Degree Symbol in Maths – ° Degree Symbols

degree symbol

This article is about “grade” as it is used in the area of mathematics. For other meanings of this word, see grade .In mathematics there are different meanings of the word degree depending on the mathematical area in question. All definitions result in a natural number that expresses the degree .

Degree of a Polynomial

In algebra degree of a polynomial is the maximum degree of the exponents of the variables of the monomials that compose it. Each degree has basically the same meaning when it refers to a polynomial or an algebraic equation. Consequently, the first definition that may need to be revised is that of the monomial, considered by elementary algebra as a basic algebraic expression, which is made up of a combination of numbers and letters (raised to positive integer exponents, including zero) between which there are no subtraction, addition or division operations, being then the only ones allowed, the multiplication raised between the numeric element (coefficient) and the non-numeric element (literal or variable) as well as the potentiation that occurred between the literal and its exponent.

The degree of a polynomial of a variable is the maximum exponent that the monomial has on the variable; For example, in 2 x 3 + 4 x 2 + x + 7, the term with the highest degree is 2 x 3 ; this term has a power of three on the variable x, and is therefore defined as degree 3 or third degree .

For polynomials of two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree of the polynomial will be the monomial of the highest degree. For example, the polynomial x 2 y 2 + 3 x 3 + 4 y has a degree of 4, the same degree as the term x 2 and 2 .

Degree Of Congruence

Yes {\ displaystyle \ textstyle f (x) = a_ {n} x ^ {n} + a_ {n-1} x ^ {n-1} + \ cdots + a_ {1} x ^ {1} + a_ {0 } x <0}{\ displaystyle \ textstyle f (x) = a_ {n} x ^ {n} + a_ {n-1} x ^ {n-1} + \ cdots + a_ {1} x ^ {1} + a_ {0 } x <0} is a polynomial with integer coefficients, the degree of congruence of {\ displaystyle \ textstyle f (x) \ equiv 0 {\ pmod {m}}}{\ displaystyle \ textstyle f (x) \ equiv 0 {\ pmod {m}}}is the largest positive integer j such that a j is not congruent with zero with respect to modulus m .

Equation Theory

In algebraic equation theory , the degree of an equation corresponds to the maximum power to which the algebraic unknown in the equation is raised. For example:{\ displaystyle x ^ {3} y + 4x-y = 2xy \, \!}{\ displaystyle x ^ {3} y + 4x-y = 2xy \, \!}the equation is of the third degree in x , being of the first degree in the unknown y . See: Equation of second degree , Equation of third degree , Equation of fourth degree , Equation of fifth degree , etc.

Degree of an extension

In algebra it has the extension body and the degree therein is defined as any vector space with basis you can calculate the dimension of{\ displaystyle L}L as vector space over {\ displaystyle K}K, denoted by {\ displaystyle \ dim _ {K} (L)}{\ displaystyle \ dim _ {K} (L)}. {\ displaystyle L: K}{\ displaystyle L: K} to the dimension of {\ displaystyle L}L What {\ displaystyle K}K-vectorial space: {\ displaystyle [L: K] = \ dim _ {K} (L)}{\ displaystyle [L: K] = \ dim _ {K} (L)}.

Graph theory

In Graph Theory , the degree or valence of a vertex is the number of edges incident to the vertex. The degree of a vertex x is denoted by degree (x) , g (x) or gr (x) (although δ (x) is also used , and from English d (x) and deg (x) ). The maximum degree of a graph G is denoted by Δ (G) and the minimum degree of a graph G is denoted by δ (G) .

Degree of freedom (statistics)

In statistics , degrees of freedom , an expression introduced by Ronald Fisher , says that, from a set of observations, the degrees of freedom are given by the number of values that can be arbitrarily assigned, before the rest of the variables take a value automatically, the product of establishing those that are free; this, in order to compensate and equalize a result which has been previously known. They are found by the formula{\ displaystyle nr}{\ displaystyle nr}, where n is the number of subjects in the sample that can take a value and r is the number of subjects whose value will depend on the number taken by the members of the sample who are free. They can also be represented by{\ displaystyle kr}{\ displaystyle kr}, where {\ displaystyle k}k= number of groups; this, when operations are carried out with groups and not with individual subjects.

When it comes to eliminating statistics with a set of data, the residuals – expressed in vector form – are found, usually in a space of less dimension than that in which the original data were found. The degrees of freedom of the error are determined precisely by the value of this smallest dimension.

This also means that the residuals are restricted to being in a space of dimension {\ displaystyle n-1}n-1 (in this example, in the general case a {\ displaystyle nr}{\ displaystyle nr}) since, if the value of {\ displaystyle n-1}n-1of these residues, the determination of the value of the remaining residue is immediate. Thus, it is said that «the error has{\ displaystyle n-1}n-1 degrees of freedom »(the error has {\ displaystyle nr}{\ displaystyle nr} general degrees of freedom).

 

 

 

° Degree Symbol Alt Code

Windows ALT Code List (ASCII Symbols) – The ALT codes also known as symbols keyboard , symbols ALT or correctly symbols ASCII (For its acronym in English: American Standard Code for Information Interchange ) is a coding pattern that is used in computing.

 

Taking as an example the common characters that are the letter eñe lowercase ñ or uppercase Ñ or vowels with accent, for example lowercase a with accent á, lowercase e with accent é, etc.
To type any of these with the keyboard in Windows we must perform the following steps:

Press the “ALT” [keybt] ALT [/ keybt] key on the keyboard without releasing.

Holding down the previous one we must write with the numeric keyboard the code corresponding to the ALT symbol to write for example: “165” [keybt] 1 [/ keybt] + [keybt] 6 [/ keybt] + [keybt] 5 [/ keybt] which is the code or number corresponding to the letter or symbol “Ñ” capital letter.
Release the “ALT” key [keybt] ALT [/ keybt] and the character should appear or be displayed.
Summary steps for typing an ALT symbol

Hold down the “ALT” key

Without releasing the previous one write the code; “ALT” + Codes.

