为四色问题的非计算机证明找到了一个新的途径。
It leads to a new way to find the non-computer-aided proof for four-color conjecture.
同时，也对四色问题与初等几何定理证明作了简单的讨论。
Additionally, the well-known four colour problem and elementary geometry theorem-proving problem have been discussed.
利用干燥剂包埋技术及不同化学溶液前处理的方法，研究了玫瑰干花制作过程中的护形和护色问题。
By using drier-packing ways and different pre-handling methods of soaking the flowers in chemic solution, the problems of Keeping shape and Keeping color have researched.
如果健康概览视图上出现一个红色或琥珀色问题指示器，您可以从overviewDashboard迅速获取关于该系统的更多信息，如图2所示。
When you see a red or amber problem indicator on the health overview, you can quickly get more information about that system from the overview Dashboard, as shown in Figure 2.
他画了五颜六色的海报，上面突出展现着他的沙堡和问题：“你能超越这个吗？”
He painted colorful posters featuring (突出) his sandcastle and the question, "Can you top this?"
现在的问题是我们可能不想让计分板在显示的数值没有变化时仍旧五颜六色地闪个不停。
The problem here is that we probably don't want the scoreboard to flash with pretty colors when the number displayed doesn't change.
但是不可调光、闪灯还有灯色少这些问题依旧存在。
色雷斯其他地方的奶牛饲养方式与Balabancik村的情况大致相同，几天之内，其他村庄的管区兽医也报告了同样的问题。
Dairy farming in the rest of Thrace is conducted in much the same way as it is in Balabancik, and within a couple of days district vets in other villages were reporting problems too.
还请注意，红、黄、绿三色的过滤器可用于去除没有问题的对象(这些是DB 2V8.1.3的新增特性)。
Also note the red, yellow, and green filters that you can use to remove objects without issues (these were new in DB2 V8.1.2).
我希望他能够处理阿肯色州的乡村地区在医疗保健渠道和质量方面的严重问题。
I wanted him to deal with the serious problems of health-care access and quality in Arkansas rural areas.
它也可能导致经理人在错误的问题上浪费时间，例如，处理他们这一角色中的并不重要的弱点。
It can prompt managers to waste time on the wrong issues by, for example, addressing weaknesses that are unimportant in their current roles.
然而这一角色通常与期望学术界解决现实相关问题的愿景，或者从工业界获得资助的目的相矛盾。
But this is often at odds with the desire for academics to work on "industry relevant" problems, as well as to get funding from industry.
他说架构师这一角色中，最大的两个问题是架构师不能度量或量化他们组织目前存在的问题，而且大部分架构师害怕改变。
He said that the two main issues with architects in this role are that they can't measure or quantify the issues their organization currently has and that many of the architects fear change.
怎样为了最美的一刻，挑选一件独树一色的婚纱，恐怕是绝大多数新娘要面对的问题。
How to choose the bride wedding dress color, wear clothing with the most beautiful moment, presumably most of the problems faced by the bride to be.
然而，在经济和社会生活中，黑人的状况依然远不如白人，高贫困率，高犯罪率以及形形色色严重的社会问题。
In social and economic matters across the black population as a whole, however, blacks are still much worse off than whites. They endure far greater rates of poverty, crime and other social ills.
美国的大城市形形色色，却有许多共同的问题。
The largest American cities are a diverse group, but they share certain problems.
弥尔顿的立场——我下面要读，-弥尔顿关于贞操的报偿这一问题的立场，通过《科玛斯》中的哥哥这一角色表达出来。
The position that Milton — this is how I like to read it - the position that Milton would like to be able to take on this question of virtue's reward is formulated by the Elder Brother in Comus.
IBM在教室以外培养他们未来的全球化商界精英，派遣形形色色的团队前往人生地不熟的异国他乡去解决极具挑战性的问题。
IBM educates future global leaders outside classrooms, sending diverse teams to unfamiliar countries to tackle tough challenges.
针对小样仿色和大样生产之间存在的问题，进行了有益的探讨并提出了具体的解决办法。
Showing the existing problems to the laboratory sample colour imitation and the large-scale commercial production, the author carried out an useful exploration and proposed concrete solving methods.
在2002年之前，这不是问题，因此那时每个军人只有两种选择- - -绿色迷彩服或者咖色沙漠迷彩。
This caused no problems before 2002, when nearly every serviceman had a choice between a greenish camouflage uniform or a "coffee stain" desert pattern.
一不留意，繁育山鸟色边牧就会导致健康问题。
Breeding merles can result in health problems when one doesn't watch out.
本文对利用多色场的相对相位控制原子的自发辐射问题进行了讨论，并得到了一定的结论。
In this paper, the control of the atomic spontaneous emission is discussed by using the relative phase difference of the polychromatic field and certain results are obtained.
当然，这听起来太傻了，但这大抵就是许多人对生活中浮现的形形色色的问题做出的反应。
Of course that sounds silly, but this is precisely how many people react to the various problems that surface in their lives.
为了解决由烟或气所引起的信号衰减问题，研制出了双色高温计。
Two color pyrometers were developed to solve the problem of signal attenuation by intervening smoke or fumes.
本文主要研究了柔性版印刷呈色数学模型的建立问题。
This paper mainly discusses the problem of how to establish mathematical model of Flexography.
以极大平面图的结构研究为基础，采用常规的数学推理方法研究极大平面图的点色数问题。
Based on the study of the structure of maximum plane graph, with normal mathematic reasoning, this thesis studied the color number problem of maximum plane graph.
在形形色色的环境问题当中，水资源问题无疑是当今乃至今后相当长一段时间内人类所面临的最严峻的一个环境问题和社会问题。
Among the varied environmental problems, the water resource problems is undoubtedly the most severe environmental problem and social concern nowadays and even in the future that the mankind face.
在形形色色的环境问题当中，水资源问题无疑是当今乃至今后相当长一段时间内人类所面临的最严峻的一个环境问题和社会问题。
Among the varied environmental problems, the water resource problems is undoubtedly the most severe environmental problem and social concern nowadays and even in the future that the mankind face.
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