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Key	English	Chinese (Simplified)
DistanceBetweenTwoPointsMetaVideoTags	math, algebra, tiger-algebra, e-learning, distance, between two points	数学, 代数, 老虎代数, 电子学习, 距离, 两点之间
MetaTitleLinearInequalityOneUknown_Video	Solving Linear Inequalities: {0}	解决线性不等式：{0}
MetaDescriptionLinearInequalityOneUknown_Video	Struggling with {0}? Watch our step-by-step video on Tiger Algebra to master this linear inequality effortlessly. Also, check out https://www.tiger-algebra.com{1} for more tips and tricks	{0} 使你挠头？在老虎代数上看我们的步骤-by-步骤视频，轻松掌握这个线性不等式。另外，访问 https://www.tiger-algebra.com{1} 获取更多技巧和窍门
MetaVideoTagsMSLIUS	math, algebra, tiger-algebra, e-learning, linear inequality with one unknown	数学, 代数, 老虎代数, 电子学习, 单一变量的线性不等式
MidpointCalculatorMetaVideoTags	math, algebra, tiger-algebra, e-learning, midpoint, between two points	数学, 代数, 老虎代数, 电子学习, 中点, 两点之间
MidpointCalculatorMetaVideoTitle	Find the midpoint between two points p1 {0} and p2 {1}: Step-by-Step Video Solution	找出两点p1 {0} 及 p2 {1} 之间的中点：逐步视频解答
MidpointCalculatorMetaVideoDescription	See how to easily find the midpoint between two points p1 {0} and p2 {1} with our clear, step-by-step video guide on Tiger Algebra. Also, check out https://www.tiger-algebra.com{2} for more tips and tricks	在老虎代数上，看看如何轻松找出两点p1 {0} 和p2 {1} 之间的中点，我们有详细的逐步视频指南。另外，访问 https://www.tiger-algebra.com{2} 获取更多技巧和窍门
MetaDescriptionMsOperationsWithFractions_Video	Struggling with {0}? Watch our step-by-step video on Tiger Algebra to master operations with fractions effortlessly. Also, check out https://www.tiger-algebra.com{1}	{0} 使你苦恼？在老虎代数上，看我们的步骤-by-步骤视频，轻松掌握分数运算。另外，访问 https://www.tiger-algebra.com{1}
MetaTitleMsOperationsWithFractions_Video	Solve {0}: Operations with fractions Video Solution \| Tiger Algebra	解答 {0}：分数运算视频解答 \| 老虎代数
MetaVideoTagsMsOperationsWithFractions	math, algebra, tiger-algebra, e-learning, fractions, operations with fractions	数学, 代数, 老虎代数, 电子学习, 分数, 分数运算
VIDEO_VOICE_AND	and	和
MidpointStep1FindXFinal	and so the X coordinate of the midpoint is: {Step1PointXm}	所以中点的X坐标是: {Step1PointXm}
MidpointStep1FindYFinal	and so the Y coordinate of the midpoint is: {Step1PointYm}	所以中点的Y坐标是：{Step1PointYm}
HomepageVideoLink	Discover more great Algebra content	发现更多精彩的代数内容
NTTextSolveExponents	Simplify numbers raised to exponents	简化指数的数字
POINT_COORD_SEPARATOR	,	;
DistanceBetweenTwoPointsSolverNTPythagoreanTheoremNT	First, take the square root of both sides of the Pythagorean theorem.	首先，对勾股定理的两侧取平方根。
DistanceBetweenTwoPointsSolverNTPythagoreanTheoremNT2	This gives us the distance formula.	这就得出了距离公式。
DistanceNTX1	{Step1Point1X1Equals}	{Step1Point1X1Equals}
VIDEO_VOICE_THE	the	的
MsLinearInequalitiesOneUnknownSolverSpokenDescription	This deals with linear inequalities with one unknown	这涉及到含有一个未知数的线性不等式
YT_META_GREATER_THAN	is Greater Than	大于
YT_META_EQUAL_GREATER_THAN	is Greater Than or Equal to	大于或等于
YT_META_SMALLER_THAN	is Smaller Than	小于
YT_META_EQUAL_SMALLER_THAN	is Smaller Than or Equal to	小于或等于