Release “ALT” key

What is the ASCII code for the degree sign symbol?

The degree sign extended ASCII code displayed with the “°” symbol is 248.
For the representation of the degree sign in any computer text, it must be taken into account that it must use ASCII code or an extension that is compatible. If this is compatible, in any text editor, applying the keyboard combination ALT + 248 will return the “°” symbol.

Nowadays almost all computer systems (computers, mobile phones, tablets …) usually accept this code without problem and represent the symbols without problem, however, some may not interpret them making that when indicating the ASCII code 248 (American Standard Code for Information Exchange) an error symbol is displayed instead of the “°” symbol.
It should be remembered that many text editors allow searching in the different symbols in their options panel to facilitate the writing of the symbol «°» without having to know the extended ASCII code that corresponds to it, in this case by combining ALT + 248 .

How To Make Faces And Symbols Using ASCII Code

It hasn’t happened to you that you need to write a special character like ñ or @ and you don’t know how to write it or where to find it. This may be due to a bad configuration of the keyboard language in your operating system. Surfing the internet I found a solution, which is the one that I am going to show you next, we are going to see a little theory. It is about using the famous ASCII code to be able to obtain any symbol regardless of the language of the keyboard of the operating system in which we are working.

What Is ASCII Code ?

ASCII is the acronym for American Standard Code for Information Interchange in Spanish stands for American Standard Code for Information Interchange generally pronounced Aski . It is based on the Latin alphabet, as used in modern English. It was created in 1963 by the American Standards Committee (ASA),

How To Use?

To create these characters, hold down the “alt” key on your keyboard and type the numbers on the right side of the keyboard (numeric keypad) and then release the buttons and the symbol will appear. This is a great way to experiment with new symbols, signs, and characters. It’s also good if a button or letter on the keyboard stops working, because you can still type with the number pad. Just look down the list to find the one you need.

How to type the ° (degrees) symbol in Word 2016 and Word 2019

Perhaps the most utilized applications today for report the board in Microsoft Word  Thanks to this program, we have the possibility of creating text files with different options such as graphs or tables. In addition, sharing a Word document is something quite simple, since we can do it through the mail for example, being a compatible format on both Windows and Mac.

 

In spite of the fact that Word offers us many alternatives to deal with the data in the most ideal manner, in some cases we wind up confronted with the need to enter certain unique characters and we do not know how to do them or we must resort to the ASCII table to know which combination of keys we can use to get that symbol or character.

That is why today Solvetic will analyze the different practical ways of entering said text in our Word 2016 and Word 2019 documents.

If we are on computers with Windows operating systems we will press the Alt key and the numbers 0176 or 248, then we release the Alt key and the degree symbol will appear automatically.
Alt+ 0176 / 248

If we are on computers with macOS operating systems, it will be necessary to use the key combination Option + Shift + 8 to add this symbol.

The Symbols Of the Degrees Of Temperature

degree symbol for temperature

Typography

On account of levels of rakish bend, the degree image follows the number with no space in the middle, for instance 30 °. The addition of minutes and seconds of arc units follows the units of degree, with spaces between the units but no spaces between the numbers and arc symbols, for example, 30 ° 12 ′ 5 ″.

degree symbols in temperature

For temperature degrees, three engineering and scientific standards bodies (the International Bureau of Weights and Measures, the International Organization for Standardization, and the United States Government Printing Office) prescribe printing temperatures with a space between the number and the degree symbol, for example 10 ° C. However, in many works with professional typesetting, including scientific papers published by the University of Chicago Press or Oxford University Press, the degree symbol is printed without spaces between the number, the symbol and the Latin letters “C” or “F” representing Celsius or Fahrenheit, respectively, p. ex. 10 ° C. This is also the practice of the University Corporation for Atmospheric Research,

Although not recommended, the degree symbol without the next Latin letter is used without a space between the number and the symbol, for example, 10 °; this is considered more acceptable if the temperature standard is not known, but it is recommended in this case that the entire word (eg 10 degrees) be used instead of the symbol. The use of the degree symbol to refer to temperatures measured in degrees Kelvin (symbol: K) was abolished in 1967 by the 13th General Conference on Weights and Measures (CGPM). Therefore, the triple point of water, for example, is simply written as 273.16 K. The name of the SI unit of temperature is now “kelvin”, in lower case, and no longer “degrees Kelvin”.

TEMPERATURE

Physical quantity that indicates the ability of a body to transfer or absorb heat from the environment or from another body in contact with it. In practice, a body’s temperature measurement represents an indication of “how hot or cold” the body is. The instruments used to carry out temperature measurements are thermometers, based on different properties of certain substances (thermal expansion or thermoelectric effect) to give a value of said magnitude in relation to the conventionally established scale.

degree symbol in temperature

The most widely used unit of measure is the degree centigrade (symbol ° C), which corresponds to one hundredth of the temperature interval between the melting and boiling points of distilled water at 1 atm, which adopt conventional and respectively the values of 0 ° C and 100 ° C. This temperature scale is also called the Celsius scale. Another scale, used in Anglo-Saxon countries, is Fahrenheit (symbol ° P), according to which 0 and 100 of the Celsius scale correspond, respectively, to 32 and 212 ° P. The scale is obtained by matching the indication of 100 ° F to the temperature of the human body (36 ° C). The Réaumur scale (symbol ° R) has also been used, in which 0 and 100 ° C correspond respectively to 0 and 80 ° R.

In thermodynamics, temperature is usually measured in ° C, referring it, however, to the so-called absolute scale or Kelvin (symbol ° K). The temperature in degrees Kelvin corresponds to the temperature, in degrees Celsius, measured with respect to absolute zero (-273.16 ° C). Between the Celsius scale and the absolute scale there is thus the relationship r (° K) = É (° C) + 273.16.

