With Cantore Arithmetic the history to the moment must not remain in the second hand of passed thereby residence must proof to addition. The Big Bang to the Genesis of the bible, text or oral verbiage is not adequate for the information provided by the column.
A column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above to other structural elements below. In other words, a column is a compression member. The term column applies especially to a large round support (the shaft of the column) with a capital and a base or pedestal,[1]
which is made of stone, or appearing to be so. A small wooden or metal
support is typically called a post, and supports with a rectangular or
other non-round section are usually called piers.
As the history of astronomy with the mythology and the genesis of what is known to me from only the King James Version of the bible, the avenue of this boulevard is not a street map merely a city map to remain in the addition forum/format/arithmetic text of the goal.
As in explanation this world cannot plead to ocean without residence to salt? The ongoing is on subject to shore, beach and a line in the sand making more to what is a tree with an apple. The fruit to growth, a garden to maintained looks to planted and that would introduce a subject not retained in Cantore arithmetic and would be left as subjective learning.
To engage the genesis at the tree what would be needed, Ancient Greece, in the addition the tree would be merely a garden and the yard may be introduced as a measurement in Cantore Arithmetic.
The yard (symbol: yd)[3][4] is an English unit of length, in both the British imperial and US customary systems of measurement, that comprises 3 feet or 36 inches. Since 1959 it is by international agreement standardized as exactly 0.9144 meter. A distance of 1,760 yards is equal to 1 mile.
The US survey yard is very slightly longer.
Metric system
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The metric system is a system of measurement that succeeded the decimalised system based on the metre that had been introduced in France in the 1790s. The historical development of these systems culminated in the definition of the International System of Units (SI) in the mid-20th century, under the oversight of an international standards body. Adopting the metric system is known as metrication.
The historical evolution of metric systems has resulted in the
recognition of several principles. Each of the fundamental dimensions of
nature is expressed by a single base unit of measure. The definition of base units has increasingly been realised
from natural principles, rather than by copies of physical artefacts.
For quantities derived from the fundamental base units of the system,
units derived
from the base units are used–e.g., the square metre is the derived unit
for area, a quantity derived from length. These derived units are coherent,
which means that they involve only products of powers of the base
units, without empirical factors. For any given quantity whose unit has a
special name and symbol, an extended set of smaller and larger units is
defined that are related by factors of powers of ten. The unit of time
should be the second; the unit of length should be either the metre or a decimal multiple of it; and the unit of mass should be the gram or a decimal multiple of it.
Metric systems have evolved since the 1790s, as science and
technology have evolved, in providing a single universal measuring
system. Before and in addition to the SI, some other examples of metric
systems are the following: the MKS system of units and the MKSA systems, which are the direct forerunners of the SI; the centimetre–gram–second (CGS) system and its subtypes, the CGS electrostatic (cgs-esu) system, the CGS electromagnetic (cgs-emu) system, and their still-popular blend, the Gaussian system; the metre–tonne–second (MTS) system; and the gravitational metric systems, which can be based on either the metre or the centimetre, and either the gram(-force) or the kilogram(-force).
