রোবটিকী শিখুন - পেশাগত স্তর

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The Advanced book kept the assumptions behind robot mathematics visible. Professional study means producing a result another reader can recover - its question, assumptions and evidence - without inheriting an exaggerated claim, through original paper models of uncertainty, estimation, optimisation and software testing. All explanations are in Bengali. This 55-page guide runs through 20 original units on paper: turn a requirement into a testable contract; propagate bounded uncertainty without inventing probability; why a shared error survives averaging; how a small residual can hide a sensitive answer; identify what the data can actually distinguish; fit parameters and inspect the design; separate one-step fit from repeated prediction; ask whether hidden state is observable; update a scalar estimate under explicit assumptions; treat an innovation as a diagnostic, not a verdict; analyse the estimator and controller together; a computation that can finish before its data are fresh; solve the constrained problem, not its convenient neighbour; report infeasibility without silently relaxing the task; derive a short-horizon decision with a terminal term; prove an invariant set under a bounded disturbance; compare nominal and worst-case route costs; use relationships to test more than one answer; design tests that can kill a plausible mutation; and a capstone handing over a result whose limits survive the handover. Every unit has a lesson and a workshop with a worked case, safe activity and explained answers. Every workshop uses invented records on paper, with optional harmless offline arithmetic - no robot, powered equipment, programming installation or live network is needed. The final dossier combines conditional mathematical results with explicit evidence limits. Best suited to readers who have finished the Advanced edition and are comfortable with algebra, small-matrix multiplication, elementary differentiation and basic probability. Every method is shown on an inve