- published: 12 Dec 2011
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A chemical formula is a way of expressing information about the proportions of atoms that constitute a particular chemical compound, using a single line of chemical element symbols, numbers, and sometimes also other symbols, such as parentheses, dashes, brackets, commas and plus (+) and minus (−) signs. These are limited to a single typographic line of symbols, which may include subscripts and superscripts. A chemical formula is not a chemical name, and it contains no words. Although a chemical formula may imply certain simple chemical structures, it is not the same as a full chemical structural formula. Chemical formulas can fully specify the structure of only the simplest of molecules and chemical substances, and are generally more limited in power than are chemical names and structural formulas.
The simplest types of chemical formulas are called empirical formulas, which use letters and numbers indicating the numerical proportions of atoms of each type. Molecular formulas indicate the simple numbers of each type of atom in a molecule, with no information on structure. For example, the empirical formula for glucose is CH_{2}O (twice as many hydrogen atoms as carbon and oxygen), while its molecular formula is C_{6}H_{12}O_{6} (12 hydrogen atoms, six carbon and oxygen atoms).
In science, a formula is a concise way of expressing information symbolically as in a mathematical or chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities. The plural of formula can be spelled either as formulas or formulae (from the original Latin).
In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language. For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion; but, having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume: This particular formula is:
Having obtained this result, and knowing the radius of any sphere in question, we can quickly and easily determine its volume. Note that the volume V and the radius r are expressed as single letters instead of words or phrases. This convention, while less important in a relatively simple formula, means that mathematicians can more quickly manipulate larger and more complex formulas. Mathematical formulas are often algebraic, closed form, and/or analytical.
In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing. Using the quadratic formula is often the most convenient way.
The general quadratic equation is
Here x represents an unknown, while a, b, and c are constants with a not equal to 0. One can verify that the quadratic formula satisfies the quadratic equation, by inserting the former into the latter. Each of the solutions given by the quadratic formula is called a root of the quadratic equation.
Geometrically, these roots represent the x values at which any parabola, explicitly given as y = ax^{2} + bx + c, crosses the x-axis. As well as being a formula that will yield the zeros of any parabola, the quadratic equation will give the axis of symmetry of the parabola, and it can be used to immediately determine how many zeros to expect the parabola to have.
In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series
is geometric, because each successive term can be obtained by multiplying the previous term by 1/2.
Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queueing theory, and finance.
The terms of a geometric series form a geometric progression, meaning that the ratio of successive terms in the series is constant. This relationship allows for the representation of a geometric series using only two terms, r and a. The term r is the common ratio, and a is the first term of the series. As an example the geometric series given in the introduction,
A general officer is an officer of high rank in the army, and in some nations' air forces or marines.
The term "general" is used in two ways: as the generic title for all grades of general officer and as a specific rank. It originates in the 16th century, as a shortening of captain general, which rank was taken from Middle French capitaine général. The adjective general had been affixed to officer designations since the late medieval period to indicate relative superiority or an extended jurisdiction.
Today, the title of "General" is known in some countries as a four-star rank. However different countries use different systems of stars for senior ranks. It has a NATO code of OF-9 and is the highest rank currently in use in a number of armies.
The various grades of general officer are at the top of the military rank structure. Lower-ranking officers in land-centric military forces are typically known as field officers or field-grade officers, and below them are company-grade officers.
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Arithmetic Sequences: Finding a General Formula Given Two Terms. In this video, we have values for a_21 and a_51 and we have to find the general formula for the arithmetic sequence: a_n.
► My Sequences & Series course: https://www.kristakingmath.com/sequences-and-series-course Learn how to use a list of the first several terms of the sequence to find a formula for the general term of the sequence, a_n ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tut...
Hola, en este video les dejo la formula general expliucada de una forma super sencilla y moderna, espero y les sirva, recuerden que pueden ver el video las veces que sea necesario para entender el tema. Sígueme en mis redes sociales!! Contacto/Negocios/Prensa: luisdanielcarreonbaylon@gmail.comFACEBOOK: https://www.facebook.com/carrrrreon?r...TWITTER: https://twitter.com/ProfeCarreon Sígueme en mis círculos: https://plus.google.com/u/0/+LuisDani... SUSCRIBETE!!!
