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.

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.

In a neighborhood of Q the difference between these functions is also a single-valued, analytic function of U.

In providing for these inner individual functions, religion undertakes in behalf of individual peace of mind and well-being services for which there is no other institution.

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.

Brief descriptions of these three declarative statements and detailed descriptions of the formats and functions of each of the other 7070/7074 Autocoder declarative statements follow below.

The former is basically a giant multinucleate amoeba, while the latter lives solitary until food runs out ; in which a colony of these functions as a unit.

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

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

As they do not receive Holy Orders in the Catholic, Orthodox and Oriental Churches, they do not possess the ability to ordain any religious to Holy Orders, or even admit their members to the non-ordained ministries to which they can be installed by the ordained clergy ( females do not serve as clergy anyway, per formal church teaching, in these churches ), nor do they exercise the authority they do possess under canon law over any territories outside of their monastery and its territory ( though non-cloistered, non-contemplative female religious members who are based in a convent or monastery but who participate in external affairs may assist as needed by the diocesan bishop and local secular clergy and laity, in certain pastoral ministries and administrative and non-administrative functions not requiring ordained ministry or status as a male cleric in those churches or programs ).

All of these define the relative numbers of particles in a system as decreasing exponential functions of energy ( at the particle level ) over kT, with k representing the Boltzmann constant and T representing the temperature observed at the macroscopic level.

A seventh landing mission, the 1970 Apollo 13 flight, failed in transit to the Moon when an oxygen tank explosion disabled the command spacecraft's propulsion and life support, forcing the crew to use the Lunar Module as a " lifeboat " for these functions to return to Earth safely.

As the system evolved these last two functions were shifted to the law courts.

As ' functions ' these can take only the value 0, but they carry infinitesimal information, in purely algebraic settings.

Additionally, these lower-level functions could be programmed to read the data immediately following the "&" or " USR " command, allowing a BASIC program to pass parameters to the functions.

In the last two of these functions he has an important ecumenical and interfaith role, speaking on behalf of Anglicans in England and worldwide.

An abstract data type is defined as a mathematical model of the data objects that make up a data type as well as the functions that operate on these objects.

3, 7 ) divides these functions under three heads:

Organisationally and spatially these functions can be arranged in many ways.

Abstraction operates in one of these functions when it excludes the simultaneous influence of the other functions and other irrelevancies, such as emotion.

Some of these have functions by themselves or in a modified form ; for instance, glutamate functions as an important neurotransmitter.

Due to the plasticity of the human brain, the structure of its synapses and their resulting functions change throughout life.

Similarly, GABA, although associated with inhibitory functions at many CNS synapses, sometimes shows a positive correlation with aggression, including when potentiated by alcohol.

In addition to providing a supportive structure for the cell, the known functions of the microtubules include transport of molecules including neurotransmitter molecules bound for the synapses, and control of the cell's movement, growth and shape.

Although it is always difficult to determine the many interacting functions of a gene, VMAT2 appears to be involved in the transport of monoamine neurotransmitters across the synapses of the brain.

These proteins have been shown to have diverse functions in the development of the nervous system and play multiple essential roles in vertebrate embryogenesis including: cardiac development, Schwann cell and oligodendrocyte differentiation, some aspects of neuronal development, as well as the formation of neuromuscular synapses.

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 ''.

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.

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.

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.

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.

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 ).

Our Masu is one of the very few architects in Japan who is trying to plan homes around family functions and women's needs.

This is a very abstract definition since, in category theory, morphisms aren't necessarily functions and objects aren't necessarily sets.

There were however officials such as the nine archons, who while seemingly a board carried out very different functions from each other.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

The various algebras of functions given in the examples above have very different properties from standard examples of algebras such as the reals.

One problem with this encode-transmit-receive-decode model is that the processes of encoding and decoding imply that the sender and receiver each possess something that functions as a codebook, and that these two code books are, at the very least, similar if not identical.

In theoretical computer science, currying provides a way to study functions with multiple arguments in very simple theoretical models such as the lambda calculus in which functions only take a single argument.

The practical motivation for partial application is that very often the functions obtained by supplying some but not all of the arguments to a function are useful ; for example, many languages have a function or operator similar to.

Proofs in computability theory often invoke the Church – Turing thesis in an informal way to establish the computability of functions while avoiding the ( often very long ) details which would be involved in a rigorous, formal proof.

Despite very limited capabilities ( 98 bytes of instruction memory and about 19 stack and addressable registers ), people managed to write all kinds of programs for them, including adventure games and libraries of calculus-related functions for engineers.

At the turn of the millennium, the line between a graphing calculator and a handheld computer was not always clear, as some very advanced calculators such as the TI-89, the Voyage 200 and HP-49G could differentiate and integrate functions, solve differential equations, run word processing and PIM software, and connect by wire or IR to other calculators / computers.

He claims that functions of the mind / soul are internal, very private experiences that are not accessible to observation by others, and therefore not accessible by science ( at least not yet ).

Clenshaw – Curtis quadrature is essentially a change of variables to cast an arbitrary integral in terms of integrals of periodic functions where the Euler – Maclaurin approach is very accurate ( in that particular case the Euler – Maclaurin formula takes the form of a discrete cosine transform ).

The diverse pantheon ranged from gods with vital roles in the universe to minor deities or " demons " with very limited or localized functions.

By 1918, two French mathematicians, Pierre Fatou and Gaston Julia, though working independently, arrived essentially simultaneously at results describing what are now seen as fractal behaviour associated with mapping complex numbers and iterative functions and leading to further ideas about attractors and repellors ( i. e., points that attract or repel other points ), which have become very important in the study of fractals ( see Figure 3 and Figure 4 ).

This functions very well in New Zealand and includes law as it applies to contracts, restrictive trade practices, intellectual property and the law of misleading or deceptive conduct.

Some cryptographic hash functions, such as SHA-1, have even stronger uniformity guarantees than checksums or fingerprints, and thus can provide very good general-purpose hashing functions.

Application program functions such as termination, page-up, page-down, or help can be invoked by a single key press, thereby reducing the load on very busy processors.

Finger functions can become very impaired, such as for manipulating pens, keys, buttons, and zippers, pulling handles, and firmly grasping handshakes.

Jains are very welcoming and friendly toward other faiths and often help with interfaith functions.