Mathematic Glossary - R to Z

SN

R to Z

320

radius of convergence, power series

321

range

322

ratio test for series

323

rational numbers (definition)

324

rationals are countable

325

real analytic

326

real numbers (definition via Cauchy Sequences)

327

real numbers (definition via Dedekind Cuts)

328

rearrangement of terms in conditionally convergent series

329

recursive definition

330

Red Sox (Boston baseball team)

331

reflexivity

332

relation

333

remainder, Lagrange

334

remainder, Taylor

335

removable discontinuity

336

Riemann integrable implies Lebesgue integrable

337

Riemann integrable versus Lebesgue integrable

338

Riemann integral

339

Riemann integral of almost continuous function

340

Riemann integral of continuous functions

341

Riemann integral, properties

342

Riemann lemma

343

Riemann sum

344

right-hand limit

345

Rolle's theorem

346

root n sequence

347

root test for series

348

second fundamental theorem of calculus

349

sequence of functions

350

sequence of numbers

351

sequence of partial sums

352

sequence, binomial

353

sequence, Euler's

354

sequence, exponent

355

sequence, exponential

356

sequence, n-th root

357

sequence, power

358

sequence, root n

359

sequences and closed sets

360

sequences, adding

361

sequences, bounded

362

sequences, bounded and convergent

363

sequences, convergent

364

sequences, divergent

365

sequences, dividing

366

sequences, infimum of

367

sequences, monotone

368

sequences, monotone and convergent

369

sequences, multiplying

370

sequences, Pinching theorem

371

sequences, subsequences and convergence

372

sequences, supremum of

373

series

374

series approximation of Pi

375

series of functions

376

series, Abel's test

377

series, adding

378

series, alternating

379

series, alternating harmonic

380

series, Cauchy condensation test

381

series, comparison test

382

series, convergent

383

series, divergence test

384

series, divergent

385

series, geometric

386

series, harmonic

387

series, integral test

388

series, limit comparison test

389

series, multiplying

390

series, order of summation

391

series, p-series test

392

series, ratio test

393

series, root test

394

set

395

set of sets

396

set of subsets

397

Seville, Barber of

398

simple function

399

sin function, definition via Taylor series

400

square roots (in Q)

401

square roots (in R)

402

square roots via recursive sequence

403

stacking books (Tower of Lire)

404

subcover

405

subsequence

406

subsequences and sequences

407

subset

408

subset of countable set

409

substitution rule

410

sum

411

sum, partial

412

summation by parts

413

summation order

414

sup norm

415

sup norm and uniform convergence

416

supremum

417

supremum of sequence

418

surjection

419

symmetry

420

Taylor series

421

Taylor series for arc tan function

422

Taylor series for binomial function

423

Taylor series for cos function

424

Taylor series for exponential function

425

Taylor series for logarithm function

426

Taylor series for sin function

427

Taylor series for square root function

428

Taylor series may not converge to its function

429

Taylor series via definition

430

Taylor series via differentiation

431

Taylor series via division

432

Taylor series via integration

433

Taylor series via multiplication

434

Taylor series via substitution

435

Taylor series, geometric

436

Taylor's remainder

437

Taylor's theorem

438

Taylor’s theorem with Lagrange remainder

439

total differential

440

totally disconnected

441

transitivity

442

trapezoid rule

443

trapezoid rule, applications

444

twin prime conjecture

445

uncountable

446

uncountable set (example)

447

uncountable, perfect sets

448

uniform vs pointwise convergence

449

uniform continuity

450

uniform convergence

451

uniform convergence and differentiability

452

uniform convergence and integration

453

uniform convergence and sup norm

454

uniform convergence preserves continuity

455

uniformly continuous and continuous

456

union

457

union of closed sets

458

union of open sets

459

upper bound

460

upper sum

461

upper sum as decreasing operator

462

Weierstrass Convergence theorem

463

Weierstrass' nowhere differentiable function

464

Weierstrass, Karl (1815-1897)

465

well-ordered set

466

well-ordering

467

Yankees (New York baseball team)

468

Zeno of Elea (495?-435? B.C.)

469

Zeno's paradox