CLASS 10 | GENERAL FORMULA OF ALKANE, ALKENE, ALKYNE | TX ACADEMY
Explains the 'general form' of quadratic equations, and how that is used to understand the quadratic formula
Álgebra - Capítulo 10 - Ecuaciones cuadráticas (playlist): https://www.youtube.com/playlist?list=PLEwR-RTQiRPVQdDRnLLmUtrE5pPA8IK_b SUSCRÍBETE: http://bit.ly/VN7586 (NO OLVIDES DAR UN ¨LIKE¨) VISITA: http://math2me.com FB: http://bit.ly/FBmath2me G+: http://google.com/+math2me Twitter: http://bit.ly/14ql1b7 (Video explicado por José Andalón) Help us caption & translate this video! http://amara.org/v/FPMg/
#julioprofe explica cómo resolver una ecuación cuadrática utilizando la Fórmula Cuadrática. REDES SOCIALES Facebook → https://www.facebook.com/julioprofenet Twitter → https://twitter.com/julioprofenet Instagram → https://www.instagram.com/julioprofenet SITIO OFICIAL → http://www.julioprofe.net APP JULIOPROFE Para Android → https://goo.gl/XsJRwN Para iOS → https://goo.gl/3y2VtR
Here's how to write formulas for binary ionic compounds. We'll see how you have to balance the charges of the two ions so they cancel each other out.
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Arithmetic Sequences: A Formula for the ' n - th ' Term. In this video, I derive the formula to find the 'n-th' term of a sequence by considering an example. I then use the formula to do a few different problems.
For more videos and interactive applets, please visit http://www.MathVillage.info Learn how to write a formula for finding the nth term when given an arithmetic sequence.
Einstein's Field Equations for General Relativity - including the Metric Tensor, Christoffel symbols, Ricci Cuvature Tensor, Curvature Scalar, Stress Energy Momentum Tensor and Cosmological Constant.
We will talk about what empirical formula and molecular formula are, how they are different, and we'll learn how to write the empirical formula for a compound when you are given the molecular formula. Molecular formulas tell you how many atoms of each element are in a compound, and empirical formulas tell you the simplest or most reduced ratio of elements in a compound. If a compound's molecular formula cannot be reduced any more, then the empirical formula is the same as the molecular formula. Also, many compounds with different molecular formula have the same empirical formula.
Calculus: We give a general method for deriving the closed formula for sums of powers of 1 through N. The technique uses the partial sum formula for geometric power series.
Geometric Sequences: A Formula for the' n - th ' Term. In this video, I derive the formula to find the 'n-th' term of a geometric sequence by considering an example. I then use the formula to find another term of the sequence.
The general term of a binomial expansion, also known as the (r+1)th term. The general term formula allows you to find a specific term inside a binomial expansion without the need to fully expand the series. It is useful to find a specific term with a specific power inside a binomial expansion. For example find the term with x^3 in (x^2 + 1/2x)^9. If you like what you see, please subscribe to this channel! http://www.youtube.com/subscription_center?add_user=numberskill For more videos, please visit http://www.numberskill.com/board-casts-on-youtube/#Bookmark Like us on Facebook http://www.facebook.com/garyang.math Follow us on Google+ https://plus.google.com/117074002101017934426/posts
This algebra 1 and 2 video provides an overview of arithmetic sequence geometric series. It provides plenty of examples and practice problems that will help you to prepare for your next test or exam in your algebra or pre-calculus course. Here is a list of topics covered in this video: 1. General Formula Sheet For Arithmetic and Geometric Series 2. How To Write The First Four Terms of a Sequence Given The Explicit Formula 3. How To Write The Next Three Terms Given a Recursive Formula / Equation 4. How To Determine if a Sequence is Arithmetic or Geometric 5. How To Find The Common Difference of an Arithmetic Series 6. How To Find The Common Ratio of a Geometric Sequence 7. How To Write a General Formula For an Arithmetic or a Geometric Sequence That Contains Fractions 8. How To ...
The general formula for solving quadratic equations. If you like what you see, please subscribe to this channel! http://www.youtube.com/subscription_center?add_user=numberskill For more videos, please visit http://www.numberskill.com/board-casts-on-youtube/#Bookmark Like us on Facebook http://www.facebook.com/garyang.math Follow us on Google+ https://plus.google.com/117074002101017934426/posts
https://getchemistryhelp.com/learn-chemistry-fast/ This lesson shows how to interpret the elemental symbols, subscripts, and parentheses in a chemical formula.
This video provides an example of how to write the general equation of a circle in standard form to find the center and radius and then graph the circle. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
This Sutra is a General Formula applicable to all cases of multiplication. The applications of this brief and terse Sutra are manifold. In this video we are taking it up in its most elementary application namely, to multiplication in general.
This general chemistry video tutorial provides a list of equations or a formula cheat sheet that you need to know in order to do well in your chemistry course. This study guide video provides a nice review of the concepts that goes with each equation to help you for your upcoming final exam. Here is a list of topics: 1. How To Determine The Number of Protons, Neutrons, and Electrons Inside an atom or ion using the Atomic Number, Mass Number and Charge. 2. How To Calculate Average Atomic Mass and Relative Percent Abundance of Isotopes 3. How To Convert Grams To Moles - Stoichiometry 4. How To Determine The Molar Mass or Molecular Weight of a Compound 5. Avogadro's Number - Moles to Particles, Atoms, or Molecules 6. Mass Percent Formula - How To Determine The Percent Composition o...
