我终究无法弄清楚是什么导致了这两个错误，我们将不胜感激!
Uncaught TypeError: Object #<Object> has no method 'live'
$('a.nivo-prevNav', slider).live('click', function(){
Uncaught TypeError: Object #<Object> has no method 'live'
if(vars.running) return false;
clearInterval(timer);
timer = '';
vars.currentSlide -= 2;
nivoRun(slider, kids, settings, 'prev');
});
`Uncaught TypeError: Undefined is not a function (repeated 20 times)`
var timer = 0;
if(!settings.manualAdvance && kids.length > 1){
timer = setInterval(function(){ nivoRun(slider, kids, settings, false); }, settings.pauseTime);
Uncaught TypeError: undefined is not a function (repeated 13 times)
}
js文件
/*
* jQuery Nivo Slider v2.6
* http://nivo.dev7studios.com
*
* Copyright 2011, Gilbert Pellegrom
* Free to use and abuse under the MIT license.
* http://www.opensource.org/licenses/mit-license.php
*
* March 2010
*/
(function($) {
var NivoSlider = function(element, options){
//Defaults are below
var settings = $.extend({}, $.fn.nivoSlider.defaults, options);
//Useful variables. Play carefully.
var vars = {
currentSlide: 0,
currentImage: '',
totalSlides: 0,
randAnim: '',
running: false,
paused: false,
stop: false
};
//Get this slider
var slider = $(element);
slider.data('nivo:vars', vars);
slider.css('position','relative');
slider.addClass('nivoSlider');
//Find our slider children
var kids = slider.children();
kids.each(function() {
var child = $(this);
var link = '';
if(!child.is('img')){
if(child.is('a')){
child.addClass('nivo-imageLink');
link = child;
}
child = child.find('img:first');
}
//Get img width & height
var childWidth = child.width();
if(childWidth == 0) childWidth = child.attr('width');
var childHeight = child.height();
if(childHeight == 0) childHeight = child.attr('height');
//Resize the slider
if(childWidth > slider.width()){
slider.width(childWidth);
}
if(childHeight > slider.height()){
slider.height(childHeight);
}
if(link != ''){
link.css('display','none');
}
child.css('display','none');
vars.totalSlides++;
});
//Set startSlide
if(settings.startSlide > 0){
if(settings.startSlide >= vars.totalSlides) settings.startSlide = vars.totalSlides - 1;
vars.currentSlide = settings.startSlide;
}
//Get initial image
if($(kids[vars.currentSlide]).is('img')){
vars.currentImage = $(kids[vars.currentSlide]);
} else {
vars.currentImage = $(kids[vars.currentSlide]).find('img:first');
}
//Show initial link
if($(kids[vars.currentSlide]).is('a')){
$(kids[vars.currentSlide]).css('display','block');
}
//Set first background
slider.css('background','url("'+ vars.currentImage.attr('src') +'") no-repeat');
//Create caption
slider.append(
$('<div class="nivo-caption"><p></p></div>').css({ display:'block', opacity:settings.captionOpacity })
);
// Process caption function
var processCaption = function(settings){
var nivoCaption = $('.nivo-caption', slider);
if(vars.currentImage.attr('title') != '' && vars.currentImage.attr('title') != undefined){
var title = vars.currentImage.attr('title');
if(title.substr(0,1) == '#') title = $(title).html();
if(nivoCaption.css('display') == 'block'){
nivoCaption.find('p').fadeOut(settings.animSpeed, function(){
$(this).html(title);
$(this).fadeIn(settings.animSpeed);
});
} else {
nivoCaption.find('p').html(title);
}
nivoCaption.fadeIn(settings.animSpeed);
} else {
nivoCaption.fadeOut(settings.animSpeed);
}
}
//Process initial caption
processCaption(settings);
//In the words of Super Mario "let's a go!"