Background
The French revolution
(1789–99) provided an opportunity for the French to reform their
unwieldy and archaic system of many local weights and measures. Charles Maurice de Talleyrand championed a new system based on natural units, proposing to the French National Assembly
in 1790 that such a system be developed. Talleyrand had ambitions that a
new natural and standardised system would be embraced worldwide, and
was keen to involve other countries in its development. Great Britain ignored invitations to co-operate, so the French Academy of Sciences
decided in 1791 to go it alone and they set up a commission for the
purpose. The commission decided that the standard of length should be
based on the size of the Earth. They defined that length to be the 'metre' and its length as one ten-millionth of the length of an Earth quadrant, the length of the meridian arc on the Earth's surface from the equator to the north pole. In 1799, after the arc measurement had been surveyed, the new system was launched in France.[1]: 145–149
The units of the metric system, originally taken from observable features of nature, are now defined by seven physical constants
being given exact numerical values in terms of the units. In the
modern form of the International System of Units (SI), the seven base units are: metre for length, kilogram for mass, second for time, ampere for electric current, kelvin for temperature, candela for luminous intensity and mole
for amount of substance. These, together with their derived units, can
measure any physical quantity. Derived units may have their own unit
name, such as the watt (J/s) and lux (cd/m2), or may just be expressed as combinations of base units, such as velocity (m/s) and acceleration (m/s2).[2]
The metric system was designed to have properties that make it
easy to use and widely applicable, including units based on the natural
world, decimal ratios, prefixes for multiples and sub-multiples, and a
structure of base and derived units. It is also a coherent system,
which means that its units do not introduce conversion factors not
already present in equations relating quantities. It has a property
called rationalisation that eliminates certain constants of proportionality in equations of physics.
The metric system is extensible, and new derived units are
defined as needed in fields such as radiology and chemistry. For
example, the katal, a derived unit for catalytic activity equivalent to one mole per second (1 mol/s), was added in 1999.
Principles
Although
the metric system has changed and developed since its inception, its
basic concepts have hardly changed. Designed for transnational use, it
consisted of a basic set of units of measurement, now known as base units. Derived units
were built up from the base units using logical rather than empirical
relationships while multiples and submultiples of both base and derived
units were decimal-based and identified by a standard set of prefixes.
Realisation
The base units used in a measurement system must be realisable. Each of the definitions of the base units in the SI is accompanied by a defined mise en pratique [practical realisation] that describes in detail at least one way in which the base unit can be measured.[4]
Where possible, definitions of the base units were developed so that
any laboratory equipped with proper instruments would be able to realise
a standard without reliance on an artefact held by another country. In
practice, such realisation is done under the auspices of a mutual acceptance arrangement.[5]
In the SI, the standard metre is defined as exactly 1/299,792,458 of the distance that light travels in a second.
The realisation of the metre depends in turn on precise realisation of
the second. There are both astronomical observation methods and
laboratory measurement methods that are used to realise units of the
standard metre. Because the speed of light
is now exactly defined in terms of the metre, more precise measurement
of the speed of light does not result in a more accurate figure for its
velocity in standard units, but rather a more accurate definition of the
metre. The accuracy of the measured speed of light is considered to be
within 1 m/s, and the realisation of the metre is within about 3 parts
in 1,000,000,000, or a proportion of 0.3x10−8:1.
The kilogram was originally defined as the mass of a man-made artefact of platinum-iridium held in a laboratory in France, until the new definition was introduced in May 2019. Replicas made in 1879 at the time of the artefact's fabrication and distributed to signatories of the Metre Convention serve as de facto
standards of mass in those countries. Additional replicas have been
fabricated since as additional countries have joined the convention.
The replicas were subject to periodic validation by comparison to the
original, called the IPK.
It became apparent that either the IPK or the replicas or both were
deteriorating, and are no longer comparable: they had diverged by 50 μg
since fabrication, so figuratively, the accuracy of the kilogram was no
better than 5 parts in a hundred million or a proportion of 5x10−8:1. The accepted redefinition of SI base units replaced the IPK with an exact definition of the Planck constant, which defines the kilogram in terms of the second and metre.
Base and derived unit structure
The metric system base units were originally adopted because they
represented fundamental orthogonal dimensions of measurement
corresponding to how we perceive nature: a spatial dimension, a time
dimension, one for inertia, and later, a more subtle one for the
dimension of an "invisible substance" known as electricity or more
generally, electromagnetism.
One and only one unit in each of these dimensions was defined, unlike
older systems where multiple perceptual quantities with the same
dimension were prevalent, like inches, feet and yards or ounces, pounds
and tons. Units for other quantities like area and volume, which are
also spatial dimensional quantities, were derived from the fundamental
ones by logical relationships, so that a unit of square area for
example, was the unit of length squared.