Einstein's Field Equations for General Relativity - including the Metric Tensor, Christoffel symbols, Ricci Cuvature Tensor, Curvature Scalar, Stress Energy Momentum Tensor and Cosmological Constant.
This algebra 1 and 2 video provides an overview of arithmetic sequence geometric series. It provides plenty of examples and practice problems that will help you to prepare for your next test or exam in your algebra or pre-calculus course. Here is a list of topics covered in this video: 1. General Formula Sheet For Arithmetic and Geometric Series 2. How To Write The First Four Terms of a Sequence Given The Explicit Formula 3. How To Write The Next Three Terms Given a Recursive Formula / Equation 4. How To Determine if a Sequence is Arithmetic or Geometric 5. How To Find The Common Difference of an Arithmetic Series 6. How To Find The Common Ratio of a Geometric Sequence 7. How To Write a General Formula For an Arithmetic or a Geometric Sequence That Contains Fractions 8. How To ...
General Relativity & curved space time: Visualization of Christoffel symbols, Riemann curvature tensor, and all the terms in Einstein's Field Equations. My Patreon page is at https://www.patreon.com/EugeneK
In this video, we will discover how to rotate any vector through any axis by breaking up a vector into a parallel part and a perpendicular part. Then, we will use vector analysis (cross products and dot products) to derive the Rodrigues rotation formula and finish with a quaternion point of view. Using quaternions allows us to write a very compact formula which will be familiar to those who have used quaternions to do rotations.
This chemistry video lecture tutorial focuses on thermochemistry. It provides a list of formulas and equations that you need to know as well as the appropriate units. It provides a nice review covering topics such as the internal energy of a system, the surroundings, endothermic vs exothermic processes, work, pressure, and volume. It explains the difference between work done on the system vs work done by the system. It also shows you how to calculate q, the amount of heat absorbed or released by a system for processes that involve a temperature change or a phase change including the specific heat capacity concept of water. This video also discusses thermochemical equations and reactions and how to do thermochemical stoichiometry and conversions. This video contains plenty of examples...
What is general relativity? When physicists talk about Einstein's equation they don't usually mean the famous E=mc2, but another formula, which encapsulates the celebrated general theory of relativity. Einstein published that theory a hundred years ago, in 1915. To celebrate its centenary Plus (plus.maths.org), our free online mathematics magazine, asked physicist Professor David Tong of the University of Cambridge to explain what general relativity is and how Einstein's equation expresses it. Watch his explanation in this video, or read more in his article on Plus at https://plus.maths.org/content/what-general-relativity
Derivation by Rawiri Mahue. Software and style inspired by Khan Academy.
This chemistry video tutorial explains how to memorize the polyatomic ions. It provides the name of the common polyatomic ions, the charges and their respective formulas as well. Common polyatomic ions include sulfate, nitrate, acetate, ammonium, hydroxide, sulfite, cyanide, phosphate, disulfide, bicarbonate, hydrogen sulfate, bisulfite, chromate, dichromate, pyrophosphate, permanganate, thiosulfate, peroxide, superoxide, oxalate, borate, iodate, perchlorate, hypochlorite, bromite, and nitrite just to name a few. This video contains plenty of examples and practice problems including a quiz that tests you to see if you remember the common polyatomic ions.
This organic chemistry video tutorial shows you how to draw lewis structures, bond line structures and skeletal structures including condensed structural formulas. It also shows you how to draw the lewis structures of functional groups such as alkanes, alkenes, alkynes, carboxylic acids, alcohols, ethers, esters, ketones, aldehydes, amides, nitriles, and amines. This video also helps you to draw cyclic structures as well cis and trans isomers. In addition, it helps you to easily identify substituents such as isopropyl, sec-butyl, isobutyl, isopentyl, and tert butyl as well as amino, hydroxy, ethoxy, methoxy, and oxo substituents.
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ilmkidunya.com has brought to you Lecture of Sibghat Ullah on "9th Class Chemistry Chapter 1 Fundamentals of Chemistry . Topic 1.2.4 Chemical Formula". In this video following sub topics have been taught: - Types of Chemical formula For more videos of Sibghat Ullah visit https://www.ilmkidunya.com/study , https://www.instutor.com This lecture is specially recorded for students of 9th class, 9th class from all Punjab Boards and is based on the current curriculum of study for Chemistry book. All these lectures are conducted in Urdu/English medium to facilitate Pakistani students.