HP 17″ Touch Laptop Intel i5 12GB 512GB SSD with Windows 11, MS365 & Voucher 3.0 (8)

0 (zero) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division by zero has no meaning in arithmetic.

As a numerical digit, 0 plays a crucial role in decimal notation: it indicates that the power of ten corresponding to the place containing a 0 does not contribute to the total. For example, "205" in decimal means two hundreds, no tens, and five ones. The same principle applies in place-value notations that uses a base other than ten, such as binary and hexadecimal. The modern use of 0 in this manner derives from Indian mathematics that was transmitted to Europe via medieval Islamic mathematicians and popularized by Fibonacci. It was independently used by the Maya.

Common names for the number 0 in English include zero, nought, naught (), and nil. In contexts where at least one adjacent digit distinguishes it from the letter O, the number is sometimes pronounced as oh or o (). Informal or slang terms for 0 include zilch and zip. Historically, ought, aught (), and cipher have also been used.

Eleven or 11 may refer to:

• 11 (number), the natural number following 10 and preceding 12
• one of the years 11 BC, AD 11, 1911, 2011, or any year ending in 11

Seventeen or 17 may refer to:

• 17 (number), the natural number following 16 and preceding 18
• The years 17 BC, AD 17, 1917, or 2017

3 (three) is a number, numeral and digit. It is the natural number following 2 and preceding 4, and is the smallest odd prime number and the only prime preceding a square number. It has religious and cultural significance in many societies.

Intel Corporation is an American multinational corporation and technology company headquartered in Santa Clara, California, and incorporated in Delaware. Intel designs, manufactures, and sells computer components and related products for business and consumer markets. It is considered one of the world's largest semiconductor chip manufacturers by revenue and ranked in the Fortune 500 list of the largest United States corporations by revenue for nearly a decade, from 2007 to 2016 fiscal years, until it was removed from the ranking in 2018. In 2020, it was reinstated and ranked 45th, being the 7th-largest technology company in the ranking.

Intel supplies microprocessors for most manufacturers of computer systems, and is one of the developers of the x86 series of instruction sets found in most personal computers (PCs). It also manufactures chipsets, network interface controllers, flash memory, graphics processing units (GPUs), field-programmable gate arrays (FPGAs), and other devices related to communications and computing. Intel has a strong presence in the high-performance general-purpose and gaming PC market with its Intel Core line of CPUs, whose high-end models are among the fastest consumer CPUs, as well as its Intel Arc series of GPUs. The Open Source Technology Center at Intel hosts PowerTOP and LatencyTOP, and supports other open source projects such as Wayland, Mesa, Threading Building Blocks (TBB), and Xen.

Intel (Integrated electronics) was founded on July 18, 1968, by semiconductor pioneers Gordon Moore (of Moore's law) and Robert Noyce, along with investor Arthur Rock, and is associated with the executive leadership and vision of Andrew Grove. The company was a key component of the rise of Silicon Valley as a high-tech center, as well as being an early developer of SRAM and DRAM memory chips, which represented the majority of its business until 1981. Although Intel created the world's first commercial microprocessor chip—the Intel 4004—in 1971, it was not until the success of the PC in the early 1990s that this became its primary business.

During the 1990s, the partnership between Microsoft Windows and Intel, known as "Wintel", became instrumental in shaping the PC landscape and solidified Intel's position on the market. As a result, Intel invested heavily in new microprocessor designs in the mid to late 1990s, fostering the rapid growth of the computer industry. During this period, it became the dominant supplier of PC microprocessors, with a market share of 90%, and was known for aggressive and anti-competitive tactics in defense of its market position, particularly against AMD, as well as a struggle with Microsoft for control over the direction of the PC industry.

Since the 2000s and especially since the late 2010s, Intel has faced increasing competition, which has led to a reduction in Intel's dominance and market share in the PC market. Nevertheless, with a 68.4% market share as of 2023, Intel still leads the x86 market by a wide margin. In addition, Intel's ability to design and manufacture its own chips is considered a rarity in the semiconductor industry, as most chip designers do not have their own production facilities and instead rely on contract manufacturers (e.g. AMD and Nvidia).

A voucher is a bond of the redeemable transaction type which is worth a certain monetary value and which may be spent only for specific reasons or on specific goods. Examples include housing, travel, and food vouchers. The term voucher is also a synonym for receipt and is often used to refer to receipts used as evidence of, for example, the declaration that a service has been performed or that an expenditure has been made. Voucher is a tourist guide for using services with a guarantee of payment by the agency.

The term is also commonly used for school vouchers, which are somewhat different.

With or WITH may refer to:

• With, a preposition in English
• Carl Johannes With (1877–1923), Danish doctor and arachnologist
• With (character), a character in D. N. Angel
• With (novel), a novel by Donald Harrington
• With (album), a 2014 album by TVXQ
• With (EP), a 2021 EP by Nam Woo-hyun