Ordinal vs cardinal

Cardinal and Ordinal Numbers Chart

A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five.

An Ordinal Number is a number that tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc.

Most ordinal numbers end in "th" except for:

one ⇒ first (1st)
two ⇒ second (2nd)
three ⇒ third (3rd)

Cardinal		Ordinal
1	One	1st	First
2	Two	2nd	Second
3	Three	3rd	Third
4	Four	4th	Fourth
5	Five	5th	Fifth
6	Six	6th	Sixth
7	Seven	7th	Seventh
8	Eight	8th	Eighth
9	Nine	9th	Ninth
10	Ten	10th	Tenth
11	Eleven	11th	Eleventh
12	Twelve	12th	Twelfth
13	Thirteen	13th	Thirteenth
14	Fourteen	14th	Fourteenth
15	Fifteen	15th	Fifteenth
16	Sixteen	16th	Sixteenth
17	Seventeen	17th	Seventeenth
18	Eighteen	18th	Eighteenth
19	Nineteen	19th	Nineteenth
20	Twenty	20th	Twentieth
21	Twenty one	21st	Twenty-first
22	Twenty two	22nd	Twenty-second
23	Twenty three	23rd	Twenty-third
24	Twenty four	24th	Twenty-fourth
25	Twenty five	25th	Twenty-fifth
…	…	…	…
30	Thirty	30th	Thirtieth
31	Thirty one	31st	Thirty-first
32	Thirty two	32nd	Thirty-second
33	Thirty three	33rd	Thirty-third
34	Thirty four	34th	Thirty-fourth
…	…	…	…
40	Forty	40th	Fortieth
50	Fifty	50th	Fiftieth
60	Sixty	60th	Sixtieth
70	Seventy	70th	Seventieth
80	Eighty	80th	Eightieth
90	Ninety	90th	Ninetieth
100	One hundred	100th	Hundredth
…	…	…	…
1000	One thousand	1000th	Thousandth

Cardinal Numbers vs. Ordinal Numbers – What’s the Difference?

It seems difficult to comprehend, but numbers can be used for other purposes than signifying quantity.

Sometimes, for instance, you might want to outline a sequence of events in the correct order. Other times, you might want to describe your favorite sports team’s position in the standings or relay the finishing order of contestants in a race.

To simplify these pursuits, English has both cardinal and ordinal numbers. Cardinal numbers are what most people think about when they think about numbers, but ordinal numbers have many important uses, especially in sports journalism, technical writing, and other fields.

Continue reading for a thorough explanation of these terms.

What is the Difference Between Cardinal and Ordinal Numbers?

In this post, I will compare cardinal vs. ordinal numbers. I will include several example sentences for each term, to give you an idea of their use in context. I will also describe a useful memory tool you can use to determine whether you should use cardinal or ordinal numbers in your own writing.

When to Use Cardinal Numbers

What is a cardinal number? Cardinal numbers are numbers that describe quantity, like one pot, two kettles, or three pans.

Here are some examples,

Cardinal numbers can be used to describe the quantity of shirts sold by an apparel retailer.
Mathematicians manipulate cardinal numbers in many of their equations.
There is presumably a cardinal number that describes how many mosquitoes are in the river flats, but the number is too absurdly high to count.

Here is an example of a newspaper using cardinal numbers,

The most conservative calculations estimate Americans will need to have about eight to 10 times their annual salary saved for retirement, she said. –The Washington Post

When to Use Ordinal Numbers

What is an ordinal number? Ordinal numbers are numbers that signify relative position, like first in line at the café, second person to comment on Brenda’s new glasses this morning, or third time Kendall has had to tell her friends that she works Friday nights and can only go dancing on Saturdays.

Here are some more examples,

You can use ordinal numbers to describe the National League Central Division standings, and in 2016, there was only one day on which you could say that the Chicago Cubs were not in first place.
Ordinal numbers can describe the order in which a sequence of events takes place.
Avenues in some cities are named for ordinal numbers.

Here is an example of a newspaper using ordinal numbers,

This year, there are no limits on the Yankees’ ace, who has been very crisp in bullpen sessions and anointed the Opening Day starter for the third straight season. –New York Post

Trick to Remember the Difference

Numbers can be confusing, and remembering ordinal numbers vs. cardinal numbers is no easy task for many writers.

Luckily, there is a simple mnemonic that can help. As long as you remember to associate ordinal numbers with order, you should have no trouble knowing what these words mean.

Summary

Is it ordinal or cardinal numbers? Ordinal and cardinal numbers are different but related.

Cardinal numbers signify quantity.
Ordinal numbers signify order or position.

Math and writing are difficult to mix well, but if you remember that ordinal numbers represent order, you will be well on your way to writing coherently about different kinds of numbers.

In summary, ordinal means order, while cardinal means quantity.

Don’t undermine your credibility over a poor choice of words. Be sure to use this site as a reference for all your writing needs.