GCFSolverStep1SingleNumber	The greatest common factor (GCF) of a single number, like {StepFinalResult}, is just the number itself: This is because any number is its own largest factor when there’s no second number to compare it to.	对于单个数值，如{StepFinalResult}，它的最大公因数（GCF）就是它自己：这是因为当没有第二个数可以比较时，任何数都是它自己的最大因数。
culture_pl	Polish \| Polski	波兰语 \| Polski
culture_sw	Swahili \| Kiswahili	斯瓦希里语 \| Kiswahili
culture_uk	Ukrainian \| Українська	乌克兰语 \| Українська
culture_ro	Romanian \| Română	罗马尼亚语 \| Română
SolverNotAvailableInUK	Незабаром це рішення буде доступне українською мовою.	这个解决方案很快就会有乌克兰语版本。

Key	English	Chinese (Simplified)
Percent	Percent	百分之
Percentage	Percentages	百分比
PercentageTopic	Percentages	百分比
PercentContent	Percentages are ratios, meaning they represent parts of a whole. The word "cent" comes from the Latin word "centum" which means "hundred," so when we say "per_cent", we actually mean per one hundred. For example, five percent, written as 5% is five per, or "out of", one hundred. Another way to express the ratio is as a fraction, in this case, <math>5/100</math>, which can be turned into a percentage by dividing the part by the whole. Dividing <math>5/100</math> would give us 0.05 or 5%. Percentages can also be bigger than the whole. For example, 120 percent (120%) is 120 out of a hundred.<br><br>But what about when we want to figure out the exact number that a percentage represents? For example, if we know that 5% of the students in our class got A's on a test and we know that there are twenty students in the class, how do we figure out how many students in the class got A's? Our first clue is that there are a total of twenty students in the class, meaning twenty is equal to 100%. If 5% is equal to <math>5/100</math> and we are looking for 5% of twenty, then we can simply multiply <math>5/100</math> by twenty to get the answer, one. So, one student in the class got an A on their test. It is worth noting that we could have also gotten the result by first converting <math>5/100</math> to a decimal, by dividing five by one-hundred and multiplying the result, 0.05, by twenty.	百分比是一种比率，它代表整体的一部分。词"cent"来源于拉丁词"centum"，意为"百"，因此，当我们说"per_cent"时，我们实际上是指每一百。例如，五百分之五，写作5%是指每一百的五部分，或者说"对于一百来说，有五部分"。表达这个比例的另一种方式是将其写作一种分数，假设这种情况下是<math>5/100</math>，然后可以通过将部分除以全体的方式将其转换为百分比。将<math>5/100</math>进行除法运算，得到的结果是0.05或5%。百分比也可以比整体要大。例如，百分之一百二十（即120%）是指一百个里面的一百二十个。<br><br>但是，如果我们想找到实际数值，该怎么办？例如，如果我们知道我们班上5%的学生在考试中得到了A级，并且我们知道班上有二十名学生，那我们如何才能确定有多少名学生在考试中得到了A级？我们第一个线索是班上有二十名学生，这意味着百分之一百等于二十。如果5%等于<math>5/100</math>，并且我们要找的是占二十名学生中的5%，那么我们只需将<math>5/100</math>乘以二十就可得到答案，即一。也就是说，班级中有一名学生在考试中得到了A级。我们也可以先将<math>5/100</math>转换为一个小数，即把五除以一百，然后把结果0.05乘以二十。
Percents	Percentage	百分比
Percents.plugin	percentages	百分比
PercentsStep1Case2Explanation	To calculate {Step1Input} percent of a number, multiply the decimal or fraction percentage value by that number. (for example 100)	要计算一个数字的 {Step1Input} 百分比，把小数或分数百分比的值乘以那个数字。（例如100）
PercentsStep1Case2Title	Calculate {Step1Input} percent of a number	计算一个数字的 {Step1Input} 百分比
