be able to have my library function like that but I cant figure out how to do that.

I would really like it if someone could show me how to do this.

Thanks.