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How did khayyam develop Algebra?
Omar Khayyam, an 11th-century Persian mathematician, made significant contributions to algebra by systematically solving cubic equations and classifying them based on their geometric interpretations. He introduced methods for finding the roots of these equations through geometric constructions, which laid the groundwork for later developments in algebra. His work, particularly in the "Treatise on Demonstration of Problems of Algebra," emphasized the importance of both algebraic and geometric approaches, influencing future mathematicians in both fields. Khayyam's blending of algebra with geometry marked a pivotal advancement in mathematics during his era.
What is term in algebraic expression?
a set of both numericals and consonenets
What is the sequence of numbers that are both geometric and arithmetic?
It is called arithmetico-geometric sequence. I have added a link with some nice information about them.
How are algebraic expressions related to equations?
They both have algebraic terms but an expression does not contain an equality sign whereas an equation does contain an equality sign
Comperism between geometric unsharpnes and radiographic unsharpness?
geometric unsharpness is fixed by setting the focal radius,etc. while radiographic unsharpness consists of both geometric and film unsharpness.
Why is algebraic proof stronger than geometric proof?
Both the algebraic proof and geometric proof are strong. The algebraic proof however is usually very involving.
What are the fundamental concepts and applications of schemes in algebraic geometry?
Schemes in algebraic geometry are a way to study geometric objects using algebraic techniques. They allow for a unified framework to understand various geometric structures, such as curves and surfaces, by associating them with commutative rings. The fundamental concepts include defining a scheme as a topological space with a sheaf of rings, which captures both the geometric and algebraic properties of the object. Applications of schemes in algebraic geometry include studying solutions to polynomial equations, classifying geometric objects, and developing tools for understanding complex geometric shapes.
How does the unit for speed relate to the formula for speed?
they both relate to distance.
What is better the pythagorean therom or the disance formula?
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
How many cm is 10 inch?
Inch and centimeter are both linear units of measurement. They are used to measure small distance. The conversion is done by multiplying the inch measurement by 2.54. The above unit in inches equals 25.4 cm (Approximately).
Is -4 -8 -16 -32 arithmetic geometric both or neither?
It is a geometric sequence.
How is the Pythagorean Theorem and Distance Formula the same?
Because they both involve right angle triangles
What formula do you need to solve for distance if given foce and work?
The formula for finding work is: Work = force X distance. To find distance, you must divide both sides by force. After simplifying the equation, the new equation will read: distance = work divided by force
Can forms be either geometric or organic?
it can form both ..
What is an algebra equation?
An algebraic equation is a mathematical equation in which one or both sides is an algebraic expression.
Can a sequence of numbers be both geometric and arithmetic?
Yes, it can both arithmetic and geometric.The formula for an arithmetic sequence is: a(n)=a(1)+d(n-1)The formula for a geometric sequence is: a(n)=a(1)*r^(n-1)Now, when d is zero and r is one, a sequence is both geometric and arithmetic. This is because it becomes a(n)=a(1)1 =a(1). Note that a(n) is often written anIt can easily observed that this makes the sequence a constant.Example:a(1)=a(2)=(i) for i= 3,4,5...if a(1)=3 then for a geometric sequence a(n)=3+0(n-1)=3,3,3,3,3,3,3and the geometric sequence a(n)=3r0 =3 also so the sequence is 3,3,3,3...In fact, we could do this for any constant sequence such as 1,1,1,1,1,1,1...or e,e,e,e,e,e,e,e...In general, let k be a constant, the sequence an =a1 (r)1 (n-1)(0) with a1 =kis the constant sequence k, k, k,... and is both geometric and arithmetic.
What is the formula for volcity?
The formula for velocity is velocity = distance/time. It measures the rate at which an object changes its position. Velocity is a vector quantity, meaning it has both magnitude and direction.
