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1 dzień temu · This non-commutativity has some unexpected consequences, among them that a polynomial equation over the quaternions can have more distinct solutions than the degree of the polynomial. For example, the equation z 2 + 1 = 0, has infinitely many quaternion solutions, which are the quaternions z = b i + c j + d k such that b 2 + c 2 + d 2 = 1.
7 godz. temu · Acceleration a is calculated from equation of motion " v = u + a t " , where v is final velocity after time t and. u =0 is initial velocity because the train starts from rest . v = a × t. a = v / t = 20 / (5×60) m/s 2 = ( 1/15 ) m/s 2. Distance S travelled in 5 minutes is calculated from equation of motion , " S = u t + (1/2) a t 2 "
1 dzień temu · The area of the blue region converges to Euler's constant. Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log: = ( + =) = (+ ⌊ ⌋). Here, ⌊·⌋ represents the floor function.
7 godz. temu · The study focuses on a thin plate strip with an axial velocity \(c\) along the \(x\)-direction in the air-gap magnetic field induced by the armature magnetic wall, as illustrated in Fig. 1.The plate is subjected to sliding clamp and sliding hinge boundary constraints on both sides in the \(x\)-direction.A fixed Cartesian coordinate system \(Oxyz\) is established with the clamp side as the ...
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