PercentsStep1TextUnit1	For fraction: divide {Step1Input} by 100 and remove the % sign.<br> <math>{Step1Formula1}</math> <br><br> For decimal: move the decimal point 2 places to the left and remove the % sign.<br> <math>{Step1Formula2}</math>	对于分数：将{Step1Input}除以100并删除％符号。<br> <math>{Step1Formula1}</math> <br><br> 对于小数：将小数点向左移动2位并删除％符号。<br> <math>{Step1Formula2}</math>
PercentsStep1Title	Convert percentages into fractions or decimals	将百分比转换为分数或小数
PercentsStep2TextUnit1	<math>{Step2PercentExpression}</math><br> <math>{Step2PercentExpressionResolved}</math><br><br> {Step2Input}% of {Step2Input2} is {Step2Result}	<math>{Step2PercentExpression}</math><br> <math>{Step2PercentExpressionResolved}</math><br><br> {Step2Input}%的{Step2Input2}是{Step2Result}
PercentsStep2Title	Multiply the decimal or fraction by the quantity that equals 100%	将小数或分数乘以等于100%的量
Pi	Pi	圆周率
PiContent	<div style="white-space: normal;"> <p>Pi (<math>\pi</math>) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction.</p> <h2>Value of Pi</h2> <p>The value of pi is approximately 3.14159, but it is an infinitely long decimal with no repeating pattern. It is often approximated as <math>\pi \approx 3.14</math> for practical calculations.</p> <h2>Properties of Pi</h2> <ul> <li>Pi is a transcendental number, meaning it is not the root of any non-zero polynomial equation with rational coefficients.</li> <li>It is involved in many mathematical formulas and equations, including those in geometry, trigonometry, calculus, and physics.</li> <li>Pi is an important constant in the field of mathematics and has been studied and approximated for thousands of years.</li> </ul> <h2>History</h2> <p>The ancient Egyptians and Babylonians were among the first civilizations to approximate the value of pi. However, it was the Greek mathematician Archimedes who provided one of the earliest rigorous approximations of pi using inscribed and circumscribed polygons.</p> <p>The symbol <math>\pi</math> was first used by Welsh mathematician William Jones in 1706, and it was popularized by Swiss mathematician Leonhard Euler in the 18th century.</p> <p>Pi has since become one of the most well-known and studied mathematical constants, with its digits computed to trillions of decimal places using modern computational techniques.</p> </div>	数学常数Pi是一个重要的概念，它是一个圆的周长与直径的比值，常被近似为3.14159。
PiTopic	Pi	圆周率
POINT_COORD_SEPARATOR	,	;
PolynomialDivision	Polynomial division	多项式除法
PolynomialDivisionContent	Divide one polynomial by another and produce quotient and remainder with structured steps.	将一个多项式除以另一个多项式, 并通过结构化步骤得到商和余数。
PolynomialDivision.plugin	polynomial division solver	多项式除法求解器
PolynomialDivisionStep1TextUnit1	Parse the dividend and divisor polynomials and normalize their terms for long division.	解析被除式与除式多项式, 并规范各项以进行长除法。
PolynomialDivisionStep1Title1	Read dividend and divisor	读取被除式与除式
PolynomialDivisionStep2TextUnit1	Apply divide, multiply, and subtract cycles to compute quotient and remainder.	应用除, 乘, 减循环来计算商与余数, 并持续对齐最高次项。
PolynomialDivisionStep2Title1	Perform polynomial division	执行多项式除法
PolynomialDivisionStep3TextUnit1	Return the quotient and, when needed, add remainder divided by the divisor.	返回商, 并在需要时加上余数除以除式的部分, 写成标准结果。
PolynomialDivisionStep3Title1	Write final form	写出最终形式