Measuring the temperature

Now that you know the difference between heat and temperature and their relationship, we are going to know which are the most used scales to measure temperature.

When you have suspected a fever, you have most likely measured your temperature with a thermometer . Thermometers are used to measure temperature according to well-defined measurement scales.

The three most common temperature scales are: Celsius, Fahrenheit, and Kelvin. A temperature scale can be made by distinguishing two effectively reproducible temperatures. The boiling temperatures (change from liquid to vapor state) and melting (change from solid to liquid state) of water, at one atmosphere of pressure, are examples of parameters used.

Celsius and Fahrenheit

Although most countries use the Celsius or Centigrade scale, some use the Fahrenheit scale, so it is good to know them and know how their units can be converted, in order to understand each other.
The Celsius scale (\ degree C° Cdegree, C) takes into account the value 0 \ degree0 °0, degree for the melting point of water, while the boiling point of water corresponds to 100 \ degree1 0 0 °100 degree.

degree celsius

 

In the case of the Fahrenheit scale (\ degree F)° F )degree, F, right parenthesis, the most used in the United States for example, the melting point of water is at 32 \ degree3 2 °32, degreeFFF and boiling at 212 \ degree2 1 2 °212, degreeFFF.

 

It is very important to remember that the variation in temperature of one degree Celsius is greater than the variation in temperature of one degree Fahrenheit. Only100 \ degree1 0 0 °100 degree CCC cover the same range as 180 \ degree1 8 0 °180 degree FFF.

 

 

How to add a step symbol to Microsoft Power Point

degree symbol

You will not find ° (degree symbol) on your keyboard. Insert a step symbol into Microsoft PowerPoint in two ways, both of which are detailed below.

degree symbol

Insert a step symbol using the PowerPoint ribbon

 

  1. Select the text box on the slider where you want to place the step symbol.
  2. On the ” Insert ” tab select “Symbol”  In some versions of PowerPoint, this option appears on the right hand side of the menu.
  3. In the window that opens, make sure the “Font:” (plain text) menu is selected ,  which in another menu – ” Superscripts and Subscripts” .
  4. At the bottom of this window, next to “from” select, ASCII (decimal) .
  5. Scroll until you get a step signal.
  6. Click on the ” Insert” below.
  7. Click ” Close”, close the ” Symbol ” and return to the PowerPoint document.

PowerPoint will probably not prompt you to confirm that you have completed Step 6.. After the ” Insert” if you want to make sure the degree mark has actually been inserted, move the dialog to the side or close it to check.

 

Enter a step symbol using a keyboard shortcut

Keyboard shortcuts are more powerful, especially when entering characters like this one, where you would have to scroll through a list of dozens of other characters to find the right one.

In fact, this method does not work no matter where you are, including in email, web browser, etc.

Use your standard keyboard to enter a step symbol

  1. Choose exactly where you want the step sign to go.
  2. Use the power character hotkey to enter a character: Alt + 0176 .
    That is, hold down the Alt key , and then use the keyboard enter 0176  After entering numbers, you can release the Alt key to see the [°] step symbol.
    If this step does not work, make sure that the keyboard does not work the keyboard is not locked (i.e enable num locking). If enabled, the keyboard will not accept numeric values. You cannot insert a degree symbol using the top row of numbers.

degree symbol

Without numeric pad

Each Fn laptop keyboard has a function key It is used to access additional features that are not normally available due to the smaller number of keys on a standard laptop keyboard.

If you do not have a keyboard on your keyboard, but have function keys, try this:

  1. Hold the Alt and Fn keys together.
  2. Find the keys corresponding to the function keys (same colors as the Fn keys).
  3. As above, press the keys showing 0176, then release the Alt and Fn keys to enter the step symbol.

Celsius degree symbol – Degrees centigrade icon on the keyboard

Degree Symbol

When writing scientific or highly specialized texts, special values ​​are needed, as well as other non-standard signs. It can be scientific articles, courses or other data where you need to know how to put a mark in Word or a similar symbol.

How to insert special characters in Word – in our new article

Many beginners, when trying to establish non-standard designations, are looking for them on the Internet to copy. This method is quite time consuming, as you must perform a similar procedure for each character. Also, not everyone knows the brand name like diameter.

Degree Symbol

Easier Method

There are several common methods that are suitable for a comprehensive solution for all designations, and each one individually. To work with special characters, the Windows operating system provides a special table that allows you to place these indicators directly in the document. In this way, you can insert a paragraph, diameter, degrees, tick and others.

It’s on the “Insert” toolbar. You need to click on the “Symbols” icon and then select the additional “Other” menu. Before the user opens a window with a large set of all possible values. They can be selected and inserted at the established position in the document. For your convenience, there are selection criteria, such as “Mathematics”, “Latin” and “Logic”, to facilitate the search for the required brand.

Use the “Insert” panel and find the “Character” command there.

The arrow can be entered in the same way. It comes in various versions in the stock panel. If a non-standard or elongated view is required, the “Insert” parameter provides a “Shapes” window, from where the arrow can be taken to work in any length and various graphic versions.

Hot keys

This method is best suited for those who should have regular access to symbols, such as diameter or paragraph. It does not require the installation of additional programs, you only need to press a combination of keys. You must first hold down the Alt button on the keyboard and then dial a number combination on the primary or secondary keyboard.

To set the diameter, you need to enter the numbers 0216. When the user presses Alt, the entered data will change to the desired value. This sign is useful when creating drawings, documents for layout, as well as promotional products. The diameter is in the shape of a crossed out letter “o”.

