Checksum algorithms, such as CRC32 and other cyclic redundancy checks, are designed to meet much weaker requirements, and are generally unsuitable as cryptographic hash functions.

Mutable ( and therefore unauthenticated ) IPv4 header fields are DSCP / TOS, ECN, Flags, Fragment Offset, TTL and Header Checksum.

*< tt > File Checksum Integrity Verifier ( FCIV )</ tt >, a command-prompt utility from Microsoft that computes and verifies MD5 or SHA-1 cryptographic hash values of files.

Distributed Checksum Clearinghouse ( also referred to as DCC ) is a hash sharing method of spam email detection.

The exact copy nature of spam using open relays made it easy to create bulk e-mail detection systems such as Vipul's Razor and the Distributed Checksum Clearinghouse.

Checksum was an implementation of RAID-5.

The last field of the message is TAG 10, FIX Message Checksum.

* Checksum and sequence number calculations-again a burden on a general purpose CPU to perform.

* N. Rogier, Pascal Chauvaud, MD2 is not Secure without the Checksum Byte, Designs, Codes and Cryptography, 12 ( 3 ), pp245 – 251, 1997.

A harder-to-guess example might be < CompanyName. Checksum @ YourDomain. DEAServiceProvider. com > or < RandomTextCompanyNameRandomText @ YourDomain. DEAServiceProvider. com >.

Fundamental to the difficulty of creating the desired prestige is the fact that, in the business community, prestige and status are conferred in proportion to the authority that one man has over others and the extent of which he participates in the management functions ''.

For the interpretation of these significant investigations, it should be remembered that reciprocal relations exist in the hypothalamus with respect to autonomic and somatic functions which are closely associated with the emotions.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

These are real analytic periodic functions with period T.

and there are different opinions as to the essential functions of religion.

Although the inner functions of religion are not of direct significance in social organization, they have important indirect consequences.

If the inner functions of religion are performed, the individual is a composed, ordered, motivated, and emotionally secure associate ; ;

There are several closely related inner functions.

Instead, all of the total costs are treated as variable costs, although these costs are divided into costs that are deemed to be functions of different variables.

This latter assumption will permit us to center attention on the most controversial aspect of modern public utility cost analysis -- the distinction among costs that are functions of outputs of the same service measured along different dimensions.

All these functions, including the function of the healer-god Paean, who seems to have Mycenean origin, are fused in the cult of Apollo.

As the body prepares to deal with a threat, blood pressure, heart rate, perspiration, blood flow to the major muscle groups are increased, while immune and digestive functions are inhibited ( the fight or flight response ).

In strict analysis, abbreviations should not be confused with contractions or acronyms ( including initialisms ), with which they share some semantic and phonetic functions, though all three are connoted by the term " abbreviation " in loose parlance. An abbreviation is a shortening by any method ; a contraction is a reduction of size by the drawing together of the parts.

These are graphs of ψ ( x, y, z ) functions which depend on the coordinates of one electron.

The spatial components of these one-electron functions are called atomic orbitals.

Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron ( i. e. orbitals ) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule.

functions as real combinations of spherical harmonics Y < sub > lm </ sub >( θ, φ ) ( where l and m are quantum numbers ).

MacLean stressed correctly the importance of the visceral brain for preservation of the individual and the species, as evidenced by the influence of the limbic brain ( including the hypothalamus ) on emotions related to fight and flight and also on sexual functions.

However, there are certain limitations: they may not administer the sacraments and related functions whose celebration is reserved to bishops, priests, deacons, or seminarians ( the male clergy ), namely, Holy Orders ( they may make provision for an ordained cleric to help train and to admit some of their members, if needed, as altar servers, Eucharistic ministers, or lectors-the minor ministries which are now open to the non-ordained ).

This expression is related to the development of Bessel functions in terms of the Bessel – Clifford function.

Partition theory studies various enumeration and asymptotic problems related to integer partitions, and is closely related to q-series, special functions and orthogonal polynomials.

Obviously not all kinds of information are capable of being disseminated consciously ( e. g., neural activity related to vegetative functions, reflexes, unconscious motor programs, low-level perceptual analyses, etc.

The study of categories is an attempt to axiomatically capture what is commonly found in various classes of related mathematical structures by relating them to the structure-preserving functions between them.

These functions are apparent in the traditional institutions and cults related to the goddess.

Infinite Diophantine equations are related to theta functions and infinite dimensional lattices.

With most IIR transfer functions there are related transfer functions having a frequency response with the same magnitude but a different phase ; in most case the so-called minimum phase transfer function is preferred.

Higher-order functions are closely related to first-class functions, in that higher-order functions and first-class functions both allow functions as arguments and results of other functions.

The inverse transform, known as Fourier series, is a representation of s < sub > P </ sub >( t ) in terms of a summation of a potentially infinite number of harmonically related sinusoids or complex exponential functions, each with an amplitude and phase specified by one of the coefficients:

Its major functions include facilitating trade negotiations and handling trade related matters, inter-government relations with foreign governments ; the promoting of investment in Hong Kong ; and liaising with the media and business community.

Hash functions are related to ( and often confused with ) checksums, check digits, fingerprints, randomization functions, error correcting codes, and cryptographic hash functions.