var timer = 0;
if(!settings.manualAdvance && kids.length > 1){
timer = setInterval(function(){ nivoRun(slider, kids, settings, false); }, settings.pauseTime);
}
//Add Direction nav
if(settings.directionNav){
slider.append('<div class="nivo-directionNav"><a class="nivo-prevNav">'+ settings.prevText +'</a><a class="nivo-nextNav">'+ settings.nextText +'</a></div>');
//Hide Direction nav
if(settings.directionNavHide){
$('.nivo-directionNav', slider).hide();
slider.hover(function(){
$('.nivo-directionNav', slider).show();
}, function(){
$('.nivo-directionNav', slider).hide();
});
}
$('a.nivo-prevNav', slider).live('click', function(){
if(vars.running) return false;
clearInterval(timer);
timer = '';
vars.currentSlide -= 2;
nivoRun(slider, kids, settings, 'prev');
});
$('a.nivo-nextNav', slider).live('click', function(){
if(vars.running) return false;
clearInterval(timer);
timer = '';
nivoRun(slider, kids, settings, 'next');
});
}
//Add Control nav
if(settings.controlNav){
var nivoControl = $('<div class="nivo-controlNav"></div>');
slider.append(nivoControl);
for(var i = 0; i < kids.length; i++){
if(settings.controlNavThumbs){
var child = kids.eq(i);
if(!child.is('img')){
child = child.find('img:first');
}
if (settings.controlNavThumbsFromRel) {
nivoControl.append('<a class="nivo-control" rel="'+ i +'"><img src="'+ child.attr('rel') + '" alt="" /></a>');
} else {
nivoControl.append('<a class="nivo-control" rel="'+ i +'"><img src="'+ child.attr('src').replace(settings.controlNavThumbsSearch, settings.controlNavThumbsReplace) +'" alt="" /></a>');
}
} else {
nivoControl.append('<a class="nivo-control" rel="'+ i +'">'+ (i + 1) +'</a>');
}
}
//Set initial active link
$('.nivo-controlNav a:eq('+ vars.currentSlide +')', slider).addClass('active');
$('.nivo-controlNav a', slider).live('click', function(){
if(vars.running) return false;
if($(this).hasClass('active')) return false;
clearInterval(timer);
timer = '';
slider.css('background','url("'+ vars.currentImage.attr('src') +'") no-repeat');
vars.currentSlide = $(this).attr('rel') - 1;
nivoRun(slider, kids, settings, 'control');
});
}
//Keyboard Navigation
if(settings.keyboardNav){
$(window).keypress(function(event){
//Left
if(event.keyCode == '37'){
if(vars.running) return false;
clearInterval(timer);
timer = '';
vars.currentSlide-=2;
nivoRun(slider, kids, settings, 'prev');
}
//Right
if(event.keyCode == '39'){
if(vars.running) return false;
clearInterval(timer);
timer = '';
nivoRun(slider, kids, settings, 'next');
}
});
}
//For pauseOnHover setting
if(settings.pauseOnHover){
slider.hover(function(){
vars.paused = true;
clearInterval(timer);
timer = '';
}, function(){
vars.paused = false;
//Restart the timer
if(timer == '' && !settings.manualAdvance){
timer = setInterval(function(){ nivoRun(slider, kids, settings, false); }, settings.pauseTime);
}
});
}
//Event when Animation finishes
slider.bind('nivo:animFinished', function(){
vars.running = false;
//Hide child links
$(kids).each(function(){
if($(this).is('a')){
$(this).css('display','none');
}
});
//Show current link
if($(kids[vars.currentSlide]).is('a')){
$(kids[vars.currentSlide]).css('display','block');
}
//Restart the timer
if(timer == '' && !vars.paused && !settings.manualAdvance){
timer = setInterval(function(){ nivoRun(slider, kids, settings, false); }, settings.pauseTime);
}
//Trigger the afterChange callback
settings.afterChange.call(this);
});
// Add slices for slice animations
var createSlices = function(slider, settings, vars){
for(var i = 0; i < settings.slices; i++){
var sliceWidth = Math.round(slider.width()/settings.slices);