The paragraph is made in the form of two letters “s”. Previously, it was a required attribute on typewriters, but today the paragraph is used in automatic mode or with special insertion. Using a similar method with the Alt button pressed, you should enter 0167. The combination will become a paragraph. In the same way, you can insert degrees Celsius, which is placed in the combination 0186 or 0176.

Other forms

Degree can also be put into hexadecimal code. To do this, instead of the required character, you must dial 00BA. This special designation changes to a sign after pressing the Alt + X combination. There is a “superscript” icon on the main page. After pressing the cursor, it will move to the upper position of the entered value. Just press the letter “o” or the number “0” to accept the value of the degree.

In this way, special characters such as diameter, paragraph, and others are inserted when writing text files. The choice of method depends on personal preference and convenience. Over time, this happens automatically, so it only takes a little practice with either method.

– Percentage of percent sign Punctuation apostropher

– sign Division sign Punctuation apostrophe (‘)

– × multiplication sign (×) the mathematical sign of the multiplication operation. The multiplication sign is represented as a cross (×), period

– √ The sign of the root (the sign of the radical) in mathematics, the symbol of the roots, the default square. In the general case (for roots of degree n), the exponent is placed on the “bird”: the sign is used for cube roots, for roots of fourth degree …

– %% sign, more often indicating percentages. The origin of the designation

This term has other meanings, see Plus minus (meanings). ± ∓ The plus minus sign (±) is a mathematical symbol that is placed in front of a certain expression and means that the value of this expression can be both positive

Not to be confused with ʃ. ∫ The integral sign is used to denote an integral in mathematics. It was first used by the German mathematician and founder of the differential and integral calculus Leibniz in the late 17th century. Symbol (∫)

Tilde (Spanish tilde, from lat. Inscription Titulus) is the name of several typographic marks in the form of a wavy line. Contents 1 Diacritical mark 1.1 Superscript

– ¯ Macron (from Greek. Μακρόν) accent mark, represented as a bar above the symbol. In Unicode, a macron in the form of combined diacritics has the code U + 0304, and in the form of an independent character U + 00AF Use as a diacritic

The books

  • The treasure of the signs of the zodiac, or the veil of Isis, Omelchenko Yu. The book is written in the style of the “hero’s journey”, with a constant emphasis on esoteric values, easily defined by Astrology and esoteric Kabbalah, and ideally serves as a universal goal …

It is not uncommon when working with text documents, it is necessary to put some type of non-standard character or that is not on the keyboard. For example, the degree sign is used very often, but it is not on the keyboard. In this article, we will talk about how to place a degree sign with and without using the keyboard.

Method number 1. Alt + 248 key combination.

If you need to put a degree sign with the keyboard, perhaps the fastest and easiest way is to use the key combination Alt + 248. To use this key combination, place the cursor at the place in the text where there should be a degree sign . After that, hold down the Alt key on the keyboard and without releasing the Alt key, type the number 248 in the additional key block (on the right side of the keyboard, under Num Lock).

As a result, where the cursor was placed, a degree sign will appear. This key combination works in any program.

Method number 2. Alt + 0176 key combination.

There is also an Alt + 0176 key combination. It works the same way as in the previous method. You need to put the cursor where you need to put a degree sign, hold down the Alt key and don’t release, type 0176 on the additional keyboard.

celsius degree

 

After that, a degree sign will appear at the selected location. This key combination, like the previous one, works in any program.

How to put a degree sign without keyboard

If you cannot remember the key combinations described above, it may be more convenient for you to insert the degree sign without using the keyboard. This can be done with the help of the “Symbol Table” program, which is available in any version of Windows.

To do this, you first need to open the “Symbol Table” program. For example, you can click Windows-R and in the window that appears run the command “charmap.exe”.

In the “Character table” you need to find the degree sign, select it with the mouse and click the “Select” button.

After that, you need to click the “Copy” button and paste the degree sign in the correct place in the document using the CTRL-V key combination or the Paste command.

Therefore, you can put a degree sign in any document and any program.

The degree symbol will be extremely necessary when entering measurements, such as temperature values. Alt + 0176 key combination or drop down menu will help to set degree in Word.

Celsius degrees using the ribbon menu

It is important to indicate with the cursor where the degree icon is needed. Then go to the “Insert” tab, click on “Symbol” and go to “Other symbols”. A window will open with different variations of icons and letters.

Now it is important to specify the “Source” and the “Set”. On the “Font” tab, select “Times New Roman”, and on the “Set” tab, find “Additional Latin 1”. When properly configured, a new symbol design will appear in the window, including the degree icon. Select the temperature symbol and click the “Insert” button. Everything worked out!

How to write t with button degree combination?

To perform such manipulation with the keys under everyone’s power, you just need to remember the signal code. We write the text and stop at the place where it is necessary to indicate t with the degree sign. Next, we find the Alt button on the keyboard and press it, and now the main thing to remember is the character code and we type it. We remind you if someone forgot – 0176.

degree symbol

Note: you must dial the numbers on the additional numeric keypad shown in the following screenshot.

The image below shows how to find the character code “Celsius” to easily and quickly print the temperature signal in the future. First, put your cursor in the right place, type in the code for the icon, and hold down the Alt + x key combination (x – on the English keyboard layout) and you’re done.

And also when you use the icon for the first time, then it appears in the popup window to find and insert it quickly.

Is it possible to write a degree in letters or numbers?

The main Word layout in the “Home” section is a superscript icon, with which you can write a temperature sign above the reference line of all text. We look at the image and repeat it. Place the pointer in the right place, open the “Start” tab, find the “Superscript character” and press (light yellow), and then type the letter “O” or the number “0”. Who likes it more!

A typographic symbol in the form of a superscript circle, generally denoted as the dimension of angles and temperatures measured in degrees   , absent from the computer keyboard. However, it is in the encoding tables that the operating system uses to summarize the characters on the computer screen. He is among the first 128. marks   this table that allows him to use it even in the documents of the most primitive text formats, eg txt.

