Monday 2 January 2023

iPhone 15 and 15 Plus price leaks suggest it might be cheaper than iPhone 14 Plus

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The iPhone 15 and 15 Plus price leaks suggest it might be cheaper than iPhone 14 Plus, according to a report from yeux112 on Naver.

Below are 9 Points you need to know about the Leak

1. Apple iPhone 15 and 15 Plus price leaks suggest the new models could be slightly cheaper than the iPhone 14 Plus.

2. Reports suggest that the iPhone 15 will start at $849, while the iPhone 15 Plus will retail for $949.

3. This would make the iPhone 15 Plus $50 cheaper than its predecessor, the iPhone 14 Plus, which retailed for $999.

4. This could be a great move by Apple to attract more budget-conscious users to their product lineup.

5. The lower price tag may also be due to the fact that Apple is likely to include more features in the new models, such as a larger display, improved camera, and 5G connectivity.

6. According to rumors, the iPhone 15 will have a 6.1-inch OLED display, while the iPhone 15 Plus will have a 6.7-inch OLED display.

7. Both phones are expected to feature Apple's A15 Bionic chip, which will provide faster performance and better battery life than the current A14 Bionic chip.

8. The iPhones are also expected to support 5G networks, which will allow users to access faster download speeds and better network coverage.

9. Both models are likely to have improved cameras with better image stabilization and improved low-light performance.

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Saturday 31 December 2022

Why Did the invention of Number zero took So Long to Develop

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Why Did the invention of Number zero took So Long to Develop.

Why Did the number 0 Took Long to Develop

The number 0 took a long time to develop for a variety of reasons. First, zero is not a physical quantity, and so it does not correspond to anything in the physical world. This made it difficult for early cultures to conceive of zero as a number.

Second, zero is an abstract concept, so it was not easy for people to understand or use. Third, the number 0 was not needed for most basic maths operations, thus it was not widely used in early mathematics. Finally, the development of the Hindu-Arabic numeral system (which included the concept of zero) was a critical breakthrough that allowed the number 0 to be widely used.

Negative numbers, decimals, and fractions

The number 0 has been an important part of mathematics for a very long time, but it wasn't always used the way we use it today. In fact, the concept of negative numbers, decimals, and fractions didn't even exist until relatively recently in history. So why did it take so long for the number 0 to develop?

Part of the reason is that early users of maths didn't have a need for negative numbers, decimals, or fractions. They were able to solve problems without them. But as mathematics became more sophisticated, these concepts became necessary.

Another reason is that the number 0 can be confusing and difficult to work with. It can be hard to understand what it means when a number is negative or when there are decimal points involved. It took time for math scholars to develop ways to work with 0 effectively.

Today, we use the number 0 all the time without even thinking about it. 

Whose actual discovery is Zero?

Who discovered zero? The answer may surprise you. It turns out that the concept of zero is much older than we give it credit for, and its origins are actually quite close to home.

The earliest known use of zero was in ancient Mesopotamia, around 3200 BC. This civilization used a number system that included a symbol for zero, which they called a “shell”. This symbol was used in conjunction with other symbols to represent numbers up to 59.

The first recorded use of zero in India was in 628 AD, when Brahmagupta wrote a book called Brahmasphuta Siddhanta. In this book, he discussed the concept of nothingness and used zero as a placeholder in equations.

It wasn’t until the 9th century that zero made its way to Europe, thanks to the work of Arabic mathematicians who were translating Indian texts. The word “zero” comes from the Arabic word ṣifr, which means “empty”.

So who really did discover zero? It seems that the credit should be shared among many cultures.

Early attempts to represent zero

The oldest documentation of the actual zero symbol and the origin of the word zero comes from the Persian al-Khwarizmi. If we really want to understand why it took so long for zero to develop, we need to look at how numbers were used before zero existed.

The first use of numbers was for counting. This is a plain concept that even young children can understand. When you count, you start at 1 and go up from there. There is no need for a zero because you are only concerned with the quantity of things, not their value.

The second use of numbers is in-place value notation. This is where each digit in a number has a different value depending on its position. For example, in the number 102, the "1" represents 100 (1 x 100), the "0" represents 10 (0 x 10), and the "2" represents 1 (2 x 1). 

When was the number zero first used for Mathematics

Zero has a fascinating tale to its history, from being originated as an option to be written as a circle, to providing value to positive numbers has come a long way.

It wasn't until the 7th century AD that Indian mathematician and astronomer Brahmagupta fully developed the idea of zero as both a placeholder and a number in its own right. His work was later adopted by Arab maths scholars, who spread the idea throughout Europe. 

There is also a mention that the number 0 was first used by the ancient Babylonians about 3,000 years ago. But it was the Hindus who gave it its modern name "zero" and developed the concept of nothingness. The Hindus again used zero as a place-holder in their number system. The Arabs later borrowed this Hindu system and spread it to Europe.