Many derived units were already in use before and during the time
the metric system evolved, because they represented convenient
abstractions of whatever base units were defined for the system,
especially in the sciences. So analogous units were scaled in terms of
the units of the newly established metric system, and their names
adopted into the system. Many of these were associated with
electromagnetism. Other perceptual units, like volume, which were not
defined in terms of base units, were incorporated into the system with
definitions in the metric base units, so that the system remained
simple. It grew in number of units, but the system retained a uniform
structure.
Decimal ratios
Some
customary systems of weights and measures had duodecimal ratios, which
meant quantities were conveniently divisible by 2, 3, 4, and 6. But it
was difficult to do arithmetic with things like 1⁄4 pound or 1⁄3 foot. There was no system of notation for successive fractions: for example, 1⁄3 of 1⁄3
of a foot was not an inch or any other unit. But the system of counting
in decimal ratios did have notation, and the system had the algebraic
property of multiplicative closure: a fraction of a fraction, or a
multiple of a fraction was a quantity in the system, like 1⁄10 of 1⁄10 which is 1⁄100. So a decimal radix became the ratio between unit sizes of the metric system.
Prefixes for multiples and submultiples
In the metric system, multiples and submultiples of units follow a decimal pattern.[Note 1]
| Prefix
|
Symbol
|
Factor
|
Power
|
| tera
|
T
|
1000000000000
|
1012
|
| giga
|
G
|
1000000000
|
109
|
| mega
|
M
|
1000000
|
106
|
| kilo
|
k
|
1000
|
103
|
| hecto
|
h
|
100
|
102
|
| deca
|
da
|
10
|
101
|
| (none)
|
(none)
|
1
|
100
|
| deci
|
d
|
0.1
|
10−1
|
| centi
|
c
|
0.01
|
10−2
|
| milli
|
m
|
0.001
|
10−3
|
| micro
|
μ
|
0.000001
|
10−6
|
| nano
|
n
|
0.000000001
|
10−9
|
| pico
|
p
|
0.000000000001
|
10−12
|
A common set of decimal-based prefixes that have the effect of
multiplication or division by an integer power of ten can be applied to
units that are themselves too large or too small for practical use. The
concept of using consistent classical (Latin or Greek) names for the prefixes was first proposed in a report by the French Revolutionary Commission on Weights and Measures in May 1793.[3]: 89–96 The prefix kilo, for example, is used to multiply the unit by 1000, and the prefix milli is to indicate a one-thousandth part of the unit. Thus the kilogram and kilometre are a thousand grams and metres respectively, and a milligram and millimetre are one thousandth of a gram and metre respectively. These relations can be written symbolically as:[6]
1 mg = 0.001 g
1 km = 1000 m
In the early days, multipliers that were positive powers of ten were given Greek-derived prefixes such as kilo- and mega-, and those that were negative powers of ten were given Latin-derived prefixes such as centi- and milli-. However, 1935 extensions to the prefix system did not follow this convention: the prefixes nano- and micro-, for example have Greek roots.[1]: 222–223 During the 19th century the prefix myria-, derived from the Greek word μύριοι (mýrioi), was used as a multiplier for 10000.[7]
When applying prefixes to derived units of area and volume that
are expressed in terms of units of length squared or cubed, the square
and cube operators are applied to the unit of length including the
prefix, as illustrated below.[6]
| 1 mm2 (square millimetre) |
= (1 mm)2 |
= (0.001 m)2 |
= 0.000001 m2
|
| 1 km2 (square kilometre) |
= (1 km)2 |
= (1000 m)2 |
= 1000000 m2
|
| 1 mm3 (cubic millimetre) |
= (1 mm)3 |
= (0.001 m)3 |
= 0.000000001 m3
|
| 1 km3 (cubic kilometre) |
= (1 km)3 |
= (1000 m)3 |
= 1000000000 m3
|
Prefixes are not usually used to indicate multiples of a second greater than 1; the non-SI units of minute, hour and day are used instead. On the other hand, prefixes are used for multiples of the non-SI unit of volume, the litre (l, L) such as millilitres (ml).[6]
Coherence
James Clerk Maxwell
played a major role in developing the concept of a coherent CGS system
and in extending the metric system to include electrical units.