Instruction

1.   Use code 0176 to insert the degree icon in text documents. To do this, press the alt key and, without releasing it, type this code on the numeric keypad (optional). As you enter the code, nothing will change on the screen, and when you finish and release the alt key, the ° icon will appear at the location indicated by the input cursor.

2.   Start the Windows Character Map component, as an alternative to the insertion method for this symbol described above. You can do this, for example, by pressing the win + r key combination, typing the charmap command, and clicking the Enter key. In the symbol table of the window that opens, find the degree icon, double-click it, and click the “Copy” button. After that, switch to the edited document window and paste the copied symbol (ctrl + v).

3.   Use the key combination opt + shift + 8 if the operating system you are using belongs to the Mac OS family. It is this hotkey combination that you are assigned to insert a grade icon into documents.

4.   Paste hexadecimal code 00B0 (B – English letter), if you are working with documents in a Microsoft Office Word word processor. This code corresponds to the degree designation in the Unicode table, and Word can work with such symbol designations. After placing the input cursor at the place in the text where the degree sign should be, type this code and then press the alt + x key combination and the word processor will remove all four characters from the text, placing a single ° symbol .

5.   Use html character primitives if the degree sign must be placed in a hypertext document. To display this sign in the text of a web page, it is allowed to place a sequence of ° or ° characters: they both form the same ° icon.

Note!
To type the ° symbol on the keyboard, you need to hold down the ALT key, and on the auxiliary keyboard, type 0176 and release the ALT key after that. To print other characters, such as © ®, etc. I need to know the key code. This is the keycode, now activate Num Lock and press ALT and then on the auxiliary keyboard, type 0163 and release ALT. It is finally allowed to invariably call up a character table and copy characters from there, but this is neither fun nor sporty.

Good advice
How to enter missing characters on the keyboard? Let’s assume a trivial situation: you need to enter a special character in some text, but there is no key on the keyboard with such a character. How to be If you are working in a Word text editor, then there are no drawbacks: choose the Insert menu – \ u003e Symbol Yes, thanks, I already stumbled … I really didn’t find out right away. While I am writing the text in Notepad, it is not very comfortable to go up there all the time, for my taste, let’s say, exposing the elements of the list, degrees, mathematical signs

What is a Fahrenheit Degree

fahrenheit degree

The Fahrenheit degree (° F) is a temperature unit proposed by Gabriel Fahrenheit in 1724. The Fahrenheit degree is not a unit of the International System of Units.

On the Fahrenheit scale, the temperature changes in the state of water are as follows:

  1. The melting point of water is 32 degrees F.
  2. The boiling point of water is 212 degrees F.

A difference of 1.8ºF is equivalent to that of 1 degree Celsius . Fahrenheit adjusted the temperature to zero (0 ° F), at the freezing point of a 50% mixture of salt (ammonium chloride) and ice, and at 96 ° F, he measured the temperature of the blood (used that of the horses)

Figure 96 may seem a strange measure, but, in principle, the scale contained only twelve equal subdivisions, he himself divided each division into eight more, finally obtaining 96 divisions on his scale.

The conversion formulas for degrees Celsius and kelvin are:

° F = ° C⋅ (9/5) +32
° C = (° F -32) ⋅ 5/9
° F = K ° (9/5) -459.67
k = (° F +459.67) ⋅ 5/9

IN WHICH COUNTRIES IS THE FAHRENHEIT SCALE USED?

The Fahrenheit scale is officially used in five countries:

  • Bahamas.
  • Belice.
  • Cayman Islands.
  • Palace.
  • USA.

In addition, this unit is also unofficially used by the older generation in the United Kingdom, Australia, South Africa, Canada, Ireland, India and Jamaica. The reason is that this scale has also been used in these countries in the past. In other countries, the temperature is expressed in degrees Celsius , created 20 years later.

This scale is currently confined to Anglo-Saxon countries, especially the United States. The other Anglo-Saxon countries, however, are adapting to degrees Celsius, since since the 1960s, some governments have adopted policies with a tendency to adopt the International System and the use of ºF for temperature measurement has been replaced. .

The Fahrenheit scale, has absolute zero located at -459.67 ° F, to facilitate its scientific use, the Rankine scale was created. The Rankine scale raises 0 from the Fahrenheit scale to absolute zero, similar to what happens between the Kelvin scale and the Celsius scale .

WHO WAS DANIEL FAHRENHEIT?

Daniel Fahrenheit was a physicist, engineer and glassblower of Polish origin. He is the physicist responsible for creating the scale that bears his name to measure the temperature. He is also known for the invention of the alcohol thermometer (1709), mercury thermometer (1714) and the development of a scale to measure temperatures .

He is a pioneer of accurate thermometry, which helped lay the foundation for the era of precision thermometry, inventing the glass tube mercury thermometer and the Fahrenheit scale. Fahrenheit’s inventions marked the beginning of the first revolution in the history of thermometry. From the beginning of the 1710s until the beginning of the electronic age, glass and mercury thermometers were among the most reliable and accurate thermometers ever invented.

HOW WAS THE FAHRENHEIT DIPLOMA INVENTED?

Fahrenheit himself wrote in 1724 that, on his scale, 0º corresponded to the temperature of a mixture of ice, salt and water, while 100º was the body temperature of the human being. We can see that the temperature in these two environments is not completely accurate, so the Fahrenheit scale is considered quite arbitrary.

It is not known exactly how it was designed, as the German physicist and engineer kept his formulas a secret.

Fahrenheit was based on the Rømer scale, proposed by the Danish astronomer Ole Christensen Rømer in 1701. According to this scale, 0 ° was the freezing temperature of the brine and 60 ° the boiling point of the water. The problem was that other important points, such as body temperature, were converted into fractional numbers, which seemed quite inelegant to him. Fahrenheit decided to adjust the Rømer scale so that the water would freeze at 8º and the human body temperature would be 24º.