if(i == settings.slices-1){
slider.append(
$('<div class="nivo-slice"></div>').css({
left:(sliceWidth*i)+'px', width:(slider.width()-(sliceWidth*i))+'px',
height:'0px',
opacity:'0',
background: 'url("'+ vars.currentImage.attr('src') +'") no-repeat -'+ ((sliceWidth + (i * sliceWidth)) - sliceWidth) +'px 0%'
})
);
} else {
slider.append(
$('<div class="nivo-slice"></div>').css({
left:(sliceWidth*i)+'px', width:sliceWidth+'px',
height:'0px',
opacity:'0',
background: 'url("'+ vars.currentImage.attr('src') +'") no-repeat -'+ ((sliceWidth + (i * sliceWidth)) - sliceWidth) +'px 0%'
})
);
}
}
}
// Add boxes for box animations
var createBoxes = function(slider, settings, vars){
var boxWidth = Math.round(slider.width()/settings.boxCols);
var boxHeight = Math.round(slider.height()/settings.boxRows);
for(var rows = 0; rows < settings.boxRows; rows++){
for(var cols = 0; cols < settings.boxCols; cols++){
if(cols == settings.boxCols-1){
slider.append(
$('<div class="nivo-box"></div>').css({
opacity:0,
left:(boxWidth*cols)+'px',
top:(boxHeight*rows)+'px',
width:(slider.width()-(boxWidth*cols))+'px',
height:boxHeight+'px',
background: 'url("'+ vars.currentImage.attr('src') +'") no-repeat -'+ ((boxWidth + (cols * boxWidth)) - boxWidth) +'px -'+ ((boxHeight + (rows * boxHeight)) - boxHeight) +'px'
})
);
} else {
slider.append(
$('<div class="nivo-box"></div>').css({
opacity:0,
left:(boxWidth*cols)+'px',
top:(boxHeight*rows)+'px',
width:boxWidth+'px',
height:boxHeight+'px',
background: 'url("'+ vars.currentImage.attr('src') +'") no-repeat -'+ ((boxWidth + (cols * boxWidth)) - boxWidth) +'px -'+ ((boxHeight + (rows * boxHeight)) - boxHeight) +'px'
})
);
}
}
}
}
// Private run method
var nivoRun = function(slider, kids, settings, nudge){
//Get our vars
var vars = slider.data('nivo:vars');
//Trigger the lastSlide callback
if(vars && (vars.currentSlide == vars.totalSlides - 1)){
settings.lastSlide.call(this);
}
// Stop
if((!vars || vars.stop) && !nudge) return false;
//Trigger the beforeChange callback
settings.beforeChange.call(this);
//Set current background before change
if(!nudge){
slider.css('background','url("'+ vars.currentImage.attr('src') +'") no-repeat');
} else {
if(nudge == 'prev'){
slider.css('background','url("'+ vars.currentImage.attr('src') +'") no-repeat');
}
if(nudge == 'next'){
slider.css('background','url("'+ vars.currentImage.attr('src') +'") no-repeat');
}
}
vars.currentSlide++;
//Trigger the slideshowEnd callback
if(vars.currentSlide == vars.totalSlides){
vars.currentSlide = 0;
settings.slideshowEnd.call(this);
}
if(vars.currentSlide < 0) vars.currentSlide = (vars.totalSlides - 1);
//Set vars.currentImage
if($(kids[vars.currentSlide]).is('img')){
vars.currentImage = $(kids[vars.currentSlide]);
} else {
vars.currentImage = $(kids[vars.currentSlide]).find('img:first');
}
//Set active links
if(settings.controlNav){
$('.nivo-controlNav a', slider).removeClass('active');
$('.nivo-controlNav a:eq('+ vars.currentSlide +')', slider).addClass('active');
}
//Process caption
processCaption(settings);
// Remove any slices from last transition
$('.nivo-slice', slider).remove();
// Remove any boxes from last transition
$('.nivo-box', slider).remove();
if(settings.effect == 'random'){
var anims = new Array('sliceDownRight','sliceDownLeft','sliceUpRight','sliceUpLeft','sliceUpDown','sliceUpDownLeft','fold','fade',
'boxRandom','boxRain','boxRainReverse','boxRainGrow','boxRainGrowReverse');
vars.randAnim = anims[Math.floor(Math.random()*(anims.length + 1))];
if(vars.randAnim == undefined) vars.randAnim = 'fade';
}
//Run random effect from specified set (eg: effect:'fold,fade')