Contents

1 What is the Difference Between Cardinal and Ordinal Numbers?
2 When to Use Cardinal Numbers
3 When to Use Ordinal Numbers
4 Trick to Remember the Difference
5 Summary

Ordinal analysis | Dewesoft

An indispensable tool for assessing the condition of rotating machines (resonances, stable operating points, causes of vibrations). Combining with other mathematical modules - analysis of vibrations, internal combustion engines and electricity - further expands its capabilities. Ordinal analysis - cardiogram for machines

Ordinal analysis is used to analyze noise and vibration signals from rotating and reciprocating machines operating at constant or variable speed. It can be used to diagnose generators, internal combustion engines, compressors, turbines, pumps and rotating shafts. nine0003

The Dewesoft solution has the unrivaled power of the . It can be combined with other types of measurement and analysis—orbit analysis, angular vibration analysis, internal combustion engine analysis, and power analysis—to provide the , the only solution on the market with a complete set of tools for rotating machine analysis.

Dewesoft offers a convenient real-time ordinal analysis solution at an affordable price, backed by an industry-leading 7-year warranty, lifetime free updates, and technical support. nine0003

Order Calling an expert

Key features

REAL TIME RESULTS FOR UNLIMITED CHANNELS . Dewesoft's ordinal analysis solution can collect, save, visualize and calculate data from an unlimited number of channels in real time. Several rotating machines can be analyzed simultaneously.
WIDE FUNCTIONALITY . The Dewesoft system is very versatile and supports many additional advanced machine dynamic analysis features such as FFT, Orbit and Angular Vibration Analysis. In addition, various types of sensors can be connected to the system and data can be collected from vibration, deformation, temperature, video, sound and other channels with their precise synchronization.
TIME, FREQUENCY AND ORDER DOMAIN . With a high sampling rate and an advanced alias-free resampling mechanism, data is available in three domains (time, frequency, and order) at once, displayed on the same screen in perfect synchronization, and stored in one file. nine0028
EXTRACTION OF HARMONIC ORDERS . Support for full or partial extraction of amplitude and phase orders with different display options in relation to rotational speed and in the time domain. An unlimited number of orders can be displayed on 2D or 3D plots.
ANGLE SENSOR SUPPORT . Supports all types of angle encoders: tachometers, encoders, gear tooth position sensors, including skip and double tooth, belt encoders, and analog angle encoders. SuperCounter technology allows you to determine the angle and speed of rotation with a resolution of 10 nanoseconds and perfect accuracy. nine0028
DIRECT SUPPORT FOR GEARBOX . Take advantage of a single speed source and perform extraction on the various gear stages of the machine using the splitter and multiplier functions of the tachometer.
RICH VISUALIZATION . Frequency, 2D and 3D graphs are excellent tools for determining machine status. Nyquist, Bode, and Campbell plots can be used to display data, and orbital analysis with raw or order display will become an indispensable tool for analyzing turbomachinery. nine0028
ADJUSTABLE AVERAGE AND UPDATE CRITERIA . To avoid jumps between spectral blocks, you can set the speed delta and hysteresis to allocate the frequency range to the appropriate blocks for calculation. You can also select the data collection method: continuous or center blocks. The block update criteria determines the method for calculating the order spectrum in them. Calculations are available on the first spectrum, continuous calculation, averaging, as well as calculation on max. value. nine0028
ADVANCED MATH FUNCTIONS . Analyze the order spectrum against time, speed, or other custom reference channel on 3D spectrograms. Select reference channels and correlate the measured physical characteristics with the order spectrum. For example, order levels can be mapped to temperature, wind speed, flow, or thrust. A single click is all it takes to create a comparison of FFT stages and orders relative to speed or other value. nine0028
LONG-TERM MONITORING POSSIBILITIES . Orbits (raw, averaged, h2, h3, etc.), FFTs, waterfall plots, Bode plots, and polar plots can be loaded into the Historian time series database for long-term or ongoing equipment health monitoring.
SUPPORT FOR TEDS SENSORS . Dewesoft systems automatically detect accelerometers and angle sensors that are TEDS IEEE 1451.4 compliant—just plug in and get started. nine0028
DEWESOFT QUALITY . Take full advantage of the Dewesoft 7 year warranty. We guarantee the highest quality of our products. Your investment in a Dewesoft modal testing and analysis solution is well protected.
LIFETIME FREE SOFTWARE UPDATES AND SUPPORT . Award-winning Dewesoft X data acquisition software included. The software package is constantly evolving with new features added. We offer FREE lifetime software updates and maintenance for all of our users. nine0028

What is order tracking analysis?

Order analysis is a method for analyzing noise and vibration signals in rotating or reciprocating equipment (motors, compressors, turbines and pumps). These machines are made up of many parts, each of which contributes to the noise and vibration characteristics of the entire machine.

What are the order tracking analysis applications?

Order tracking is used in the development or condition monitoring of rotating equipment such as engines, power units, turbines, pumps, compressors, electric motors, air handling units, etc. Order tracking applications:

Investigation and troubleshooting of rotating equipment.
Determination of critical speeds
Transmission faults
Bearing element failures
Mechanical leakage
Unbalance
Bent shaft
Misalignment
Electrical faults in engines
Cavitation in pumps
Separation of rotational and structure-borne noise and vibration phenomena
Other vibration related problems such as gears, belts, fans, pumps, compressors and turbines

What tools do I need to perform order tracking analysis?