The first Fahrenheit thermometers used this scale, but at some point he decided to multiply the number of divisions by 4, giving rise to the current Fahrenheit scale, where the water freezing point is 32ºF and the body temperature is 96ºF. It is not clear why he did this, but the fact is that he agrees that a degree Fahrenheit increases the volume of mercury by exactly 0.01%.

WHO INVENTED THE THERMOMETER?

Daniel Gabriel Fahrenheit is also responsible for the invention of the mercury thermometer. Fahrenheit knew that mercury was a better measuring liquid than alcohol used in other thermometers, as it boiled at a much higher temperature (357 ° C versus 78 ° C). His thermometers became the most reliable at the time and, for these achievements, he was formally accepted into the Royal Society of London.

Degree Celsius

degree celcius

The degree Celsius (symbol in ° C) is the unit of a temperature measurement scale , named after the Swedish astronomer Anders Celsius (1701 – 1744), who first proposed it in 1742. The Celsius scale is a scale to indicate the temperature at which the temperature ranges are degrees Celsius.

The Celsius scale defines the melting point of ice in a mixture of water saturated with air at 0 ° C and the boiling point at 99.974 ° C under standard pressure conditions (1 bar, slightly less than the atmosphere, pressure to water) boils at 100 degrees Celsius).

Originally conceived by the Celsius scale, it had a boiling point of water at 0 ° C and a freezing point of 100 ° C. After his death, however, the scale was reversed in 1745 by Linnaeus, transforming it into what is now commonly used.

The current official definition of the Celsius scale places 0.01 ° C as a triple point of water and a degree as 1 / 273.16 of the temperature difference between the triple point of water and absolute zero. This definition of degrees Celsius ensures that the temperature difference of one degree Celsius represents the same temperature difference as a Kelvin.

CONVERSION OF DEGREES CELSIUS TO OTHER TEMPERATURE UNITS

Formulas for converting degrees Celsius to other temperature units.

  • Conversion of degrees Celsius to degrees Fahrenheit at ° F = (9/5 × ° C) + 32
  • Conversion of degrees Fahrenheit to degrees Celsius at ° C = (5/9) × (° F – 32)
  • Conversion of degrees Celsius to kelvin at K = ° C + 273.15
  • Conversion Kelvin to degrees Celsius ° K = – 273.15

Anders Celsius originally proposed that the water freezing point be 100 ° C and the boiling point 0 ° C. The ladder was reversed in 1745 at the suggestion of Linnaeus, or perhaps by Daniel Ekström, producer of most of the thermometers used by Celsius.

The Celsius and Fahrenheit thermometric scales cross at the same value of -40 degrees, that is, the value of -40 ° C corresponds to -40 ° F.

One way to convert Celsius to Fahrenheit is to multiply by 1.8 and add 32.

° F = ° C × 1,8 + 32

On the other hand, to convert Fahrenheit to degrees Celsius, subtract 32 and divide by 1.8.

° C = (° F – 32) / 1,8

The Celsius scale is used daily in most parts of the world, although in mass media it is still called centigrade until the 1990s, especially in weather forecasts. In the United States (as well as in non-corporate territories and freely associated states of the Pacific), in Belize, Liberia and some Caribbean islands, the Fahrenheit scale is used, but these countries also use the Celsius or Kelvin scale in Applications. scientific or technological.

Other temperature ranges are: Newton (around 1700), Rømer (1701), Fahrenheit (1724), Réaumur (1731), Delisle or de Lisle (1738), Rankine (1859), Kelvin (1862) and Leyden (by around 1894). Note that “kelvin” is tiny, because it is an SI unit, even though it is derived from the noble title of scientist William Thomson.

WHAT IS THE DIFFERENCE BETWEEN DEGREES CELSIUS AND DEGREES CELSIUS?

Since there are a hundred divisions between these two landmarks, the original term for this system was either centigrade or centesimal. In 1948, the ninth General Conference of Animals (CR 64) officially changed its name to Celsius to remove several ambiguities:

  • the centi prefix is ​​used by the SI system for submultiples;
  • a more correct name, at least since Linnaeus was invested, would have been “hectograd”;
  • the hectogram is also ambiguous and, in oenology, indicates the alcohol content per hectolitre of wine;
  • the term “degrees centigrade” was also used to indicate the hundredth degree used to measure angles;
  • Kelvin is also a degree centigrade, in that it is obtained, like Celsius, by dividing the interval between two fundamental fixed points in equal parts.

The decision of the Conférence générale des poids et mesures aimed to remove ambiguities and to unequivocally associate the creation of the scale with Celsius (despite Linnaeus’ important contribution); in addition, the scale was standardized with those of Kelvin (created by Lord Kelvin), Fahrenheit, Réaumur and Rankine , all named after their inventor.

Despite this, there are often people who refer to degrees centigrade as “degrees Celsius”, just as they use the centigrade concept scale.

WHY IS THE CELSIUS SCALE NOT CONSIDERED AN ABSOLUTE SCALE?

The existence of an absolute temperature scale is a consequence of the second principle of thermodynamics .

According to the second law, the absolute temperature scale starts from the existence of 0º absolute. This condition is met only by two basic units:

  • Degree of Kelvin
  • Grau Rankine.

Zero degrees Kelvin corresponds to -273.16 degrees Celsius.Author: Oriol Planas – Industrial Technical Engineer, specializing in mechanics

What is the degree of Celsius symbol

1. The temperature measurement unit of the Celsius temperature scale (C), represented by the symbol ℃, is one of the most widely used temperature scales in the world. Celsius is now included in the International System of Units (SI).