Each variant of the metric system has a degree of coherence—the
derived units are directly related to the base units without the need
for intermediate conversion factors.[8] For example, in a coherent system the units of force, energy and power are chosen so that the equations
| force |
= |
mass |
× |
acceleration
|
| energy |
= |
force |
× |
distance
|
| energy |
= |
power |
× |
time
|
hold without the introduction of unit conversion factors. Once a set
of coherent units have been defined, other relationships in physics that
use those units will automatically be true. Therefore, Einstein's mass–energy equation, E = mc2, does not require extraneous constants when expressed in coherent units.[9]
The CGS system had two units of energy, the erg that was related to mechanics and the calorie that was related to thermal energy;
so only one of them (the erg) could bear a coherent relationship to the
base units. Coherence was a design aim of SI, which resulted in only
one unit of energy being defined – the joule.[10]
Rationalisation
Maxwell's
equations of electromagnetism contained a factor relating to
steradians, representative of the fact that electric charges and
magnetic fields may be considered to emanate from a point and propagate
equally in all directions, i.e. spherically. This factor appeared
awkwardly in many equations of physics dealing with the dimensionality
of electromagnetism and sometimes other things.
Common metric systems
A number of different metric system have been developed, all using the Mètre des Archives and Kilogramme des Archives (or their descendants) as their base units, but differing in the definitions of the various derived units.
Variants of the metric system
| Quantity
|
SI/MKS
|
CGS
|
MTS
|
distance, displacement,
- length, height, etc.
- (d, x, l, h, etc.)
|
metre (m)
|
centimetre (cm)
|
metre
|
| mass (m)
|
kilogram (kg)
|
gram (g)
|
tonne (t)
|
| time (t)
|
second (s)
|
second
|
second
|
| speed, velocity (v, v)
|
m/s
|
cm/s
|
m/s
|
| acceleration (a)
|
m/s2
|
gal (Gal)
|
m/s2
|
| force (F)
|
newton (N)
|
dyne (dyn)
|
sthene (sn)
|
| pressure (P or p)
|
pascal (Pa)
|
barye (Ba)
|
pièze (pz)
|
| energy (E, Q, W)
|
joule (J)
|
erg (erg)
|
kilojoule (kJ)
|
| power (P)
|
watt (W)
|
erg/s
|
kilowatt (kW)
|
| viscosity (μ)
|
Pa⋅s
|
poise (P)
|
pz⋅s
|
Gaussian second and the first mechanical system of units
In 1832, Gauss used the astronomical second as a base unit in
defining the gravitation of the earth, and together with the gram and
millimetre, became the first system of mechanical units.
Centimetre–gram–second systems
The centimetre–gram–second system of units (CGS) was the first
coherent metric system, having been developed in the 1860s and promoted
by Maxwell and Thomson. In 1874, this system was formally promoted by
the British Association for the Advancement of Science (BAAS).[11] The system's characteristics are that density is expressed in g/cm3, force expressed in dynes and mechanical energy in ergs. Thermal energy was defined in calories,
one calorie being the energy required to raise the temperature of one
gram of water from 15.5 °C to 16.5 °C. The meeting also recognised two sets of units for electrical and magnetic properties – the electrostatic set of units and the electromagnetic set of units.[12]
The EMU, ESU and Gaussian systems of electrical units
Several systems of electrical units were defined following discovery of Ohm's law in 1824.