if(settings.effect.indexOf(',') != -1){
var anims = settings.effect.split(',');
vars.randAnim = anims[Math.floor(Math.random()*(anims.length))];
if(vars.randAnim == undefined) vars.randAnim = 'fade';
}
//Run effects
vars.running = true;
if(settings.effect == 'sliceDown' || settings.effect == 'sliceDownRight' || vars.randAnim == 'sliceDownRight' ||
settings.effect == 'sliceDownLeft' || vars.randAnim == 'sliceDownLeft'){
createSlices(slider, settings, vars);
var timeBuff = 0;
var i = 0;
var slices = $('.nivo-slice', slider);
if(settings.effect == 'sliceDownLeft' || vars.randAnim == 'sliceDownLeft') slices = $('.nivo-slice', slider)._reverse();
slices.each(function(){
var slice = $(this);
slice.css({ 'top': '0px' });
if(i == settings.slices-1){
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + timeBuff));
} else {
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed);
}, (100 + timeBuff));
}
timeBuff += 50;
i++;
});
}
else if(settings.effect == 'sliceUp' || settings.effect == 'sliceUpRight' || vars.randAnim == 'sliceUpRight' ||
settings.effect == 'sliceUpLeft' || vars.randAnim == 'sliceUpLeft'){
createSlices(slider, settings, vars);
var timeBuff = 0;
var i = 0;
var slices = $('.nivo-slice', slider);
if(settings.effect == 'sliceUpLeft' || vars.randAnim == 'sliceUpLeft') slices = $('.nivo-slice', slider)._reverse();
slices.each(function(){
var slice = $(this);
slice.css({ 'bottom': '0px' });
if(i == settings.slices-1){
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + timeBuff));
} else {
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed);
}, (100 + timeBuff));
}
timeBuff += 50;
i++;
});
}
else if(settings.effect == 'sliceUpDown' || settings.effect == 'sliceUpDownRight' || vars.randAnim == 'sliceUpDown' ||
settings.effect == 'sliceUpDownLeft' || vars.randAnim == 'sliceUpDownLeft'){
createSlices(slider, settings, vars);
var timeBuff = 0;
var i = 0;
var v = 0;
var slices = $('.nivo-slice', slider);
if(settings.effect == 'sliceUpDownLeft' || vars.randAnim == 'sliceUpDownLeft') slices = $('.nivo-slice', slider)._reverse();
slices.each(function(){
var slice = $(this);
if(i == 0){
slice.css('top','0px');
i++;
} else {
slice.css('bottom','0px');
i = 0;
}
if(v == settings.slices-1){
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + timeBuff));
} else {
setTimeout(function(){
slice.animate({ height:'100%', opacity:'1.0' }, settings.animSpeed);
}, (100 + timeBuff));
}
timeBuff += 50;
v++;
});
}
else if(settings.effect == 'fold' || vars.randAnim == 'fold'){
createSlices(slider, settings, vars);
var timeBuff = 0;
var i = 0;
$('.nivo-slice', slider).each(function(){
var slice = $(this);
var origWidth = slice.width();
slice.css({ top:'0px', height:'100%', width:'0px' });
if(i == settings.slices-1){
setTimeout(function(){
slice.animate({ width:origWidth, opacity:'1.0' }, settings.animSpeed, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + timeBuff));
} else {
setTimeout(function(){
slice.animate({ width:origWidth, opacity:'1.0' }, settings.animSpeed);
}, (100 + timeBuff));
}
timeBuff += 50;
i++;
});
}
else if(settings.effect == 'fade' || vars.randAnim == 'fade'){
createSlices(slider, settings, vars);
var firstSlice = $('.nivo-slice:first', slider);
firstSlice.css({
'height': '100%',
'width': slider.width() + 'px'
});
firstSlice.animate({ opacity:'1.0' }, (settings.animSpeed*2), '', function(){ slider.trigger('nivo:animFinished'); });
}
else if(settings.effect == 'slideInRight' || vars.randAnim == 'slideInRight'){
createSlices(slider, settings, vars);
var firstSlice = $('.nivo-slice:first', slider);
firstSlice.css({