2. Basic definition: Celsius temperature has been included in the International System of Units. In physics, the Celsius temperature scale is expressed as t, and the absolute temperature scale (unit: Kelvin) is expressed as T, and the conversion relationship is t=T-273.15. Celsius is a special name that replaces Kelvin when expressing Celsius temperature, and 1K=1°C in value.

3. Both Fahrenheit and Celsius are used to measure temperature. Celsius is used by most countries in the world, including our country; Fahrenheit is used by only five remaining countries in the world, including the Bahamas, Belize, the British Cayman Islands, Palau, the United States of America and other dependent territories (Puerto Rico, Guam, U.S. Virgin Islands).

How to type Celsius Symbol in word

Celsius is a temperature scale that is widely used in the world and is represented by the symbol “℃”. It was proposed by the Swedish astronomer Anders Celsius in the 18th century. Celsius = (Fahrenheit-32) ÷ 1.8. Its freezing point is 0°C, and the boiling point of water at 1 standard atmosphere is 100°C. The current Celsius temperature has been included in the International System of Units, and the definition of Celsius temperature is t=TT.

Celsius is a temperature scale that is widely used in the world and is represented by the symbol “℃”. However, in actual work, it is often necessary to insert the ℃ symbol in Word. I stumbled upon today that I don’t know how to enter the Celsius symbol ℃ in Word? How to do? Below, I will summarize some of the methods of entering the Celsius symbol ℃ in Word. I hope that after reading this article, I don’t have to worry about how to type ℃ in Word. There are several simple ways to insert the Celsius symbol ℃ in Word: Although some small symbols are usually not used by people at all, they still have to be mastered. Sometimes they might come in handy! Here are a variety of ways to enter the Celsius symbol

Input degrees Celsius:

  1. Select “special symbols”; 
  2. Then select “number/unit” from the special symbols that pop up, and then you can see the symbol “Celsius ℃” at the bottom left.   

Input method Celsius symbol input method: 

  1. Click the “wrench icon” on the far right of QQ input method, and then select “Symbol”;
  2. Select “Number/Unit” on the left side of the symbol input device that pops up, and you can find it on the right The desired “degree Celsius” too.   

Smart ABC input Celsius symbol, 

first press “V”, then press the “1” key, then press “Page Down” 7 times, then press the “7” key, the °C comes out   

How to type the Celsius symbol in Wubi 86 version 

℃ Right-click on the soft keyboard, select the unit symbol, press “9” to get ℃   

Tips: In Word, using Sogou input method and omnipotent five pen typing have different symbols, which can be solved by switching between Chinese and English. This is the difference between full-width and half-width. In the two input methods, if you enter full-width or half-width, they should be exactly the same  

2. Skills of inputting Celsius symbol in Word2003

  1. Open Word2003 and click “Special Symbol” in “Insert” in the menu bar; 
  2. You can find the “Celsius” symbol you want in “Unit Symbol”.

3. How to input the Celsius symbol in Word2007 

Click the “Insert” tab, select “More” in the “Special Symbols” option group, then “Unit Symbol”, select the Celsius symbol to confirm.

How to put the degree sign (°) with the keyboard

Degree Symbol keyboard

The degrees symbol is used as a symbol to indicate temperature, to represent degrees of arcs and even to decrease the quality of musical harmony. It can be a very useful symbol in chemistry, physics, and other areas of study.

There are several ways to represent the ° symbol on our computer keyboard . It will also depend on what operating system we are using.

Degree Symbols
NameMale cardinal degree
Symbol°
ASCII code0176
HTML entity&SDR;
Merge in WindowsALT + 0176
Merge on MacSHIFT + ⌥ (opt) + 8
⌥ (opt) + 0
Merge on LinuxCtrl + Shift + u + b0

Write in Windows

With keyboard

There are some keyboards that already have the degree symbol predefined in one of the numbers above the letters or in the key below ESC. Although that yes, in many occasions, it does not work with simply pressing the Shift. Therefore, if it does not come out the first time, you will most likely need to press ALT GR and then the key in question.

With ALT + ASCII code

Another foolproof test that never fails is to use the ASCII code equivalent to the degree symbol. This not only applies for this one but for all the symbols that you can think of. Therefore, it is one of the most used options by most writers.

  1. First, press the ALT key.
  2. Now, you must write the code which is 0176 . Then, the combination would look like this: ” ALT + 0176 “
  3. After correctly performing the procedure, you will have the sign on your screen.

On a laptop or notebook

In some laptops it is possible to make the degree symbol with the same key combination as with a normal keyboard. Although, in some cases, it will be necessary to use the ASCII code. As you may have learned above, the code for the degree symbol is “0176”. With this you can work without worries.

Write to MAC

Just in case you haven’t taken them into account, the way to write the degree symbol in MAC is totally different from Windows. Although as in most cases you will have to make a combination of keys so that this symbol can appear.

  • Keyboard in Spanish: Although in all languages ​​it is possible to use the combination of keys below, in some cases, the degree symbol is next to the number 1. Now with this, just press SHIFT and then , the key below ESC.
  • Keyboard in English: In English it is usually the same as in Spanish, although in certain cases it is only enough to press the key below ESC without using Shift. Similarly, the key combination can be used if this option cannot be used.
  • Key combination: It does not matter if it is an English or Spanish keyboard, to be able to write the degree symbol on a MAC laptop, you must combine the keys “Shift + option key + 8”.

Write in Linux

The way Linux works when writing some symbols can seem a bit chaotic. But, after a while, it will seem totally normal to you. Do you remember the ASCII codes? So, on Linux you will have to use this code, but converted to hexadecimal numbering.

  1. You must perform the following combination Ctrl + Shift + u + b0 . The latter is the hexadecimal code for the degree symbol. C

After performing this procedure, you will have your sign in the text

About the symbol

Remember, the degree symbol that we teach you to write here is the universal. That is, only this symbol will appear, with nothing else added to it, as may be the case with Linux, that there are other codes for the degree to come out next to C or F in terms of degrees of temperature.