International System of Electrical and Magnetic Units
The CGS units of electricity were cumbersome to work with. This was
remedied at the 1893 International Electrical Congress held in Chicago
by defining the "international" ampere and ohm using definitions based
on the metre, kilogram and second.[13]
Other early electromagnetic systems of units
During the same period in which the CGS system was being extended to
include electromagnetism, other systems were developed, distinguished by
their choice of coherent base unit, including the Practical System of
Electric Units, or QES (quad–eleventhgram–second) system, was being
used.[14]: 268 [15]: 17 Here, the base units are the quad, equal to 107 m (approximately a quadrant of the earth's circumference), the eleventhgram, equal to 10−11 g,
and the second. These were chosen so that the corresponding electrical
units of potential difference, current and resistance had a convenient
magnitude.
MKS and MKSA systems
In 1901, Giovanni Giorgi
showed that by adding an electrical unit as a fourth base unit, the
various anomalies in electromagnetic systems could be resolved. The
metre–kilogram–second–coulomb (MKSC) and metre–kilogram–second–ampere (MKSA) systems are examples of such systems.[16]
The International System of Units (Système international d'unités
or SI) is the current international standard metric system and is also
the system most widely used around the world. It is an extension of
Giorgi's MKSA system – its base units are the metre, kilogram, second,
ampere, kelvin, candela and mole.[10]
The MKS (metre–kilogram–second) system came into existence in 1889, when
artefacts for the metre and kilogram were fabricated according to the
Metre Convention. Early in the 20th century, an unspecified electrical
unit was added, and the system was called MKSX. When it became apparent
that the unit would be the ampere, the system was referred to as the
MKSA system, and was the direct predecessor of the SI.
Metre–tonne–second systems
The metre–tonne–second system of units (MTS) was based on the metre, tonne and second – the unit of force was the sthène and the unit of pressure was the pièze. It was invented in France for industrial use and from 1933 to 1955 was used both in France and in the Soviet Union.[17][18]
Gravitational systems
Gravitational metric systems use the kilogram-force (kilopond) as a base unit of force, with mass measured in a unit known as the hyl, Technische Masseneinheit (TME), mug or metric slug.[19] Although the CGPM passed a resolution in 1901 defining the standard value of acceleration due to gravity to be 980.665 cm/s2, gravitational units are not part of the International System of Units (SI).[20]
International System of Units
The International System of Units is the modern metric system. It is
based on the metre–kilogram–second–ampere (MKSA) system of units from
early in the 20th century. It also includes numerous coherent derived
units for common quantities like power (watt) and irradience (lumen).
Electrical units were taken from the International system then in use.
Other units like those for energy (joule) were modelled on those from
the older CGS system, but scaled to be coherent with MKSA units. Two
additional base units – the kelvin, which is equivalent to degree Celsius for change in thermodynamic temperature but set so that 0 K is absolute zero, and the candela, which is roughly equivalent to the international candle unit of illumination – were introduced. Later, another base unit, the mole, a unit of mass equivalent to Avogadro's number of specified molecules, was added along with several other derived units.
The system was promulgated by the General Conference on Weights and Measures (French: Conférence générale des poids et mesures – CGPM) in 1960. At that time, the metre was redefined in terms of the wavelength of a spectral line of the krypton-86[Note 2] atom, and the standard metre artefact from 1889 was retired.
Today, the International system of units consists of 7 base units
and innumerable coherent derived units including 22 with special names.
The last new derived unit, the katal for catalytic activity, was
added in 1999. All of the base units except the second are now realised
in terms of exact and invariant constants of physics or mathematics,
modulo those parts of their definitions which are dependent on the
second itself. As a consequence, the speed of light has now become an
exactly defined constant, and defines the metre as 1⁄299,792,458 of the distance light travels in a second. Until 2019,
the kilogram was defined by a man-made artefact of deteriorating
platinum-iridium. The range of decimal prefixes has been extended to
those for 1024 (yotta–) and 10−24 (yocto–).