The recorded use of Zero in Mathematical Text in the Bakhshali manuscript

The Bakhshali manuscript is a mathematical text written in Sanskrit on birch bark. It is the oldest known manuscript with a decimal place-value system and contains the first recorded use of zero as a placeholder. The date of the manuscript is disputed, with estimates ranging from the 3rd or 4th century CE to the 8th century CE.

The Bakhshali manuscript was discovered in 1881 by a farmer in the village of Bakhshali, near Peshawar in modern-day Pakistan. The manuscript consists of seventy leaves of birch bark, on which are inscribed mathematical rules and problems. It is written in Sanskrit, using a Sharada script that is derived from Brahmi.

The Bakhshali manuscript is important not only for its age but also for its content. It includes the first recorded use of zero as a placeholder in positional notation. 

The concept of zero in different cultures

The idea of 0 is a relatively new invention and one that has had a profound impact on the world. Zero represents an empty quantity. The first known use of it was in ancient Babylon, around 400-300 BC.

A particular system (which was also independently developed by the Mayans) was the number 0. Older positional notation systems, such as Babylonian numerals, did not use a symbol for zero. 

However, it was not until the 7th century AD that 0 was independently invented in India. Indian mathematicians were using 0 long before the West had even heard of it.

The number 0 has been around to represent the idea of nothing since ancient Sumerian society, which used it to represent an absence of value or quality.

Zero has significantly impacted maths and science and has been instrumental in shaping the modern world.

Without zero, many of the advances we take for granted today would not have been possible. It is hard to imagine a world without zero, but thankfully we do not have to!

The development of the Hindu and Arabic numeral system

The Hindu–Arabic numeral system is a positional decimal numeral system used in the region extending from India to North Africa. It was invented between the 1st and 4th centuries by Indian math pundits and adopted in Arabic mathematics by the 9th century.

The full system emerged by the 8th to 9th centuries and is first described outside India in Al-Khwarizmi's On the Calculation with Hindu Numerals. The system revolutionized the field of maths, astronomy, engineering, and science which has been the foundation of much progress over the last few centuries.

Why Dividing by Zero is Undefined?

  • It is undefined because it leads to a contradiction.
  • If we allow division by zero, then certain arithmetic rules will be violated.
  • it is undefined because it results in an infinite answer.
  • Allowing it makes calculus and other mathematical concepts more difficult to understand.
  • There are some situations where division by zero is allowed.

Zero in digital technology

The number 0 has been around for a very long time, but it took until the digital age for zero to really become established as a number. The reason for this is that zero represents an empty quantity. In other words, when you see a 0 at the end of a number, it doesn't actually have any value itself.

It wasn't until the development of computer technology that 0 really started to be used as a number in its own right. This is because computers use binary code, which is based on the numbers 0 and 1.

In binary code, each digit represents a power of 2. So, when you see a 0 at the end of a number, it means that there are no more units of 2 left to be represented.

0 is an important number in many areas of mathematics, without it, we would not have most modern technologies. It makes financial accounting possible, coding, calculation of complex number in space programs, and much more.

References and Conclusion on Invented Zero

The number 0 is a very important number in mathematics, but it didn't always exist. In fact, it took many centuries to develop and complete the idea of 0.

One of the earliest known uses of 0 was in ancient India, where it was used as a placeholder in numbers. However, it wasn't until around the 5th or 6th century that Indian mathematicians began using 0 as a number in its own right.

The concept of 0 then spread to China and the Arab world. It was during this time that maths scholars began to realize that zero could be used in equations.

The number 0 finally made its way to Europe in the 12th century, thanks to the work of Italian mathematician Leonardo Fibonacci. Fibonacci popularized the use of 0 in Europe and helped to make it an important part of mathematics.

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Saturday 22 January 2022

Realme 9 Pro 5G Complete Specs Sheet Leaks

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The rumored Realme 9 Pro specs sheet confirms the phone will have Snapdragon 695, it will get a minimum of 6GB of RAM and 128GB of internal storage(microSD expansion slot is not expected). Its panel will have a 6.6 inch AMOLED panel at 120Hz with HDR10 content support.

 In the back the phones will have a 64 MP main camera with an aperture f/1.8, its ultrawide camera is alleged to be 8 MP with f/2.3 aperture and the micro-unit is 2 MP with f/2.4.  The camera in front is located in the off-centered hole, and it has a 16 MP sensor and f/2.5 lens.

It is odd that the device will come with Android 11 out of the box, and will have a 5,000 mAh battery which supports 33W fast charging.

 Currently, reports indicate that the Realme 9 Pro and Pro+ will be released in February in India and Europe, while the vanilla variant will not be available until Q2 2022.


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Thursday 21 October 2021


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Redmi officially announced yesterday that they will be holding a press conference on October 28th at 7pm (Chinese time). Moreover, the company announced the unveiling of the "Little King Kong," Redmi Note 11 Series at the upcoming event. It also  says this series will see the biggest changes to the appearance of “Little King Kong” ever. This series will be completely redesigned and reworked in terms of performance.