How to Insert a Degree Symbol in Google Docs

Sometimes you need to add special characters to the document you are creating. It could be something like an arrow or marker, but in other situations something less common, such as a degree symbol, may be required.

Degree Symbols

Fortunately, Google Docs has the ability to insert various special characters, and one suggested option is the degree symbol.

Our guide below shows you how to add a degree symbol to Google Docs in a few short steps.

The steps above were done on the desktop version of the Google Chrome web browser, but will work on other desktop browsers like Firefox or Edge as well.

There is also a Windows keyboard shortcut for inserting a degree symbol. You can press Alt + 0176 to add a symbol. Note that you need to use the numbers on the numeric keypad on your keyboard. It won’t work if you are using a numeric string over letters.

HOW TO INSERT A DEGREE ICON INTO TEXT WITH AND WITHOUT KEYBOARD

values ​​from the keyboard of a laptop and / or desktop computer. It is clear that the degree icon is somewhere, but how can you quickly put it when you need it?

A blitz inspection of the keyboard, of course, will do nothing, since the degree icon – ° – is usually not applied to the buttons by manufacturers (well, unless you yourself have ordered special keyboard stickers with the necessary symbols for your computer ).

In this regard, on how to insert a degree icon into the text (any).

So,..

§  INSTANT OPTION – FROM THE NUMERIC KEYPAD

In Windows OS, as you know, there are many superscript characters at once, but only the most popular of them are applied to the standard QWERTY-layout buttons (” asterisk “, for example, or quotes ). However, this does not mean that the rest cannot be inserted simply with a key. Can.

Only with the help of a separate digital code and through an additional numeric panel, which is found in most full-size computer keyboards (for desktop PCs) and even in some laptops (as a rule, with a screen diagonal of 15.6 ″ and larger).

And even smaller laptops have it, but using it to insert superscript icons is not so convenient, because if you have a laptop with a small keyboard, then it is easier to apply the second option (see below). Well, or still turn on the additional keyboard with the Num Lk button (it is usually in the top row) and dial the code from it (see the small numbers in the corners of the keys  7, 8, 9, Г, Ш, Щ, О, Л, Д and Ь ).

So, to quickly insert the degree icon into the text from the numeric keypad, hold down ALT, type 0 1 7 6 and release ALT (on a small laptop ->  Num Lk, then hold down ALT, press b О 7 Ш in turn, release ALT and turn off Num Lk ; LOOSH – these are the same 0176), and “degree” will immediately appear in the text.

§  OPTION SLOW – DEGREE ICON FROM MS WORD

And longer, and not so interesting, but nevertheless it also works. Just open Microsoft Word , click ” Insert ” in the top menu , then ” Symbol “, find and select the “degree” and press the ” Insert ” button from the bottom.

Here you can also assign a keyboard shortcut to which you can insert this symbol (or any other) into the text of the document in MS Word, if in the future you plan to use it often.

Degree Symbol in Latex

degree symbol

I want to be able to simply enter the degree symbol as ° in my source code. The German keyboard has a key that makes the source more readable. I’m using  pdfLaTeX    from TeXLive 2012, and this minimal reproduction example:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\begin{document}
Degree symbol in plain text works: 90° is a right angle.
Degree in math won’t work: $\cos(90°) = 0$.
\end{document}

Compile this file and I get a message

Missing character: There is no in font cmr10!

Where there actually means that a single byte cannot form a valid UTF-8 sequence, so it cannot be printed correctly on my console.

I have a rough idea, all of them come from, but I don’t know anything about how to solve this problem. I want to make \textdegree symbols that can also work in math mode, or let the engine replace some different commands to replace my unicode code point. Ideally, the command will choose the correct form based on whether the current mode is a math mode, I do n’t know how to check (yet). For the final result, it would be nice if the symbols look the same in both text and math mode OK, so I might look for a solution that will switch to text mode to output the symbol.

But maybe there is an easier way to do it all. Maybe there is even a package. Searching through previous posts, I found that there is a package unicode-math , but this does not work for pdfLaTeX, and the switching engine does not seem to be most of my applications Reasonable requirements of the program.

Latest recovery

1.The following code should work:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage{gensymb}
\begin{document}
Degree symbol in plain text works: 90° is a right angle.
Degree in math now work: $\cos(90\degree) = 0$.
\end{document}

2. That’s why you have the siunitx package:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage{siunitx}
\begin{document}
Degree symbol in plain text works: 90\si{\degree} (or \SI{90}{\degree}) is a right angle.
Degree in math would work: $\cos(90\si{\degree}) = 0$.
\end{document}
As cgnieder said, \ang it can also be used for this purpose:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage{siunitx}
\begin{document}
Degree symbol in plain text works: \ang{90} is a right angle.
Degree in math would work: $\cos(\ang{90}) = 0$.
\end{document}

3. I used ^{\circ} to get the degree notation in math mode. It works every time. I encountered compatibility issues with some other code / package combinations.

4. If you do not need to textcomp pack, remove it and change the utf8 inputencselection to utf8x be useful to you, just for me.

\documentclass{article}
\usepackage[utf8x]{inputenc}
\usepackage[T1]{fontenc}
%\usepackage{textcomp}
\begin{document}
Degree symbol in plain text works: 90° is a right angle.
Degree in math won’t work: $\cos(90°) = 0$.
\end{document}

5. I ended up using the gensymb answer from Papiro to get the \degree command, combining it with a line to tie it to ° a symbol inspired by comments to that answer:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage{gensymb}
\DeclareUnicodeCharacter{00B0}{\degree}
\begin{document}
Degree symbol in plain text still works: 90° is a right angle.
Degree in math now works as well: $\cos(90°) = 0$.
\end{document}