'height': '100%',
'width': '0px',
'opacity': '1'
});
firstSlice.animate({ width: slider.width() + 'px' }, (settings.animSpeed*2), '', function(){ slider.trigger('nivo:animFinished'); });
}
else if(settings.effect == 'slideInLeft' || vars.randAnim == 'slideInLeft'){
createSlices(slider, settings, vars);
var firstSlice = $('.nivo-slice:first', slider);
firstSlice.css({
'height': '100%',
'width': '0px',
'opacity': '1',
'left': '',
'right': '0px'
});
firstSlice.animate({ width: slider.width() + 'px' }, (settings.animSpeed*2), '', function(){
// Reset positioning
firstSlice.css({
'left': '0px',
'right': ''
});
slider.trigger('nivo:animFinished');
});
}
else if(settings.effect == 'boxRandom' || vars.randAnim == 'boxRandom'){
createBoxes(slider, settings, vars);
var totalBoxes = settings.boxCols * settings.boxRows;
var i = 0;
var timeBuff = 0;
var boxes = shuffle($('.nivo-box', slider));
boxes.each(function(){
var box = $(this);
if(i == totalBoxes-1){
setTimeout(function(){
box.animate({ opacity:'1' }, settings.animSpeed, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + timeBuff));
} else {
setTimeout(function(){
box.animate({ opacity:'1' }, settings.animSpeed);
}, (100 + timeBuff));
}
timeBuff += 20;
i++;
});
}
else if(settings.effect == 'boxRain' || vars.randAnim == 'boxRain' || settings.effect == 'boxRainReverse' || vars.randAnim == 'boxRainReverse' ||
settings.effect == 'boxRainGrow' || vars.randAnim == 'boxRainGrow' || settings.effect == 'boxRainGrowReverse' || vars.randAnim == 'boxRainGrowReverse'){
createBoxes(slider, settings, vars);
var totalBoxes = settings.boxCols * settings.boxRows;
var i = 0;
var timeBuff = 0;
// Split boxes into 2D array
var rowIndex = 0;
var colIndex = 0;
var box2Darr = new Array();
box2Darr[rowIndex] = new Array();
var boxes = $('.nivo-box', slider);
if(settings.effect == 'boxRainReverse' || vars.randAnim == 'boxRainReverse' ||
settings.effect == 'boxRainGrowReverse' || vars.randAnim == 'boxRainGrowReverse'){
boxes = $('.nivo-box', slider)._reverse();
}
boxes.each(function(){
box2Darr[rowIndex][colIndex] = $(this);
colIndex++;
if(colIndex == settings.boxCols){
rowIndex++;
colIndex = 0;
box2Darr[rowIndex] = new Array();
}
});
// Run animation
for(var cols = 0; cols < (settings.boxCols * 2); cols++){
var prevCol = cols;
for(var rows = 0; rows < settings.boxRows; rows++){
if(prevCol >= 0 && prevCol < settings.boxCols){
/* Due to some weird JS bug with loop vars
being used in setTimeout, this is wrapped
with an anonymous function call */
(function(row, col, time, i, totalBoxes) {
var box = $(box2Darr[row][col]);
var w = box.width();
var h = box.height();
if(settings.effect == 'boxRainGrow' || vars.randAnim == 'boxRainGrow' ||
settings.effect == 'boxRainGrowReverse' || vars.randAnim == 'boxRainGrowReverse'){
box.width(0).height(0);
}
if(i == totalBoxes-1){
setTimeout(function(){
box.animate({ opacity:'1', width:w, height:h }, settings.animSpeed/1.3, '', function(){ slider.trigger('nivo:animFinished'); });
}, (100 + time));
} else {
setTimeout(function(){
box.animate({ opacity:'1', width:w, height:h }, settings.animSpeed/1.3);
}, (100 + time));
}
})(rows, prevCol, timeBuff, i, totalBoxes);
i++;
}
prevCol--;
}
timeBuff += 100;
}
}
}
// Shuffle an array
var shuffle = function(arr){
for(var j, x, i = arr.length; i; j = parseInt(Math.random() * i), x = arr[--i], arr[i] = arr[j], arr[j] = x);
return arr;
}
// For debugging
var trace = function(msg){
if (this.console && typeof console.log != "undefined")
console.log(msg);
}
// Start / Stop
this.stop = function(){
if(!$(element).data('nivo:vars').stop){