The International System of Units has been adopted as the
official system of weights and measures by all nations in the world
except for Myanmar, Liberia, and the United States. In the United
States, the Metric Conversion Act of 1975
declared the metric system to be the “preferred system of weights and
measures” but did not suspend use of customary units, and the United
States is the only industrialised country where commercial and standards
activities do not predominantly use the metric system.[21]
See also
Notes
Non-SI
units for time and plane angle measurement, inherited from existing
systems, are an exception to the decimal-multiplier rule
- A stable isotope of an inert gas that occurs in undetectable or trace amounts naturally
References
External links
McGreevy, Thomas (1997). Cunningham, Peter (ed.). The Basis of Measurement: Volume 2—Metrication and Current Practice. Chippenham: Picton Publishing. ISBN 978-0-948251-84-9.
"The International System of Units (SI), 9th Edition" (PDF). Bureau International des Poids et Mesures. 2019.
Alder, Ken (2002). The Measure of all Things—The Seven-Year-Odyssey that Transformed the World. London: Abacus. ISBN 978-0-349-11507-8.
"What is a mise en pratique?". BIPM. 2011. Retrieved 11 March 2011.
"OIML Mutual Acceptance Arrangement (MAA)". International Organization of Legal Metrology. Archived from the original on 21 May 2013. Retrieved 23 April 2013.
International Bureau of Weights and Measures (2006), The International System of Units (SI) (PDF) (8th ed.), pp. 121, 122, ISBN 92-822-2213-6, archived (PDF) from the original on 4 June 2021, retrieved 16 December 2021
Brewster, D (1830). The Edinburgh Encyclopædia. p. 494.
Working Group 2 of the Joint Committee for Guides in Metrology (JCGM/WG 2). (2008), International vocabulary of metrology – Basic and general concepts and associated terms (VIM) (PDF) (3rd ed.), International Bureau of Weights and Measures (BIPM) on behalf of the Joint Committee for Guides in Metrology, 1.12, retrieved 12 April 2012
Good, Michael. "Some Derivations of E = mc2" (PDF). Archived from the original (PDF) on 7 November 2011. Retrieved 18 March 2011.
International Bureau of Weights and Measures (2006), The International System of Units (SI) (PDF) (8th ed.), pp. 111–120, ISBN 92-822-2213-6, archived (PDF) from the original on 4 June 2021, retrieved 16 December 2021
International Bureau of Weights and Measures (2006), The International System of Units (SI) (PDF) (8th ed.), p. 109, ISBN 92-822-2213-6, archived (PDF) from the original on 4 June 2021, retrieved 16 December 2021
Thomson, William; Joule, James Prescott; Maxwell, James Clerk; Jenkin, Flemming (1873). "First Report – Cambridge 3 October 1862". In Jenkin, Flemming (ed.). Reports
on the Committee on Standards of Electrical Resistance – Appointed by
the British Association for the Advancement of Science. London. pp. 1–3. Retrieved 12 May 2011.
"Historical context of the SI—Unit of electric current (ampere)". The NIST Reference on Constants, Units and Uncertainty. Retrieved 10 April 2011.
James Clerk Maxwell (1954) [1891], A Treatise on Electricity & Magnetism, vol. 2 (3rd ed.), Dover Publications
Carron, Neal (2015). "Babel of Units. The Evolution of Units Systems in Classical Electromagnetism". arXiv:1506.01951 [physics.hist-ph].
"In the beginning... Giovanni Giorgi". International Electrotechnical Commission. 2011. Archived from the original on 15 May 2011. Retrieved 5 April 2011.
"System of Measurement Units". IEEE Global History Network. Institute of Electrical and Electronics Engineers (IEEE). Retrieved 21 March 2011.
"Notions de physique – Systèmes d'unités" [Symbols used in physics – units of measure] (in French). Hydrelect.info. Retrieved 21 March 2011.
Michon, Gérard P (9 September 2000). "Final Answers". Numericana.com. Retrieved 11 October 2012.
"Resolution of the 3rd meeting of the CGPM (1901)". General Conference on Weights and Measures. Retrieved 11 October 2012.
