Gujarat Board GSEB Resource Centre
For Classes 8 to 12

Some info about Inch

Inches are a unique measure that persuades us that even the most minor things can create a significant distinction. When we think of inches, we feel about children measuring their height, peeking for every new Inch on the division. It represents our desire to grow and evolve, striving for more incredible heights. Inches also remind us of the importance of details. Sometimes even a slight change of an inch can make a massive distinction in our lives. That's the magic of inches - they may be tiny, but they make a huge impact. Inches are a source of inspiration for artists, engineers, and anyone who strives for an ideal. They allow us to measure and evaluate the world around us, making it more coherent and effortless.

So recognize the inches in your life. They may be short, but they are the ones that can make your accomplishments great. Inch by Inch, you can achieve anything because even the longest journey begins with the first step, which always consists of inches.

What is mm?

Millimeters, with their incredible precision and minimal size, may seem insignificant, but they play a massive role in our daily life and industry. Millimeters are units of measurement that find their use in many different fields. They help measure length, thickness, width, and even resolution. In medicine, for illustration, mm can determine health status, and in microelectronics, they can ensure the accuracy of microchips.

When we talk about mm, we talk about how even the most minor details matter. After all, mm can determine whether a key will fit in a lock or whether a fastener will be secure. They emphasize the importance of attention to detail.

Millimeters are the measure that has taught us to value precision and to realize that even minor differences can make a big difference. It's a reminder that the potential for outstanding achievements lies even in the tiniest things. So keep an eye on mm - they can be your faithful helpers on the road to success.

How to Convert Inches to mm

There are several methods to convert inches to mm. Let's look at a few opportunities for comfort:

● Multiplication by 25.4: 1 inch to mm = 25.4 mm. You can use a simple multiplier - 25.4 to correct inches to millimeters. Multiply the digit of inches by 25.4, and you will get the identical value in mm. For the model, 1/4 inch is equal to 6.35 mm.

● Utilizing online instruments: Many online services automatically transform in to mm. You must enter the digit of inches, and the converter will display the result in millimeters. This is a handy technique if you need to do some fast transformations.

● Employing transformation plains: You can find tables for inch to mm in different resources. Such tables usually hold the connected values for other Inch to millimeter lengths. You can discover the weight you require in the plain.

● Manually splitting an inch into fractions: If you need to figure an inches to mm more accurately, you can split an inch into fractions. For example, 1/4 inch equals approximately 6.35 mm (25.4 mm / 4).

No matter which method you choose, converting inches to millimeters is easily accomplished through simple mathematical operations or with the help of modern technological tools, making it accessible and convenient in everyday life and professional activities.

You should be familiar with logarithms to understand antilogarithms in a better manner. Logarithms involve determining the power required to raise a given base to obtain a particular number. For example, the logarithm of 10000 with a base 10 is 4, because 10 raised to the power of 4 is equal to 10000.

The Antilogarithms (or Antilog) is the inverse of taking logarithms. The logarithms change numbers into exponents, whereas an antilog performs the inverse operation by converting exponents into numbers. In this article, we will explore the definition of antilog, methods of finding it, and numerous examples with different techniques.

Definition of Antilogarithms

The inverse operation of taking a logarithm is known as antilogarithm. Suppose, x is the logarithm of a number y with base a, then we can say y is the antilogarithm of x to the base a. An Antilog can be defined as, if log _a ^y = x, then, y = antilog _a ^x

The antilogarithm of a number x to the base ‘a’ can be found by raising the base ‘a’ to the power of x. i.e.  y = antilog _a ^x = _a ^x. For example, antilog ₂⁵ = ₂⁵ = 32

Calculation of Antilog

Antilogarithm is determined based on the logarithm numbers. Any logarithmic number has two components: characteristics and mantissa. Characteristic is an integral part that may be positive or negative. Mantissa is a fractional part that is always positive. If the mantissa is negative, it is necessary to convert it to positive. Such as, in the logarithm number 3.3406, 3 is characteristic, and 0.3406 is the mantissa.

Finding Antilog Using Antilog Table To find antilog by using the antilog table, you can follow these steps:

1. Separately write down the mantissa and characteristics of the given logarithmic number.
2. Locate the very left first two digits of the mantissa in the left column and the third digit at the top row of the antilog table. Write the value where both meet inside the antilog table.
3. See the fourth digit of the mantissa at the top row of the means difference, and write the value where the first two digits and fourth digits meet.
4. Add both (step 2 and step 3) obtained values.
5. The characteristic helps us in deciding where the decimal point should be placed.  The decimal point moves to the right from its original place for positive characteristics. While for negative characteristics, the decimal point moves to the left side.

Calculating Antilog without Antilog table

Let’s learn how to determine antilog without an antilog table

1. Find out the base of antilogarithm. The most common base for antilog is 10, but other bases can also be used.
2. Calculate the antilog by raising the base to the exponent of the logarithmic number.
3. The value found in step 2 is an antilog of the logarithm number.

For instance, the antilog of logarithm number 0.5 with a base of 10 is  10^0.5 = 3.1622

Antilog in Calculation.

Log and antilog helps us to simplify the mathematical expressions

• Assign a variable (x, y, or z) to the given expression or number.
• Now, take the logarithm on both sides of the equations.
• Apply the following logarithmic properties to simplify the given expression.