PolynomialLongDivision	Polynomial long division	多项式长除法
PolynomialLongDivisionContent	<div style="white-space: normal;"> <p>Polynomial long division is a method used to divide polynomials, similar to long division with numbers. It allows us to divide one polynomial by another polynomial to find the quotient and remainder.</p> <h2>Step-by-Step Process</h2> <p>To perform polynomial long division, follow these steps:</p> <ol> <li>Arrange the terms of the dividend and divisor in descending order of their degrees.</li> <li>Divide the leading term of the dividend by the leading term of the divisor to obtain the first term of the quotient.</li> <li>Multiply the entire divisor by the first term of the quotient, and subtract this product from the dividend.</li> <li>Bring down the next term of the dividend, and repeat steps 2 and 3 until all terms have been processed.</li> <li>The resulting expression is the quotient, and any remaining terms constitute the remainder.</li> </ol> <h2>Example</h2> <p>Let's perform polynomial long division for the division <math>(2x^3 + 3x^2 - 4x + 1) ÷ (x - 1)</math>:</p> <ol> <li>Dividend: <math>2x^3 + 3x^2 - 4x + 1</math></li> <li>Divisor: <math>x - 1</math></li> <li>Quotient: <math>2x^2 + 5x + 1</math></li> <li>Remainder: <math>0</math></li> </ol> <p>Therefore, <math>(2x^3 + 3x^2 - 4x + 1) ÷ (x - 1) = 2x^2 + 5x + 1</math>.</p> <p>Polynomial long division is a powerful tool for simplifying polynomial expressions and solving equations.</p> </div>	在代数学中，多项式长除法是一个用于将一个多项式除以相同或较小程度的另一个多项式的算法，这是众所周知的长除法的一个通用版本。其可以很容易地手动完成，因为它将一个否则复杂的除法问题分解成较小的问题。有时候使用一种叫做合成除法的缩写版本会更快，书写更少、计算更少。另一种缩写方法是多项式短除法（Blomqvist的方法）。
PolynomialRootCalculator	Polynomial root calculator	多项式根计算器
PolynomialRootCalculatorContent	Polynomial roots (zeroes) are calculated by applying a set of methods aimed at finding values of n for which f(n)=0. One method uses the Rational Root (or Rational Zero) Test. This is also be referred to as the Rational Root (or Rational Zero) Theorem or the p/q theorem. Regardless of its name, it only finds rational roots that are the number n that can be expressed as the quotient of two integers. <br><br> The Rational Root Theorem states that if a polynomial has integer coefficients, then every rational zero of f(x) has the form p/q where p is a factor of the trailing constant a0 and q is a factor of the leading coefficient an. When the leading coefficient is 1, the possible rational zeros are the factors of the constant term. <br><br> Enter your problem into Tiger’s calculator and the step-by-step solution will help you understand how find the roots of a polynomial.	计算多项式的根（零点）是通过一系列方法来找到使f(n)=0的n值。其中一种方法是使用有理根（或有理零）检验。这也可以参阅有理根（或有理零）定理或者p/q定理。无论名字如何，它只能找到可以表示为两个整数的商的数n的有理根。 <br><br> 有理根定理表明如果一个多项式具有整数系数，那么f(x)的每一个有理零都有形式p/q，其中p是末尾常数a0的因子，而q是前导系数an的因子。当前导系数为1时，可能的有理零就是常数项的因子。 <br><br> 在Tiger的计算器中输入你的问题，步骤解答将帮助你理解如何找到多项式的根。
PowerOfI	Powers of i	i的力量

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POINT_COORD_SEPARATOR

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core/TigerAlgebra.Localization/Resources/TigerSharedResource.zh-Hans.resx, string 2512