To perform an order analysis, you will need one vibration sensor (usually an accelerometer, microphone, or pressure sensor) mounted on the chassis of the machine, and an angle sensor to read the revolutions of the rotating shaft.

Both sensors must be time synchronized and connected to a data acquisition (DAQ) system for reading. After reading the data, you will need data analysis software to perform order tracking analysis. nine0003

Can order tracking analysis be carried out without a speed sensor?

Dewesoft only allows you to perform order tracking analysis with an accelerometer sensor. To obtain the motor speed, a mathematical calculation of the exact frequency is used with the ability to track the first harmonic.

This math calculates the frequency of the highest FFT peak and can be used later in order tracking analysis instead of reading from an external RPM sensor. See this guide for more information. nine0003

What is an engine order?

We refer to motor orders or vibration harmonics when describing multiples of the fundamental frequency. So, again using the engine as an example, a 4-cylinder 4-stroke engine generates 2 combustion events per engine revolution.

How is order tracking calculated?

How are orders tracked?
Order tracking is performed by measuring a signal, usually vibration, and calculating the FFT for each predefined region (class) of rotation speed. nine0003

What is displayed in the FFT waterfall over time?

The FFT vs. Time waterfall displays the FFT calculated from the received signal each time it was calculated. This gives you an overview of all calculated FFTs during the measurement.

What is displayed in the FFT waterfall compared to RPM?

Unlike the FFT-versus-time waterfall, which is updated every time the FFT is calculated, the FFT-versus-speed waterfall is updated at a predetermined speed change. nine0003

What is displayed in the Order FFT waterfall compared to RPM?

Waterfall order FFT vs. RPM displays the harmonics and their amplitudes as a function of the speed of a rotating shaft.

Reporting under accelerated standards - Newspaper Kommersant No. 30 (6024) dated February 17, 2017

1K 3 min. ... nine0003

The Bank of Russia is tightening reporting requirements for non-state pension funds. According to the new directive of the regulator, NPFs will not only report on transactions with related parties and the composition of the investment portfolio, but also provide detailed information on obligations to customers. The document may enter into force next month.

Photo: Yuri Martyanov, Kommersant / buy photo

The Central Bank's draft instruction "On the forms, terms and procedure for submitting NPF reports to the Bank of Russia ..." (available to Kommersant) already has a serial number - 4282-U, which indicates a high degree of readiness of the document. Kommersant's interlocutors point out that work on the document has been going on for about a year, and some of its parts were discussed with market participants. However, the surveyed pension groups and NPFs reported that there was no discussion of the final version of the document with the market. The Association of APFs (ANPF) has not yet received it, the National Association of Pension Funds (NAPF) reported that they were "closely studying" the received document. nine0003

As follows from the document, which is supposed to replace the four current orders of the FFMS, the regulator is seriously tightening the reporting requirements for NPFs: both in quantitative terms (four new monthly reports, six quarterly and two annual reports are introduced), and in qualitative terms. Now the interim reporting of funds is available only to the regulator. Most NPFs publicly disclose financial information only once a year. With the entry into force of the new directive, the situation will change dramatically. "The interim accounting (financial) statements of a non-state pension fund must be disclosed within 40 calendar days after the end of the first quarter, first half of the year and nine months of the calendar year on the official website of the NPF," the press service of the Bank of Russia said. According to the Central Bank, an increase in the frequency of reporting by NPFs will allow "increasing the transparency of market participants for the regulator to implement better supervision." nine0003

In the new reporting, it will be necessary to regularly provide the Central Bank with data on transactions with related parties, a detailed report on expenses and income on own funds, provide information on the structure of the portfolio, and much more. Some of these data, if presented earlier, were not so detailed or at a separate request from the regulator. "With the introduction of new reporting requirements, the regulator is moving from formal monitoring of management indicators to full control over changes in the activities of NPFs," says Yevgeny Yakushev, executive director of NPF Safmar. "In combination with the accounting standards already put into effect, the Bank of Russia will get a complete picture of the fund's activities: the composition and movement of assets, the formation of a client base, information about the owners and management personnel of the fund," he notes. In addition, pension funds will have to provide the regulator with personalized information on obligations to clients (both for OPS and for NPOs). "This is a large amount of information, and it is not yet clear how and in what format it will be provided," says Denis Rudomanenko, general director of NPF LUKOIL-Garant. nine0003

At the same time, the terms for submitting financial statements are significantly reduced. For example, annual financial statements must be submitted to the Central Bank within 35 calendar days after the end of the year, previously 90 days were allotted for this, says Elena Tetyunina, deputy general director of NPF Sberbank. Preparing reports on new forms is in itself a non-trivial task, which, in the case of NPFs, is also complicated by the transition to a single chart of accounts, says Andrey Neverov, member of the board of directors of NPF Consent. nine0003

For management companies, increased reporting requirements (except for actuarial valuations) have been in effect since their inception.