In an image posted by Redmi this morning, the full Redmi Note 11 is seen for the first time. The smartphone has a small square-edged design. In addition, the company announced a new "fog forest" color scheme, which is more like a deep green. At certain angles, this colour can reflect different effects of light, as if exuding a mysterious luster similar to that of a gem. In this image, we can see what this smartphone will look and feel like.

The Redmi Note 11 series will be more appealing to the younger crowd, based on the latest information. Similar to the Xiaomi Mi 10 Ultra, the full-screen solution includes a central punch-hole and multiple rear cameras. 

Redmi Note 11 will also bring a considerable upgrade in terms of its configuration, aside from the major changes in appearance. Additionally, this device will support a 120Hz high-refresh-rate as well as symmetrical dual speakers tuned by JBL. It will provide a highly enhanced audio/visual experience.

However, there have also been reports claiming that its top model will also support 120W charging. Additionally, the Redmi Note 11 Pro appears to be the only model to use 120W fast charging. The general model will use a 100W fast charging tech. If this method of charging is introduced to the Note series, it will be the fastest charging technology for the Redmi Note series by a long shot. At present, only a few Xiaomi flagships support 120W fast charging. We have the likes of Xiaomi Mi MIX 4, Mi 11 series, Mi 10 Ultra, etc. It is quite an affordable price, considering that the Redmi Note series won't cost more than $350.

Source: Redmi

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Tuesday 11 May 2021


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At the moment, the MIUI 12.5 update is available for Xiaomi smartphones. Yet, Xiaomi users are already anticipating MIUI 13. A few days ago, reports indicated that the MIUI 13 update will be released soon. According to the report, MIUI 13 will be officially released on June 25th.  And this update will be available for models such as the Mi 9 and Mi 10 series, the Mi Mix Fold, and so on. However, Xiaomi has officially denied these claims.

Xiaomi Group's Public Relations Department, Wang Hua, says the MIUI 13 update will not be released on June 25th. Despite the convincing nature of the report, he said he wouldn't blame anyone who believed it. They had teasers that appeared official with so much technicality. MIUI 13 is not officially expected to launch anytime soon.

At present, MIUI 12.5 is being rolled out to older models. MIUI 13 is unlikely to be released in the near future. First batch of compatible models with MIUI 12.5 include the Mi 11 Ultra, Mi 11 Pro, Mi 11 Ultra Commemorative Edition, Mi 10 Pro, Mi 10 SE, Mi 9 SE, and so on. In the future, this update will work with the Xiaomi CC series, the Redmi X series (Redmi 10X, Redmi 10X Pro, etc.), and the Redmi K series, as well as models from the past. Users can get the stable version by going to Settings > My Device > About This Device.

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Monday 10 May 2021

New Redmi K40 Gaming phone with Dimensity 1100 could be coming soon

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A few weeks ago, Redmi announced its first gaming-oriented smartphone with a physical gaming trigger button. Before launch,  the rumor suggested, there were predictions that there would be another variant of the smartphone with an inferior chipset. Both models were expected to unveil together, but the company only announced the Redmi K40 Gaming. A tipper from China shared the key specifications for the other model. Most likely, Redmi aims to launch the phone in China later this month.

In February, the Digital Chat Station reported that the Redmi K40 includes two different chipsets, one of which is the MT6893 (Dimensity 1200) and one which is the MT6891 (Dimensity 1100). While Redmi has launched the former, it is still uncertain whether it will offer the latter. 

In addition, he mentioned the phone will have a Full HD+ display with a centrally aligned punch-hole. The phone will run on the Dimensity 1100 processor. It has a 64MP main camera, and it comes with support for 67W fast charging and a 5,000mAh battery.

Most likely, this phone will be released in China as a lite version of the Redmi K40 Gaming. Its starting price is 1,999 Yuan ($311). Hence, there is a possibility that its Dimensity 1100 SoC variant may start around 1,599 Yuan (~$249) or 1,699 Yuan (~$264).

Redmi K40 Gaming's model number is M2104K10C. It seems that the M2104K10AC, which was seen at places like 3C, TENAA, and Master Lu benchmarks, could be the Redmi K40 Gaming Lite. It is said to have an FHD+ display, Dimensity 1100 chipset, 8 GB of RAM, and 256 GB of storage. It is expected to debut later this month.

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Thursday 6 May 2021

MIUI 13 scheduled to arrive on June 25, phones from 2019 or newer to get it

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Xiaomi smartphones are still receiving the MIUI 12.5 update, but the company is already planning the release of the MIUI 13 version.Chinese sources say it will be available in the second quarter, just like every other version launched in the past few years. The date has now been set as June 25.

Xiaomi favored support for cheaper models even though they were four years old.

Although MIUI 13 will not be available to flagship smartphones like the Xiaomi Mi 9 and Xiaomi Mix 3, it is still available to midrange devices like the Redmi Note 8 series and the Redmi 8 lineup.

Little is known about the features that will eventually be included in the new user interface. You can expect smoother animations, new themes, and wallpapers, as well as plenty of safety improvements.

Source (in Chinese) | Via

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