$(element).data('nivo:vars').stop = true;
trace('Stop Slider');
}
}
this.start = function(){
if($(element).data('nivo:vars').stop){
$(element).data('nivo:vars').stop = false;
trace('Start Slider');
}
}
//Trigger the afterLoad callback
settings.afterLoad.call(this);
return this;
};
$.fn.nivoSlider = function(options) {
return this.each(function(key, value){
var element = $(this);
// Return early if this element already has a plugin instance
if (element.data('nivoslider')) return element.data('nivoslider');
// Pass options to plugin constructor
var nivoslider = new NivoSlider(this, options);
// Store plugin object in this element's data
element.data('nivoslider', nivoslider);
});
};
//Default settings
$.fn.nivoSlider.defaults = {
effect: 'random',
slices: 15,
boxCols: 8,
boxRows: 4,
animSpeed: 500,
pauseTime: 3000,
startSlide: 0,
directionNav: true,
directionNavHide: true,
controlNav: true,
controlNavThumbs: false,
controlNavThumbsFromRel: false,
controlNavThumbsSearch: '.jpg',
controlNavThumbsReplace: '_thumb.jpg',
keyboardNav: true,
pauseOnHover: true,
manualAdvance: false,
captionOpacity: 1.0,
prevText: 'Prev',
nextText: 'Next',
beforeChange: function(){},
afterChange: function(){},
slideshowEnd: function(){},
lastSlide: function(){},
afterLoad: function(){}
};
$.fn._reverse = [].reverse;
})(jQuery);
最佳答案
我使用了错误版本的 jQuery。我现在使用的是 1.5.2 版本。
关于nivo slider 的 Javascript 问题，我们在Stack Overflow上找到一个类似的问题： https://stackoverflow.com/questions/14370293/
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由于fast-stemmer的问题，我很难安装我想要的任何rubygem。我把我得到的错误放在下面。Buildingnativeextensions.Thiscouldtakeawhile...ERROR:Errorinstallingfast-stemmer:ERROR:Failedtobuildgemnativeextension./System/Library/Frameworks/Ruby.framework/Versions/2.0/usr/bin/rubyextconf.rbcreatingMakefilemake"DESTDIR="cleanmake"DESTDIR=
当我尝试安装Ruby时遇到此错误。我试过查看this和this但无济于事➜~brewinstallrubyWarning:YouareusingOSX10.12.Wedonotprovidesupportforthispre-releaseversion.Youmayencounterbuildfailuresorotherbreakages.Pleasecreatepull-requestsinsteadoffilingissues.==>Installingdependenciesforruby:readline,libyaml,makedepend==>Installingrub
我正在尝试使用boilerpipe来自JRuby。我看过guide从JRuby调用Java，并成功地将它与另一个Java包一起使用，但无法弄清楚为什么同样的东西不能用于boilerpipe。我正在尝试基本上从JRuby中执行与此Java等效的操作:URLurl=newURL("http://www.example.com/some-location/index.html");Stringtext=ArticleExtractor.INSTANCE.getText(url);在JRuby中试过这个:require'java'url=java.net.URL.new("http://www
我意识到这可能是一个非常基本的问题，但我现在已经花了几天时间回过头来解决这个问题，但出于某种原因，Google就是没有帮助我。(我认为部分问题在于我是一个初学者，我不知道该问什么......)我也看过O'Reilly的RubyCookbook和RailsAPI，但我仍然停留在这个问题上.我找到了一些关于多态关系的信息，但它似乎不是我需要的(尽管如果我错了请告诉我)。我正在尝试调整MichaelHartl'stutorial创建一个包含用户、文章和评论的博客应用程序(不使用脚手架)。我希望评论既属于用户又属于文章。我的主要问题是:我不知道如何将当前文章的ID放入评论Controller。
首先回顾一下拉格朗日定理的内容：函数f(x)是在闭区间[a,b]上连续、开区间(a,b)上可导的函数，那么至少存在一个，使得:通过这个表达式我们可以知道，f(x)是函数的主体，a和b可以看作是主体函数f(x)中所取的两个值。那么可以有， 也就意味着我们可以用来替换 这种替换可以用在求某些多项式差的极限中。方法： 外层函数f(x)是一致的，并且h(x)和g(x)是等价无穷小。此时，利用拉格朗日定理，将原式替换为 ，再进行求解，往往会省去复合函数求极限的很多麻烦。使用要注意：1.要先找到主体函数f(x)，即外层函数必须相同。2.f(x)找到后，复合部分是等价无穷小。3.要满足作差的形式。如果是加
SPI接收数据左移一位问题目录SPI接收数据左移一位问题一、问题描述二、问题分析三、探究原理四、经验总结最近在工作在学习调试SPI的过程中遇到一个问题——接收数据整体向左移了一位（1bit）。SPI数据收发是数据交换，因此接收数据时从第二个字节开始才是有效数据，也就是数据整体向右移一个字节（1byte）。请教前辈之后也没有得到解决，通过在网上查阅前人经验终于解决问题，所以写一个避坑经验总结。实际背景：MCU与一款芯片使用spi通信，MCU作为主机，芯片作为从机。这款芯片采用的是它规定的六线SPI，多了两根线：RDY和INT，这样从机就可以主动请求主机给主机发送数据了。一、问题描述根据从机芯片手
文章目录git常用命令（简介，详细参数往下看）Git提交代码步骤gitpullgitstatusgitaddgitcommitgitpushgit代码冲突合并问题方法一：放弃本地代码方法二：合并代码常用命令以及详细参数gitadd将文件添加到仓库：gitdiff比较文件异同gitlog查看历史记录gitreset代码回滚版本库相关操作远程仓库相关操作分支相关操作创建分支查看分支：gitbranch合并分支：gitmerge删除分支：gitbranch-ddev查看分支合并图：gitlog–graph–pretty=oneline–abbrev-commit撤消某次提交git用户名密码相关配置g