Mathematics (from Ancient Greek μάθημα; máthēma: 'knowledge, study, learning') is an area of knowledge that includes such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis). Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstractions from nature or—in modern mathematics—entities that are stipulated with certain properties, called axioms. A mathematical proof consists of a succession of applications of some deductive rules to already known results, including previously proved theorems, axioms and (in case of abstraction from nature) some basic properties that are considered as true starting points of the theory under consideration.
Mathematics is used in science for modeling phenomena, which then allows predictions to be made from experimental laws. The independence of mathematical truth from any experimentation implies that the accuracy of such predictions depends only on the adequacy of the model. Inaccurate predictions, rather than being caused by incorrect mathematics, imply the need to change the mathematical model used. For example, the perihelion precession of Mercury could only be explained after the emergence of Einstein's general relativity, which replaced Newton's law of gravitation as a better mathematical model.
Mathematics is essential in the sciences, engineering, medicine, finance, computer science and the social sciences. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other mathematical areas are developed independently from any application (and are therefore called pure mathematics), but practical applications are often discovered later. A fitting example is the problem of integer factorization, which goes back to Euclid, but which had no practical application before its use in the RSA cryptosystem (for the security of computer networks).
Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. Since its beginning, mathematics were essentially divided into geometry, and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra and infinitesimal calculus were introduced as new areas of the subject. Since then, the interaction between mathematical innovations and scientific discoveries has led to a rapid increase in the development of mathematics. At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method. This gave rise to a dramatic increase in the number of mathematics areas and their fields of applications. An example of this is the Mathematics Subject Classification, which lists more than 60 first-level areas of mathematics.
Question.AI - Chatbot&Math AI v2.1.4 b247 (Plus)
- AI virtual assistant powered by GPT4
Get accurate answers to all questions
Get answers in real-time
Ability to handle with 140+ languages
Scan any math problem to get step-by-step explanations
Plus / ρáíd Features Unlocked
Multi Languages &...
Sa mga nakapag take na po ng LET, may na encounter po ba kayong Trigonometric identities, prooving, Calculus1 2 3?
If meron po pwede po kayang pahingi ng notes and reviewer po ?
"A" can do a certain job in 4 hours, "B" can do the job in 6 hours, "C" can do the job in 8 hours. How long will it take to do the job if "A" and "B" work for 1 hour and "B" and "C" finish the job?
A tank can be filled by one pipe in 9 hours and another pipe in 12 hours. Starting empty, how...
Get this amazing application to earn instant cash. 💸
Just do simple maths and earn unlimited money without investment 💰.
Application link - MathPlus - Rayole
Hello po mga ka phc, meron po ba kayong alam na site or idea related sa Highschool Math topics to College? Gusto ko kasi mag start from the basic foundation of math. Thank you po!
The average mass of mei mei and her cousins was45kg.mei meis mass was 53kg.tge average mass of her cousins was 43kg.how many cousins did mei mei have? Please asap. Thank you.
Instruction: Using this format write your answer in a clean one whole yellow paper. Show your comple
salution.
1. Add the following binary numbers.
a. 1110110 + 111011
b. 1111011+11011
C. 010111111111
II. Subtract the following binary numbers.
a. 1010110-11011
b. 1101011-1011
c...
Deductive or inductive reasoning
For the first 5 activities, Fe is the first one to complete the activity. She concludes that she will be the first one to finish all the activities
There are 362 first grade students in san juan national high school if there are 26 more girls than boys how many girls are there?
2. If two ladders are placed end to end their combined height is 31.5feet one ladder is 6.5 feet shorter than other ladder what are the height of two ladders
Hidden content
What you'll learn
You will be able to solve all calculations without using a calculator. With that speed and accuracy you will never leave any question unsolved in the test.
You will get a complete refresher of Algebra.
Specially, you will learn all types of word problems that...
Draw the diagram of the given condition. Certain numbers of pilots are asked which they prefer more travelling to asian countries or to european countries 27 pilots prefer travelling to asian countries 22 prefer travelling to europe while 13 pilots do not like travelling to asian countries
Certain number of pilots are asked which they prefer more, traveling to Asian countries or to European countries, 27 pilots prefer traveling to Asian countries, 22 prefer traveling to Europe while 13 pilots do not like traveling to Asian countries.
A. Draw a diagram of the given condition
B...