⇒log (A*B) = log A + log B

⇒log (A / B) = log A – log B

⇒log A ⁿ = n log A

• Find the logarithm of each number involved by using a log table or calculator, and simplify the remaining expression.
• Take the antilog on both sides of the equation to get the result of the given expression.

Key Points of Antilog

• The Antilog of 0 is 1.
• Antilogarithms of a negative number are always positive.
• The antilogarithm of a product of two numbers is equal to the addition of the antilogarithms of those two numbers.
• The antilog of a quotient of two numbers is equal to the difference of the antilogarithms of those two numbers.

How to calculate Antilog?

An antilog calculator is a best way to calculate antilog. Here are a few solved examples to learn how to calculate antilog manually.

Example 1:

Determine the antilog of the logarithms number 2.0198 by using the Antilogarithm table.

Solution:

In this example, the Characteristic is 2, and Mantissa is .0198.

Step 1: Locate the very left first 2 digits of the mantissa (.01) in the left column and the third digit (9) at the top row of the antilog table. Write the value where both meet inside the antilog table. Here .01 and 9 meet at 1045.

Step 2: Find the fourth digit of the mantissa (8) at the top row of the means difference. Write down the value where the first two digits (.01) and fourth digits (8) intersect. Both intersect at 2.

Step 3: Add found values in steps 2 and 3. (1045 + 2 = 1047)

Step 4: In the case of a characteristic of 2, you would move the decimal point two places to the right from its original position to get the final antilogarithm result.

Thus, the antilog of the logarithms number 2.0198 is 104.7

Example 2:

Compute the antilog of logarithms -1.2192 number with a base of 10.

Solution:

Antilog₁₀^-1.2192 =?

Antilog (-1.2192) = 10^-1.2192 = 0.0603

So, the Antilogarithm of -1.2192, with a base of ten is 0.0603

Conclusion

In this article, we talked about antilogarithms in depth. We taught how to evaluate antilog with the help of an antilog table and without using its table. We discussed how log and antilog are used in mathematics to simplify problems. We solved some examples with different methods. After reading this article, you can easily calculate the antilog of any logarithm number.

यहां "नाटककार सुरेंद्र वर्मा" पुस्तक की पीडीएफ विद्यार्थी, शोधार्थी और जो इसका अभ्यास के लिए उपयोग करना चाहते हैं, उनके लिए नि:शुल्क प्रस्तुत करते हुए आनंद का अनुभव कर रहा हूं।
"नाटककार सुरेंद्र वर्मा" डॉ. अशोक पटेल का पीएचडी के लिए लिखा गया शोध प्रबंध है। इस किताब में नाटककार सुरेंद्र वर्मा के व्यक्तित्व एवं कृतित्व, नाट्य साहित्य की संक्षिप्त विकास रेखा, स्वातंत्र्योत्तर हिन्दी नाटककारों के नाटकों का संक्षिप्त परिचय, भारतीय और पाश्चात्य दृष्टिकोण से रंगमंच का स्वरूप, हिंदी रंगमंच का अभ्युदय और स्वातंत्र्योत्तर हिंदी नाटककारों में सुरेंद्र वर्मा का स्थान निर्धारित करने का प्रयत्न किया है।

सुरेंद्र वर्मा के नाटक

1. तीन नाटक -
   (सेतुबंध, नायक खलनायक विदूषक, द्रोपदी)
2. सूर्य की अंतिम किरण से सूर्य की पहली किरण तक
3. आठवां सर्ग
4. छोटे सैयद बड़े सैयद
5. एक दुनी एक
6. शकुंतला की अंगूठी
7. कैद ए हयात

नाट्यधर्मिता के समानांतर ही प्रयोगधर्मिता को भी स्वीकार करने की तीव्र ललक सुरेंद्र वर्मा में स्पष्ट रूप से परिलक्षित होती है । खासतौर पर जब नाट्यशिल्प को नए सिरे से गढ़ने की बात करनी हो तो संभवतः सुरेंद्र वर्मा का नाम प्रथम पंक्ति के नाटककारों में शुमार करना समीचीन है, क्योंकि मंचीय संभावनाओं को नजर अंदाज करके नाट्य रचना करना सुरेंद्र वर्मा को किसी भी लिहाज से स्वीकार्य नहीं है । उन्होंने अपनी रचनाओं में न केवल ऐतिहासिक पौराणिक एवं समसामयिक परिवेश को वाणी दी बल्कि कथ्य के साथ-साथ कलात्मकता, संवेदना, दृश्यबंद, नाटकीयता, सुचारूता, संप्रेषणीयता, नाटकीयभाषा, प्रकाश - व्यवस्था, निर्देशक की सूझबूझ आदि का बड़ी बारीकी से ध्यान रखा जिसका सुखद परिणाम हमारे सामने है।

इस शोध प्रबंध में नाटककार सुरेंद्र वर्मा के नाटकों का आस्वादमूलक परिचय, पात्रों का चरित्र चित्रण, परिवेश, संवेदनाएं, नाटकीय शिल्प, दर्शकीय प्रभाव का मूल्यांकन किया है।

इस शोध प्रबंध में सुरेंद्र वर्मा के कहानीकार, उपन्यासकार, एकांकीकार, व्यंग्यकार और नाटककार के रूप को प्रस्तुत किया है, किंतु उनका नाटककार उनके साहित्यकार पर हावी है, यह सिद्ध किया है।

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